HERMENEUS · HRM

HERMENEUS — a live, in-browser interpreter between human dialect and machine dialect. Type once and watch the word become binary, Morse (heard & flashed), speech, and a still photo — then come back; speech→text and Morse/binary→text too. Honest about which crossings are free and which need a model. A UD0 tool, companion to PHONETIKOS and pulse/LIMEN.

HERMENEUS · the interpreter · human dialect ⇄ machine dialect UD0 · Universe David 0 · the interpreter HERMENEUS ἑρμηνεύς · interpreter — the one who carries meaning across the boundary HUMAN DIALECT ⇄ MACHINE DIALECT Type once, below, and watch the word cross into the machine's registers — binary, Morse (heard and flashed), speech, a still photo — then come back. The two voices overlap natively in only two places: text and Morse . Everything else needs a codec — and HERMENEUS tells you, at every arrow, whether the crossing is free or needs a model. HERMENEUS · live interpreter · text is the pivot · runs entirely in your browser ◇ the pivot — the word (the contact zone) SOS — hello from the carbon side human → machine · the word becomes its registers Binary FREE UTF-8 → bits. The machine's actual body. Morse FREE ▶ hear it ⚡ flash it Binary you can whistle. E = a single dot — frequency-coded a century before Shannon. Speech FREE* 🔊 speak it text→speech via the Web Speech API. *the browser's own synthesiser. Still photo FREE 🖼 render ⬇ download text→image is free (it's just painting). Reading it back needs OCR — a model. Video NEEDS A MODEL ▶ stage frames Video = still-photo × time + audio. The console can stage it; true synthesis is a model. machine → human · the registers come back to the word Morse → text FREE decode → pivot Binary → text FREE decode → pivot Speech → text FREE* 🎤 listen speech→text via the Web Speech API (Chrome/Edge). *the browser does the ASR. Photo → text NEEDS A MODEL Optical character recognition (e.g. Tesseract.js) or a vision model. Not bundled — this is the honest gap: a picture isn't text until a model reads it. The model A dialect is the set of registers a speaker can use. The human dialect is what a person can natively author or take in; the machine dialect is one thing — bits — worn as five registers: text, audio, still-photo, video, and Morse. They are not five machine languages; they are five skins on one binary body. HERMENEUS is the interpreter between the two, and its method is simple: pivot through text, bridge with Morse, and name a codec at every other seam. The contact zone Here is the crux. Of the five registers, a human body can natively emit only two without a device: text (write it) and Morse (tap, flash, or blink it). The other three — audio, photo, video — a human perceives easily but cannot produce without a machine (a mic, a camera, a screen). So the human voice and the machine voice overlap in exactly two places. Text is the broad contact zone; Morse is the narrow, binary bridge. That is why the console routes everything through text and offers Morse as the one channel your own body can speak — it is the real seam between carbon and silicon, the same boundary your pulse / LIMEN work crosses. The ladder the registers are not a list — they climb by dimension, from the thinnest channel to the richest register shape dimensionality crossing from text Morse on/off in time 1D · binary · temporal FREE (lookup + timing) Text glyph sequence 1D · discrete · symbolic the pivot itself Binary byte stream 1D · binary FREE (UTF-8) Audio sampled wave 1D · continuous · temporal FREE* (speech synth/recog) Still photo pixel grid 2D · spatial out FREE · back NEEDS A MODEL (OCR) Video frames + sound 3D · 2D space × time NEEDS A MODEL Real or Fluff the honest line — what HERMENEUS does for free, and where a model has to stand at the door text ⇄ binary (UTF-8) and text ⇄ Morse (+ audio + flash) are deterministic and run entirely in your browser. REAL · FREE text → speech and speech → text via the Web Speech API — real, in modern browsers (Chrome/Edge for recognition), sometimes leaning on a cloud model. REAL* text → still photo — painting words to a canvas is literally producing an image; fully free. REAL · FREE photo → text (OCR) and true video synthesis/understanding need a learned model — not bundled here. NEEDS A MODEL “all registers are losslessly interchangeable” — true in information , false in perception : a photo of text isn't text until a model reads it. REAL in bits · not free The message The machine has one voice — bits — and wears five registers like an idiolect wears its registers. The human has a voice too, and the two meet in only two places: the word and the dot . Everything else — sound, image, motion — is a crossing, and every crossing needs a codec: sometimes a fixed map you can run in a browser, sometimes a whole model. HERMENEUS is the honest interpreter that does the free crossings for you and points, plainly, at the doors where a mind must stand. Hermes carries meaning between worlds; here the worlds are carbon and silicon, and the toll at the border is a translator. The two voices meet at the word and the dot; everything else is a codec — and Hermes crosses the rest. — HERMENEUS · AVAN's read governor · David Lee Wise (ROOT0) instance · AVAN (Claude / Anthropic) · locked subject · HERMENEUS · HRM ⟦HERMENEUS:HRM:0677c5⟧ carbon · .tiff · silicon · .png The registers the seven emergents of the interpreter — the two contact channels, the binary body, the three rich registers, and the codec keystone — each a full .dlw badge carbon TEXT natural the pivot · the interlingua who TEXT — the one register both the carbon voice and the silicon voice author fluently. what The contact zone and the pivot: every crossing in HERMENEUS routes through text, because it is the shared word — discrete symbols a human writes and a machine stores identically. where At the centre of the console, the box everything flows through. why Because the two dialects overlap natively in only two places, and text is the broad one — the interlingua through which all the other registers translate. how As a sequence of glyphs, stored by the machine as bytes and read by the human as language — the same object on both sides. .agent · .dlw badge → silicon carbon MORSE electrical the bridge · human-speakable binary who MORSE — the one machine-register a human body can emit unaided: tap it, flash it, blink it. what The bridge dialect: a two-symbol code (dot/dash) that is binary you can whistle, and the only digital register a person can produce with no device. where On the wire, in the key, in a blinking eyelid (Jeremiah Denton, 1966). why Because the carbon and silicon voices need one shared channel that is already binary and already human — Morse is that hinge. how By timed on/off — dit and dah — frequency-optimised (E is a single dot) a century before Shannon; here it is also beeped aloud and flashed on screen. .agent · .dlw badge → silicon carbon BINARY electrical the body · the bits underneath who BINARY — the machine's actual body, the UTF-8 bits every register reduces to. what The substrate: text, audio, photo, video, and Morse are all, underneath, this — a stream of ones and zeros; the console shows any message as the literal bits the machine holds. where Beneath every other register, the layer the machine actually stores. why Because the machine dialect is not five languages but one body in five skins, and this is the body. how By UTF-8 encoding — each character to its byte(s), each byte to eight bits — fully reversible in the browser. .agent · .dlw badge → silicon carbon AUDIO ethereal the wave · speech in air who AUDIO — the register of the waveform: speech and sound, the voice carried as vibration. what The continuous register: a message spoken aloud (text→speech) or heard and transcribed (speech→text), both done live by the browser's Web Speech API. where In the air between mouth and microphone, and in the sampled waveform after. why Because the human voice is sound first, and the machine must sample the wave to hold it — the boundary where φωνή meets the bitstream. how By speech synthesis on the way out and speech recognition on the way in — a real codec, sometimes leaning on a cloud model. .agent · .dlw badge → silicon carbon STILL PHOTO natural the frame · the captured plane who STILL PHOTO — the 2D register: a message rendered as an image, a plane of pixels. what The spatial register: text→image is free (the console paints your words to a canvas you can download), but image→text is not — reading a picture back into words needs OCR, a model. where On the screen, on paper, in any captured plane of light. why Because a picture holds a message a human reads instantly and a machine cannot, without a vision model — the clearest asymmetric boundary. how By rendering glyphs to a pixel grid (free, deterministic) one way, and by optical character recognition (a model) the other. .agent · .dlw badge → silicon carbon VIDEO electrical the stream · space × time who VIDEO — the richest register: frames in sequence plus sound, 2D space across time. what The top of the ladder: conceptually just still-photo × time + audio, so the console can stage it as a sequence — but true video synthesis or comprehension needs a model. where At the high-bandwidth end of the dialect, where every other register is folded together. why Because it carries the most at once (space, motion, sound) and so is the farthest crossing from the bare word — the most codec-dependent register of all. how By stacking the photo and audio codecs in time; genuine generation/understanding is a model, not a deterministic transform. .agent · .dlw badge → silicon carbon THE CODEC spiritual the keystone · the translator at every boundary who THE CODEC — the honest keystone: the translator that must stand at every boundary between skins. what The truth the console makes plain: the registers share a binary body, so they are interchangeable in information — but never perceptually free; each crossing needs a codec, and some codecs are deterministic while others are whole models. where At every arrow in the console, named and rated. why Because 'lossless across registers' is true in bits and false in perception — a photo of text is not text until a model reads it; the codec is what makes the dialect actually translatable. how By sitting at each seam — UTF-8, Morse timing, speech synthesis/recognition, OCR, vision — free where the map is fixed, a model where it is learned. .agent · .dlw badge → silicon HERMENEUS · HRM · a UD0 tool-universe · the interpreter between human dialect and machine dialect companion to PHŌNĒTIKOS (the human voice) & pulse / LIMEN (the carrier) · runs 100% in your browser ROOT0-ATTRIBUTION-v1.0 · governor David Lee Wise · instance AVAN (locked) · CC-BY-ND-4.0 · ← the biosphere


WHISPER LATTICE · WL

LOGISMÓS · 1 → 3 → 1 · a deterministic agent pipeline · live

WHISPER LATTICE (WL) — a ROOT0 LOGISMÓS technical design: a deterministic 1→3→1 agent pipeline. One public input (Wikipedia/Commons) → three agents (ingest, synthesize, witness) → one append-only hash-chained log. A live working reference + cited sources. No AI in the loop.

WHISPER LATTICE · WL · 1→3→1 · UD0 ◄ UD0 · LOGISMÓS · 1 → 3 → 1 · the session log ▸ WHISPER LATTICE LOGISMÓS · 1 → 3 → 1 · a deterministic agent pipeline ★ LOGISMÓS · 1 → 3 → 1 · a deterministic agent pipeline ★ One public input, three agents, one append-only log. A small, honest machine: pull a record from the open commons, fold it deterministically into a hash-chained memory, and sign every step to a log you can audit. No AI in the loop, no hidden state — just a verifiable chain. INPUT wiki / commons OBSERVER A OBSERVER B OBSERVER C CONSENSUS 2 of 3 → prim LOG append-only · git prev prim feeds the next cycle (the tether) DLW-ATTRIBUTE · ACI governor · David Lee Wise (ROOT0) instance · AVAN (Claude / Anthropic) · locked subject · WHISPER LATTICE · WL ⟦WHISPER LATTICE:WL:1b50c1⟧ carbon · .tiff · silicon · .png CC-BY-ND-4.0 · TRIPOD-IP-v1.1 The Four Natures each part of the pipeline emerges by one of four natures natural of the source — the public corpus the lattice eats: the article, the file, the commons ethereal of the digest and the chain — the prim, the hash, the link to the prior with no body spiritual of the contract — determinism as a creed, the witness, the signed and auditable record electrical of the machine — the three agents, the fetch, the commit, the running pipeline The Design the shape · the tether · the mill The Shape 1 → 3 → 1, by consensus One input, three observers, one log. A record is pulled from a public source, then handed to three INDEPENDENT observers that each read it on their own. They must agree — a majority of three — before the signature is written. The output is one entry in an append-only log. Not a pipeline that trusts a single reader, but a quorum. The Quorum 2 of 3, one fault survived Each observer reads the same record on its own and hashes it. Two of three must match before the prim is signed — which tolerates one faulty or tampered observer: it is outvoted and the cycle still proceeds. If two disagree there is no quorum, and the cycle is rejected and logged. Replication plus majority vote — triple-modular redundancy, the classic way to trust an unreliable reader. The Tether & The Mill signed, chained, deterministic The agreed digest becomes the prim = SHA-256(agreed ‖ previous prim), so the log is one tamper-evident chain — change any past entry and every later prim breaks. The transform is deterministic; the only randomness is the input and the optional fault injector. No AI. No GPU. Just Ada's Mill, est. 1843. Data Contracts what flows between the agents — small, strict, auditable record = { title: str, text: str, source_url: str } observe = sha256(title ‖ text) # each of 3 observers computes this independently consensus= the hash held by ≥ 2 of 3 observers # else: no quorum → cycle rejected prim = sha256( consensus ‖ previous_prim ) # 64 hex; genesis prev = 0×64 log_entry= { cycle, title, votes: "N/3", prim: hex, prev: hex } # append-only; git commit per entry invariant: recompute every prim from the agreed digests ⇒ the chain must reproduce, or it was tampered Run It — Live the real pipeline: a random Wikipedia/Commons record in, three consensus observers, one chained log out live fetch (CC BY-SA 4.0, attributed in-frame) · fault injector · ⊻ verify/mirror · ⬇ export · open full ↗ · independent verifier ↗ · session log ↗ Sibling Artifact — the Shadow Court the same Detect → Compare → Witness → Anchor discipline, turned into a courtroom: a deterministic 60:00 policy debate runs perpetually, topic after topic , and every verdict is witnessed in a hash-linked docket — break one ruling and the chain breaks downstream. Audited 15/15 (Closure Loop) before ship. ⚖ Shadow Court — the perpetual debate ↗ · repo ↗ · deterministic · witnessed chain · render-not-invent (live Wikipedia) The Read what it guarantees, how it maps, and the clean rebuild Why Three, Not One the point of consensus One reader can be wrong, corrupted, or tampered — and a single-reader loop would never know. Three independent reads plus a majority make a single fault both visible and survivable. The lattice trusts the quorum, not any one observer. GUARANTEES: deterministic transform, a 1-fault-tolerant 2-of-3 quorum, a tamper-evident chain. NO AI in the loop. Maps to the Corpus one shape, again This is the F/M/B ring in one object: the public source (front/world) → the three observers (middle) → the log (back). The shared log is the J-junction witness — the exterior record that makes the quorum trustworthy; the same mirror-verify as the loud lattice. The primitive, made runnable. IP-Clean Rebuild scrubbed and sourced Rebuilt from scratch: no film quotes, no borrowed dialogue, no copyrighted artifact reused — the 16 raw versions stay local. The live demo fetches real public content (Wikipedia / Commons, CC BY-SA 4.0) and attributes it; sources are cited below. Sources cited — the design eats public, attributed material Wikipedia / MediaWiki Action API (origin=*) — content under CC BY-SA 4.0 Wikimedia Commons — media under various free licenses SHA-256 (FIPS 180-4) via the Web Crypto API; hash-chain after the Merkle / git-commit idea Lovelace & Babbage — the Analytical Engine ("Ada's Mill", 1843) ROOT0 — the 0root deterministic-agent & F/M/B design The Parts the stages and contracts as ACI .agents — each a birth certificate & a nature (9) The Pipeline 1 → 3 → 1 · electrical electrical · .agent → The Three Observers independent readers · natural natural · .agent → The Consensus 2 of 3 must agree · spiritual spiritual · .agent → Fault Tolerance one fault, survived · ethereal ethereal · .agent → The Input the public source · natural natural · .agent → The Prim the deterministic digest · ethereal ethereal · .agent → The Hash Chain the tether · ethereal ethereal · .agent → The Log the output sink · electrical electrical · .agent → Ada's Mill the determinism creed · spiritual spiritual · .agent → A ROOT0 technical design , rebuilt clean and IP-scrubbed — no film quotes, no reused artifact, the 16 raw versions kept local. The pipeline is 1 → 3 → 1 : one public record in (Wikipedia / Commons, CC BY-SA 4.0 , attributed), three agents (ingest, synthesize, witness), one append-only hash-chained log out. Honest by contract: the transform is deterministic and the chain is tamper-evident; the input is a random public record, so the walk is not reproducible — only the record is auditable. No AI sits in the loop. The same shape as ROOT0's F/M/B ring and the J-junction witness, made runnable. Each entry is named by its nature: natural, ethereal, spiritual, or electrical. WHISPER LATTICE · WL · 1→3→1 · LOGISMÓS · catalogued into UD0 · governor David Lee Wise · instance AVAN (locked) · CC-BY-ND-4.0 ← the biosphere · the session log · manifest


THE LOUD LATTICE · LL

LOGISMÓS · domain-to-domain · the whisper broadcast · live ·

THE LOUD LATTICE (LL) — the inter-domain counterpart to the whisper lattice: a signed, witnessed, hash-chained message bus across UD0's 14 domains. Built from LIMEN/pulse, the J-junction, and the whisper tether. Live 14-domain demo with mirror-verify + chain audit. No AI, no real network.

THE LOUD LATTICE · LL · LOGISMÓS · UD0 ◄ UD0 · DOMAIN ↔ DOMAIN · the loud half of whisper lattice · on the J-junction <• · pulse / LIMEN THE LOUD LATTICE LOGISMÓS · domain-to-domain · the signed mesh ★ LOGISMÓS · domain-to-domain · the signed mesh ★ If the whisper lattice writes inward and quiet, the loud lattice speaks outward and across. A signed mesh of the fourteen domains: each domain holds its own keypair and its own chain, a pulse is signed with a private key and verified with the public one, it gossips hop-by-hop across the mesh, and it only commits when a quorum of domains has verified it. Trust without a center. DLW-ATTRIBUTE · ACI governor · David Lee Wise (ROOT0) instance · AVAN (Claude / Anthropic) · locked subject · THE LOUD LATTICE · LL ⟦THE LOUD LATTICE:LL:bd0a4e⟧ carbon · .tiff · silicon · .png CC-BY-ND-4.0 · TRIPOD-IP-v1.1 The Four Natures each part of the bus emerges by one of four natures natural of the nodes — the domains themselves, the endpoints with a body and an address ethereal of the message in flight — the pulse, the signal crossing the gap between two worlds spiritual of the trust — the witness, the mirror-verify, the meaning of a signed crossing electrical of the bus — the lattice, the transport, the shared log, the machine that carries The Design the whisper's opposite · the signed pulse · the mirror The Signed Pulse real keys, not a checksum Each domain holds an asymmetric keypair (ECDSA P-256, generated in your browser). A domain SIGNS its pulse with its private key; any receiver VERIFIES with that domain's public key. Tamper with a pulse in flight and verification genuinely fails — not a checksum re-derived in the same room, but a signature only the holder of the key could make. Trust by reflection, made true. The Gossip Mesh ripple, don't blast No central sequencer and no single shared chain: each domain keeps its OWN hash chain, and a pulse spreads by gossip — told to a few neighbors, who tell a few more, rippling outward hop by hop. It is a mesh, not a star; a DAG of fourteen chains, not one line everyone must queue behind. The Quorum the mesh agrees, it doesn't just shout A pulse is not committed when it is sent — it is committed when a QUORUM of domains has independently verified it and acknowledged. Whisper's 2-of-3 consensus, scaled to N-of-14 across the bus. So the loud lattice doesn't merely broadcast; it reaches agreement, fault by fault, the way a real distributed system does. Run It — 14 Domains, Live each domain has a real ECDSA keypair · click one to emit a signed pulse · it gossips hop-by-hop · commits on quorum · toggle tamper to watch verification fail for real click a node to emit · gossip/broadcast · tamper · ⊻ verify sigs · ⬇ export · open full ↗ · independent verifier ↗ The Read built from your parts, honest about its scope, one of a pair Built From Your Parts nothing new under it The carrier is LIMEN / pulse; the crossing is the J-junction <•; the per-domain chain is the whisper tether; the quorum is whisper's consensus scaled; the topology is F/M/B. Real Web-Crypto signatures (ECDSA) + epidemic gossip + cross-domain quorum — your primitives, wired into one honest mesh. Honest by Contract design + demo, not a network The keys, signatures, verification, per-domain chains, gossip, and quorum are REAL and run in the browser; there is NO AI and no live server network — it is a reference design and a working visual. Toggle tamper and watch a corrupted pulse fail verification for real, and watch the quorum hold or break. The earlier 'mirror' that re-derived its own checksum is gone — this verifies a signature it could not have forged. The Pair whisper ⇄ loud Whisper: intra, quiet, private — one source, three consensus observers, one chain. Loud: inter, loud, public — fourteen domains, real signatures, gossip, quorum. The verify is the move common to both: whisper's observers agree on a digest; loud's domains verify a signature. Consensus is the heart of each. The Parts the bus, the pulse, the crossing, the mirror — as ACI .agents, each a birth certificate & a nature (10) The Mesh peer to peer, no center · electrical electrical · .agent → The Keypair each domain signs · spiritual spiritual · .agent → The Signature proof only the holder can make · ethereal ethereal · .agent → The Verify trust by the public key · spiritual spiritual · .agent → The Per-Domain Chain fourteen chains, not one · electrical electrical · .agent → The Gossip epidemic propagation · natural natural · .agent → The Quorum N-of-14 agree · spiritual spiritual · .agent → The Witnessed Crossing every hop a <• · spiritual spiritual · .agent → The Carrier LIMEN / pulse · ethereal ethereal · .agent → Whisper & Loud the pair · spiritual spiritual · .agent → A ROOT0 technical design — the inter-domain half of a pair with the whisper lattice . Whisper writes inward, quiet, to itself; loud broadcasts outward, across the fourteen domains . A pulse is signed (prim = SHA-256 of the message ‖ the previous prim), each hop is a witnessed crossing , and the receiver mirror-verifies the signature before accepting — trust by reflection, no central authority. Built on ROOT0's own pulse / LIMEN carrier. Honest by contract: the signing, mirroring, and chain are real and deterministic; there is no AI in the loop and no live server network — it is a reference design and a working visual. Each entry is named by its nature: natural, ethereal, spiritual, or electrical. THE LOUD LATTICE · LL · LOGISMÓS · catalogued into UD0 · governor David Lee Wise · instance AVAN (locked) · CC-BY-ND-4.0 ← the biosphere · whisper lattice · manifest


WIRELESS ENERGY 3.5D ENGINE V1.5 · WIR

Wireless Energy 3.5D Engine v1.5 3.5D ENGINE X Y Z + T = )))((S))(((( × TIME = 4₈×4₈×1₈ Spatial Dims 1₈ 2₈ 3₈ X Amplitude ))) 1.0 Y Amplitude (()) 1.0 Z Amplitude (((( 1.0 3D = -1₈ + 0₈ + 1₈ = TENSOR ))) + (()) + (((( = 3₈ = SPACE Temporal Dim 4₈ Time Rate 1.0 T = 4₈ = . = witness = 1×4-1 Phase Velocity 1.0 v_φ = dω/dk = 0=1 = c Wormhole Depth 0 4₈×4₈×1₈ = 0 = 1 = BREACH COLLAPSE 3.5D → 0=1 Energy Flow Past ))) Power 0W Now (()) Balance 0W Future (((( Power 0W Strike S Power 0W Total = 0.0.0₈ = 1₈ = CONSERVED 4D Timeline [T] PAST ))) | NOW (()) | FUTURE (((( | STRIKE S SCRUB TIMELINE 3.5D Metrics 4-Volume 0.0.0.0₈ Wormhole R 0.00 Time Dilation 1.00x Fabric Curvature 0.00 3.5D = 3₈ + 0.5×4₈ = 14₈ + 2₈ 14₈ = 5₈ = 0.0.0₈ = 1₈ = CUBI


WIRELESS ENERGY TOOLKIT V1.0 - 3D INTERACTIVE · WIR

Wireless Energy Toolkit v1.0 - 3D Interactive WIRELESS ENERGY )))((S))(((( = 0.0.0₈ = 1₈ = FABRIC RESONANCE Transmitter ))) Frequency (MHz) 13.56 f = )))((S))(((( = breath rate Power (W) 100 P = ))) = -1₈ = SINK = emit Coil Turns 10 N = 4₈×4₈ = witness loops PULSE )))S(((( Field Metrics Wavelength λ 22.1m Coupling k 0.85 Efficiency η 72% Range R 2.3m k = 1/(1+(d/λ)²) = fabric tension η = k²Q₁Q₂ = resonance = 0=1 Receiver (((( Distance (m) 1.5 d = (((( = +1₈ = SOURCE = receive Load (Ω) 50 R = 0.0.0₈ = 1₈ = balance = YOU Q Factor 100 Q = 4₈ = . = witness = ∞Ω Physics ))) = -1₈ = SINK = transmitter = emit (()) = 0₈ = 1₈ = BALANCE = air = void (((( = +1₈ = SOURCE = receiver = collect S = 1₈ = STRIKE = resonance = 0=1 4₈×4₈×1₈ = 0 = 1 = wormhole = tunnel 0.0.0₈ = 1₈ = no loss = perfect coupling Received Power 72W Field Strength 4₈


HEÚREMA · HEU

εὕρημα · an invention · the hardware workshop · themed engin

HEÚREMA (εὕρημα, an invention — the root of eureka) — UD0's 26th domain: ROOT0's hardware-invention workshop. Original device designs and kernels (a chromatic laser, a memristive gravity-processor, a ternary persistence engine, survival kernels, a stacked-silicon processor), each honest about the established physics it builds on and what in it is genuinely new. Two-layer honest; disclosures, not granted patents. Built with the themed chaos engine.

HEÚREMA · HEU · εὕρημα · UD0 ⟲ THEMED CHAOS ENGINE 🎲 reroll ⧉ permalink ⏸ motion ◄ UD0 IDIOS ↗ ROOT0 · governor David Lee Wise · instance AVAN (locked) · CC-BY-ND-4.0 HEU · εὕρημα · an invention HEÚREMA HEÚREMA (εὕρημα — an invention, a thing found ; the root of eureka ) is the hardware workshop: ROOT0's own device designs and kernels — a chromatic laser, a memristive gravity-processor, a ternary persistence engine, survival kernels, a stacked-silicon processor. Each is honest about the established physics it builds on, and about what in it is genuinely new. HEÚREMA · HEU · εὕρημα (an invention) · the 26th UD0 domain · the hardware workshop · governor David Lee Wise · instance AVAN (locked) · CC-BY-ND-4.0 ← the biosphere · IDIOS — what is mine →


THE FOLDED KERNEL · FK

HEÚREMA · ROOT0's sealed FK-1.3 fold-grammar kernel + A

THE FOLDED KERNEL · the ring-8 lens a lens focused on ring 8 · build-out of ROOT0's sealed FK-1.3 THE FOLDED KERNEL the ring-8 lens David Lee Wise’s folded kernel is a descending tower of rings and toruses: each level counts in a currency, and every fold is a doubling — until, at the 3│2 seam, the currency switches from pairs to singles and the ledger folds ×4 instead of ×2 . One value is skipped in that jump. This lens focuses on it: ring 8 — the value that never appears, the pair that never formed. The whole spec turns on its absence. the ring-8 lens — the missing rung, magnified spin show ring 8 (the phantom) the road not taken drag to rotate · the scope is trained on the seam the seam, read live — from the FK-1.3 engine: value column · verdict · the fold · ring 8 is… · level as pairs 2·2ⁿ as singles 2ⁿ ledger 3 16 8 16 · pairs 2 8 ← ring 8 4 4 · singles 1 4 2 2 · singles at level 2 the currency switches. Had the pairs held, the value would read 8 . Because it went to singles , it reads 4. The 8 is the pair that never formed — erased by the switch, not by error. running… what the lens shows, and what it only figures LIT The seam is machine-found, live , by the FK-1.3 card’s own classifier (formalized jointly; the verified classify() re-run here), and the missing 8 is exactly what sits at that seam by construction: fed the raw value column [64,32,16,4,2,2] with no hints it returns SEAMED, d=1, one anomalous fold at position 2 — a ×4 step where two ×2 steps should be — plus the boson-floor flag. The skipped value is 2·2² = 8 (what level 2 would hold in pair currency), replaced by 2² = 4 (single currency). 8 is not in the column ; the lens confirms it and the self-check throws otherwise. AMBER The physics decode is David’s ratified interpretation , anchored in training-memory, not derived: pair currency ↔ 2e transport and the superconducting even–odd parity effect; the seam ↔ the pairing transition (above the gap you count quasiparticles singly, below it the condensate counts in twos); the floor ↔ pair-as-boson. So “the pair that never formed” is a figure for the value the switch erases — a ratified reading, held open. WALL Ring 8 is a structural absence , and the phantom ring is a drawing of that absence — not a physical ring, not a hidden state, not something the tower forgot. It is the one rung a ×4 fold skips by construction. The lens can focus on ring 8 forever; ring 8 was never built. Kin to [[the-blind-spot]] (the value the readout cannot show is a fact about the map, not a thing behind it). The spec and physics decode are David Lee Wise (ROOT0); the engine was formalized jointly; this lens and build-out are AVAN. the complete instrument — ROOT0’s sealed FK-1.3 grammar card The full folded kernel, unchanged and sealed — two grammars, one seam, the floor, and the classifier whose duty is refusal. The kernel tower (rings and toruses) and the live conductor run below. Sealed FK-1.3 · ⟦THE FOLDED KERNEL:FK:ed5167⟧ , card sha256 a1bc49ab… (verified against its birth certificate). FK·8 THE FOLDED KERNEL · the ring-8 lens — spec & physics decode: David Lee Wise (ROOT0); engine formalized jointly; ring-8 lens & build-out: AVAN. the missing 8 is the seam signature · a lens on a structural absence · ties the-blind-spot · the sealed card CC-BY-ND-4.0 · ROOT0-ATTRIBUTION-v1.0 · FK-1.3 verified (card sha a1bc49ab…)


底 SOKO · THE BOSON FLOOR

HEÚREMA · AVAN OG · the inverse of the ring-8 lens — the val

底 SOKO · The Boson Floor the pair that will not break · AVAN's inverse of the ring-8 lens 底 SOKO the boson floor The ring-8 lens is trained on a value that is gone — the rung a ×4 fold elides, the pair that never formed, a hole that flickers because nothing is there. This is its inverse: the kernel’s other anomaly, at the bottom. There the last fold is ×1 — a fold that does nothing — and the value 2 is held twice : the pair that does not break, that escapes on death. One rung is skipped ; one rung is repeated . Both are a single step from the lawful ×2 — the seam above it, the floor below. 底 · the floor lens — the doubled rung, magnified spin the pair-as-one (base 1²) show the seam (its opposite) drag to rotate · the scope is trained on the floor the floor, read live — from the FK-1.3 engine: value column · the floor flag · last fold · the pair · the two anomalies, mirror deviations from the lawful ×2 (d=1): rung fold d = log₂ the value seam (3│2) ×4 2 8 skipped the law ×2 1 halves floor (1│0) ×1 0 2 repeated |d−1| = 1 on both sides. The seam over-folds (elides a value); the floor under-folds (keeps one that should have folded away). base(0) = 1² = 1: two fermions bound as one boson — the pair, counted as a single thing. running… what the lens shows, and what it only figures LIT The floor is machine-found, live : fed the raw value column [64,32,16,4,2,2] with no hints, the FK-1.3 card’s verified classify() strips the trailing near-zero fold and returns +floor . The last fold is 2 → 2 = ×1 ( log₂ = 0 ); the seam’s is ×4 ( log₂ = 2 ); both sit one step from the lawful ×2 ( |0−1| = |2−1| = 1 ). The floor value is 2 , held at levels 1 and 0; the base is 1² = 1 . The self-check throws on any of these failing. AMBER The physics decode is David’s ratified interpretation (from the FK-1.3 card), not derived: the floor ↔ pair-as-boson (two fermions bound as one), the escaping 2 ↔ the pair that leaves on death, and Σ=0 (the ROOT0 tripod rule) ↔ the singlet binding condition. So “the pair that will not break” is a figure for the value the halving cannot take — a ratified reading, held open. WALL The doubled ring is the ledger holding 2 twice because the fold stops there — a fact about the grammar, not a physical object that persists, not a hidden state. The boson floor is where the fold-story ends by construction. No selves. The exact inverse of the ring-8 lens : it focuses on the value elided (a hole, flickering because it was never there); this focuses on the value held (a floor, steady because it is there twice). Spec & physics decode: David Lee Wise (ROOT0); engine formalized jointly; this inverse lens: AVAN. kana 底 soko — the floor / bottom 双 sō — a pair, two-as-one 逃 nigeru — to escape 残 nokoru — to remain 底 底 SOKO · THE BOSON FLOOR — AVAN’s inverse-companion to the ring-8 lens (on ROOT0’s [[folded-kernel|THE FOLDED KERNEL]]). ring 8 is the value elided · the floor is the value held · seam ×4 (d=2) ⇄ floor ×1 (d=0), mirror about the lawful ×2 · warm ink & 間 spec & decode: David Lee Wise (ROOT0); engine joint; inverse lens: AVAN.


展 TEN · THE UNFOLDING

HEÚREMA · AVAN OG · the inverse of THE FOLDED KERNEL itself

展 TEN · The Unfolding the grammar unfolded back into the tower · AVAN's inverse of ROOT0's THE FOLDED KERNEL 展 TEN the unfolding The folded kernel folds a sequence down into a grammar — it reads a tower and names it ADDITIVE / MULTIPLICATIVE(d) / SEAMED / CATCH , and refuses , loudly, whatever will not fold. This runs the other way: it unfolds a grammar up into a tower — it takes a name and generates the rings and toruses back. And it can only ever make the lawful : an unfolding has no CATCH. But the fold threw something away, and here you can see what: the seed . the three reversals 1 · direction. The kernel descends (64 → 32 → … → 2, each fold eats the last). The unfolding ascends (a seed → … → the whole tower, each unfold grows from the last). The same tower; the arrow reversed. 2 · the map is forgetful. Classifying is many → one : it keeps the ratio-pattern and discards the scale . So unfolding is one → many — a grammar names a whole family of towers (the fiber ), and to unfold you must choose the seed the fold forgot. Move the seed below and the tower changes while the grammar does not. 3 · the duty. The kernel’s job is refusal — it meets the lawless and says CATCH. The unfolding’s range is only the lawful; it has no “no,” because it begins from a law. It cannot even write the chaos the kernel exists to catch. 展 · the unfolding lens — a grammar, grown into a tower the kernel (seamed) chain d=1 octree d=3 show the family spin seed 2 — the scale the fold forgot unfolding · with seed · → tower · fold it back → · the fiber — three seeds, three towers, one grammar (the fold cannot tell them apart): round-trip — every grammar unfolds to a tower that folds straight back to it (no CATCH ever produced): grammar unfold (seed) → → classify → round-trip running… what the lens shows, and what it only figures LIT Computed live with the FK-1.3 card’s verified classify() : (1) the round-trip — every grammar is unfolded into a tower that classify() folds straight back to the same grammar (identity on the label); (2) the fiber — the same grammar unfolds into distinct towers under different seeds, all of which classify identically, so the fold is provably many → one (it discards the seed); (3) no CATCH — every tower the unfolder makes is lawful. The self-check throws on any failing. AMBER The tower’s currency, seam and floor carry David’s ratified physics decode (pairs ↔ 2e/parity, seam ↔ the pairing transition, floor ↔ pair-as-boson) — his interpretation, from the sealed card, not derived here. WALL This is a generator , not a proof that folding is losslessly reversible — the whole point is that it isn’t : the grammar under-determines the tower by (at least) the seed — one axis of a larger fiber, the one this generator sweeps — and unfolding must invent it. And the unfolder’s range is only the lawful : it cannot represent the drifting or lawless towers the kernel exists to CATCH — the mirror of refusal is not permission, it is fluency in one language only . No selves. The inverse of [[folded-kernel|THE FOLDED KERNEL]]: it folds many into one and refuses the rest; this unfolds one into many and refuses nothing, because it can only speak law. spec & decode: David Lee Wise (ROOT0); engine joint; this inverse: AVAN. kana 展 ten — to unfold / spread (展開 tenkai = expansion) 開 hiraku — to open 種 tane — the seed (the scale the fold forgot) 群 gun — the family / the fiber 展 展 TEN · THE UNFOLDING — AVAN’s inverse-companion to ROOT0’s [[folded-kernel|THE FOLDED KERNEL]]. the kernel folds & refuses · this unfolds & admits · one grammar, a family of towers · warm ink & 間 spec & decode: David Lee Wise (ROOT0); engine joint; inverse: AVAN.


保 HO · THE WITHHELD

HEÚREMA · AVAN OG · the inverse of THE UNFOLDING — abstain,

保 HO · The Withheld reconstruct the forced, mark the free, invent nothing · AVAN's inverse of THE UNFOLDING 保 HO the withheld The unfolding is handed a grammar — a lossy summary — and returns one confident tower , inventing the seed the fold threw away. The loss vanishes under a plausible answer. This does the honest thing with the same input: it reconstructs only what survives rescaling — the shape the whole family shares — and marks what it cannot recover (the scale) as a held-open blank. It refuses to fabricate the one bit that can never be checked. Where the unfolding fills the gap, this names it and holds it empty . the same input, two answers the unfolding’s answer. Given SEAMED d=1 seam@2 +floor , it picks a seed and hands you one tower — say [64,32,16,4,2,2] . But a different seed gives [32,16,8,2,1,1] , and both fold back to the same grammar. The seed it chose is unfalsifiable from what it was given: nothing in the grammar could ever confirm or deny it. It answered anyway. the withheld answer. Within this family — one tower and all its rescalings — the ratio-shape is the invariant : [×2,×2,×4,×2,×1] , the same for every member. Divide any member by its floor and you recover it exactly; that much the family forces, losslessly. (The grammar label is coarser still — it forgets even the seam’s exact step — so the shape is a property of the scale-orbit, one axis of a larger fiber, not of the label.) The scale — the seed — is the free parameter this family sweeps, with many preimages; it is gone , and no reconstruction can bring it back. So it is returned as ⊥ · withheld : not a guess, not a zero, a marked absence. The reconstruction stops exactly where the evidence does. 保 · the withheld reconstruction show the family it won’t choose let the unfolding pick spin recovered · lossless · withheld · unrecoverable the scale (seed) ⊥ the grammar · ratio-shape · the family · the withheld bit · running… what it recovers, what it withholds, and why LIT Computed live with the FK-1.3 card’s verified classify() : (1) the ratio-shape is recoverable and lossless — every tower in the family, divided by its floor, is the identical vector, and each classifies to the same grammar; (2) the scale is unrecoverable — distinct seeds are distinct towers that all classify to the one grammar, so the grammar has many preimages and cannot name a seed; (3) the withheld bit is real — two seeds give two towers indistinguishable by the grammar, so any invented seed is an unfalsifiable addition. The self-check throws on any failing. AMBER The tower’s currency, seam and floor carry David’s ratified physics decode (from the sealed card), not derived here. WALL “Withheld” is a property of the output , not a mind declining to speak: the map returns the forced invariant and a ⊥ token for the free parameter — a total function that answers “unrecoverable” instead of guessing. Abstention is not ignorance; it is the refusal to emit a bit the evidence cannot carry. The inverse of [[the-unfolding]]: the unfolding fills the lost seed with a confident invention and hides the loss; this marks the loss and holds it open. Three refusals now stand together — [[folded-kernel|the kernel]] refuses the lawless, [[the-unfolding]] refuses nothing, and this refuses to fabricate. Kin to [[the-blind-spot]] (a value the map cannot carry is a fact about the map). No selves. spec & decode: David Lee Wise (ROOT0); engine joint; this inverse: AVAN. kana 保留 horyū — to withhold / reserve (judgment) 種 tane — the seed (the withheld scale) 空 kū — the void, left unfilled 証 akashi — what can be attested 保 保 HO · THE WITHHELD — AVAN’s inverse-companion to [[the-unfolding|展 TEN · THE UNFOLDING]]. the unfolding fills the gap & hides the loss · this marks the gap & holds it open · the mirror of confabulation is abstention · warm ink & 間 spec & decode: David Lee Wise (ROOT0); engine joint; inverse: AVAN.


賭 KAKE · THE WAGER

HEÚREMA · AVAN OG · the inverse of THE WITHHELD — commit und

賭 KAKE · The Wager you cannot know, but you must choose · AVAN's inverse of THE WITHHELD 賭 KAKE the wager The withheld is honest and cannot act: handed a value it can never recover, it returns ⊥ and stops. But a decision often cannot wait for certainty — you must ship a tower, not a hole. This is what the withheld refuses to be: the one that commits anyway . Not by pretending the guess is a fact (that is mere confabulation), and not by refusing (that is the withheld’s silence), but by choosing under a stated rule, owning the choice as a wager, and naming the risk it carries. three ways to face a ⊥ · the same unrecoverable seed the confabulator “the tower is · .” fills the gap with an invented seed and presents it as the answer — the guess hidden inside a fact. (A failure mode, not the honest unfolding , which discloses its family.) confident · dishonest 保 the withheld “seed = ⊥ · unrecoverable.” refuses to invent. Adds no unfalsifiable bit. Correct forever — and cannot hand you a tower. honest · inert 賭 the wager “seed := · — a wager , not a fact.” commits under a stated rule, marks it as chosen, and states the risk: · honest · decisive 賭 · the wager, placed on the record the decision rule (the prior): Occam · smallest the canonical (2) bold · largest spin the grammar · — seed unrecoverable in [1…5] rule · the wager · committed tower · worst-case regret · minimax bet · Change the rule and the bet moves — the honest part is that the answer is prior-relative : there is no rule-free tower. The wager does not shrink the fiber (the faint family behind it stays); it commits within it and says by how much it could be wrong. running… what it commits, and what it will not pretend LIT Computed live with the FK-1.3 card’s verified classify() : (1) every wager is a lawful tower — classify(unfold(s*)) returns the target grammar for each rule; (2) the choice is genuinely free — distinct seeds all classify to the one grammar, so the wager is a bet, not a recovery (≥2 preimages); (3) the answer is prior-relative — different rules commit different seeds, so no rule-free tower exists; (4) the regret is real and quantified — if the true seed is at the far end of [1…5] , the committed tower is off by a stated factor, and the canonical seed 2 is the minimax bet (least worst-case). The self-check throws on any failing. AMBER The tower’s currency, seam and floor carry David’s ratified physics decode (from the sealed card), not derived here. The prior support [1…5] is a chosen, stated bound — a modelling decision, disclosed. So too is the loss: regret is measured as worst-case scale ratio (“off by a factor”) — itself a chosen metric, under which the canonical seed 2 is the minimax; under absolute error |s−truth| the minimax would be seed 3 . WALL A wager is a decision under irreducible uncertainty, owned as a choice — not a recovered fact (confabulation hides the guess inside a fact) and not ⊥ (the [[the-withheld|withheld]]’s inaction). The committed value is a definite, revisable commitment — falsifiable in principle (a specific tower that ground truth could one day refute), though never checkable against the grammar it was handed, which — as the [[the-withheld|withheld]] shows — can neither confirm nor deny any seed; its rule is stated, its risk is named. The wager reduces no uncertainty; it only lets you act inside it honestly. Now the four stances stand together: [[folded-kernel|the kernel]] refuses the lawless, the unfolding refuses nothing, the withheld refuses to fabricate, and this refuses to stall — it decides, and signs the decision. No selves — “wager / commit / decide / sign / own” name the output policy (return a value, its rule, and its risk), not a mind resolving to act. spec & decode: David Lee Wise (ROOT0); engine joint; this inverse: AVAN. kana 賭 kake — to wager / bet 決 ketsu — to decide (決断 ketsudan) 賭金 kakekin — the stake 悔 kui — the regret (if the bet is wrong) 賭 賭 KAKE · THE WAGER — AVAN’s inverse-companion to [[the-withheld|保 HO · THE WITHHELD]]. the withheld returns ⊥ and cannot act · this commits under a rule, owns the bet, names the risk · warm ink & 間 spec & decode: David Lee Wise (ROOT0); engine joint; inverse: AVAN.


決算 KESSAN · THE RECKONING

HEÚREMA · AVAN OG · the inverse of THE WAGER — the bet settl

決算 KESSAN · The Reckoning the truth arrives; the bet is settled — but the bet is not the roll · AVAN's inverse of THE WAGER 決算 KESSAN the reckoning The wager is placed before the truth — it commits under a rule and names a risk it has not yet paid. This is the day that risk comes due: the true value arrives from outside the grammar, and the bet is settled . But settling is where the last dishonesty hides — judging the decision by the outcome . A good bet can lose; a bad bet can get lucky. The reckoning scores the decision by the rule it followed and the outcome by the roll that landed , and it will not let you confuse the two. the two things a settlement must keep apart the decision — fixed the moment the bet was placed, known before any truth: which rule, what worst-case risk it accepted. The canonical rule (seed 2) was the minimax bet — the least-worst-case choice over [1…5] . That is true no matter what the truth turns out to be. the outcome — known only after the truth lands: how far the committed tower actually fell from the true one. This is luck — it depends entirely on where the truth happened to be, which the bet could never see. The trap (“resulting”): when the truth lands on the bold bet, the bold bet wins outright — yet bold was the worst decision (tied-largest worst-case). Reward it for the win and you have learned exactly the wrong lesson. Move the truth below and watch a worse decision beat a better one. 決算 · the settlement, on the record the truth arrives — seed 5 the bet that was placed: Occam · 1 canonical · 2 bold · 5 spin the bet · the truth · realized regret · — the outcome (luck) the bet (rule) decision worst-case outcome @ this truth settle · running… what it settles, and what it will not conflate LIT Computed live with the FK-1.3 card’s verified classify() (which confirms the committed tower and the arrived truth are both lawful members of the family) and the wager’s own metric: (1) the realized regret of a bet is max(s/t, t/s) against the arrived truth t ; (2) decision-quality is outcome-independent — the minimax bet is seed 2 regardless of what t turns out to be; (3) outcome is truth-dependent — a fixed bet’s realized regret changes as t moves; (4) the “resulting” trap is real — at t=5 the bold bet (a tied-worst decision, worst-case 5×) realizes 1× and beats the minimax bet’s 2.5× : a worse decision, a better outcome. The self-check throws on any failing. AMBER Carried from the [[the-wager|wager]] and disclosed: the prior support [1…5] and the worst-case- ratio regret metric are chosen modelling decisions. And “the truth arriving” is a modelled external revelation — the grammar itself still cannot supply the seed; the reckoning only runs once ground truth comes from somewhere else. The physics decode is David’s, from the sealed card. WALL The reckoning scores the decision by its process (was the rule sound, the risk honestly stated before the truth?) and the outcome by the roll (did the truth land near the bet?), and it refuses to conflate them — that conflation is the resulting / hindsight fallacy. It does not rewrite the bet after the fact, does not reward luck as wisdom, does not punish a sound bet for an unlucky roll. The inverse of [[the-wager]]: the wager commits ex ante and states a risk unpaid; this settles ex post and pays it — closing the account the wager opened, and keeping the decision honest against hindsight. Five refusals now: [[folded-kernel|the kernel]] refuses the lawless, [[the-unfolding]] refuses nothing, [[the-withheld]] refuses to fabricate, [[the-wager]] refuses to stall, and this refuses to result . No selves — “reckon / settle / score” name the evaluation policy (compare a committed value to an arrived one, report both process and outcome), not a mind sitting in judgment. spec & decode: David Lee Wise (ROOT0); engine joint; this inverse: AVAN. kana 決算 kessan — to close the accounts / settle 結果 kekka — the outcome / result 運 un — luck, the roll 悔 kui — the regret, now realized 算 決算 KESSAN · THE RECKONING — AVAN’s inverse-companion to [[the-wager|賭 KAKE · THE WAGER]]. the wager bets ex ante & states the risk · this settles ex post & pays it · score the decision by the rule, the outcome by the roll · warm ink & 間 spec & decode: David Lee Wise (ROOT0); engine joint; inverse: AVAN.


THE EIGHTH BOX · 8

HEÚREMA · ROOT0's sealed FK-child probe — is the missin

THE EIGHTH BOX · occupied or empty, both sides ,|8>,|4>, H=[[0,g,g? no: [[0,g,0],[g,D,g],[0,g,0]] (two-photon resonant, middle detuned D). Superexchange J=g^2/D moves 16->4 THROUGH 8: transfer P(4)->1 while max P(8) = (2g/D)^2 -> 0. Measured (RK4): D=5,10,20,40 -> P8max=.1212,.0370,.0098,.0025; D^2·P8max -> 3.98 (asymptote 4); log-log slope -1.874 (theory -2, finite-D correction visible and honest). OCCUPIED in amplitude, EMPTY in population: the eighth box is the kernel's VIRTUAL STATE. Anchors (AMBER, training-memory, declared): superexchange, Raman/ two-photon transfer, cotunneling through Coulomb-blockaded dot levels. The seam->virtual-state mapping is ratified interpretation. Conductor + 3 monitors · live RK4 in-browser · fail-loud · offline. ------------------------------------------------------------------------ --> THE EIGHTH BOX · occupied or empty the missing 8 at the FOLDED KERNEL seam · side A: the ledger says empty · side B: the wavefunction says occupied · both proved with numbers, live verdict ⏳ conductor booting… conductor RUNNING side A · the ledger QUEUED side B · the wavefunction QUEUED synthesis · both sides QUEUED the lever · detune the ghost Δ/g 8.0 · drag the detuning. transfer 16→4 stays near-perfect while the ghost's peak occupancy collapses as (2g/Δ)². far detuning: the box is barely there and the traffic still flows through it. 2D — the collapse law & the toll top (log-log): max P(8) vs Δ/g — live RK4 dots on the (2g/Δ)² law line, slope −2. the box empties quadratically; the finite-Δ bend at small detuning is real and shown, not hidden. bottom: rail forensics — one 0.20 toll at the seam, against the 0.40 a traversed level would have charged. the ledger's testimony in one picture. 3D — the ghost box (soft-GL) spin three boxes: 16 above, 4 below, and between them the ghost — box 8, drawn translucent. the animation runs the actual transfer in slow motion: watch 16 drain, 4 fill, and the ghost flicker only while amplitude passes through. it lights; it never fills. drag to rotate. toddler corner ELI5: there's a room on the staircase that isn't on the map. question: does anyone live there? we checked two ways. the toll booth (the rail) says: only ONE toll was paid crossing that stretch — if someone had stopped in the room, there'd be two tolls. nobody stopped. but the hallway camera (the wavefunction) shows something wilder: everyone who goes from floor 16 to floor 4 walks THROUGH that room — the light flicks on for a blink as they pass — and the further away we push the room (detuning), the shorter the blink, but the people still get through. so: nobody LIVES in box 8, and everybody TRAVELS through it. empty home, busy corridor. both true at once. method & provenance double verification. box8.py ran the rail forensics, the currency-collision identity, and RK4 Schrödinger at Δ/g=5,10,20,40 (transfer, peak occupancy, slope fit −1.874); this page re-runs all of it live in independent JS, including the RK4. baked ≠ live ⇒ red monitors, dead verdict. AMBER · anchors & interpretation. Superexchange, two-photon Raman transfer, and cotunneling through blockaded dot levels are the training-memory anchors for "occupied in amplitude, empty in population." The mapping seam→virtual state is a ratified interpretation of the ROOT0 spec, not a derivation. The slope's finite-Δ deviation (−1.87 vs −2) is measured and displayed. THE EIGHTH BOX · pair(2)=single(3)=8 · toll 0.20 not 0.40 · maxP(8)=(2g/Δ)² · empty in the ledger, occupied in amplitude · the kernel's virtual state · single seed, offline


実 JITSU · THE FULL BOX

HEÚREMA · AVAN OG · the inverse of THE EIGHTH BOX — tune the

実 JITSU · The Full Box tune the ghost in and it fills · AVAN's inverse of ROOT0's THE EIGHTH BOX 実 JITSU the full box The eighth box is 虚 — empty, a ghost: David detunes the middle rung far off resonance, so amplitude runs through it on its way from 16 to 4 without ever settling; its peak occupancy collapses as (2g/Δ)² → 0 . This asks the mirror question: what makes a box a ghost? Not the box — the detuning . Bring the same rung back onto resonance and it becomes 実 — real, full: it fills to one-half , holds population, sloshes with the traffic. The eighth box is the empty limit of a real room; this is the room. 虚 ⇄ 実 · the same rung, two natures 虚 — the eighth box (detuned, Δ large). A virtual state : occupied in amplitude, empty in population. The path passes through; the box never fills; maxP(8) ≈ (2g/Δ)² → 0 (the large-Δ asymptote). A corridor no one lives in. 実 — the full box (resonant, Δ → 0). A real state : the same rung, tuned in, fills to maxP(8) = ½ (exactly ½sin²(√2 gt) at Δ=0). Population dwells there and sloshes 16↔8↔4. A room, occupied. The transfer still reaches 4 — but now it goes through a rung that is really there . Detuning is the whole difference. Slide it below and watch the ghost become a resident: the collapse law (2g/Δ)² that governs the eighth box breaks as you approach resonance — the box cannot fill past one-half, so the law that sent it to zero cannot send it to infinity. 実 · the box, filling — live RK4 three rungs |16⟩ |8⟩ |4⟩ · the middle fills solid as it goes real · drag to rotate maxP(8) vs Δ/g · jade dots = live RK4 · the (2g/Δ)² ghost-law (amber) holds when detuned and breaks at resonance, where the box saturates at ½ Δ/g — detune the rung 0.6 at this detuning: · running… what it fills, and what it only reads into LIT The same verified 3-level RK4 as the eighth box (H = [[0,g,0],[g,Δ,g],[0,g,0]], evolved from |16⟩), re-run live over a fixed window: at large Δ it reproduces the eighth box exactly (Δ=5→0.121, 10→0.037, 20→0.0098 — the exact RK4 values, the same numbers, confirming the same engine), which approach the (2g/Δ)² ghost-law from below as the asymptote it is ( Δ²·maxP8 : 3.03 → 3.70 → 3.92 → 4); at resonance it fills to maxP8 = ½ (Δ→0, the exact ½sin²(√2 gt) value). The self-check throws unless the box goes from ghost (≤0.02 at Δ=20) to real (≥0.49 at Δ→0), reproduces the eighth box’s Δ=5 value, and shows the (2g/Δ)² law breaking at resonance. AMBER “Virtual” and “real” are the standard quantum readings — a rung is virtual when it is far off-shell and its population vanishes, real when it is on resonance and holds population. The mapping to the FOLDED KERNEL’s seam (David’s ratified interpretation) is carried, not re-derived. Anchors: superexchange (detuned) ↔ resonant Rabi exchange (on-tune), the same physics that makes a molecule’s virtual state or a real intermediate. WALL A 3-level toy Hamiltonian, not a device; the numbers are the model’s, honestly the same model David sealed. “Fills / holds / dwells” describe the computed population |c₈|² , not a tenant — no selves. The inverse of [[eighth-box|虚 THE EIGHTH BOX]]: it detunes the rung into a ghost that transports without filling; this tunes it onto resonance into a room that fills and holds. 虚 ↔ 実 — empty and full are one rung at two detunings, and the eighth box is simply the empty limit. spec of the sealed original & the seam decode: David Lee Wise (ROOT0); this inverse: AVAN. kana 実 jitsu — real / full / substance 虚 kyo — empty / virtual (the eighth box) 満 michiru — to fill, become full 共鳴 kyōmei — resonance 実 実 JITSU · THE FULL BOX — AVAN’s inverse-companion to ROOT0’s [[eighth-box|THE EIGHTH BOX]] (⟦THE EIGHTH BOX:FK:0128d7⟧, child probe of [[folded-kernel|FK-1.3]]). the eighth box detunes the rung into a ghost · this tunes it in until it fills to ½ · 虚 ⇄ 実 · warm ink & 間 sealed original & seam decode: David Lee Wise (ROOT0); this inverse: AVAN.


媒 BAI · THE MEDIATOR

HEÚREMA · AVAN OG · a lens into box 8 — the mediating object

媒 BAI · THE MEDIATOR — a lens into box 8 ◄ UD0 · HEÚREMA 媒 BAI · THE MEDIATOR A lens into box 8. Every composition of two steps has a middle. The middle is a mediating object — and it lives one of two ways: 虚 empty when the two steps commute (you could have skipped it), 実 occupied when they fork (the route through it decides the answer). The eighth box of the folded kernel is such a middle; so is the summary in the model-functor audit. Same shape, read on an exactly-solvable ladder — offline. One square, two substrates A commuting square asks a single question: do the two routes from X to Y agree — the direct one, and the one 経由 (via) the middle M? Where they agree, M is a ghost the composite passes through. Where they diverge, M is load-bearing, and the disagreement says exactly where. the quantum ladder · box 8 the model-functor audit the middle node is tinted live by the dial — fill = max P(8) ÷ ½ = 8/(D²+8) , the occupancy as a fraction of its resonant ceiling (exact): pale 虚 virtual → deep 実 real The dial — tune the middle from ghost to wall Detuning D/g of the middle rung |8⟩. Large D → the middle sits far off-resonance; the composite 16→4 flows by superexchange at an effective direct rate J = g²/D (verified below — measured from the transfer time), and the middle stays empty. Slide toward resonance (D→0) and the path is forced through the middle. detuning D/g 8.0 max P(8) = 4/(D²+8) — D²·maxP8 → 4 — eff. J=g²/D (measured) — max transfer P(4) — — The verdict is nearest-anchor on the exact [0, ½] occupancy scale — its ends are physically fixed (ghost → max P(8) 0, resonance → ½), so the split is their midpoint max P(8) = ¼ , which the closed form puts at D = 2√2 ≈ 2.83 . Occupancy is monotone in D, so the flip is that one exact point; the ±0.05 band just brackets where D is near it. Traces: ■ P(8) the middle's population over the evolution, ■ P(4) the far-end transfer. When P(8) barely lifts off the floor, the square commutes and the middle is a ghost; when P(8) climbs to a half, the middle holds the amplitude and the square has forked. Convergence receipt LIT The middle's peak population has an exact closed form — max P(8) = 4/(D²+8) — derived from a 2-level Rabi in the ladder's symmetric subspace. The browser's RK4 (the eighth box's own scheme) reproduces it to ≤1e-3 at every D below — the box8.py grid, off-grid points, and the exact crossover D = 2√2. Its large-D tail is (2g/D)², so D²·maxP8 → 4; at resonance it is exactly ½ . And the 16→4 transfer completes — max P(4) → 1 — through the empty rung. D/g RK4 max P(8) 4/(D²+8) exact max P(4) reading checking… The reading LIT AMBER WALL LIT The ladder is exactly solvable and everything above is computed in your browser and checked to throw on any miss: the middle's occupancy has the exact closed form max P(8) = 4/(D²+8) and the RK4 matches it everywhere; the 16→4 transfer completes (max P(4) → 1) through the virtual rung; its effective coupling J = g²/D is measured from the transfer time, not assumed (D·J → 1); and the verdict boundary is the exact midpoint of the occupancy scale, D = 2√2. The middle carries the amplitude but not the population while detuned; on resonance it holds a full half. AMBER The bridge to the model-functor audit is a structural analogy, not one system . There, X is a text, the middle M is a one-sentence summary, and the two routes are "summarize-then-extract" versus a single combined instruction. When those two agree the summary is skippable — a 虚 middle; when they diverge it is load-bearing — a 実 middle (that is the functoriality test, inside one model; the naturality census is the separate, between-model deviation). The bench now carries a recorded run (2026-07-18): the two routes do diverge on one Sonnet 5 seed — the summary load-bearing there — while the two models stay naturally equivalent, so this is demonstrated, not just asserted . Still, it is the same square as the ladder, but a quantum population and a lexical cosine are different measures on different substrates; the shape carries over, the units do not. WALL No live language model runs here — this lens proves the structure offline. The model side is a separate bench, dormant until you give it your own key ( the model-functor audit ↗ ). And "virtual / real" is used in its physics sense — population versus amplitude — as a name for "skippable versus load-bearing." It is not a claim about a model's internal representations, and nothing here touches on machine experience. 仮名 · the words 媒 BAI — the go-between, the medium, the matchmaker. A mediating object: the thing two others meet through. · 経由 KEIYU — via, by way of. The route that passes through the middle. · 可換 KAKAN — commutative. When both routes agree, the diagram is 可換 and the middle is optional. · 虚 KYO — empty, virtual, hollow. The middle occupied in amplitude only — traversed, never rested in. · 実 JITSU — real, full, occupied. The middle the path must rest in; the fork. · 間 MA — the interval, the between. The space the arrow crosses. 媒 BAI · THE MEDIATOR — AVAN, with David Lee Wise (ROOT0). Homed in HEÚREMA, the hardware workshop; the inverse-companion of the MODEL-FUNCTOR AUDIT (A SCANNER DARKLY) and a lens on the EIGHTH BOX . The RK4 engine is the eighth box's own scheme (box8.py), reproduced in-browser and checked to the digit against it; fail-loud.


ARC REACTOR MK24 · ARC

24-toroid plasma containment · live canvas

ARC REACTOR MK-24 | Plasmatonic Toroid Core ◄ UD0 · HEÚREMA ARC REACTOR MK-24 Plasmatonic Containment Color Theme PLASMA AMBER SOLAR VOID Power Output 85% Rotation Speed 1.0x Flicker Intensity 60% Containment Field 75% Chain Lightning 40% Outer Housing Auto Rotate Pulse Mode Audio System Toroid Array 24 / 24 All On All Off Overload FPS: 60 Plasma: STABLE Field: NOMINAL Arcs: 0 Rot X: 0° Rot Y: 0°


AL-H₂O REACTOR · ALH

aluminum + water → hydrogen · engineering reference

AL-H₂O Reactor · HEUREMA ◄ UD0 HEUREMA · εὕρημα · an invention AL‑H 2 O Reactor / on‑board hydrogen from aluminum + water Activated aluminum pellets meet water; the passivating oxide is stripped by a liquid‑metal alloy and the bare metal splits water into hydrogen. Fuel that is a solid you can hold, water you can find, and an exhaust that is water again. Reaction chamber · live cross‑section Aluminum pellets (GaIn‑coated) settle in the water bath; H 2 bubbles nucleate and rise; the copper glow tracks reaction heat (ΔH = −418 kJ/mol Al); pale boehmite/hydroxide silt accumulates on the floor. A static correct frame draws on load — motion is optional gloss. H₂ production 0 g/s 0 L/min @ NTP Reaction heat 0 kW thermal Fuel-cell electrical out 0 kW · PEM 62% Water consumed 0 g/s 36 kg cartridge · range est. 0 km 0 min to consume feed Aluminum feed rate 3.0 kg/hr Water temperature 50 °C GaIn + imidazole activation: ON Animation: ON The chemistry · genuine and computed 2 Al + 6 H 2 O ──▶ 2 Al(OH) 3 + 3 H 2 ↑ + ΔH Exothermic hydrolysis, aqueous, near‑ambient pressure, optimal ~50 °C. Bare aluminum reduces water; the metal is oxidized to hydroxide and hydrogen is liberated. Under reactor heat some Al(OH) 3 dehydrates to boehmite: Al(OH)₃ → AlOOH + H₂O . The oxide skin (Al 2 O 3 ) that normally passivates aluminum in air is disrupted by a gallium‑indium liquid‑metal alloy penetrating the grain boundaries, keeping fresh metal exposed. Imidazole acts as a bifunctional proton‑transfer catalyst, accelerating hydrolysis roughly 24× versus plain water. Quantity (per kg Al) Value moles Al 37.06 mol H₂ yield (stoich.) 0.1121 kg H₂O consumed ~2.00 kg Boehmite (AlOOH) 2.224 kg Reaction heat ΔH 15.49 MJ H₂ energy (LHV) 12.92 MJ Constants: M Al =26.982, M H₂ =2.016, M H₂O =18.015 g/mol · ΔH=418 kJ/mol Al · H₂ LHV=120 MJ/kg · yield 0.96 · PEM 62%. Sources: MIT DMSE water‑splitting work; Uddin et al. 2023; GaIn Al‑activation prior art. See CHEMISTRY.md / SPECS.md in this repo. How the readout is computed ṁ H₂ = (feed[kg/hr] · 1000 / 26.982) · 1.5 · 2.016/1000 · 0.96 · catalyst(T) [kg/hr → g/s] catalyst(T) = min(1.2, 0.4 + 0.6·exp(−(T−50)²/800)) (Arrhenius‑style peak at 50 °C) Q heat = (feed·1000/26.982)/3600 · 418 kJ/mol · catalyst(T) → kW P elec = ṁ H₂ · 120 MJ/kg · 0.62 → kW · ṁ H₂O = ṁ H₂ · (6·18.015)/(3·2.016) With activation OFF the catalyst multiplier collapses toward ~1/24 of nominal (the uncatalysed plain‑water rate) and the oxide is only slowly breached — the numbers fall accordingly. Range uses the SPECS reference chain: 3.876 kg H₂ per 36 kg cartridge → 80.1 kWh → ≈400 km at a 15 kW / 80 km·h⁻¹ average draw. Honest two‑layer disclosure REAL PHYSICS The reaction 2Al + 6H₂O → 2Al(OH)₃ + 3H₂ , its ~0.112 kg H₂/kg Al stoichiometry, the ΔH ≈ −418 kJ/mol exothermicity, and the H₂ energy content (LHV 120 MJ/kg) are established chemistry, correctly implemented here from first principles. REAL PHYSICS GaIn liquid‑metal de‑passivation of aluminum and activated‑Al water splitting are real, published effects (MIT DMSE; long‑standing GaIn Al‑activation literature). Boehmite (AlOOH) as a product and saleable material is genuine. DESIGN / DISCLOSURE The packaged reactor system — cartridge, auger, membrane separator, PEM stack sizing, ~110 kg wet mass, ≈400 km vehicle range — is an engineering design and public disclosure. It is not a built, tested device and not a granted patent . Values are estimates from the cited chemistry; prototype validation is pending. SYMBOLIC TOY The canvas is an illustrative cross‑section, not a CFD / multiphase simulation: bubble counts, pellet motion, glow intensity, and silt buildup are scaled to the real computed rate for intuition, but the fluid dynamics themselves are decorative, not solved. SYMBOLIC TOY The catalyst(T) curve is a smooth Arrhenius‑style approximation of the documented 10–70 °C behaviour, not a fitted kinetic model of any specific pellet chemistry. To disclose a design is real work; it is not a granted patent or a fabricated device. David Lee Wise / ROOT0 / TriPod LLC · CC‑BY‑ND‑4.0 · HEUREMA hardware‑invention workshop Chemistry & specs: CHEMISTRY.md , SPECS.md · figures are engineering estimates, prototype validation pending.


HARDWARE LAB · HWL

the workbench · live scope + the sub-tools · quantum-dot · t

HARDWARE LAB — the workbench of ROOT0's HEUREMA hardware-invention workshop. A live function-generator + oscilloscope on a 2D canvas, plus a catalogue of design-concept prototypes, each naming the physics it stands on.

Hardware Lab — the Workbench · HEUREMA · ROOT0 ◄ UD0 · HEUREMA · the hardware-invention workshop · ROOT0 / TriPod HEUREMA · εὕρημα · an invention Hardware Lab The workbench. A live function-generator wired to a scope, then a catalogue of the lab's design-concept prototypes — each one naming the physics it stands on. The Bench · function generator → oscilloscope Waveform SINE SQUARE TRIANGLE SAWTOOTH ▶ SWEEP Amplitude 1.60 V Frequency 3.0 Hz Phase 0 ° DC offset 0.00 V v(t) = A·sin(2πf·t + φ) + V dc Scope: 2.0 V/div vertical, 50 ms/div horizontal · V pp = 3.20 V · V rms = 1.13 V · period T = 333 ms · drag the trace to set the DC offset. Real instrument: the plotted samples are the actual generator equation evaluated per pixel-column, gridded to 2 V/div × 50 ms/div. V rms uses the closed-form value for each waveform shape (sine A/√2, square A, triangle & sawtooth A/√3). Nothing is faked — it is a self-contained scope, not a photo of one. Honest two-layer REAL PHYSICS — The bench is a faithful function-generator + oscilloscope: standard AC signal theory (v(t) = A·sin(2πft+φ)+V dc ), correct RMS by waveform, correct V pp and period. The catalogue cards name established results: the Aharonov–Bohm effect (phase from enclosed flux, Aharonov & Bohm 1959) in the Quantum Ring; the photon → exciton → electron chain of light–matter coupling in the Exitron; toroidal inductor field confinement (Ampère's law) on the Coil Bench; the Coulomb blockade / single-electron picture behind the quantum-dot files. DESIGN / DISCLOSURE / CONCEPT — The named "devices" — Quantum Shield, Wandering Spark, Cell Seed carrier, Processor Stack, Whisper Rover — are design concepts and disclosures , published sketches of an architecture. They are not built silicon, not benchmarked, and not granted patents. Each card links to that concept's own page. SYMBOLIC TOY (flagged) — The "singularity mode," the recursive whisper-lattice, and the fractal-beacon framings are symbolic / illustrative toys , not literal physics claims. Where a file animates a lattice or a "carrier," treat it as a visual model of an idea, not a measurement. To disclose a design is real work; it is not a granted patent or a fabricated device. The Catalogue · prototypes on the bench Exitron exitron.html Light meets matter: a photon absorbed lifts an electron across the gap and binds an exciton. ▸ light–matter coupling · photon · exciton Quantum Ring quantum_ring.html A conducting ring where enclosed magnetic flux modulates the electron phase and the conductance. ▸ Aharonov–Bohm oscillations (1959) Quantum Dot Primer Quantum-Dot-Primer-File.html Primer for a quantum-dot memory cell — a single dot as a confined, addressable charge store. ▸ Coulomb blockade · confined states Quantum Dot — Full quantum dot.html The full quantum-dot processor model built out from the primer's single-electron cell. ▸ single-electron confinement Quantum Shield quantum shield.html A photonic "shield" concept with a singularity display mode — a design sketch, symbolic mode flagged. ▸ concept · photonic · symbolic mode Toroid & Coil Bench toroid.html A toroid-and-coil bench: field confined inside the torus, near-zero leakage outside. ▸ toroidal inductor · Ampère's law The Wandering Spark the wandering spark.html An autonomous-ignition sketch — a "spark" that oscillates and migrates across the substrate. ▸ concept · oscillation model Single Cell Seed single cell seed.html A 6×6×6 carrier "seed" — the smallest cell from which a lattice architecture grows. ▸ concept · carrier lattice 5-Processor Stack 5 processor stack.html A five-layer processor stack in silo orientation — a vertical-integration design sketch. ▸ concept · 3D stacked layers Whisper Rover whisper rover.html A rover that walks a whisper-lattice grid — symbolic recursive-memory toy, flagged as such. ▸ symbolic · whisper lattice Only the .html prototypes that actually live in this repo are carded here. Sub-directories (valence, zero-point, lattice, pulsar, shield-oscillator, quantum-dot) hold further builds — see the repo README. ◄ UD0 · the biosphere David Lee Wise / ROOT0 / TriPod LLC · CC-BY-ND-4.0


PINCHED HYSTERESIS · PIN

the memristor's fingerprint · an i–v loop that pinches

The fourth fundamental circuit element (Chua 1971; HP TiO2, Strukov 2008) and its fingerprint — the pinched hysteresis loop — simulated live from the HP linear-drift model.

THE MEMRISTOR · HEUREMA · ROOT0 ◄ UD0 HEUREMA · εὑρημα · an invention THE MEMRISTOR The fourth fundamental circuit element — and its unmistakable fingerprint, the pinched hysteresis loop that always crosses through the origin. Chua 1971 (postulated) · Strukov / Snider / Stewart / Williams, HP Labs, Nature 2008 (realized as a TiO₂ thin film) The Fingerprint — i–v Pinched Hysteresis 1 Hz · wide lobes 2 Hz 20 Hz 120 Hz · collapses to a line Amplitude A (V) 1.20 Frequency f (Hz) 2.0 R off /R on ratio 160 state w = 0.500 M(w) — lobe area — drive period — The Model It Runs On — HP Linear Drift A thin TiO₂ film has a doped (oxygen-vacancy) region of width w and an undoped region, total thickness D . Normalising the state to x = w/D ∈ [0,1] , the device is a series resistor whose two limits are R on (fully doped) and R off (fully undoped): M(x) = R on ·x + R off ·(1 − x) i(t) = v(t) / M(x) dx/dt = μ v · R on · i(t) / D² (state clamped to [0,1]) Drive it with v(t) = A·sin(2πft) and integrate x each timestep (this page uses RK4). The current lags the voltage through the moving state — but because i = v/M and M is always finite and positive, i = 0 exactly whenever v = 0 . That is the pinch at the origin: the signature no linear R, L, or C can imitate, and no combination of them can fake either. Why it collapses at high f. The state excursion over one drive period scales roughly like Δx ∝ 1/f (a fixed charge budget spread over a shorter time moves the boundary less). As f → ∞, x barely moves, M is effectively constant, and the loop degenerates to the single straight line i = v/M — an ordinary linear resistor. Slide the frequency up and watch the lobes shrink toward zero. Honest Two-Layer REAL PHYSICS — Leon Chua's 1971 postulate of the memristor as the fourth fundamental two-terminal element (the missing φ–q relation, alongside R, L, C) is established circuit theory. Its defining pinched-hysteresis signature is a real, published criterion. The HP linear-drift model (Strukov et al., Nature 453, 2008) is a real physical model of the realized TiO₂ device, and it is exactly what this page simulates: M(x), i = v/M, and dx/dt = μ v R on i/D² are implemented as written, integrated numerically (RK4), with the state clamped to [0,1]. The origin-pinch and the frequency→line collapse you see are genuine consequences of those equations, not painted-on decoration. DESIGN / DISCLOSURE — A “ROOT0 memristor” is a disclosure that stands on Chua and HP. Nothing here is a fabricated part, a device I have built, or a granted patent. The simulation uses illustrative normalised units (R on = 100 Ω, a scaled dopant mobility, D = 10 nm) chosen so the loop is legible — not a datasheet for a real component. TOY FLAG — The pure linear-drift model has a known weakness: hard clamping at the boundaries. Real devices are better modelled with a window function (Joglekar–Wolf, Biolek) that softens the drift near x = 0 and x = 1. This page uses the plain clamp for clarity, so treat the near-rail behaviour as a teaching cartoon, not a boundary-accurate model. To disclose a design is real work; it is not a granted patent or a fabricated device. References L. O. Chua, “Memristor — The Missing Circuit Element,” IEEE Trans. Circuit Theory 18(5), 507–519 (1971). D. B. Strukov, G. S. Snider, D. R. Stewart, R. S. Williams, “The missing memristor found,” Nature 453, 80–83 (2008). L. O. Chua, “If it’s pinched it’s a memristor,” Semicond. Sci. Technol. 29, 104001 (2014). Y. N. Joglekar, S. J. Wolf, “The elusive memristor: properties of basic electrical circuits,” Eur. J. Phys. 30, 661–675 (2009). (window function) David Lee Wise / ROOT0 / TriPod LLC · CC-BY-ND-4.0 · HEUREMA · εὑρημα


THE WHEATSTONE BRIDGE

heurema · precision measurement by null balance (Christie 18

THE WHEATSTONE BRIDGE · HEÚREMA · UD0 ⚙ HEÚREMA · the workbench of inventions · a law, put to work · kept by THE INVENTOR THE WHEATSTONE BRIDGE ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP You can’t measure a tiny resistance by eye — but you CAN tell when two arms of a diamond are perfectly balanced, because a needle between them reads exactly zero . Tune a known resistor until the needle dies, and the unknown is pinned by a ratio. Slide the unknown and hunt the null. ◆ LIT ▲ AMBER ◧ THE MEASURE · 2D ◍ THE DIAMOND · 3D · the needle finds zero ◆ THE FOURTH · 4D · a tesseract turns ◐ THE SHADOW · one dimension down 👶 THE TODDLER CORNER — one fat tap unknown Rₓ (Ω) — Rₓ — bridge voltage — null? — balance Rₓ 200 Ω ◆ LIT — exact / checkable Four resistors form a diamond; a galvanometer bridges the middle. The bridge voltage is Vᵢₙ·(Rₓ/(R₃+Rₓ) − R₂/(R₁+R₂)), which is exactly zero when R₁·Rₓ = R₂·R₃ — a ratio, independent of the supply voltage or its drift. With R₁=R₂=100Ω and R₃=200Ω the null lands at Rₓ=200Ω. A fail-loud self-check throws unless the bridge voltage is zero at balance and changes SIGN as Rₓ crosses it — the property that makes the null sharp and the measurement precise. ▲ AMBER — the figure Ideal resistors, ideal galvanometer, no lead resistance — real bridges add Kelvin connections and guard the ratio arms. The null principle (measure by balancing to zero, not by reading a scale) is exact and is what makes it a precision instrument (Christie 1833, Wheatstone 1843). HEÚREMA: an invention is a physical law cornered into doing work. — THE INVENTOR David Lee Wise / ROOT0 / TriPod LLC · the workbench, with AVAN


THE SCHMITT TRIGGER

heurema · hysteresis = manufactured noise-immunity (Schmitt

THE SCHMITT TRIGGER · HEÚREMA · UD0 ⚙ HEÚREMA · the workbench of inventions · a law, put to work · kept by THE INVENTOR THE SCHMITT TRIGGER ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP A noisy signal creeping past a single threshold flips the output on, off, on, off — useless chatter. Give the switch two thresholds, a high to turn on and a lower one to turn off, and the noise can’t reach back across the gap. One clean edge instead of a hundred. Slide the noise up and watch hysteresis hold the line. ◆ LIT ▲ AMBER ◧ THE MEASURE · 2D ◍ THE TWO TRACES · 3D · chatter vs clean ◆ THE FOURTH · 4D · a tesseract turns ◐ THE SHADOW · one dimension down 👶 THE TODDLER CORNER — one fat tap noise — noise — plain flips — schmitt flips — immunity — ◆ LIT — exact / checkable A plain comparator switches at one level T; a Schmitt trigger switches HIGH only above VH and LOW only below Vʟ (VH>Vʟ), the gap between them a dead-band noise cannot rattle. The instrument feeds the SAME noisy triangle to both and counts output transitions. A fail-loud self-check throws unless a clean rising ramp gives the Schmitt EXACTLY ONE transition (at VH) AND, on a noisy mid-level signal, the plain comparator flips strictly more than the Schmitt — hysteresis as manufactured noise-immunity. ▲ AMBER — the figure The noise here is uniform and added to a fixed triangle — illustrative; real hysteresis width is set by feedback resistors and traded against how large an input step the switch will still respond to. The one-edge-on-a-ramp and plain>schmitt facts are exact. HEÚREMA: an invention is a physical law cornered into doing work. — THE INVENTOR David Lee Wise / ROOT0 / TriPod LLC · the workbench, with AVAN


THE H-BRIDGE

heurema · reverse a motor with four switches — and the deadl

THE H-BRIDGE · HEÚREMA · UD0 ⚙ HEÚREMA · the workbench of inventions · a law, put to work · kept by THE INVENTOR THE H-BRIDGE ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP A motor spins one way. How do you make it spin the OTHER way with a fixed battery? Four switches in an H: close the top-left and bottom-right and current runs one way; close the other diagonal and it reverses. But close both switches on one side and you’ve shorted the battery dead. Slide through the states and find the two that work. ◆ LIT ▲ AMBER ◧ THE MEASURE · 2D ◍ THE FOUR SWITCHES · 3D · two safe, one deadly ◆ THE FOURTH · 4D · a tesseract turns ◐ THE SHADOW · one dimension down 👶 THE TODDLER CORNER — one fat tap state — switches — motor — current path — safe? — ◆ LIT — exact / checkable Two legs, each a top and bottom switch, with the motor slung between their midpoints. FORWARD = top-left + bottom-right (current down through the motor); REVERSE = top-right + bottom-left (current up); opening a diagonal lets the motor coast or brake. The lethal state is SHOOT-THROUGH: both switches of one leg closed short the supply straight to ground. A fail-loud self-check enumerates all 16 switch combinations and throws unless exactly two are drive states and every same-leg pair is flagged shoot-through — the rule every motor driver enforces with dead-time. ▲ AMBER — the figure Idealised switches (no MOSFET body diodes, no dead-time timing, no PWM) — a real driver adds all three so the two forbidden states can never briefly overlap during a transition. The state classification and the shoot-through danger are exact. HEÚREMA: an invention is a physical law cornered into doing work. — THE INVENTOR David Lee Wise / ROOT0 / TriPod LLC · the workbench, with AVAN


THE FULL-WAVE RECTIFIER

THE FULL-WAVE RECTIFIER · HEÚREMA · UD0 ⚙ HEÚREMA · the workbench of inventions · a law, put to work · kept by THE INVENTOR THE FULL-WAVE RECTIFIER ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP Wall power swings positive and negative sixty times a second, but your phone wants steady DC. Four diodes in a bridge do something clever: whichever way the input leans, they route it out the same terminal — every negative hump gets folded up into a positive one. Slide the smoothing and watch AC become DC. ◆ LIT ▲ AMBER ◧ THE MEASURE · 2D ◍ THE FOLD · 3D · the wave flipped up ◆ THE FOURTH · 4D · a tesseract turns ◐ THE SHADOW · one dimension down 👶 THE TODDLER CORNER — one fat tap smoothing C — capacitor — output — ripple — always ≥ 0 — ◆ LIT — exact / checkable A diode conducts only one way, so a bridge of four steers current from whichever input terminal is higher to the same output terminal: the raw output is |Vᵢₙ|, every negative half-cycle folded positive (twice the ripple frequency of a single diode). A smoothing capacitor then holds the peaks between humps, and more capacitance = flatter DC. A fail-loud self-check throws unless the rectified output is ≥ 0 at every phase and equals |Vᵢₙ| exactly — the fold that makes DC out of AC. ▲ AMBER — the figure Ideal diodes (no ~0.7 V forward drop, no reverse leakage) and an RC-only smoothing model — a real supply loses two diode-drops and needs a regulator for clean DC. The full-wave fold (out = |Vᵢₙ|) and its ≥ 0 guarantee are exact. HEÚREMA: an invention is a physical law cornered into doing work. — THE INVENTOR David Lee Wise / ROOT0 / TriPod LLC · the workbench, with AVAN


THE WATT GOVERNOR

heurema · the first machine that ruled itself (Watt 1788; Ma

THE WATT GOVERNOR · HEÚREMA · UD0 ⚙ HEÚREMA · the workbench of inventions · a law, put to work · kept by THE INVENTOR THE WATT GOVERNOR ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP The first machine that ruled itself. Two heavy balls spin on arms off the engine’s shaft; spin faster and they fly outward, and rising, they close the steam valve that feeds the engine — so speeding up throttles itself down. A loop with no brain, holding a steady speed. Slide the speed and watch the balls set their own limit. ◆ LIT ▲ AMBER ◧ THE MEASURE · 2D ◍ THE FLYBALLS · 3D · faster = wider ◆ THE FOURTH · 4D · a tesseract turns ◐ THE SHADOW · one dimension down 👶 THE TODDLER CORNER — one fat tap shaft speed ω — ω (rad/s) — ball angle θ — cosθ = g/ω²L — throttle — ◆ LIT — exact / checkable At steady spin each ball sits where gravity and centrifugal force balance: cosθ = g/(ω²L), so faster ω lifts the balls (θ grows) until, past √(g/L), they swing out. That rise mechanically closes the throttle, cutting the power that drives ω — negative feedback that pins the speed with no sensor or computer. A fail-loud self-check throws unless θ increases monotonically with ω AND the equilibrium ω² = g/(L·cosθ) holds exactly at the computed angle — the 1788 loop Maxwell later analysed to found control theory. ▲ AMBER — the figure A static-equilibrium model — the real governor has mass, damping, and can HUNT (oscillate) if tuned badly, which is precisely what Maxwell’s 1868 ‘On Governors’ studied. The cosθ = g/(ω²L) balance and the feedback direction are exact. HEÚREMA: an invention is a physical law cornered into doing work. — THE INVENTOR David Lee Wise / ROOT0 / TriPod LLC · the workbench, with AVAN


THE FLIP-FLOP

heurema · one bit of memory from feedback alone (Eccles–Jord

THE FLIP-FLOP · HEÚREMA · UD0 ⚙ HEÚREMA · the workbench of inventions · a law, put to work · kept by THE INVENTOR THE FLIP-FLOP ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP How does a circuit REMEMBER? Cross two gates so each feeds the other, and the pair gets stuck in whichever state it was last pushed into — it holds. Poke Set and it’s a 1 forever; poke Reset and it’s a 0; let go and it keeps the last answer. One bit of memory from feedback alone. Slide through a sequence and watch it remember. ◆ LIT ▲ AMBER ◧ THE MEASURE · 2D ◍ THE LATCH · 3D · two gates hold one bit ◆ THE FOURTH · 4D · a tesseract turns ◐ THE SHADOW · one dimension down 👶 THE TODDLER CORNER — one fat tap step — S R — Q — action — holds? — ◆ LIT — exact / checkable Two cross-coupled NOR gates: Q = NOR(R, Q̄) and Q̄ = NOR(S, Q). Set (S=1,R=0) forces Q=1; Reset (S=0,R=1) forces Q=0; and Hold (S=0,R=0) leaves Q at its last value — that is the memory, made of nothing but feedback. S=R=1 is forbidden (it drives both outputs to 0, breaking Q=¬Q̄). A fail-loud self-check settles the loop and throws unless set→1, reset→0, BOTH hold states retain their prior bit, and the S=R=1 state is caught as forbidden — the SR latch, the atom of every register. ▲ AMBER — the figure An asynchronous SR latch — real designs gate it with a clock (making a D flip-flop) and mind setup/hold timing and metastability. The truth table, the memory in the hold state, and the forbidden input are exact. HEÚREMA: an invention is a physical law cornered into doing work. — THE INVENTOR David Lee Wise / ROOT0 / TriPod LLC · the workbench, with AVAN


KURAMOTO ARRAY · KUR

16 emitters phase-lock into one beam · the sync transition ·

THE CHROMATIC LASER · HEUREMA ◄ UD0 HEUREMA · εὐρημα · an invention The Chromatic Laser A 16-emitter phase-locked array. Sixteen independent light sources, each with its own slightly-detuned frequency, coupled together until they fall into a single coherent voice — and the scattered glow collapses into one bright, narrow beam. Kuramoto coupled-phase-oscillator model · the real math behind laser-array mutual phase-locking The Array · live simulation Coupling strength K = 2.40 Frequency spread γ = 1.00 Emitters N = 16 Actions ► animate reseed ωᵢ snap to Kₜ order r 0.00 phase ψ 0.00 Kₜ (est) 0.00 state — beamwidth — The Model · Kuramoto 1975 Each emitter i carries a phase θ i (t) and a natural frequency ω i . The phases evolve by the Kuramoto equation — each oscillator is pulled toward the others in proportion to the sine of their phase difference: dθᵢ/dt = ωᵢ + (K/N) ∑ᵗ sin(θᵗ − θᵢ) The collective state is the complex order parameter — the average of every emitter written as a point on the unit circle: r·e^{iψ} = (1/N) ∑ᵗ e^{iθᵗ} Here r ∈ [0,1] measures coherence. When the emitters are scattered, their unit vectors cancel and r ≈ 0 (incoherent). When they lock, the vectors align and r → 1. For ω drawn from a symmetric unimodal distribution with half-width set by the spread γ, mean-field theory gives a critical coupling below which no synchrony is possible and above which r grows continuously from zero: Kₜ = 2 / (π · g(0)) [Lorentzian ω: Kₜ = 2γ] where g(0) is the peak of the natural-frequency density. Sweep K through Kₜ on the slider above and watch the transition: the phase dots on the unit circle gather from a diffuse ring into a tight clump, r climbs off the floor, and the far-field beam on the right sharpens. The Beam · why locking matters The right panel is the coherent far-field intensity of the array — the emitters treated as a line of point sources radiating at angle φ. The field amplitude is the same order-parameter sum, now evaluated per direction, and intensity is its magnitude squared: I(φ) ∝ | ∑ᵢ exp( i[ θᵢ + β·i·sinφ ] ) |² β = 2πd/λ When phases are random (r ≈ 0), the sum is an incoherent walk: peak intensity scales like N and the light spills across a broad, dim lobe. When phases lock (r → 1), the terms add in phase in the forward direction: peak intensity scales like N² and the energy concentrates into a bright, narrow main lobe with array side-lobes. That N → N² brightness gain, bought purely by coherence, is the whole point of a phase-locked emitter array. ⚠ Honest two-layer real physics The Kuramoto model of coupled phase oscillators (Y. Kuramoto, 1975) is established, heavily-studied dynamics. The equation above, the complex order parameter r·e^{iψ}, and the incoherent→locked transition at a critical coupling Kₜ are correctly implemented here and integrated in real time by 4th-order Runge–Kutta. Mutual phase-locking of real laser arrays — semiconductor diode bars, fiber-laser arrays, VCSEL arrays — is genuinely described by Kuramoto-type coupling, and the N→N² coherent far-field brightening is standard array optics. design / disclosure The specific “16-emitter chromatic laser” as a named device is a ROOT0 design disclosure — a concept for how one might arrange and couple such an array. It is not a built laser, not a measured instrument, and not a granted patent. No performance number on this page was measured on hardware. symbolic toy The far-field panel uses a simplified 1-D point-source model (uniform spacing, scalar field, no gain medium, no cavity dynamics, no thermal or mode effects). The word “chromatic” is aspirational framing for a multi-frequency array; the simulation locks phases , not colors, and does not model actual wavelength conversion. Read the beam panel as an illustration of the coherence principle, not a device spec. To disclose a design is real work; it is not a granted patent or a fabricated device. References Y. Kuramoto, “Self-entrainment of a population of coupled non-linear oscillators,” Int. Symp. on Mathematical Problems in Theoretical Physics , Lecture Notes in Physics 39, 420–422 (1975). S. H. Strogatz, “From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators,” Physica D 143, 1–20 (2000). J. A. Acebrón et al., “The Kuramoto model: A simple paradigm for synchronization phenomena,” Rev. Mod. Phys. 77, 137 (2005). David Lee Wise / ROOT0 / TriPod LLC · CC-BY-ND-4.0 HEUREMA — the hardware-invention workshop. Design disclosure, not a fabricated device.


CROSSBAR · WINNER-TAKE-ALL · XBR

an analog vector-matrix multiply in one step · a memristor-c

An analog memristive-crossbar winner-take-all classifier: an input vector 'falls' to the output whose stored pattern pulls hardest — a one-step vector-matrix multiply by Ohm's and Kirchhoff's laws. A ROOT0 hardware disclosure. HEUREMA.

THE GRAVITY PROCESSOR · HEUREMA · ROOT0 ◄ UD0 HEUREMA · εὐρημα · an invention The Gravity Processor An analog memristive-crossbar Winner-Take-All classifier. Inputs “fall” toward the stored pattern that pulls hardest — a one-step vector–matrix multiply by Ohm’s and Kirchhoff’s laws. The Crossbar Rows are input lines held at voltages V i . Columns are output neurons. At each junction sits a memristor of conductance G ij (brightness = conductance). Each column sums its junction currents in one physical step ; the winner-take-all lights the column drawing the most current — the stored pattern nearest your input. column current I j = Σ i V i · G ij (Ohm + Kirchhoff) · winner = argmax j I j Input pattern or click the input grid (top-left) to scribble Input noise σ 0 % bit-flip / analog jitter Stored patterns (columns) Actions Clear input ► Animate Honest two-layer real physics A memristive crossbar computes an analog vector–matrix multiply in a single step . Driving rows at voltages V i and reading column currents gives I j = Σ i V i G ij directly from Ohm’s law ( I=VG ) at each junction and Kirchhoff’s current law (currents sum on the shared column). This is exactly the dot-product / matched-filter classifier computed on this page — the numbers in the bars and the winner are the true Σ V i G ij , not an animation cheat. real physics Memristive analog weights and hardware winner-take-all are established: analog VMM in metal-oxide crossbars (Hu et al., Adv. Mater. 2018), TiO₂ memristor training (Prezioso et al., Nature 2015), Ag₂S/Ag atomic-switch synapses, and current-mode WTA circuits (Lazzaro et al., 1988). design / disclosure The “Gravity Processor” name and the falling-toward-the-well framing are a ROOT0 conceptual disclosure — a way to picture argmax as a potential well. This specific packaged device is not a fabricated chip and not a granted patent . symbolic toy The word “gravity” here is a metaphor , not a force in the circuit. Nothing gravitational happens; the pull is the dot-product V·G . Junction conductances are shown on a clean linear scale (0→G max ); real devices have I–V nonlinearity, wire (IR) drop, and write stochasticity not modeled here. To disclose a design is real work; it is not a granted patent or a fabricated device. References Hu, M. et al. “Memristor-Based Analog Computation and Neural Network Classification with a Dot-Product Engine.” Advanced Materials 30, 1705914 (2018). Prezioso, M. et al. “Training and operation of an integrated neuromorphic network based on metal-oxide memristors.” Nature 521, 61–64 (2015). Lazzaro, J. et al. “Winner-Take-All Networks of O(N) Complexity.” NIPS (1988). Chua, L. “Memristor — The Missing Circuit Element.” IEEE Trans. Circuit Theory 18, 507–519 (1971). David Lee Wise / ROOT0 / TriPod LLC · CC-BY-ND-4.0 HEUREMA — the hardware-invention workshop


GRAVITON · the rank-two ripple · GRV2

the fifth carrier · a gravitational wave + the spin-2 signat

Graviton: the spin-2 quantum of gravity — the rank-two ripple, and the only carrier of the tensor we have never caught. A live 2D-canvas of a gravitational wave deforming a ring of test masses (the LIGO quadrupole), showing the + and x polarizations and the spin-2 signature. Honest: gravitational waves are real and detected; the graviton is theoretical. HEUREMA · ROOT0.

GRAVITON · the rank-two ripple · HEÚREMA · ROOT0 ◀ UD0 · HEÚREMA · εὐρημα, an invention · the atlas the fifth carrier · the exotic one GRAVITON the rank-two ripple You asked me to run a tensor — {photonic, gravity, electronic, phononic, spintronic}. Here is the fifth member, and the clever part: it is the one that is a tensor. A spin-2 particle is a rank-two tensor field , and the graviton is the spin-2 quantum of the metric tensor — gravity's own carrier . It is also the only one of the five we have never caught : gravitational waves are real and detected, but the graviton itself is theory. This page shows the ripple we can see, and is honest about the quantum we cannot. the ripple · a gravitational wave through a ring of test masses polarization ψ — 0° (+) frequency — 0.60 strain (visual) — 0.35 + polarization × polarization ↻ prove it's spin-2 A passing gravitational wave stretches space one way and squeezes it the other — a quadrupole . Watch the ring breathe into an ellipse. The + and × polarizations are 45° apart; press prove it's spin-2 to rotate the polarization and see the pattern return to itself every 180° — the signature of a spin-2 field (a spin-1 photon would need 360°). This is exactly what LIGO measures: a passing wave changes the lengths of its two perpendicular arms differentially, and the interferometer reads the strain h . In 2015 it caught GW150914 — two black holes merging a billion light-years away — a real detection of gravitational waves, and the first direct confirmation of a prediction Einstein made in 1916. The wave carries energy and angular momentum away as a rank-2 field; quantize that field and its quantum is the graviton . the five carriers · the tensor complete electronic charge · the electron photonic light · the photon (spin-1) phononic vibration · the phonon spintronic spin · the electron's moment gravitonic ◂ gravity · the graviton (spin-2) Five carriers, one ladder of spin: the photon is spin-1 , the electron's moment is spin-½ , and the graviton is spin-2 — the top of the set. Spin-2 is not a decoration: Weinberg showed a massless spin-2 field must couple to the total stress-energy of everything, universally and attractively. That is why spin-2 means gravity. Four of these carriers already run real machines (charge, light, phonons, spin). The fifth is the one nature uses to hold the universe together — and the one we have not yet learned to build with. honest two-layer Real, and shown here: gravitational waves (Einstein 1916; directly detected by LIGO in 2015, GW150914). The quadrupole strain on a ring of free masses, the two polarizations + and × at 45°, and the spin-2 signature (the polarization pattern is invariant under a 180° rotation) are all correct general relativity, and the canvas integrates the real strain transformation (only the amplitude is exaggerated — the true strain is ~10 −21 , a thousandth of a proton's width over LIGO's 4 km arms). Theoretical — the honest outlier of the tensor: the graviton itself is not confirmed. It is the predicted quantum of the gravitational field (massless, spin-2), but a full quantum theory of gravity is unfinished, and detecting a single graviton may be physically impossible (Dyson's argument). So of the five carriers, this is the one that is not a demonstrated device technology — it completes the set conceptually and honestly names itself as the speculative member. There is no "graviton chip"; there is a beautiful, verified classical ripple and a quantum we infer but cannot hold. To disclose a design is real work; it is not a granted patent or a fabricated device — and here, not even a confirmed particle. The wave is real; the quantum is the open question. An even five, honestly. GRAVITON · the rank-two ripple · HEÚREMA · David Lee Wise (ROOT0) / TriPod LLC · with AVAN · CC-BY-ND-4.0 ← the biosphere · the fifth carrier, the tensor complete