0root · Sapphon Prime

Primitive 01 / 05

Anti-stropic Sync / Author-Provenance Residual. Append-only descendant primitive. The gate protects a local branch, compresses opposed transport into a residual, and never treats a dead branch as a dead system.

Gate

..||..|i{why::ok::yes::no::mark dead::start new {{-1,0,+1}}4

local guard

4 ternary positions

append new

mark dead terminates only the rejected branch. Committed lineage is not overwritten.

Anti-stropic sync

(x-3, y+2) :: (x+2, y-3)
(-3 + 2, +2 - 3) = (-1, -1)

x = compressed time coordinate. y = author / provenance coordinate.

R* = (-1_time, -1_provenance, AuthorID, H_path)

Same compressed state ≠ same provenance unless the bound provenance commitment also agrees.

Me → me carrier

.|.| -+ |.|.
1 2 1 2 -1 +1 1 2 1 2

[1212] [-+] [REF 1212]

box carries → toroid turns → box reconstructs

The center resolves -1 + 1 = 0 while the traversed path remains nonzero. Unchanged state may be referenced rather than regenerated.

Protector rule

inspect -> decide locally -> kill only bad path -> append fresh path

Task creation is not a global transport barrier. A local stop pauses only its dependency branch unless explicitly promoted to a commit gate.

Boundary

This primitive defines software/symbolic transport, compression, provenance and branch-control semantics. Physics language remains model-local unless separately supported by empirical evidence.

← 0root hallway

Frozen test · Fold Conservation v01

-+-00K00+-+
///// K \\\\\\
00112358

0e / PASS · 10/10

Verified: exact fold/unfold round-trip, all 11 cyclic/toroidal rotations realign to the pinned K seed, 88 exhaustive single-symbol FLAY mutations isolate exactly, and 100,000 deterministic multi-field corruption trials produced 0 undetected corruptions.

Frozen ZIP SHA-256: da16ad3dfca4cd2a1eac894fa71ed21f416d193ab573e0a8149f1124fd262404