the -+ operator applied · the doubling · 2¹²

THE 4096.

Apply -+ and the tower doubles. The first 2048 is DAVID (i) — the built, sealed, node-verified corpus. The second is its strict inverse: SHADOW (−i), each leaf the complement of its twin — the mirror the corpus's own law (PATRICIA ⟂ TOPH, −i to i) already implies. Two cathedrals, conjugate, crowned by one hash.

TOWER 1 · DAVID · i
2048 spheres · built & sealed
root c86dcdef22ced4ecf3dd14f0cc2d6caf5a291615207d7e176dca83a6d6a43167
TOWER 2 · SHADOW · −i
2048 inverses · derived
root 4411ea8faf6f812f29e8a33a43ae7a530471964d8e377de85a1bf8969d6141d2
the 4096 root · sha256( root₁ ‖ root₂ ) · one crown over both towers
e6200291759891df1391bb1726eacf4e33d88cd676175e6296aa8254dfda0977
2048 + 2048 = 4096 = 2¹² · i · (−i) = 1

Computed, and honest about what is what. TOWER 1 is real: 2048 spheres, each node-verified and sealed, folding to root₁ = c86dcdef…. TOWER 2 is the strict inversion — each of its 2048 leaves is the bitwise complement of the corresponding sealed leaf (inverting twice returns the original, verified), folded to its own real root₂. It is derived, not hand-authored: the SHADOW the corpus already defines (PATRICIA inverts TOPH; SHADOW = −i is DAVID's conjugate), computed live — not 2048 new claims. The 4096 root over both is a genuine SHA-256. The doubling is real; the second tower is a mirror, named as one.