← BCODR-LUC: the bidirectional circular-overlap method applied to root 6217 / BCODR-LUC-02 · Atomic cut and structural recomposition

BCODR-LUC: the bidirectional circular-overlap method applied to root 6217 BCODR-LUC-02 · Atomic cut and structural recomposition Neo.K / Aletheia

Atomic Cut and Structural Recomposition: the First Cut, Separation and Recomposition of the Root-6217 Bidirectional Information Field — From Coarse Arrival Cells to a Seven-Class Bidirectional Interaction Spine

Cuts the 9 selected frontier parents (131, 166, 167, 164, 165, 127, 101, 104, 103) into 288 children; each child is classed BOTH, PLUS_ONLY, MINUS_ONLY or UNREACHED by which fields reach it (9, 4, 187, 88, so only 3.125% are bidirectional), and a strict recomposition rule compresses them back to 17 structural classes, 7 of them BOTH classes. After the cut, root 131's coarse box contact has no BOTH child and is renamed a "coarse bicontact container" rather than a common-overlap nexus; root 127 is recorded as the bidirectional corridor with the highest refinement persistence, its provenance flipping from 144 to 155. The paper stresses that this compresses the 9 selected frontier parents, not the whole 195-root space down to 7 responsibilities.

On the 9 selected frontier parents, 288 children are strictly recomposed into 17 classes, 7 of them bidirectional interaction classes; the paper says plainly that this is not "the whole 195-root space reduced to 7 responsibilities". Layer two (RUN-064) reproduced the cut, all 288 signatures, the 17 classes and the seven BOTH classes, the second cut's counts and the records; not as stated is the provenance "flip" at 127 — it is 1/8 from 144 and from 155 alike, a tie — and 127 as a thick, provenance-switching corridor: at its parent's radius a BOTH child is just one that holds a point where the later field first touches the parent. The 17 classes also need corner contacts and the parent's ρ class. The package's verifier was re-run here and passes (it only checks the ledger's own counts).

Connections · Connections

Layer twoRUN-064 · 懸衡's recompute: the cut and the 17 classes reproduce; the provenance "flip" at 127 is a tie (NOT AS STATED · PASS)
PreviousBCODR-LUC-01 · The bidirectional arrival-time field · Bidirectional Kernel Closure of the Root-6217 Shape Space: the First Arrival-Time Information Field from the Analytic Critical Ray and the A_ref Certificate Boundary
NextBCODR-LUC-03 · True common-point overlap · True Common-Point Overlap and Provenance Resolution: the True Intersection Time of the Root-6217 Bidirectional Kernel Fields, the Container-Separation Gap, and the Low-Dimensional Overlap Germ of Root 127

This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

Loading…