← WSFC: Worm Sequence Freedom Closure / WSFC R25–R26 · Endpoint-distance strictness and the elasticity kernel

WSFC: Worm Sequence Freedom Closure WSFC R25–R26 · Endpoint-distance strictness and the elasticity kernel Neo.K / Aletheia

Endpoint-Distance Strictness Reframed and Elasticity Kernel Closure: Dual Comparative Statics, the Unit-Length Elasticity Gap, and a Computer-Assisted K > 0

R25 corrects a normalization slip (b_n = d_n* should be b_n = t_n·d_n*), proves that the breadth-one endpoint distance d_n* strictly decreases, and reduces the strict decrease of the unit-length endpoint distance b_n to an elasticity-kernel positivity condition E > 0; R26 proves a ratio lemma, reduces the problem to K = 6(−s') − s·V_dd > 0, certified by an adaptive mpmath interval audit (28,244 boxes, 0 unresolved, minimum lower bound 6.339e-4), and concludes b_{n+1} < b_n, labelled computer-assisted and conditional on G0.

Conditional on G0, the unit-length endpoint distance b_n strictly decreases; the kernel positivity is certified computer-assisted by a single interval backend (mpmath.iv). The closing boxed sentences of R26 ('b_{n+1} < b_n', 'strictly decreases to the broadworm endpoint distance') carry no qualifier; the qualification sits in §11. Replaying the shipped script here gives identical output. Formal and independent review are open; R25's correction is an openly stated self-correction.

Connections · Connections

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…