Research-Stack/0-Core-Formalism/lean
Brandon Schneider 8145aff0fe feat(physics): RG manifold seams — continuous flow replaces discrete Menger
Key correction to the model:
  Old: Menger iterations n = 128 from v/M_Pl coincidence
  New: RG flow from SM beta functions, continuous, ~3 effective iterations

The n=128 was (20/27)^128 = v/M_Pl — numerically correct but not a
derivation. The SM beta function gives the correct suppression through
continuous running: beta(lam) = -0.02466 at the EW scale, flowing lam
from 0.1291 to 0 at the vacuum instability scale (~10^8.7 GeV, 1-loop).

Seams in the coupling manifold:
  1. lam = 0 at ~10^8.7 GeV — vacuum instability (manifold terminates)
  2. lam_fixed = 0.304 — would-be RG fixed point (not reached in SM)
  3. lam < lam_fixed → flows to 0 (this IS the void: system empties)

The Menger sponge remains as a pedagogical visualization, but the Lean
theorems are now about the SM beta function, not about (20/27)^n.
2026-05-13 21:08:49 -05:00
..
external/OTOM Refactor provenance sources for open witness backends 2026-05-12 05:57:04 -05:00
LeanGPT initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Semantics feat(physics): RG manifold seams — continuous flow replaces discrete Menger 2026-05-13 21:08:49 -05:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00