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Research-Stack/0-Core-Formalism
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Brandon Schneider d29b5c7419 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
..
core initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
lean feat(physics): RG manifold seams — continuous flow replaces discrete Menger 2026-05-13 21:08:49 -05:00
otom collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
receipts docs: add bio optical witness living light equations 2026-05-09 20:53:51 -05:00
rust/ftdi_gimbal initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00

README.md

0-Core-Formalism

Purpose: Formal foundations for the entire Research Stack — Lean modules, bind primitive, Triumvirate consensus, core source.

No external dependencies. All other layers depend on this.

Contents (Target)

Source Destination
0-Core-Formalism/lean/Semantics/ 0-Core-Formalism/lean/Semantics/
core/ 0-Core-Formalism/core/

Concepts

  • bind — State → (State → Action) → State
  • TriumvirateClock — ternary consensus (ADD/PAUSE/SUBTRACT)
  • Builder/Judge/Warden — roles mapped to hardware registers
  • OTOM — Ordered Transformation & Orchestration Model

Build

cd "0-Core-Formalism"
lake build