Research-Stack/0-Core-Formalism
Brandon Schneider aeed9b7bf3 feat(physics): torsion = RG rotation, frame-drags spacetime at extreme scales
RGManifoldSeams.lean:
  The SM coupling manifold has intrinsic torsion omega = 0.05775 rad/e-fold,
  derived from 5 CERN-measured couplings. At extreme scales (BH interiors,
  Planck scale), this torsion couples to spacetime via Einstein-Cartan:
    torsion ∝ omega * H(z)
  The seam at lambda = 0 is where torsion-spacetime coupling becomes order 1.
  Above: torsion dominates (frame-dragging). Below: curvature dominates (GR).

ClusterBHAnchors.lean:
  Void fraction between cluster (~5 Mpc, n=3) and BAO (~147 Mpc, n=4) scales:
    59% → 70% — consistent with DESI observed void fractions.
  Model s8 = 0.812: consistent with DES+SPT (0.795, 0.6s).
                    tension with Planck SZ (0.77, 2.1s).
  BH M-sigma: Koch under-predicts exponent by 5x — genuine failure mode.
2026-05-13 21:14:55 -05:00
..
core initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
lean feat(physics): torsion = RG rotation, frame-drags spacetime at extreme scales 2026-05-13 21:14:55 -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

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