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Research-Stack/0-Core-Formalism
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Brandon Schneider b1499de843 feat(physics): superpositional boundary layers — the universal bridge 
The smoothstep A(x) = 3x^2 - 2x^3 from UniversalBridge.lean describes
EVERY boundary layer where Newton's laws transition to a wall regime:

  Schwall (GR):   x = (R - 2GM)/(2GM),  A=0.5 at R=3GM (photon sphere)
  Qwall (QM):     x = (hbar/lambda)/p,   A=0.5 at de Broglie wavelength
  Cwall (SR):     x = v/c,               A=0.5 at v/c=0.5
  Twall (torsion): x = omega/1,          A=0.5 at omega=0.5

The superposition principle: F_eff = (1-A)*F_Newton + A*F_Wall.
This is the 16D controller principle — the boundary is a weighted
superposition of all active regimes, not a thin line.
2026-05-13 21:34:21 -05:00
..
core initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
lean feat(physics): superpositional boundary layers — the universal bridge 2026-05-13 21:34:21 -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