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Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/Physics
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Brandon Schneider a810127239 feat(math): adjacent coprime classification for second-order recurrences 
Formalize theorem: for a_{n+1} = c_1*a_n + c_2*a_{n-1}:

  gcd(a_n, a_{n+1}) = 1  for all n >= 1
  iff
  gcd(a_1, a_2) = gcd(a_2, c_2) = gcd(c_1, c_2) = 1

Key identity: gcd(a_n, a_{n+1}) = gcd(a_n, c_2*a_{n-1})
Invariant core: gcd(a_n, a_{n+1}) = gcd(a_n, c_2) when prev coprime

5 distinct recurrences, 30 native_decide theorems verified.
Maps directly to: state flow + gate + hidden history channel + leakage failure.
2026-05-13 20:38:03 -05:00
..
AdjacentCoprimeClassification.lean feat(math): adjacent coprime classification for second-order recurrences 2026-05-13 20:38:03 -05:00
BindPhysics.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
BindPhysics_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Boundary.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Boundary_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Conservation.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Conservation_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
DESIInvariant.lean feat(physics): DESI invariant and 16D horn-fiber model projection 2026-05-13 20:21:18 -05:00
DESIModelProjection.lean feat(physics): DESI invariant and 16D horn-fiber model projection 2026-05-13 20:21:18 -05:00
Examples.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Examples_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Interaction.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Interaction_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
NBody.lean Consolidate research stack updates 2026-05-05 21:09:48 -05:00
NBody_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ParticleDomain.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ParticleDomain_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Projection.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Projection_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
QCLEnergy.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
QCLEnergy_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
StringStarConstants.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Tests.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Tests_metadata.json initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
UniversalBridge.lean chore: preserve working tree before secure wipe 2026-05-13 17:36:02 -05:00