`planck_scale_matching_report`

definition

show as: view math explainer →

module: IndisputableMonolith.Constants.PlanckScaleMatching
domain: Constants
line: 305 · github
papers citing: none yet

open explainer

Read the cached plain-language explainer.

open lean source

IndisputableMonolith.Constants.PlanckScaleMatching on GitHub at line 305.

browse module

All declarations in this module, on Recognition.

explainer page

A cached Ask Recognition explainer exists for this declaration.

open explainer

depends on

formal source

 302  planck_ratio := lambda_rec_over_ell_P
 303
 304/-- Summary report for the Planck-Scale Matching derivation. -/
 305def planck_scale_matching_report : String :=
 306  "PLANCK-SCALE MATCHING (Conjecture C8)\n" ++
 307  "=====================================\n" ++
 308  "\n" ++
 309  "DERIVATION CHAIN:\n" ++
 310  "  1. J_bit = J(φ) = φ - 3/2 ≈ 0.118 [PROVED]\n" ++
 311  "  2. J_curv(λ) = 2λ² (curvature packet) [AXIOMATIZED]\n" ++
 312  "  3. Extremum: J_bit = J_curv → λ_rec [PROVED]\n" ++
 313  "  4. Face-averaging → 1/π factor [AXIOMATIZED]\n" ++
 314  "  5. λ_rec/ℓ_P = 1/√π ≈ 0.564 [PROVED]\n" ++
 315  "\n" ++
 316  "RESULT: λ_rec = √(ℏG/(πc³)) ≈ 0.564 ℓ_P\n" ++
 317  "\n" ++
 318  "STATUS: Hypothesis-level (curvature packet axiom)\n" ++
 319  "REMAINING GAP: Derive J_curv = 2λ² from Q₃ geometry"
 320
 321end PlanckScaleMatching
 322end Constants
 323end IndisputableMonolith

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.