def
definition
def or abbrev
planck_scale_matching_report
show as:
view Lean formalization →
formal statement (Lean)
305def planck_scale_matching_report : String :=
proof body
Definition body.
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