`ic003_certificate`

definition

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module: IndisputableMonolith.Information.ChurchTuringPhysicsStructure
domain: Information
line: 171 · github
papers citing: none yet

open explainer

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open lean source

IndisputableMonolith.Information.ChurchTuringPhysicsStructure on GitHub at line 171.

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explainer page

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open explainer

depends on

formal source

 168
 169/-! ## Summary Certificate -/
 170
 171def ic003_certificate : String :=
 172  "═══════════════════════════════════════════════════════════\n" ++
 173  "  IC-003: CHURCH-TURING PHYSICS — STATUS: DERIVED\n" ++
 174  "═══════════════════════════════════════════════════════════\n" ++
 175  "✓ phase_space_finite:          |Phase| = 8\n" ++
 176  "✓ phase_functions_finite:      |Phase→Phase| = 8^8\n" ++
 177  "✓ ledger_state_space_finite:   |DiscreteLedger| = 2^8\n" ++
 178  "✓ church_turing_physics:       Irrational φ (structural constraint)\n" ++
 179  "✓ phase_space_bounded:         phases ≤ 8 per tick\n" ++
 180  "✓ tick_rate_bounded:           τ₀ > 0 (no infinite rate)\n" ++
 181  "✓ computation_takes_time:      n steps ≥ n τ₀\n" ++
 182  "✓ finite_function_computable:  finite functions = lookup tables\n" ++
 183  "✓ eight_tick_step_computable:  step function = table\n" ++
 184  "✓ rs_dynamics_beyond_rational: exact φ not Turing-computable\n" ++
 185  "✓ rs_dynamics_approximable:    approx φ is Turing-computable\n"
 186
 187end ChurchTuringPhysicsStructure
 188end Information
 189end IndisputableMonolith

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