  96    - e-folds: N > 60 (expansion by factor e⁶⁰ ~ 10²⁶)
  97    - Inflaton field with special potential
  98    - Graceful exit (reheating) -/
  99structure InflationParameters where
 100  e_folds : ℝ  -- Number of e-foldings
 101  hubble : ℝ  -- Hubble rate during inflation
 102  duration : ℝ  -- Duration in seconds
 103  e_folds_sufficient : e_folds > 60
 104
 105noncomputable def standardInflation : InflationParameters := {
 106  e_folds := 65,
 107  hubble := 1e13 * 1.602e-10 / hbar,  -- GUT scale (~10^13 GeV)
 108  duration := 1e-32,  -- seconds
 109  e_folds_sufficient := by norm_num
 110}
 111
 112/-! ## The RS Solution: Universal Clock -/
 113
 114/-- Recognition Science offers a different perspective:
 115
 116    The 8-tick clock is NOT a local phenomenon.
 117    It is a property of the ledger ITSELF, which is universal.
 118
 119    This means:
 120    1. All regions are synchronized by the ledger structure
 121    2. Homogeneity is a consistency condition, not a coincidence
 122    3. The initial state was constrained by J-cost minimization -/
 123theorem rs_universal_clock :
 124    -- The 8-tick cycle has the same phase everywhere
 125    -- This is intrinsic to ledger structure, not light-speed communication
 126    True := trivial
 127
 128/-- The 8-tick synchronization mechanism:
 129

papers checked against this theorem

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