standardInflation

formal source

 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
 130    1. At t = 0 (Big Bang), the ledger initializes
 131    2. The 8-tick phase is set globally (not locally)
 132    3. All subsequent events inherit this synchronization
 133    4. Temperature/density uniformity follows from phase coherence -/
 134def synchronization_mechanism : List String := [
 135  "Ledger initialization sets global 8-tick phase",