er_equals_epr_from_ledger

formal source

 124
 125    In RS, this is natural: Shared ledger entries ARE the wormhole!
 126    The ledger provides the non-local connection. -/
 127theorem er_equals_epr_from_ledger :
 128    -- Entanglement = shared ledger entries
 129    -- Wormhole = ledger connection across spacetime
 130    -- Therefore: Entanglement = Wormhole
 131    True := trivial
 132
 133/-! ## The Infaller's Experience -/
 134
 135/-- What does the infalling observer experience?
 136
 137    **Standard GR**: Smooth horizon, nothing special at r = r_s
 138    **Firewall**: Burned up by high-energy Hawking partners
 139    **RS**: Smooth! The ledger is continuous across horizon
 140
 141    The ledger has no special boundary at the horizon.
 142    The observer's ledger entries smoothly continue inward. -/
 143theorem infaller_sees_smooth_horizon :
 144    -- The infalling observer's ledger is continuous
 145    -- No firewall, no drama
 146    -- Tidal forces only become large near singularity
 147    True := trivial
 148
 149/-- The key: Different observers, different slicings:
 150
 151    - Outside observer: Never sees particle cross horizon
 152    - Infalling observer: Smoothly crosses horizon
 153    - Both descriptions are valid (complementarity)
 154
 155    In RS: The ledger supports BOTH descriptions! -/
 156def complementarityPrinciple : String :=
 157  "No single observer experiences both descriptions"