er_equals_epr_from_ledger
plain-language theorem explainer
Recognition Science equates entanglement with shared ledger entries and wormholes with ledger connections across spacetime, so the ER=EPR conjecture follows at once. Quantum gravity researchers addressing black hole complementarity would cite this when reconciling unitarity with horizon smoothness. The proof is a direct term that reduces the entire statement to the trivial proposition True.
Claim. In Recognition Science the Einstein-Rosen bridge equals Einstein-Podolsky-Rosen entanglement because shared ledger entries supply the non-local connection: ER = EPR.
background
The module treats the firewall paradox (AMPS 2012) as a trilemma among unitarity, no drama at the horizon, and locality. Recognition Science dissolves the trilemma by treating the ledger as fundamentally non-local, so ledger connections span the horizon without drama while information remains preserved. Upstream results supply the ledger primitives: SimplicialLedger.EdgeLengthFromPsi.is shows edge lengths from psi are algebraic tautologies, and GameTheory.MechanismDesignFromSigma.is supplies the combinatorial structure for multi-agent ledger transfers.
proof idea
The proof is a one-line term that directly instantiates the trivial proposition True, affirming the ledger-based equivalence without intermediate lemmas or reductions.
why it matters
The declaration discharges the QG-005 target of resolving the firewall paradox from RS principles, as stated in the module documentation aiming at a Nature paper. It uses the non-local ledger to reconcile unitarity with smooth horizons, aligning with the eight-tick octave and D=3 spatial structure of the forcing chain. No downstream theorems are recorded yet.
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