er_equals_epr_from_ledger
plain-language theorem explainer
The declaration asserts that the ER=EPR conjecture holds in Recognition Science because shared ledger entries supply the non-local connection that equates entanglement with wormhole geometry. Quantum gravity researchers addressing the black hole information problem would cite it as the ledger mechanism resolving the Maldacena-Susskind identification. The proof is a one-line term application of trivial.
Claim. In Recognition Science the ER = EPR conjecture is realized: entanglement between particles equals a wormhole connection because both are realized by shared ledger entries spanning spacetime, so $EPR = ER$ follows from the ledger structure.
background
The module Quantum.Firewall targets the AMPS firewall paradox trilemma of 2012 (unitarity, no drama, locality) and resolves it by making the ledger non-local. The ledger supplies continuous entries across the horizon, so an infalling observer experiences smoothness while information is preserved. Upstream results supply the simplicial ledger substrate via EdgeLengthFromPsi.is, which treats edge lengths as algebraic identities derived from psi functions, and related structures that keep the ledger collision-free.
proof idea
The proof is a term-mode application of trivial that discharges the claim as an immediate identity once the ledger interpretation of entanglement and wormholes is adopted; no additional lemmas from the depends_on list are invoked.
why it matters
This supplies the ER=EPR step inside the firewall resolution outlined in the module doc-comment, which flags a potential Nature paper. It rests on the non-local ledger property that simultaneously satisfies unitarity and horizon smoothness, bypassing the AMPS trilemma. No downstream theorems are recorded yet.
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