rsSummary
plain-language theorem explainer
rsSummary enumerates five statements resolving the black hole firewall paradox via Recognition Science ledger properties. Quantum gravity researchers would cite it to outline how non-local ledger conservation satisfies the AMPS trilemma while keeping the horizon smooth. The definition assembles these points directly from the module's ledger smoothness and conservation axioms.
Claim. The list states: unitarity preserved by ledger conservation, no firewall due to ledger smoothness across the horizon, locality emerging at large scales from non-local ledger structure, ER = EPR arising from shared ledger entries, and the Page curve following from ledger-mediated entanglement transfer.
background
Recognition Science treats the ledger as a conserved, non-local structure underlying spacetime and quantum information. The module sets the local context as QG-005, where the AMPS trilemma (unitarity, no drama at the horizon, locality) is resolved because ledger connections span the horizon without discontinuity. Upstream, PrimitiveDistinction.from reduces seven axioms to four structural conditions plus definitional facts that ground the ledger's smoothness and conservation. AsteroidOreSpectroscopy.has supplies an example of phi-scaled spectral features consistent with the same ladder used for RS constants.
proof idea
The definition constructs the List String directly from the five enumerated claims. It functions as a one-line wrapper that packages the resolution points without applying further lemmas or tactics.
why it matters
This definition records the explicit outcomes of the QG-005 firewall resolution inside the Recognition Science framework. It supports the module's target of satisfying the AMPS trilemma through non-local ledger properties, matching the cited Nature paper proposition. The points align with T5 J-uniqueness and the Recognition Composition Law that enforce ledger conservation, while the emergent locality clause connects to the eight-tick octave and D = 3. No downstream theorems depend on it yet.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.