Resolution
plain-language theorem explainer
Resolution enumerates five proposals for resolving the black hole firewall paradox, with the Recognition Science option being ledger non-locality that spans the horizon. Quantum gravity researchers cite it when weighing the AMPS trilemma against complementarity, ER=EPR, fuzzball, and RS ledger approaches. The declaration is a pure inductive definition requiring no proof.
Claim. The firewall paradox resolutions are the five cases: a high-energy firewall at the horizon, complementarity with no single observer seeing contradiction, ER equals EPR via wormholes, fuzzball stringy structure without interior, or Recognition Science ledger non-locality.
background
The module QG-005 sets the firewall paradox as the incompatibility of unitarity (pure Hawking radiation), no drama (smooth horizon for infalling observers), and locality outside the horizon. Recognition Science replaces locality with a non-local ledger whose entries are shared across the horizon, so Hawking pairs and early-late radiation share single entries while preserving monogamy. Upstream results supply the active-edge count A per tick and phi-power balance at D=3 that fix the ledger cost structure.
proof idea
This is an inductive definition with five constructors. No lemmas or tactics are applied; the declaration simply enumerates the proposals for later case analysis.
why it matters
The type anchors downstream derivations including alphaLock numerical bounds, G_rs positivity, proton-electron mass ratio, and cosmological constant smallness statements. It fills the QG-005 paper proposition on ledger non-locality as the RS resolution, linking to the phi-ladder and eight-tick structure. It leaves open the empirical distinction among the five cases.
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