rsPredictions
plain-language theorem explainer
RS black hole predictions assert that the Page curve holds, no firewall forms at the horizon, and the final evaporation state is pure. Quantum gravity and information theorists working in the Recognition Science ledger framework cite this when verifying unitarity preservation. The definition directly populates the three Boolean fields of the BlackHolePredictions record.
Claim. The Recognition Science predictions for black hole information are given by the record with pageCurve = true (information returns via Hawking radiation), hasFirewall = false (no horizon firewall), and finalPure = true (final state after evaporation is unitary).
background
The module resolves the black hole information paradox by treating all events as ledger entries that remain preserved under compression at the horizon and decompression via Hawking radiation. The ledger is fundamental, black holes compress entries without erasure, and correlations in the radiation maintain unitarity. Upstream structures such as LedgerFactorization.of and PhiForcingDerived.of supply the J-cost and factorization basis for this preservation mechanism.
proof idea
The definition is a direct record constructor that assigns pageCurve := true, hasFirewall := false, and finalPure := true, matching the three assertions documented in the BlackHolePredictions structure.
why it matters
This definition supplies the concrete predictions referenced by the rsPredictions declarations in Cosmology.DarkEnergy, Cosmology.Inflation, and Information.QuantumErrorCorrection. It implements the QG-003 ledger-resolution step outlined in the module documentation, which notes a potential PRL paper on black hole unitarity from ledger preservation. The construction closes the unitarity requirement within the eight-tick and holographic framework.
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