predictions
plain-language theorem explainer
Recognition Science encodes five predictions for black hole thermodynamics in a single list. These cover area-proportional entropy, mass-inversely-proportional temperature, information conservation, firewall-free horizons, and tau-zero corrections. A quantum gravity theorist would cite the list when aligning RS ledger arguments with holographic bounds. The definition assembles the items directly from the module's entropy and temperature derivations.
Claim. Recognition Science predicts that black hole entropy satisfies $S = k_B A / (4 l_P^2)$, temperature follows $T = hbar c^3 / (8 pi G M k_B)$, information is preserved in radiation, horizons remain smooth, and corrections appear at the tau_0 scale.
background
The Quantum.BekensteinHawking module derives black hole thermodynamics by equating horizon area to ledger information capacity under Recognition Science. Upstream results include the phi-powered scale function from Cosmology.LargeScaleStructureFromRS and smoothness conditions from Cost.AczelProof and Cost.AczelTheorem that ensure continuous ledger behavior at the horizon. Sibling declarations supply Planck units, Schwarzschild radius, and the bekensteinHawkingEntropy formula that feed the listed items.
proof idea
This is a direct definition that enumerates the five predictions as a list of strings. It draws on the entropy proportionality and temperature scaling established in sibling declarations together with the upstream scale and smooth lemmas to ground each entry.
why it matters
The declaration collects the observable consequences of the RS derivation of Bekenstein-Hawking entropy and Hawking temperature for the module's QG-001 and QG-002 targets. It supports the proposed PRL paper on black hole thermodynamics from information theory. In the framework it connects ledger conservation to the holographic principle and phi-ladder scales, providing a compact interface for empirical checks.
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