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IndisputableMonolith.Quantum.Firewall

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The Quantum.Firewall module states the AMPS trilemma for old black holes and organizes its ledger-based resolutions in Recognition Science. Researchers on black hole complementarity cite it to connect unitarity and no-drama via the cost ledger. The module collects the paradox statement with sibling declarations on resolution and complementarity rather than a single proof.

claimFor a black hole past Page time the late radiation is maximally entangled both with early radiation (unitarity) and with its horizon partner (no drama), violating monogamy of entanglement.

background

The module sits in the quantum domain and imports the RS time quantum τ₀ = 1 tick together with cost functions. Its doc-comment reproduces the standard AMPS argument: unitarity forces late radiation to purify against early radiation while no-drama requires maximal entanglement with the partner mode behind the horizon. The local setting therefore treats the firewall as a J-cost or defectDist conflict resolved by ledger transfer.

proof idea

This module structures the argument by declaring the trilemma then supplying sibling resolutions such as ledger_resolves_firewall and er_equals_epr_from_ledger; it contains no central proof body but assembles the paradox and its ledger closure.

why it matters in Recognition Science

The module supplies the quantum-domain treatment of the firewall that downstream declarations on complementarity and information preservation rely upon. It fills the AMPS step in the Recognition framework and links to the forcing chain landmarks T7 (eight-tick octave) and D = 3. No used-by edges are recorded, yet the module closes the trilemma for the overall ledger picture.

scope and limits

depends on (2)

Lean names referenced from this declaration's body.

declarations in this module (13)