Manuscript Hawk02-E@1 · Hawk02-E.tex · section · 4841592b

Introduction and contribution

Introduction and contribution · lines 165–202

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The relevant question is not whether an engineered source can transfer a quantum register to a reservoir. It is whether one independently specified microscopic evolution supports all of the following:

These are separate obligations, and their validity intervals must overlap.

The supplied Cheung manuscripts maintain the distinctions necessary for this question. Hawk01-B separates entropy histories from complete code preservation. Hawk02-A separates a recovery certificate from a microscopic gravitational transfer law. Hawk02-C and Hawk02-D provide autonomous benchmarks without identifying their sources with black holes CheungHawk01B,CheungHawk02A,CheungHawk02C,CheungHawk02D. Hawk03-A distinguishes an algebra encoded in radiation from an additional independent interior factor CheungHawk03A. The operational manuscripts distinguish observable readout, subsystem recovery, coherent collection, decoder execution, and complete-record error accounting CheungEn02B,CheungEn02C,CheungEn02E,CheungEm03C.

The present contribution advances the microscopic interface beyond the quadratic benchmark: the source Hamiltonian is an interacting quartic SYK Hamiltonian. The reservoir approximation is proved for its actual unitary dilation, including all logical coherences and the complete residual. The construction does not turn a quadratic survival formula into an interacting recovery estimate.

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