Boundary as Clock: Time as Unified Translation Operator of Phase--Spectral Shift--Modular Flow
Boundary as Clock: Time as Unified Translation Operator of Phase--Spectral Shift--Modular Flow
Against background of general C^\ast-algebras and operator scattering theory, construct framework of ``time = boundary translation.'' Time not viewed as pre-given flow parameter in bulk domain but defined as unique translation scale generated by boundary spectral data, maintaining self-consistency among phase--spectral shift--modular flow triple readings. Specifically: First, in scattering systems satisfying Birman--Krein conditions, take total scattering phase \Phi(\omega)=\arg\det S(\omega), s
- National University of Singapore Singapore
General Relativity, Modular Flow, Unified Time Scale, Information Theory, Boundary Time Geometry, Wigner-Smith Time Delay, Causal Structure, QNEC, Quantum Scattering, Generalized Entropy, Spectral Shift Function, Time Geometry
General Relativity, Modular Flow, Unified Time Scale, Information Theory, Boundary Time Geometry, Wigner-Smith Time Delay, Causal Structure, QNEC, Quantum Scattering, Generalized Entropy, Spectral Shift Function, Time Geometry
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