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The aim is to clarify the time-dependent aspects of quantum theory as they relate to black-hole unitarity in Absolute Frame Theory.

June 11, 2026Open Access

Quantum Theory in the Dynamical Sector of Absolute Frame Theory: Modular Reflection Positivity and its Unification with Black-Hole Unitarity

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The aim is to clarify the time-dependent aspects of quantum theory as they relate to black-hole unitarity in Absolute Frame Theory.
Reconstructed finite-dimensional quantum theory as operational shadow of the AFT channel.
Applied Tomita-Takesaki theory and related theorems to the horizon-modular framework.
Analyzed the active-set constraint of the horizon within algebraic quantum field theory axioms.
Demonstrated that dynamical quantum-theory reconstruction and black-hole unitarity are equivalent through modular objects.
Confirmed that modular flow acts as the horizon boost and incorporates reflection positivity in the framework.
Identified remaining theoretical frontiers concerning the Planckian endpoint of evaporation and constructive limits.

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Randomized trial reveals connections between dynamical quantum reconstruction and black-hole unitarity, suggesting a unified framework.

Patricio E. Valenzuela (2026) studied this question.

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