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This paper aims to explore the relationships between entropy, time, and accumulated cost within the framework of admissible dynamics.

April 25, 2026Open Access

APF Paper 3 Technical Supplement — Entropy, Time, and Accumulated Cost

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Technical supplement reveals principles of entropy and time dynamics in admissibility physics, suggesting new theoretical frameworks.

This paper aims to explore the relationships between entropy, time, and accumulated cost within the framework of admissible dynamics.
Derivation of the directed-enforcement multiplier κ = 2 from principles of irreversibility and locality.
Kraus-form evolution expressed in relation to existing infrastructural frameworks.
Formal proof techniques applied across eight sections with various theoretical constructs.
Identified von Neumann entropy as a measure of committed capacity, anchored to strong-subadditivity principles.
Demonstrated structural consequences of Lirr linking the second law and the arrow of time.
Elevated the Admissibility-Capacity Ledger to a first-class object with six regime projections and confirmed four consistency identities.

Ethan Brooke (2026) studied this question.

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