Chronoscalar Thermodynamics: Certainty, Irreversibility, and Measurement

Abstract

We formulate a thermodynamic theory in which physical reality is ordered by a fundamentally asymmetric scalar time field. Chronoscalar Field Theory (CFT) replaces the notion of instantaneous physical states with a geometric ordering principle governed by a monotone scalar field T(xμ). We show that irreversibility, entropy production, causal influence, and the emergence of definite outcomes require finite chronoscalar support and cannot occur at an instant. This leads to a No–Instant Theorem, a non-commutation between laboratory-time limits and irreversible physics, and a reformulation of measurement as a finite locking process rather than an instantaneous projection. Landauer bounds are rederived in chronoscalar time, yielding geometric energy-cost and rate constraints controlled by admissible transport corridors. The framework predicts orientation-dependent outcome-formation rates fixed in laboratory coordinates, providing a falsifiable signature absent from standard quantum mechanics. Certainty emerges as a thermodynamic achievement of finite chronoscalar evolution.

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