Time Systems and the Elimination of Quantum and Thermal Irreversibility

This work proposes a unified theoretical framework in which both quantum probability and thermal irreversibility emerge as coordinate effects associated with the choice of time parametrization. By introducing the concept of intrinsic and observational time systems, physical dynamics are reformulated as fundamentally reversible when expressed in intrinsic time. Apparent probabilistic behavior in quantum mechanics and dissipative behavior in thermodynamics arise only through projection onto continuous observational time coordinates. The theory is formulated without statistical assumptions and without reliance on microscopic randomness or entropy production. Thermal energy is treated as a canonical dynamical variable, and quantum wave functions are reinterpreted as densities of deterministic transition paths rather than intrinsic probabilities. This framework resolves the long-standing tension between time-reversal invariant fundamental laws and macroscopic irreversibility, and advances Einstein’s program of describing physics without fundamental probability. The paper introduces Special and General Reversibility Theories, provides a canonical formulation, and derives observable consequences that are, in principle, experimentally testable.