What question did this study set out to answer?

The central aim is to establish a framework that defines physical evolution as fundamentally irreversible.

February 19, 2026Open Access

Anti-ID: The Principle of Fundamental Irreversibility and the Structural Impossibility of Perfect Saturation

Puntos clave

The central aim is to establish a framework that defines physical evolution as fundamentally irreversible.
Developed the Anti-ID Principle as a mathematical framework.
Separated operational theorems from their ontological interpretations.
Proved rigorous theorems in canonical semigroup classes including Markov and Lindblad.
Provided explicit Lyapunov functionals to support findings.
Established measure-theoretic genericity results.
Demonstrated that perfect saturation (ID) is structurally unstable and represents a boundary of measure zero.
Unified concepts of quantum uncertainty, thermodynamic irreversibility, and chaotic dynamics under one framework.
Showed that the principle of irreversibility is not an approximation but a fundamental necessity.

Resumen

We present a rigorous mathematical framework establishing that physical evolution fundamentally operates as an irreversible semigroup. The Anti-ID Principle proves that simultaneous saturation of all structural inequality bounds denoted ID (Inequality of Inequalities) is dynamically non-robust under minimal causality assumptions. Through careful separation of operational theorems from ontological interpretation, we demonstrate that this framework uni es quantum uncertainty (Robertson-Schrödinger), thermodynamic irreversibility (entropy production), information-theoretic monotonicity (Data Processing Inequality), and chaotic dynamics (Lyapunov/Pesin). We provide explicit Lyapunov functionals, prove rigorous theorems in canonical semigroup classes (Markov/Lindblad), and establish measure-theoretic genericity results. The theory positions irreversibility not as emergent approximation but as structural necessity, with perfection (ID) representing an unstable boundary of measure zero.

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Cite This Study

Vinícius Ramos Rodrigues (Mon,) studied this question.

synapsesocial.com/papers/6996a82decb39a600b3ee999 https://doi.org/https://doi.org/10.5281/zenodo.18659722

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