Universal Law of Descent (LUDC): A Physical Bound on Combinatorial Entropy Reduction — Extending the Universal Stability Law

The Universal Law of Descent (LUDC) establishes a physical bound on the rate of entropy reduction in computational and self-organizing systems: **Equation:** −dS/dt ≤ κ · C(t) · P(t) where C(t) represents structural conductance and P(t) operational power.Extending the Universal Stability Law (USL), the LUDC unifies informational geometry, stochastic thermodynamics, and computational complexity, providing a measurable physical constraint on the ordering rate of systems — from combinatorial algorithms (SAT, TSP) to dynamical models (machine learning, sandpile automata). Simulations across domains show less than 5% deviation from the theoretical bound, suggesting that entropy reduction — and thus computational efficiency — is limited by universal energetic constraints. This work bridges the physics of information and the foundations of complexity theory, offering an experimentally testable perspective on the P vs NP problem.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-21
DOI
https://doi.org/10.5281/zenodo.18326355
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
article
Field-Weighted Citation Impact
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article

Universal Law of Descent (LUDC): A Physical Bound on Combinatorial Entropy Reduction — Extending the Universal Stability Law

Jonatan Muñoz Rodriguez
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
article

Universal Law of Descent (LUDC): A Physical Bound on Combinatorial Entropy Reduction — Extending the Universal Stability Law

Jonatan Muñoz Rodriguez
article en

Abstract

The Universal Law of Descent (LUDC) establishes a physical bound on the rate of entropy reduction in computational and self-organizing systems: **Equation:** −dS/dt ≤ κ · C(t) · P(t) where C(t) represents structural conductance and P(t) operational power.Extending the Universal Stability Law (USL), the LUDC unifies informational geometry, stochastic thermodynamics, and computational complexity, providing a measurable physical constraint on the ordering rate of systems — from combinatorial algorithms (SAT, TSP) to dynamical models (machine learning, sandpile automata). Simulations across domains show less than 5% deviation from the theoretical bound, suggesting that entropy reduction — and thus computational efficiency — is limited by universal energetic constraints. This work bridges the physics of information and the foundations of complexity theory, offering an experimentally testable perspective on the P vs NP problem.

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Thermodynamics and Statistical Mechanics
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