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.
Authors
- Jonatan Muñoz Rodriguez
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
- 0.00