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January 23, 20260 citationsOpen Access

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

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JRJonatan Muñoz Rodriguez

Key Points

  • This work explores the physical boundaries governing entropy reduction in computational and self-organizing systems.
  • Developed the Universal Law of Descent (LUDC) as an extension of the Universal Stability Law (USL)
  • Unified concepts from informational geometry, stochastic thermodynamics, and computational complexity
  • Conducted simulations across various computational models and dynamical systems
  • Established a measurable bound on the rate of entropy reduction
  • Demonstrated less than 5% deviation in simulations from theoretical predictions
  • Highlighted that computational efficiency is fundamentally limited by energetic constraints

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.

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Cite This Study

Jonatan Muñoz Rodriguez (2026) studied this question.

synapsesocial.com/papers/69730f78c8125b09b0d1f4f9https://doi.org/10.5281/zenodo.18326355
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