The Mender Resonant System: Non-Equilibrium Coherence, Discrete Base-8 Algebra, and the Thermodynamic Necessity of Active Feedback Correction
Year: 2026
Type: preprint
Abstract: This two-volume monograph series establishes a constructive, discrete Base-8 mathematical framework to eliminate numerical rounding drift in non-equilibrium physical systems. We present a formal thermodynamic proof establishing dynamic feedback correction as a mathematical requirement to prevent systemic entropic divergence. To ensure logical closure, all primary proofs are verified natively within the Lean 4 theorem prover.
Author: Safford, Nephi
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204480994
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