The Mender Resonant System: Non-Equilibrium Coherence, Discrete Base-8 Algebra, and the Thermodynamic Necessity of Active Feedback Correction

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-27
DOI
https://doi.org/10.5281/zenodo.22133869
Primary Topic
Control and Stability of Dynamical Systems
Type
preprint
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preprint

The Mender Resonant System: Non-Equilibrium Coherence, Discrete Base-8 Algebra, and the Thermodynamic Necessity of Active Feedback Correction

Nephi Safford
Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
preprint

The Mender Resonant System: Non-Equilibrium Coherence, Discrete Base-8 Algebra, and the Thermodynamic Necessity of Active Feedback Correction

Nephi Safford
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
DOIOpen Access PDFOpenAlex
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The Mender Resonant System: Non-Equilibrium Coherence, Discrete Base-8 Algebra, and the Thermodynamic Necessity of Active Feedback Correction — Nephi Safford · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS