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Published January 22, 2026 | Version 1
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THE CALCULUS OF FATIGUE: MODELING NEUROCOGNITIVE SOLVENCY AS A DYNAMIC INTEGRAL IN HIGH-FIDELITY ARCHITECTURES (HEPOE THEORY)

  • 1. Independent Researcher

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ABSTRACT

The High Entropy Predictive Organization Efficiency (HEPOE) theory established the fundamental thermodynamic boundaries of neurodivergent cognition through the Predictive Solvency Inequality. This technical update expands the framework into a dynamic temporal model, introducing the Brezolin Solvency Integral. We propose that neurocognitive exhaustion and the phenomenon of "Brain Fog" are emergent properties of a negative energy balance in High-Fidelity architectures, specifically within the Sentinel Phenotype. The model is presented as an etiologically agnostic Shell Theory (Meta-Architecture), where genetic, enzymatic, and neuroinflammatory variables are treated as coefficients of Systemic Friction (Ω). By applying Landauer’s Principle, we demonstrate that "Brain Fog" functions as a critical "thermal circuit breaker" necessary to prevent glutamate-mediated excitotoxicity resulting from the heat dissipation inherent in high-fidelity informational erasure. Furthermore, we introduce the Recovery Integral to quantify the impact of Residual Insolvency, providing a mathematical justification for the clinical necessity of sensory isolation and restorative "cooling" periods in twice-exceptional (2e) populations.

Keywords: HEPOE Theory. Bioenergetic Solvency. Dynamic Integral. Information Thermodynamics. Brain Fog. Sentinel Phenotype. Metabolic Friction.

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Supplementary_Data_Calculus_of_Fatigue_Brezolin_and_Freitas_THE_SENTINEL_PHENOTYPE_20262.pdf

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Preprint: 10.5281/ZENODO.18284802 (DOI)

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