Agape Constant

Complex systems face a fundamental coordination-coercion dilemma: high global synchronization often masks severe local inequities, leading to coercive resource or information distribution. This thesis presents a unified mathematical framework for achieving global coherence while minimizing local variance suppression. By modifying the Kuramoto model of coupled non-linear oscillators with a time-adaptive variance penalty, we prove the existence of a globally asymptotically stable "equi-coherent attractor". We translate this continuous dynamical system into discrete implementations across multimodal artificial intelligence, regenerative ecology, and decentralized governance, providing falsifiable predictions for system resilience.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-21
DOI
https://doi.org/10.5281/zenodo.20319539
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
preprint
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preprint

Agape Constant

Christopher Chorkey
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
preprint

Agape Constant

Christopher Chorkey
preprint en

Abstract

Complex systems face a fundamental coordination-coercion dilemma: high global synchronization often masks severe local inequities, leading to coercive resource or information distribution. This thesis presents a unified mathematical framework for achieving global coherence while minimizing local variance suppression. By modifying the Kuramoto model of coupled non-linear oscillators with a time-adaptive variance penalty, we prove the existence of a globally asymptotically stable "equi-coherent attractor". We translate this continuous dynamical system into discrete implementations across multimodal artificial intelligence, regenerative ecology, and decentralized governance, providing falsifiable predictions for system resilience.

Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
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