December 4, 2025Open Access

CPD Paper 7: Noise-Dominated Systems — When Randomness Overwhelms Curvature, Packing, and Rule Structure

Key Points

Noise-dominated systems exhibit unpredictable transitions, lacking structural persistence in the capacity domain.
Key metrics include curvature and randomness that influence system dynamics and transitions.
Examination of systems reveals the overwhelming effects of randomness on packing pressure and geometric flux.
Understanding these limits in noise-dominated systems may enable new insights into complex dynamics.

Abstract

Noise-dominated systems represent the boundary of the CPD framework: regimes where randomness—external or internally amplified—overwhelms the organizing influence of capacity C, packingpressure P, and geometric flux Q. Unlike C-, P-, or Q-dominated systems, noise-dominated dynamicscannot sustain persistent structure in the C–P domain, and transitions become unpredictableexcept in a statistical sense

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Cite This Study

Pasternak Andrew (Sat,) studied this question.

synapsesocial.com/papers/6930e8e3ea1aef094cca3fcb https://doi.org/https://doi.org/10.5281/zenodo.17757086

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