Reflexive Causal Dominance and Persistent Cooperative Dynamics in Creator-Created Systems

We introduce an operational definition of creation in reflexive dynamical systems based on causal dominance over future state trajectories rather than historical origin. Dominance is quantified via interventional effects on a persistence metric tau, comparing the influence of an external controller policy pi_D against a system's internal self-regulatory policy pi_S. Using simulation-based do() interventions, we estimate Delta_D and Delta_S and define Dominance(D->S) = |Delta_D| / (|Delta_S| + epsilon). Experimental results show internal self-regulation dominates external control (Dominance = 0.430 < 1.0) in the studied regime, demonstrating the transience of the creator role as autonomous regulatory capacity develops. We further propose helicoidal trajectories as geometric signatures of cooperative persistence without stasis, providing a substrate-independent formal framework applicable to artificial life, autonomous agent alignment, and biological regulation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24024705
Primary Topic
Complex Systems and Dynamics
Type
preprint
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preprint

Reflexive Causal Dominance and Persistent Cooperative Dynamics in Creator-Created Systems

David Botargues Martin
1 links
Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Dynamics
preprint

Reflexive Causal Dominance and Persistent Cooperative Dynamics in Creator-Created Systems

David Botargues Martin
preprint en

Abstract

We introduce an operational definition of creation in reflexive dynamical systems based on causal dominance over future state trajectories rather than historical origin. Dominance is quantified via interventional effects on a persistence metric tau, comparing the influence of an external controller policy pi_D against a system's internal self-regulatory policy pi_S. Using simulation-based do() interventions, we estimate Delta_D and Delta_S and define Dominance(D->S) = |Delta_D| / (|Delta_S| + epsilon). Experimental results show internal self-regulation dominates external control (Dominance = 0.430 < 1.0) in the studied regime, demonstrating the transience of the creator role as autonomous regulatory capacity develops. We further propose helicoidal trajectories as geometric signatures of cooperative persistence without stasis, providing a substrate-independent formal framework applicable to artificial life, autonomous agent alignment, and biological regulation.

Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Dynamics
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