Consciousness as Temporal Integration: A Lyapunov-Stable Free Energy Model

Sakai, Jun

doi:10.51094/jxiv.1651

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Sakai, Jun Independent Researcher

DOI:

https://doi.org/10.51094/jxiv.1651

キーワード:

free energy principle、 Lyapunov stability、 consciousness model、 prediction error、 safe feedback、 dynamical systems

抄録

We present a three-layer dynamical model that embeds conscious observation and intention as safe feedback on top of a free-energy gradient flow. The plant (latent state) descends variational free energy; an observer integrates prediction-error directions; an intention term feeds back a small-gain modulation that cannot overturn the natural free-energy descent. We prove Lyapunov stability (and ISS under bounded disturbances), discuss the relation to Friston’s variational free energy, and articulate ethical guardrails by design. This is a mathematically abstract framework; no human or biological data are used. Simulated experiments demonstrate that the observer variable O(t) exhibits behavioral signatures characteristic of conscious processing, including temporal delay, persistence, and selective attention.

利益相反に関する開示

The author declares no conflict of interest.

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