Three Fundamental Laws of Response and the Universal Set of Physically Constrained Response Functions2.0

Resumen

Across all scales of natural and artificial systems, response to stimuli exhibits a consistent structure: saturating growth, delayed onset, and diminishing gain. We propose that these empirical features derive from three fundamental constraints: (1) thermodynamic saturation, (2) information delay, (3) control stability. We formalize these into a set of admissible response functions, bounded by energy, latency, and dynamic stability. This response set, expressed in normalized rational forms, encompasses classical functions observed in biology, physics, neuroscience, and social systems. By normalizing 35 canonical response equations, we demonstrate that these laws form a universal grammar of response.

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Cómo citar (APA 7)

liu, J. (2025). Three Fundamental Laws of Response and the Universal Set of Physically Constrained Response Functions2.0. https://doi.org/10.31234/osf.io/ma67k_v1