A universal theorem of sensory information

Fuente: arXiv
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Main Author: Wong, Willy
Format: Preprint
Published: 2025
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author Wong, Willy
author_facet Wong, Willy
contents A universal theorem of sensory information, analogous to the second law of thermodynamics, is derived. Beginning from a minimal description of a sensory neuron, a state-space representation of firing rate emerges naturally from Shannon's measure of information. A special case of this formulation predicts a previously unknown inequality governing sensory adaptation, which was confirmed across different modalities, species, and experimental conditions. Further analysis shows that the firing rate behaves like a state function in thermodynamics, leading to an entropy production equation from which a general law follows: any closed cycle of stimulation yields a non-negative net gain of sensory information.
format Preprint
id arxiv_https___arxiv_org_abs_2511_11463
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A universal theorem of sensory information
Wong, Willy
Neurons and Cognition
A universal theorem of sensory information, analogous to the second law of thermodynamics, is derived. Beginning from a minimal description of a sensory neuron, a state-space representation of firing rate emerges naturally from Shannon's measure of information. A special case of this formulation predicts a previously unknown inequality governing sensory adaptation, which was confirmed across different modalities, species, and experimental conditions. Further analysis shows that the firing rate behaves like a state function in thermodynamics, leading to an entropy production equation from which a general law follows: any closed cycle of stimulation yields a non-negative net gain of sensory information.
title A universal theorem of sensory information
topic Neurons and Cognition
url https://arxiv.org/abs/2511.11463