The Dynamics of Information Fields
Year: 2025
Type: article
Abstract: We introduce a formal framework for the dynamics of information fields, defining information content as I(x,t)=−log(P(x,t)) and deriving a general partial differential equation that captures wave-like propagation, diffusion, and nonlinear gradient interactions. The framework recovers classical diffusion in the overdamped limit and extends naturally to quantum systems, yielding a nonlinear Schrödinger equation with a density-dependent potential. This approach provides insight into how local variations in a scalar field which represents information, probability, or density, modulate the propagation of perturbations, with potential applications in Bose–Einstein condensates, nonlinear optics, and collective phenomena in complex systems.
Author: Gupta, Pushp
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7078375449
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