MMS-A18: Dynamical Equation and Parameter Basin of the Entropic Spacetime Field

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1. Verfasser: Spencer, Atheen
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Veröffentlicht: Zenodo 2026
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author Spencer, Atheen
author_facet Spencer, Atheen
contents <p>The Entropic Spacetime Field (ESF) is a thermodynamic framework in which spacetime is treated as an active medium whose large-scale geometry responds to entropy gradients. In this picture, small entropy–geometry distortions (“ripplefield” perturbations) evolve through relaxation, diffusion and gravitational reinforcement, potentially contributing to the emergence of cosmic structure without introducing new particle species.</p> <p>This paper presents a dynamical formulation of ESF based on a single evolution equation governing the entropy–geometry perturbation \delta S. The equation combines relaxation toward the total density contrast, spatial diffusion of entropy gradients, gravitational coupling to the potential field, and nonlinear saturation that prevents runaway collapse. Together these terms form a reaction–diffusion–like dynamical system capable of producing filamentary network structures.</p> <p>An exploratory parameter basin is identified for the governing ESF equation. Numerical toy models in this basin generate stable filamentary structures, void regions and overdense nodes qualitatively resembling the cosmic web.</p> <p>The resulting framework provides a compact phenomenological model linking entropy transport, diffusion and nonlinear saturation to large-scale structure formation. Several qualitative implications are discussed, including possible connections to late-time growth suppression, early structure formation and the morphology of the cosmic web.</p> <p>The model remains exploratory and is intended as a testable hypothesis motivating further numerical simulations and observational comparisons using large-scale structure, weak lensing and galaxy survey data.</p>
format Recurso digital
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publishDate 2026
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spellingShingle MMS-A18: Dynamical Equation and Parameter Basin of the Entropic Spacetime Field
Spencer, Atheen
cosmology
modified gravity
dark energy
dark matter alternatives
entropy
emergent spacetime
large-scale structure
cosmic filaments
gravitational lensing
Hubble tension
master equation
relaxation dynamics
ripplefield evolution
entropic gravity
<p>The Entropic Spacetime Field (ESF) is a thermodynamic framework in which spacetime is treated as an active medium whose large-scale geometry responds to entropy gradients. In this picture, small entropy–geometry distortions (“ripplefield” perturbations) evolve through relaxation, diffusion and gravitational reinforcement, potentially contributing to the emergence of cosmic structure without introducing new particle species.</p> <p>This paper presents a dynamical formulation of ESF based on a single evolution equation governing the entropy–geometry perturbation \delta S. The equation combines relaxation toward the total density contrast, spatial diffusion of entropy gradients, gravitational coupling to the potential field, and nonlinear saturation that prevents runaway collapse. Together these terms form a reaction–diffusion–like dynamical system capable of producing filamentary network structures.</p> <p>An exploratory parameter basin is identified for the governing ESF equation. Numerical toy models in this basin generate stable filamentary structures, void regions and overdense nodes qualitatively resembling the cosmic web.</p> <p>The resulting framework provides a compact phenomenological model linking entropy transport, diffusion and nonlinear saturation to large-scale structure formation. Several qualitative implications are discussed, including possible connections to late-time growth suppression, early structure formation and the morphology of the cosmic web.</p> <p>The model remains exploratory and is intended as a testable hypothesis motivating further numerical simulations and observational comparisons using large-scale structure, weak lensing and galaxy survey data.</p>
title MMS-A18: Dynamical Equation and Parameter Basin of the Entropic Spacetime Field
topic cosmology
modified gravity
dark energy
dark matter alternatives
entropy
emergent spacetime
large-scale structure
cosmic filaments
gravitational lensing
Hubble tension
master equation
relaxation dynamics
ripplefield evolution
entropic gravity
url https://doi.org/10.5281/zenodo.18911424