Dark Matter as an Emergent Phenomenon in Simplicial Discrete Informational Spacetime: A Formal Geometric Framework

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Autor principal: Karazoupis, Miltiadis
Formato: Recurso digital
Publicado: Zenodo 2025
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author Karazoupis, Miltiadis
author_facet Karazoupis, Miltiadis
contents <p><span><span lang="EN-US">The physical nature of dark matter constitutes one of the most significant unresolved questions in modern cosmology and particle physics. Current standard models predominantly postulate the existence of undiscovered weakly interacting massive particles (WIMPs) or other exotic entities, yet direct detection experiments have yielded null results to date. This paper presents an alternative theoretical framework wherein dark matter emerges not from novel particle content, but from the fundamental geometric and informational structure of spacetime itself. We utilize the Simplicial Discrete Informational Spacetime (SDIS) model, which posits that spacetime is fundamentally discrete, represented by a dynamic 4-dimensional simplicial complex. Within this framework, each spacetime simplex possesses quantum informational content, quantified by entanglement entropy. We demonstrate formally that spatial gradients in this simplicial entanglement entropy necessarily induce spacetime torsion. This torsion field, in turn, generates an effective stress-energy tensor that manifests gravitationally in a manner consistent with observed dark matter phenomena. We derive the resulting dark matter density profile and show its compatibility with empirical observations such as galactic rotation curves and gravitational lensing, without invoking new fundamental particles. The proposed mechanism offers a self-consistent mathematical description, grounded in quantum information and discrete geometry, potentially resolving the dark matter problem as an emergent property of a quantum-informational spacetime structure.</span></span></p>
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spellingShingle Dark Matter as an Emergent Phenomenon in Simplicial Discrete Informational Spacetime: A Formal Geometric Framework
Karazoupis, Miltiadis
Dark Matter
Simplicial Discrete Informational Spacetime (SDIS)
Quantum Gravity
Discrete Spacetime
Entanglement Entropy
Spacetime Torsion
Emergent Phenomena
Information Geometry
<p><span><span lang="EN-US">The physical nature of dark matter constitutes one of the most significant unresolved questions in modern cosmology and particle physics. Current standard models predominantly postulate the existence of undiscovered weakly interacting massive particles (WIMPs) or other exotic entities, yet direct detection experiments have yielded null results to date. This paper presents an alternative theoretical framework wherein dark matter emerges not from novel particle content, but from the fundamental geometric and informational structure of spacetime itself. We utilize the Simplicial Discrete Informational Spacetime (SDIS) model, which posits that spacetime is fundamentally discrete, represented by a dynamic 4-dimensional simplicial complex. Within this framework, each spacetime simplex possesses quantum informational content, quantified by entanglement entropy. We demonstrate formally that spatial gradients in this simplicial entanglement entropy necessarily induce spacetime torsion. This torsion field, in turn, generates an effective stress-energy tensor that manifests gravitationally in a manner consistent with observed dark matter phenomena. We derive the resulting dark matter density profile and show its compatibility with empirical observations such as galactic rotation curves and gravitational lensing, without invoking new fundamental particles. The proposed mechanism offers a self-consistent mathematical description, grounded in quantum information and discrete geometry, potentially resolving the dark matter problem as an emergent property of a quantum-informational spacetime structure.</span></span></p>
title Dark Matter as an Emergent Phenomenon in Simplicial Discrete Informational Spacetime: A Formal Geometric Framework
topic Dark Matter
Simplicial Discrete Informational Spacetime (SDIS)
Quantum Gravity
Discrete Spacetime
Entanglement Entropy
Spacetime Torsion
Emergent Phenomena
Information Geometry
url https://doi.org/10.5281/zenodo.15190752