Bose-Einstein Condensates in Astrophysics and Cosmology: From Quantum Statistics to Cosmic Structures

Fuente: arXiv
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Autore principale: Haddad, Nader
Natura: Preprint
Pubblicazione: 2025
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author Haddad, Nader
author_facet Haddad, Nader
contents We present a comprehensive theoretical investigation of Bose-Einstein condensates (BECs) and their manifestations in astrophysical and cosmological contexts. Building upon the foundations of quantum statistics in curved spacetime, we derive the conditions for BEC formation under extreme gravitational fields and explore their implications for compact objects and early universe physics. Through rigorous mathematical treatment incorporating general relativistic corrections to the Bose-Einstein distribution, we demonstrate that BEC phenomena may play crucial roles in neutron star interiors, primordial black hole formation, and dark matter halos. Our analysis reveals that the critical temperature for condensation exhibits non-trivial dependence on spacetime curvature, with corrections of order O(GM/rc2) becoming significant near compact objects. We further show that axion dark matter, if it exists, naturally forms a cosmic BEC with coherence length λdB ~ 10^-3 pc for ma ~ 10^-22 eV, potentially explaining the observed core-cusp problem in galactic dark matter profiles. These findings suggest that quantum coherence effects at macroscopic scales may be more prevalent in the universe than previously recognized, with profound implications for our understanding of cosmic structure formation and the behaviour of matter under extreme conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2508_15864
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bose-Einstein Condensates in Astrophysics and Cosmology: From Quantum Statistics to Cosmic Structures
Haddad, Nader
Cosmology and Nongalactic Astrophysics
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
We present a comprehensive theoretical investigation of Bose-Einstein condensates (BECs) and their manifestations in astrophysical and cosmological contexts. Building upon the foundations of quantum statistics in curved spacetime, we derive the conditions for BEC formation under extreme gravitational fields and explore their implications for compact objects and early universe physics. Through rigorous mathematical treatment incorporating general relativistic corrections to the Bose-Einstein distribution, we demonstrate that BEC phenomena may play crucial roles in neutron star interiors, primordial black hole formation, and dark matter halos. Our analysis reveals that the critical temperature for condensation exhibits non-trivial dependence on spacetime curvature, with corrections of order O(GM/rc2) becoming significant near compact objects. We further show that axion dark matter, if it exists, naturally forms a cosmic BEC with coherence length λdB ~ 10^-3 pc for ma ~ 10^-22 eV, potentially explaining the observed core-cusp problem in galactic dark matter profiles. These findings suggest that quantum coherence effects at macroscopic scales may be more prevalent in the universe than previously recognized, with profound implications for our understanding of cosmic structure formation and the behaviour of matter under extreme conditions.
title Bose-Einstein Condensates in Astrophysics and Cosmology: From Quantum Statistics to Cosmic Structures
topic Cosmology and Nongalactic Astrophysics
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2508.15864