Infinite Statistics Condensate as a Model of Dark Matter

Abstract

In some models, dark matter is considered as a condensate bosonic system. In this paper, we prove that condensation is also possible for particles that obey infinite statistics and derive the critical condensation temperature. We argue that a condensed state of a gas of very weakly interacting particles obeying infinite statistics could be considered as a consistent model of dark matter.

arXiv comment1 figure

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• Experimental realization of para-particle oscillators
• The $Z_2\times Z_2$-graded Lie superalgebras $pso(2n+1|2n)$ and $pso(\infty |\infty )$, and parastatistics Fock spaces
• Parafermionic dark mater
• Galaxy rotation curves in the $\mu$-deformation based approach to dark matter
• Thermodynamic geometry of pure Lovelock black holes
• Quantum Thermodynamics and Quantum Entanglement Entropies in an Expanding Universe
• Bose-Einstein condensation as an alternative to inflation
• Para-particle oscillator simulations on a trapped ion quantum computer
• Bosonization in $R$-paraparticle Luttinger models
• Statistics effects in extremal black holes ensemble