Tsallis cosmology and its applications in dark matter physics with focus on IceCube high-energy neutrino data

Abstract

In this paper we employ a recent proposal of C. Tsallis and formulate the first law of thermodynamics for gravitating systems in terms of the extensive but non-additive entropy. We pay a particular attention to an integrating factor for the heat one-form and show that in contrast to conventional thermodynamics it factorizes into thermal and entropic part. Ensuing first law of thermodynamics implies Tsallis cosmology, which is then subsequently used to address the observed discrepancy between current bound on the Dark Matter relic abundance and present IceCube data on high-energy neutrinos. To resolve this contradiction we keep the conventional minimal Yukawa-type interaction between standard model and Dark Matter particles but replace the usual Friedmann field equations with Tsallis-cosmology-based modified Friedmann equations. We show that when the Tsallis scaling exponent $\delta \sim 1.57$ (or equivalently, the holographic scaling exponent $\alpha \sim 3.13$) the aforementioned discrepancy disappears.

11 pages, 1 figure

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• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and the Relic Abundance of Cold Dark Matter Particles
• Imprints of Barrow-Tsallis Cosmology in Primordial Gravitational Waves
• Generalized interacting Barrow Holographic Dark Energy: cosmological predictions and thermodynamic considerations
• Barrow and Tsallis entropies after the DESI DR2 BAO data
• Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
• Lagrangian formulation of the Tsallis entropy
• Topological and optical signatures of modified black-hole entropies
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Constraints on Tsallis cosmology using recent low and high redshift measurements
• Learn your entropy from informative data: an axiom ensuring the consistent identification of generalized entropies
• Observational constraints on Luciano-Saridakis entropic cosmology
• Running of the Number of Degrees of Freedom in Quantum Conformal Gravity
• Generalized Algebra Grounded on Nonadditive Entropies