Generalized Uncertainty Principle, Modified Dispersion Relations and Early Universe Thermodynamics

Abstract

In this paper, we study the effects of Generalized Uncertainty Principle(GUP) and Modified Dispersion Relations(MDRs) on the thermodynamics of ultra-relativistic particles in early universe. We show that limitations imposed by GUP and particle horizon on the measurement processes, lead to certain modifications of early universe thermodynamics.

21 Pages, 3 eps Figure, Revised Version

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• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
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• New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
• A class of GUP solutions in deformed quantum mechanics
• 30 years in: Quo vadis generalized uncertainty principle?
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• Comparing two approaches to Hawking radiation of Schwarzschild-de Sitter black holes
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• Minimal Length and the Quantum Bouncer: A Nonperturbative Study
• Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
• Exact Ultra Cold Neutrons' Energy Spectrum in Gravitational Quantum Mechanics
• Geodesic Structure of the Quantum-Corrected Schwarzschild Black Hole Surrounded by Quintessence
• Quantum theory of the Generalised Uncertainty Principle
• Failure of Standard Thermodynamics in Planck Scale Black Hole System
• Coherent States in Gravitational Quantum Mechanics
• Existence of Chandrasekhar's limit in GUP white dwarfs
• Modified Newton's Law of Gravitation Due to Minimal Length in Quantum Gravity
• Thermostatistics of the Polymeric Ideal Gas
• Statistical Thermodynamics of Polymer Quantum Systems
• Effects of the Generalized Uncertainty Principle on the Inflation Parameters
• Constraining the generalized uncertainty principle with neutron interferometry
• Compact stars in quantum spacetime
• Minimal Length, Measurability and Gravity
• Modified clock inequalities and modified black hole lifetime
• On the reformulation of Thomas-Fermi model to make it compatible to the Planck-scale
• Noncommutative spaces and covariant formulation of statistical mechanics
• UV/IR Mixing and Black Hole Thermodynamics
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• Entropy bound for the photon gas in noncommutative spacetime
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Photon gas thermodynamics in dS and AdS momentum spaces
• Thermal effects of a photon gas with a deformed Heisenberg algebra
• $\lambda {\varphi }^4$ Kink and sine-Gordon Soliton in the GUP Framework
• The ideal gas of Bosons and Fermions in Harmonic Traps in the framework of Extended Uncertainty Principle
• Energy-time uncertainty relation from entropy measures