Relativistic Thermodynamics with an Invariant Energy Scale

Abstract

A particular framework for Quantum Gravity is the Doubly Special Relativity (DSR) formalism that introduces a new observer independent scale, the Planck energy. Our aim in this paper is to study the effects of this energy upper bound in relativistic thermodynamics. We have explicitly computed the modified equation of state for an ideal fluid in the DSR framework. In deriving our result we exploited the scheme of treating DSR as a non-linear representation of the Lorentz group in Special Relativity.

14 pages, Latex, No figures, minor corrections, two new references added, to appear in PRD

References in corpus (11)

• Universality of Quantum Gravity Corrections
• Introduction to Doubly Special Relativity
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Multi-Particle States in Deformed Special Relativity
• The Free Particle in Deformed Special Relativity
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Quantum Gravity Phenomenology
• Could quantum gravity be tested with high intensity Lasers?
• Doubly special relativity and translation invariance
• The $AdS$ particle

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• Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
• The Soccer-Ball Problem
• Thermodynamics of massless particles in curved spacetime
• Experimental Search for Quantum Gravity
• Gravity's rainbow: a bridge between LQC and DSR
• Thermostatistics of the Polymeric Ideal Gas
• Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in anti-de Sitter Black Holes via Charged Particle Absorption
• Compact stars in quantum spacetime
• Exploring the thermodynamics of non-commutative scalar fields
• Noncommutative spaces and covariant formulation of statistical mechanics
• Entropy bound for the photon gas in noncommutative spacetime
• Effect of Non-commutativity of space-time on Thermodynamics of Photon gas
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• Early universe thermostatistics in curved momentum spaces
• Planck scale effect on the thermodynamics of photon gas
• Photon gas thermodynamics in dS and AdS momentum spaces
• Some Features of Scattering Problem in a $\kappa$-Deformed Minkowski Spacetime
• An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels
• The Effect of Modified Dispersion Relation on Dumb Holes