Effect of the modified Heisenberg algebra on the Black hole thermodynamics

Abstract

In this letter, we introduce two new forms of uncertainty relations by extending the usual Heisenberg algebra with higher terms. Within these scenarios, at first, we study on the Unruh temperature. We find that the Unruh temperature increases in one of the new forms while it decreases in the other form. Next, we explore the thermodynamic properties of a Schwarzschild black hole by relying on these two new forms of the Heisenberg uncertainty relation. We present the modifications in the mass-temperature, specific heat, and entropy functions of the black hole according to the extension parameters.

arXiv comment11 pages, 7 figures

References in corpus (29)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• The Generalized Uncertainty Principle and Black Hole Remnants
• Minimal Length Scale Scenarios for Quantum Gravity
• Discreteness of Space from the Generalized Uncertainty Principle
• Nonpointlike Particles in Harmonic Oscillators
• A proposal for testing Quantum Gravity in the lab
• Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Perturbation spectrum in inflation with cutoff
• Mode Generating Mechanism in Inflation with Cutoff
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
• GUP parameter from quantum corrections to the Newtonian potential
• Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
• Generalized Uncertainty Principle and Corpuscular Gravity
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Modified Unruh effect from Generalized Uncertainty Principle
• Lorentz violation and generalized uncertainty principle
• Massive Vector Particles Tunneling From Noncommutative Charged Black Holes and its GUP-corrected Thermodynamics
• GUP parameter from Maximal Acceleration
• Modified Dispersion Relation, Photon's Velocity, and Unruh Effect
• Entangled Particles Tunneling From a Schwarzschild Black Hole immersed in an Electromagnetic Universe with GUP
• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• The Effect of GUP to Massive Vector and Scalar Particles Tunneling From a Warped DGP Gravity Black Hole
• Phenomenology of GUP stars
• Investigation of Unruh temperature of Black holes by using of EGUP formalism
• Deformed spaces and loop cosmology

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• Quantum corrections to the quasinormal modes of the Schwarzschild black hole
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• New higher-order generalized uncertainty principle: Applications
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