Towards a Cosmology with Minimal Length and Maximal Energy

Abstract

The Friedmann-Robertson-Walker (FRW) universe and Bianchi I,II universes are investigated in the framework of the generalized uncertainty principle (GUP) with a linear and a quadratic term in Planck length and momentum, which predicts minimum measurable length as well as maximum measurable momentum. We get a dynamic cosmological bounce for the FRW universe. With Bianchi universe, we found that the universe may be still isotropic by implementing GUP. Moreover, the wall velocity appears to be stationary with respect to the universe velocity which means that when the momentum of the Universe evolves into a maximum measurable energy, the bounce is enhanced against the wall which means no maximum limit angle is manifested anymore.

14 pages, 3 figures, To appear in Class.Quant.Grav

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• Emergent Universe from Energy-Momentum Squared Gravity
• Maximal momentum GUP leads to quadratic gravity
• Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
• Newtonian Cosmology with a Quantum Bounce
• The Harmonic Oscillator in the Classical Limit of a Minimal-Length Scenario
• Quantum gravitational signatures in next-generation gravitational wave detectors
• Discreteness of time in the evolution of the universe
• Bouncing universe with modified dispersion relation
• Interacting Dark Side of Universe Through Generalized Uncertainty Principle
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• Generalized Uncertainty Principle from the Regularized Self-Energy
• Scalar field inflation driven by a modification of the Heisenberg algebra
• Short Distance Modification of a Gravitational System and its Optical Analog
• Quantum tunneling driven by quintessence and the role of GUP
• Nonsingular universe from generalized thermostatistics
• Ideal Quantum Gases with Planck Scale Limitations
• GUP/BEB correspondence