The gravitational baryogenesis and a new higher-order extended uncertainty principle with parameter adaptability for the minimum length

Abstract

In this manuscript, we explore the baryon asymmetry of the universe by employing a novel higher-order extended uncertainty principle (EUP) that maintains a minimum length $\mathrm{\Delta }{x}_{\min }=4\sqrt{\left|{\beta }_0\right|}{\ell }_p$ for both positive and negative deformation parameters. Our results demonstrate that the influence of the EUP noticeably modifies the Friedmann equations, leading to a transformation in the characteristics of the pressure and density of the Universe, and subsequently disrupting its thermal equilibrium. Additionally, by amalgamating the adapted Friedmann equations with the conventional theory of gravitational baryogenesis, one can derive a non-zero factor of baryon asymmetry $\eta$, indicating that the quantity of matter in the universe surpasses that of antimatter. Finally, we also utilized astronomical observations to constrain the bounds for both the positive and negative deformation parameters.

7 pages

References in corpus (21)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Discreteness of Space from the Generalized Uncertainty Principle
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Gauss-Bonnet Gravitational Baryogenesis
• Baryogenesis, Primordial Black Holes and MHz-GHz Gravitational Waves
• Semiclassical corrections to black hole entropy and the generalized uncertainty principle
• Loop Quantum Cosmology Gravitational Baryogenesis
• Baryon Asymmetry from the Generalized Uncertainty Principle
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Testing quantum gravity effects with latest CMB observations
• Gravitational baryogenesis in extended teleparallel theories of gravity
• Gravitational Baryogenesis and Dark Matter from Light Black Holes
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Probing the generalized uncertainty principle through quantum noises in optomechanical systems
• New generalized uncertainty principle with parameter adaptability for the minimum length
• Higher-order generalized uncertainty principle applied to gravitational baryogenesis
• Constraining the generalized uncertainty principle with neutron interferometry
• Gravitational baryogenesis in DGP brane cosmology
• Hawking radiation and entropy of a BTZ black hole with minimum length

Cited by in corpus (2)

• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Exponential correction to Friedmann equations