Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP

Abstract

In this paper, we explore the the phase transition, critical behavior and microstructure of the FRW in the framework of a new higher order generalized uncertainty principle. Our initial step involves deriving the equation of state by defining the work density $W$ from GUP-corrected Friedmann equations as the thermodynamic pressure $P$. Based on the modified equation of state, we conduct an analysis of the $P-V$ phase transition in the FRW universe. Subsequently, we obtain the critical exponents and coexistence curves for the small and large phases of the FRW universe around the critical point. Finally, employing Ruppeiner geometry, we derive the thermodynamic curvature scalar $R_N$, investigating its sign-changing curve and spinodal curve. The results reveal distinctive thermodynamic properties for FRW universes with positive and negative GUP parameters $\beta$. In the case of $\beta >0$, the phase transition, critical behavior and microstructure of FRW universe are consistent with those of Van der Waals fluids. Conversely, for $\beta <0$, the results resemble those obtained through effective scalar field theory. These findings underscore the capacity of quantum gravity to induce phase transitions in the universe, warranting further in-depth exploration.

12 pages, 8 figures

References in corpus (28)

• Discreteness of Space from the Generalized Uncertainty Principle
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Negative Absolute Temperature for Motional Degrees of Freedom
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Friedmann Equations and Thermodynamics of Apparent Horizons
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Equilibration rates and negative absolute temperatures for ultracold atoms in optical lattices
• Thermodynamics of hairy black holes in Lovelock gravity
• Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
• Semiclassical corrections to black hole entropy and the generalized uncertainty principle
• Atomic Gases at Negative Kinetic Temperature
• Minimal Length, Friedmann Equations and Maximum Density
• Baryogenesis in non-extensive Tsallis Cosmology
• Stochastic gravitational-wave background in quantum gravity
• Non-singular and Cyclic Universe from the Modified GUP
• An Inflationary Non-singular Quantum Cosmological Model
• Hubble tension bounds the GUP and EUP parameters
• Hawking radiation from the cosmological horizon in a FRW universe
• New generalized uncertainty principle with parameter adaptability for the minimum length
• Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
• Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
• One-loop quantum gravity repulsion in the early Universe
• Higher-order generalized uncertainty principle applied to gravitational baryogenesis
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• Cosmological FLRW phase transitions and micro-structure under Kaniadakis statistics
• Generalized uncertainty principle and stochastic gravitational wave background spectrum
• Barrow entropy and stochastic gravitational wave background generated from cosmological QCD phase transition

Cited by in corpus (3)

• Black Hole Chemistry: the first 15 years
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Heat Capacity and the Violation of Scaling Laws in Gravitational System