Constraining Zero-Point Length from Gravitational Baryogenesis

Abstract

The existence of a fundamental zero-point length, $l_0$, a minimal spacetime scale predicted by T-duality in string theory or quantum gravity theories, modifies the entropy associated with the horizon of spacetime. In the cosmological setup, this leads to correction to the Friedmann equations governing the evolution of the Universe. In this paper, we investigate the implications of zero-point length $l_0$-corrected gravity for gravitational baryogenesis and early universe thermodynamics, deriving constraints on $l_0$ from observational baryon asymmetry data. We observe that under the condition of non-equilibrium thermodynamics, $l_0$ generates $\dot{\mathcal{R}}\ne 0$ during radiation epoch, where $\mathcal{R}$ is the Ricci scalar. This yields a baryon asymmetry parameter $\eta \propto l_0^2{T}_D^9/M_{\mathrm{Pl}}^7$. The observed baryon asymmetry $\eta \sim 9.9\times 10^{-11}$ constrains $l_0\lesssim 7.1\times 10^{-33}m$, approximately $440$ times the Planck length. Furthermore, our analysis reveals that the zero-point length correction in the Friedmann equation, effectively slows the expansion rate at high energies, resulting in a modified time-temperature relationship where the Universe maintains higher temperatures for longer time during early epochs compared to standard cosmology. Our results establish zero-point length cosmology as a testable framework connecting quantum gravity to cosmological observables, with implications for early universe thermal history and fundamental length scales.

9 pages, 2 figures, Accepted for publication in JCAP

References in corpus (27)

• On the Origin of Gravity and the Laws of Newton
• Recent Progress in Baryogenesis
• Black hole thermodynamical entropy
• Statistical mechanics in the context of special relativity
• Unified first law of black-hole dynamics and relativistic thermodynamics
• The Area of a Rough Black Hole
• Matter and Antimatter in the Universe
• Statistical mechanics in the context of special relativity II
• Cosmic Holography
• Dynamic black-hole entropy
• Gravitational Baryogenesis
• Friedmann Equations from Entropic Force
• Big Bang Nucleosynthesis constraints on Barrow entropy
• Duality and zero-point length of spacetime
• Entropic Corrections to Friedmann Equations
• Quantum Corrected Black Holes from String T-Duality
• $f(T)$ gravitational baryogenesis
• Zero-point length from string fluctuations
• Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
• Baryogenesis in non-extensive Tsallis Cosmology
• Baryon Asymmetry from the Generalized Uncertainty Principle
• Charged black holes from T-duality
• Entropic corrections to Friedmann equations and bouncing universe due to the zero-point length
• Quantum gravity and the zero point length
• Barrow Cosmology and Big-Bang Nucleosynthesis
• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• Thermodynamical properties of nonsingular universe

Cited by in corpus (1)

• Gravitational baryogenesis beyond the spectator approximation