The holographic origin of future singularities and the role of spatial curvature in cosmic expansion

Abstract

We investigate the fundamental cosmological implications of holographic dark energy using the Granda-Oliveros (GO) infrared cutoff, spatial curvature, and generalized entropies. We demonstrate that the GO cutoff establishes a geometric origin for phantom acceleration, inevitably leading to a big rip singularity without requiring exotic matter. Incorporating spatial curvature reveals that topology acts as a quantitative catalyst; positive curvature accelerates the singularity in closed universes, but cannot alter its fundamental behavior. Furthermore, we show that Kaniadakis generalized entropy modifications are structurally insufficient to prevent this finite-time divergence. To successfully soften the big rip and yield an asymptotic little rip, it is necessary (as first alternative) to integrate irreversible thermodynamical mechanisms, such as non-equilibrium particle creation. These macroscopic processes are sufficient to neutralize the geometric divergence of the GO cutoff, as we discuss in the work.

9 pages, no figures. Published version in Fortschritte der Physik

References in corpus (12)

• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Cosmology Intertwined II: The Hubble Constant Tension
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• The Area of a Rough Black Hole
• Infrared cut-off proposal for the Holographic density
• Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy
• Dynamical Dark Energy or Simply Cosmic Curvature?
• Kaniadakis holographic dark energy and cosmology
• Matter creation and cosmic acceleration
• Tsallis and Kaniadakis statistics from the viewpoint of entropic gravity formalism
• Revealing some cosmological aspects of Kaniadakis entropy