On the holographic bound in Newtonian cosmology

Abstract

The holographic principle sets an upper bound on the total entropy content of the Universe. Within the limits of a Newtonian approximation, a quantum-mechanical model is presented to describe the cosmological fluid. Under the assumption that gravitational equipotential surfaces can be identified with isoentropic surfaces, this model allows for a simple computation of the gravitational entropy of the Universe. The results thus obtained no longer saturate the holographic bound, thus representing a considerable improvement on previous theoretical estimates.

arXiv comment11 pages

References in corpus (9)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• On the Origin of Gravity and the Laws of Newton
• A Larger Estimate of the Entropy of the Universe
• General Relativity from a Thermodynamic Perspective
• Emergent Gravity Paradigm: Recent Progress
• The Atoms Of Space, Gravity and the Cosmological Constant
• Equivalence Postulate and Quantum Origin of Gravitation
• $L^p$-Spectrum of the Schrödinger Operator with Inverted Harmonic Oscillator Potential
• Boltzmann entropy of a Newtonian Universe

Cited by in corpus (3)

• The cosmological constant of emergent spacetime in the Newtonian approximation
• Spherical space in the Newtonian limit: The cosmological constant
• Hyperbolic space in the Newtonian limit: the cosmological constant