A covariant entropy bound conjecture on the dynamical horizon

TL;DR

This paper proposes a covariant entropy bound conjecture applicable to dynamical horizons, applying it to cosmological models to derive a new upper limit on the cosmological constant and exploring its implications for fundamental physics.

Contribution

It introduces a new covariant entropy bound conjecture for dynamical horizons and applies it to cosmology, offering a novel upper bound on the cosmological constant.

Findings

Imposes an upper bound of 10^{-90} on the cosmological constant.

Suggests a connection between the cosmological constant, mass origin, and the anthropic principle.

Provides an alternative perspective on the cosmological constant problem.

Abstract

As a compelling pattern for the holographic principle, our covariant entropy bound conjecture is proposed for more general dynamical horizons. Then we apply our conjecture to $\Lambda$CDM cosmological models, where we find it imposes a novel upper bound $10^{-90}$ on the cosmological constant for our own universe by taking into account the dominant entropy contribution from super-massive black holes, which thus provides an alternative macroscopic perspective to understand the longstanding cosmological constant problem. As an intriguing implication of this conjecture, we also discuss the possible profound relation between the present cosmological constant, the origin of mass, and the anthropic principle.