Horizon Entropy Refined: Quantum Contributions and Cosmological Insights

TL;DR

This paper investigates quantum fluctuations' impact on horizon entropy and their implications for cosmology, proposing modified Friedmann equations that can be constrained by supernova data, thus linking quantum gravity with observational cosmology.

Contribution

It introduces a model incorporating quantum corrections to horizon entropy into cosmological equations, providing a novel way to test quantum gravity effects observationally.

Findings

Quantum fluctuations can increase horizon area by up to 47%.

Modified Friedmann equations depend on quantum correction parameters.

Model constraints are derived from Pantheon supernova data.

Abstract

We study the effects of quantum fluctuations on the event horizon area and their implications for corrections to the Bekenstein-Hawking entropy. These quantum corrections are incorporated into the framework of large-scale gravitational systems, utilizing the holographic principle to derive modified Friedmann equations. By redefining the Bekenstein-Hawking entropy, our model predicts significant alterations to the Friedmann equations within specific parameter ranges, offering novel perspectives on cosmological scales. Using distance modulus data from the Pantheon supernova sample, we demonstrate the model's potential to constrain the parameters governing quantum corrections and address unresolved cosmological issues. Crucially, our analysis reveals that quantum fluctuations can increase the area of the event horizon by up to 47\%. Beyond this threshold, theoretical predictions encounter substantial challenges when compared with observational data. This approach bridges quantum gravity and observational cosmology, opening new avenues for testing and refining theoretical models.