Holographic Inflation Revised

TL;DR

This paper revises the HST model of inflation, linking black hole fluctuations to cosmic inflation, and provides calculations for key inflationary parameters based on this framework.

Contribution

It introduces a revised HST model connecting black hole fluctuations with inflation and derives inflationary parameters from this approach.

Findings

Black hole fluctuations correspond to metric fluctuations during inflation.

Homogeneity arises from causal disconnection of black hole systems.

Calculated number of e-folds and reheat temperature from model parameters.

Abstract

This paper is a major revision of our previous work on the HST model of inflation. We identify the local fluctuations of the metric with fluctuations of the mass and angular momentum of black holes, and show that the consistency conditions in HST for a single trajectory to see more and more of a homogeneous distribution of black holes, imply that the system outside the horizon is undergoing inflation: small systems of equal entropy, are not in causal contact. Homogeneity then requires that the initial trajectory underwent inflation that expanded the black hole radius into our current horizon. The low entropy of the initial state of the universe is explained by the fact that this is the maximal entropy state, which has long lived localized excitations, and which can form structures more complex than black holes. The number of e-folds, reheat temperature of the universe and size of inflationary fluctuations are calculated in terms of a few parameters.