The holographic space-time model of inflation and its predictions for the CMB primordial spectra

TL;DR

This paper calculates the primordial power spectra in the Holographic Space-time (HST) inflation model, showing it fits observational data well and avoids Transplanckian issues, offering a novel approach to early universe cosmology.

Contribution

It provides a precise normalization of inflationary spectra within the HST model, advancing the understanding of holographic cosmology and its observational viability.

Findings

HST model predictions match current CMB data

Tensor-to-scalar ratio aligns with observations

No Transplanckian problems in the model

Abstract

In 1998 Carlip and Solodukhin independently conjectured the equality between fluctuations in the modular Hamiltonian of black holes and its expectation value. Banks and Zurek's 2021 work generalized this observation to any causal diamonds. We use this observation to calculate the precise normalization of primordial scalar and tensor power spectra in the Holographic Space-time (HST) model of inflation. In previous work Banks and Fischler outlined the general calculation of inflationary power spectra in this model, which we review here. Its conceptual basis is radically different from field theoretic inflation and it has no Transplanckian problems, but its predictions for power spectra will be shown to fit extant data equally well, and the tensor-to-scalar ratio agrees with experimental observations.