A note on vacuum energy from the de Sitter spectrum

TL;DR

This paper explores how the entropy-energy relation in the early universe constrains the current vacuum energy and the initial inflationary conditions, linking fundamental cosmological parameters.

Contribution

It demonstrates that applying the entropy-energy relation to the early universe determines the present vacuum energy and constrains initial inflationary states.

Findings

Current vacuum energy can be derived from early universe entropy considerations.

The relation imposes constraints on initial inflationary conditions.

The approach links fundamental cosmological parameters through entropy-energy relations.

Abstract

It is shown that a well-known relation between entropy of a system and its energy spectrum being applied to the early universe determines the present vacuum energy and the time scale on which this energy can manifest itself. Given the present vacuum energy, the relation imposes a constraint on the initial inflationary state.