Interplay between the small and the large scale structure of spacetime

TL;DR

This paper explores the concept of invariant global parameters like maximum time, length, and mass in the universe, examining their influence on local physical quantities within the de Sitter cosmological model.

Contribution

It introduces the idea of global invariant parameters and analyzes their effects on local physics in the context of the de Sitter universe.

Findings

Proposes maximum invariant time, length, and mass as fundamental parameters.

Connects global invariants to local physical quantities like velocity.

Discusses implications for the universe's lifespan, size, and mass.

Abstract

Existence of frame invariant, maximum, time interval $T$, length $L$, and mass $M$ is postulated. In the de Sitter universe - (1) the life span of universe, (2) the circumference of universe at the point of maximum expansion, and (3) the mass of the universe - are candidates for $T$, $L$ and $M$ respectively. Impact of such invariant global parameters, on the definition of local physical quantities, such as velocity is discussed.