Combined variable field theory in FLRW cosmology

TL;DR

This paper explores the implications of combined variable field theory in FLRW cosmology, revealing new insights into the universe's initial conditions, its dependence on a new parameter, and quantum effects on its size.

Contribution

It introduces a novel combined variable field framework in FLRW models, analyzing classical and quantum aspects of universe evolution with new theoretical insights.

Findings

Big bang corresponds to   ightarrow  in the theory

Flat universe has two disconnected branches: expanding and collapsing

Quantum theory suggests the universe's initial size was non-zero

Abstract

This work aims to study consequences of \textit{combined variable field theory} developed in [1] by analysing FLRW models of gravity. It shows $\Phi_{q \rightarrow 0} \rightarrow \infty$ is the Big bang in combined variable field theoretic settings. Nature of the Universe depends on the new parameter $k$ appearing in the theory. Flat Universe has two disconnected branches namely expanding and collapsing Universe. Combined variable field for closed Universe is complex in general. Whereas, the theory of open Universe is necessarily self-coupled combined variable field theory. But in the large $r$ limit it reduces to the theory of flat Universe. Resolution of the classical Big bang is a result of quantisation program. Quantum theory predicts that the size of Universe was non-zero in the beginning. Combined variable field quantum in absence of scalar field couplings is interpreted as a quantum of the space. The energy spectrum of this combined variable field quantum varies with time.