Emergent observable deSitter space from an Equation of Motion

TL;DR

This paper proposes a novel quantum oscillator-based model for the emergence of observable de-Sitter space-time, linking quantum states and superpositions to cosmological properties and initial inhomogeneities.

Contribution

It introduces a new framework connecting quantum harmonic oscillator states with the emergence of de-Sitter space-time and its inhomogeneities.

Findings

De-Sitter space-time can originate from Gaussian distributions in quantum harmonic oscillators.

Excited quantum states contribute to the structure of de-Sitter space.

Superpositions of quantum states lead to initial inhomogeneities in the universe.

Abstract

We propose that de-Sitter space-time originates from Gaussian distribution in a quantum harmonic oscillator system. This equation associates with a massless Klein-Gordon equation. We discover that every excited states of quantum oscillator also contributes for the de-Sitter space-time. The observable part of metric is related to energy scale and excited quantum number $n$. As for off-diagonal elements, it comes from the superposition of quantum mechanics. These elements can cause in-homogeneous at the very beginning of universe.