Holography and non-locality in a closed vacuum-dominated universe

TL;DR

This paper explores how holography and non-local quantum effects manifest in a closed, vacuum-dominated universe approaching de Sitter space, highlighting the role of the cosmological horizon in information and wavefunction dynamics.

Contribution

It introduces a model linking the holographic principle with non-local quantum interactions in a closed universe, emphasizing the boundary conditions set by the horizon.

Findings

The horizon area determines the universe's information content.

Wavefunction boundary conditions influence mass distribution.

Local interactions induce instantaneous non-local effects.

Abstract

A closed vacuum-dominated Friedmann universe is asymptotic to a de Sitter space with a cosmological event horizon for any observer. The holographic principle says the area of the horizon in Planck units determines the number of bits of information about the universe that will ever be available to any observer. The wavefunction describing the probability distribution of mass quanta associated with bits of information on the horizon is the boundary condition for the wavefunction specifying the probability distribution of mass quanta throughout the universe. Local interactions between mass quanta in the universe cause quantum transitions in the wavefunction specifying the distribution of mass throughout the universe, with instantaneous non-local effects throughout the universe.