Bosonic Quantum Gravity According to the Global One-Dimensionality Conjecture

TL;DR

This paper proposes a novel approach to quantum gravity by reducing the Wheeler-DeWitt equation to a Klein-Gordon form using the global one-dimensionality conjecture, and analyzes the quantum dynamics of bosonic particles.

Contribution

It introduces a method to describe quantum gravity as a scalar bosonic particle system via second quantization and initial data scaling, offering new insights into boson mass determination.

Findings

Quantum gravity can be modeled as a scalar bosonic particle system.

The boson mass relates to initial data through quantum correlations.

The approach employs Bogoliubov transformation and Heisenberg equations.

Abstract

In this paper, making use of the global one-dimensionality conjecture, we discuss the reduction of the Wheeler-DeWitt quantum geometrodynamics to the Klein-Gordon equation describing the scalar bosonic particle. The method of second quantization in the appropriate Fock space is applied, and, employing both the Bogoliubov transformation as well as Heisenberg equations of motion, the quantum gravity is expressed as evolution of the creators and annihilators related to the initial data. It is shown that this procedure leads to the understanding of the boson mass, through the one-point two-boson quantum correlations, as a scaled initial data mass.