Macroscopically-Discrete Quantum Cosmology

TL;DR

This paper develops a quantum cosmology framework using a Fock space of universe constituents called preons, linking Lorentz invariance, operator theory, and slice-based spacetime to describe universe evolution and particle states.

Contribution

It introduces a novel quantum cosmology model associating universe slices with preons and operator expectations, integrating Lorentz invariance and Fock space concepts into cosmological descriptions.

Findings

Preon wave functions correspond to elementary particles or gravitons.

The model aligns with special relativity at intermediate scales.

Universe slices are described via boundary conditions and Feynman paths.

Abstract

To Milne's Lorentz-group-based spacetime and Gelfand-Naimark unitary representations of this group we associate a Fock space of 'cosmological preons'-quantum-theoretic universe constituents. Milne's 'cosmological principle' relies on Lorentz invariance of 'age'--global time. We divide Milne's spacetime into 'slices' of fixed macroscopic width in age, with 'cosmological rays' defined on (hyperbolic) slice boundaries-Fock space attaching only to these exceptional universe ages. Each (fixed-age) preon locates within a 6-dimensional manifold, one of whose 3 'extra' dimensions associates in Dirac sense to a self-adjoint operator that represents preon (continuous) local time, the operator canonically-conjugate thereto representing preon (total) energy. Self-adjoint-operator expectations at any spacetime-slice boundary prescribe throughout the following slice a non-fluctuating 'mundane reality'- electromagnetic and gravitational potentials 'tethered' to current densities of locally-conserved electric charge and energy-momentum. The ray at the upper boundary of a slice is determined from the lower-boundary ray by branched slice-traversing Feynman paths that carry (divergence-free) potential-depending action. A macroscopically-stable positive-energy single-preon wave function identifies either with a Standard-Model elementary particle or with a graviton. Within intermediate-density universe regions such as the solar system, where reproducible measurement is meaningful, special relativity--Poincar\'e invariance-is accurate for spacetime scales far below that of Hubble and far above that of Planck.