Canonical Quantization of Scalar Temporal Flow: Quantum Completion of the Scalar Temporal Field Ontology
Year: 2025
Type: article
Abstract: This work presents the canonical quantization of the Scalar Temporal Field Ontology (STFO), completing the theory at the quantum level by promoting both the spacetime metric g_{μν} and the scalar temporal field τ to quantum operators. Using a Hamiltonian formulation, the Wheeler–DeWitt constraint is deparametrized with τ as an internal physical clock, yielding a Schrödinger-type evolution equation for the quantum state of spacetime. The formulation resolves the Problem of Time by identifying τ as the generator of unitary quantum evolution. A covariant path-integral description is provided, and the ultraviolet structure of the effective action is analyzed. The results establish a consistent quantum foundation for STFO and link the quantum notion of time directly to classical scalar-temporal dynamics and strong-field gravitational observables.
Author: Howe, Cale Scott
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7109554238
FWCI:
Cites:
Cited by:
Related to: