The Panvitalistic Re-Foundation of Quantum Theory: From the Time-Dependent Schrödinger Equation to the Timeless 12D Volume Constraint

Author: Pohl, M.U.E.
DOI: https://doi.org/10.5281/zenodo.19863460
Published: 2026-04-28
Cite as: Pohl, M. U. E. (2026). The Panvitalistic Re-Foundation of Quantum Theory: From the Time-Dependent Schr¨odinger Equation to the Timeless 12D Volume Constraint. Zenodo. https://doi.org/10.5281/zenodo.19863460
Abstract: The Panvitalistic Theory (PVT) replaces the external time parameter of conventional quantum mechanics with internal angular curvature \(\pi \equiv T/L\). The dynamics of any physical system are governed solely by the volume-invariance constraint \(\delta V = 0\) in a discrete, rational 12-dimensional spacetime. We derive the complete set of 12 volume operators and their geometric commutator algebra, show that the time-dependent Schrödinger equation is an artefact of an ontologically inconsistent external-time postulate, and re-derive the Bohr model of the hydrogen atom—including radii \(r_n\), energy levels \(E_n \propto -1/n^2\), and the fine-structure constant \(\alpha\)—directly from the volume constraint. A macroscopic Earth-satellite analogue confirms the geometric origin of quantization. The framework eliminates the measurement problem, the problem of time, and the QT–GRT incompatibility at the axiomatic level while reproducing all spectroscopic successes of standard quantum theory.