PSH-Coupling II: Mathematical Foundations of Time-Energy as an Invariant Bulk Volume

Important Notice:

(release date of the notice: 09.08.2026)

This preprint is outdated and will be revised. 

Abstract:

This paper (Chapter 2 of the PSH-Coupling series) provides the mathematical foundations for the Primary Symbiotic Harmonic (PSH) framework. Moving beyond the conceptual introduction of the first preprint, we present a rigorous formalization of Time-Energy as an invariant, high-density bulk volume ($V_B$). We demonstrate that temporal flow is not an inherent property of the 3+1-dimensional spacetime manifold ($\mathcal{M}$), but an emergent phenomenon resulting from a systemic energetic equilibration between $\mathcal{M}$ and the Bulk. By defining a coupling coefficient ($\kappa$) that dictates transmission efficiency, we derive the mathematical basis for gravitational time dilation as a direct consequence of coupling impedance. This framework resolves existing discrepancies in cosmological parameters and provides a non-singular approach to high-density environments.

Key Concepts:

• Invariant Bulk Volume ($V_B$): The higher-dimensional reservoir of Time-Energy.

• Coupling Coefficient ($\kappa$): The transmission efficiency of energy between Bulk and Spacetime.

• Impedance-based Time Dilation: A re-derivation of temporal shifts as a function of PSH-coupling impedance.

• Bulk-Ventil-Mechanics: Resolution of spacetime singularities (Black Holes) as high-coherence flux points.

Notice of Duality:

This work is presented simultaneously as a fundamental re-evaluation of spacetime cosmology and as a technical framework for the potential utilization of primary bulk-energy. The author acknowledges the dual nature of these findings: while they satisfy the requirements for theoretical peer-review and scientific validation, they also inherently describe the mechanisms governing high-coherence energy transfer from the bulk to the 3+1-dimensional manifold. By publishing this under a Creative Commons (CC BY-SA 4.0) license, the author explicitly renounces all proprietary claims and declares this knowledge to be part of the common heritage of the human species. Any attempt to restrict, patent, or monetize the fundamental PSH-coupling constants described herein is contrary to the intent of this disclosure and the advancement of humanity.

• Related Identifiers: Chapter 1 ( 10.5281/zenodo.20744904). 

• Lizenz:  CC BY-SA 4.0.