Gravitational Resonance and Informational Curvature in the Hawkins Omniversal Theory: A Multidimensional Extension of the Einstein Field Equations

Gravitational Resonance and Informational Curvature in the Hawkins Omniversal Theory presents an extended formulation of gravity derived from the foundational principles of the Hawkins Omniversal Theory (HOT). This work builds upon and formally generalizes the original HOT-modified Einstein field equation by integrating resonance amplification, fractal harmonic curvature, temporal coherence decay, and extra-dimensional coupling into the gravitational framework.

The HOT-modified gravitational equation introduced in this publication offers a mathematically rigorous and physically testable extension to general relativity. It models gravity as an emergent phenomenon resulting from vibrational coherence gradients within an informational and omnidimensional space-time substrate. By doing so, the equation resolves key theoretical limitations in classical and relativistic models, including unexplained gravitational lensing behavior, galactic rotation curve anomalies, and the weak-field gravitational discrepancy.

This paper includes the following structured components:

• A reformulated gravitational field equation including resonance-amplified stress-energy, fractal tensor corrections, and dimensional interaction terms.

• A step-by-step derivation from the original HOT scalar-based model to the fully covariant tensor formulation.

• Detailed definitions and physical interpretations of all added terms.

• Analysis of how space-time flow and fractal harmonics are modulated by resonance-adjusted time.

• Experimental predictions for verifying the theory via gravitational lensing, wave pattern distortion, black hole radiation, and microgravity coherence studies.

• Three appendices addressing; mathematical derivation (Appendix A), coordinate system assumptions and resonance time (Appendix B), and the coupling between time, curvature, and fractal harmonics (Appendix C).

The revised gravitational model maintains full compatibility with general relativity in classical limits while introducing new, falsifiable predictions that connect vibrational physics, informational structure, and space-time geometry. This document serves as the foundational reference for HOT-based gravitational research and its empirical testing across astrophysical and quantum domains.

This document serves as an initial public release, providing structured notes and explanations of Gravitational Resonance and Informational Curvature in the Hawkins Omniversal Theory. While it is not yet formatted as a formal preprint, it ensures the immediate availability of HOT’s core advancements for scientific review and discussion. A full preprint, Gravitational Resonance and Informational Curvature in the Hawkins Omniversal Theory, will be published separately, incorporating a fully structured presentation and formal references. The absence of citations in this release reflects the preliminary nature of the document, with comprehensive sourcing and academic integration to be included in future publications.

Version History:

• Version 1.0 (DOI: 10.5281/zenodo.15086468) – Initial release of Gravitational Resonance and Informational Curvature in the Hawkins Omniversal Theory

For inquiries, discussions, or collaboration opportunities, please use the appropriate contact below:

contact@hawkinsomniversal.com – General inquiries regarding HOT and scientific discussions.

collab@hawkinsomniversal.com – For research collaborations, academic partnerships, and joint projects.

© 2025 Michael James Hawkins, Hawkins Omniversal LLC. This work is licensed under the GNU General Public License v3.0 (GPL-3.0). Full license text available at: https://www.gnu.org/licenses/gpl-3.0.en.html