THE LAW OF DYNAMIC VACUUM RESONANCE: SYNTHESIS OF TOROIDAL EVERSION AND COMPLEX QUANTUM ROTATOR AS THE FINAL GEOMETRIC MODEL OF THE SPATIAL MEDIUM
Abstract
This paper finalizes the author's research cycle on the mathematical model of vacuum resonance. The author transitions from the initial static logarithmic representation of fundamental coefficients to a dynamic topological model. By integrating the structure of prime numbers, the principle of toroidal eversion, and Euler's complex exponent, the original equation is transformed into a concise dynamic form of the complex vacuum wavefunction rotator: Psi(tau) = V0 * e^(i * P * tau). Introducing strict constraints, such as the minimization of topological energy and the exclusion of composite numbers, completely resolves the issue of redundant mathematical overfitting. The model is validated through a blind test generating fundamental spatial constants (Pi and the Golden Ratio) without manual parameter tuning and is cross-referenced with the fundamental equations of quantum mechanics, electrodynamics, and general relativity. The boundaries of the equation are strictly defined as the internal matrix of the vacuum medium, and the final spectrum of predictions is established.
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BibTeX
@misc{saltykov2026dynamic,
title = {{THE LAW OF DYNAMIC VACUUM RESONANCE: SYNTHESIS OF TOROIDAL EVERSION AND COMPLEX QUANTUM ROTATOR AS THE FINAL GEOMETRIC MODEL OF THE SPATIAL MEDIUM}},
author = {Saltykov},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23510524},
url = {https://zenodo.org/records/23510524},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - THE LAW OF DYNAMIC VACUUM RESONANCE: SYNTHESIS OF TOROIDAL EVERSION AND COMPLEX QUANTUM ROTATOR AS THE FINAL GEOMETRIC MODEL OF THE SPATIAL MEDIUM
AU - Saltykov
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23510524
UR - https://zenodo.org/records/23510524
AB - This paper finalizes the author's research cycle on the mathematical model of vacuum resonance. The author transitions from the initial static logarithmic representation of fundamental coefficients to a dynamic topological model. By integrating the structure of prime numbers, the principle of toroidal eversion, and Euler's complex exponent, the original equation is transformed into a concise dynamic form of the complex vacuum wavefunction rotator: Psi(tau) = V0 * e^(i * P * tau). Introducing strict constraints, such as the minimization of topological energy and the exclusion of composite numbers, completely resolves the issue of redundant mathematical overfitting. The model is validated through a blind test generating fundamental spatial constants (Pi and the Golden Ratio) without manual parameter tuning and is cross-referenced with the fundamental equations of quantum mechanics, electrodynamics, and general relativity. The boundaries of the equation are strictly defined as the internal matrix of the vacuum medium, and the final spectrum of predictions is established.
ER -