A Hidden Variable Model of Hydrogen Energy Spectra

International Journal of Applied Physics

© 2021 by SSRG - IJAP Journal

Volume 8 Issue 1

Year of Publication : 2021

Authors : Gianpaolo Bei

10.14445/23500301/IJAP-V8I1P107

How to Cite?

Gianpaolo Bei, "A Hidden Variable Model of Hydrogen Energy Spectra," SSRG International Journal of Applied Physics, vol. 8,  no. 1, pp. 44-46, 2021. Crossref, https://doi.org/10.14445/23500301/IJAP-V8I1P107

Abstract:

We propose a simple deterministic model of hydrogen energy spectra based on the hypothesis that atomic spectra have space-time dependent energy, which depends on a hidden effective vacuum index of refraction. The electromagnetic energy of the atomic states is supposed to be equal to the spacetime-dependent energy shift of the electron rest mass induced by symmetry breaking vacuum fluctuations. We propose an approach by which it is possible to recover Bohr stationary atomic energy spectrum averaging on particular discrete surfaces the hidden time-dependent electron energy.

Keywords:

Hidden variable model, Hydrogen energy spectra, Time-dependent energy states, Vacuum index refraction.

References:

[1] L. De Broglie, Interpretation of Quantum Mechanics by the double solution theory, Ann. Fond. Louis Broglie 12(4) 1987.
[2] D. Bohm, A suggested interpretation of the quantum in terms of hidden variables I, Phys. Rew. 85 ( 1952) 166-179.
[3] J. Von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, (1932).
[4] J.S.Bell, On the Einstein- Podolsky- Rosen paradox, Physics 1, (1964) 195-200.
[5] K. Hess, H. De Raedt, A. Khrennikov, Special Issue: Ever new Loopholes in Bell’s Argument and Experimental Tests, Open Phys. 15 (2017) 572-576.
[6] G.‘t Hooft, Deterministic Quantum Mechanics: the Mathematical
Equation, Front. Phys., 29(2020).
[7] A. K. Singal, Compatibility of Larmor’s formula with radiation reaction for an accelerated charge, Found. Phys. 46, (2016), 554-574.
[8] L. de la Pena, A. M. Cetto, A. Valdés-Hernandez, How fast is a quantum jump?, Physics Letters A, Volume 384, 34(2020).
[9] N. Sotina, Causal Interpretation of quantum mechanics: The Schrodinger equation as a condition of stability, J. Phys.: Conf. Ser. 1251, (2019).
[10] H. White, P. Bailey, J. Lawrence, J. George, J. Vera, A discussion on a dynamic vacuum model: Derivation of Helmholtz equation from Schrodinger equation, Physics Open 1, (2019).
[11] L. de la Pena, A. M. Cetto and A. Valdés-Hernandes Connecting Two Stocastic Theories that lead to Quantum Mechanics, Front. Phys. 12 May 2020 doi:10.3389.
[12] S. Lang, R. Schutzhold, W.G. Unruh, Quantum radiation in dielectric media with dispersion and dissipation, Phys. Rew. D 102, (2020) 125020.