Quantization and Structure of Electromagnetic and Gravitational Fields

Branko Novakovic

doi:doi:10.11648/j.ajmp.20211006.11

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Quantization and Structure of Electromagnetic and Gravitational Fields

Branko Novakovic

Published in American Journal of Modern Physics (Volume 10, Issue 6)

Received: 14 October 2021 Accepted: 2 November 2021 Published: 10 November 2021

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Abstract

Following Relativistic Alpha Field Theory (RAFT) here it is started with the solution of the field parameters α and α′ in the combined electromagnetic and gravitational fields. The field parameters α and α′ are described as the functions of the particle charge, particle mass, electrical potential, gravitational potential, gravitational constant, gravitational mass and speed of the light in vacuum. The mentioned parameters are presented by using identity between the constant ratio of Planck mass and Planck length and between gravitational mass and gravitational length. It is shown that the minimal electrical length is limited by the electric charges or by the electrical particle mass. It is also confirmed that the energy conservation constant is valid both in an electromagnetic central symmetric field as well as in a gravitational field. Further, the numerical quantities of the minimal and maximal radial densities for the spherically symmetric particles are also valid in the central symmetric electromagnetic fields, as well as, in the gravitational fields. The quantization of the combination of the central symmetric electromagnetic and gravitational fields is dominant in the region of the minimal length and twice of that length. Therefore, the quantization is applied to the mentioned region, both in central symmetric electrical fields and in the combination of the central symmetric electrical and gravitational fields. It is determined that the minimal distance between two quantum states should be less than 10-35 m. The related minimal transition time can be obtained by using the transition speed equal to the speed of the light in vacuum. Calculation of the energy uncertainty, the shortest transition time, the generic state, the shortest physically possible time and the time effectively spent by the controlled system or control algorithm are presented systematically. The mentioned parameters are calculated both in the case of central symmetric electrical field, as well as, in the combination of the electrical and gravitational fields.

Published in	American Journal of Modern Physics (Volume 10, Issue 6)
DOI	10.11648/j.ajmp.20211006.11
Page(s)	118-123
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Quantum States, Minimum Transition Time, Gravitational Field, Electromagnetic Field, Planks Parameters

References

[1]	R. Howl, V. Vedral, D. Naik, M. Christodoulou, C. Rovelli, and A. Iyer, Non-Gaussianity as a Signature of a Quantum Theory of Gravity, PRX Quantun 2, 010325 (2021).
[2]	Lisboa A. C.; Piqueira J. R. C. Minimum Time in Quantum State Transitions: Dynamical Foundations and Applications, book: Research Advances in Quantum in Quantum Dynamics, Chapter 6, Publisher: InTech, Aug. (2016). DOI: 10.5772/63025.
[3]	Nanohub organization resources 5018. Time dependent perturbation. https://nanohub.org/resources/5018/
[4]	Bantikum S. M. Transition probability of particle’s Quantum State, Global Scientific Journal, GSJ: Vol. 6, Iss.-8, Aug. (2018). ISSN 2320-9186. www.globalscientificjournal.com
[5]	Ruffo A. R. One Particle Transitions and Correlation in Quantum Mechanics. Journal of Research of the National Bureau of Standards-A. Physics and Chemistry Vol. 69A, No. 2, March-April 1965.
[6]	Ruediger S. et al. A classical to quantum transition via key experiments. Eur. J. Phys. 41 055304 (2020).
[7]	Predominici-Scottle G., Palma J. Combining quantum mechanics and molecular mechanics. Same recent progresses in QM/MM methods. Advances in Quantum Chemistry, (2010).
[8]	Ohlsson T., Zhou, S. Transition probabilities in two level quantum System with PT symmetric nion Hermitian Hamiltonians. Journal of Mathematical Physics 61, 052104 (2020). https://doi.org/10.1063/5.0002958
[9]	Lopez F. A. C., Allende S., Retamal S. Sudden transition between classical to quantum decoherence in bipartite correlated qutrit system. Scientific Reports, Vol. 7, 44654 (2017).
[10]	Chen C., Chang A. M., Melloch M. Transition between quantum states in a parallel coupled double quantum dot. Physical Review Letters 17, 176801, DOI: 10.1103/PhysRevLett.92.176801.
[11]	Kreuz M. at all. A method to measure the resonance transitions between the gravitationally bound quantum states of neutrons in the GRANIT spectrometer. Nucl. Instr. Meth. A 611 (2009) 326 DOI: 10.1016/j.nima.2009.07.059.
[12]	Remmy Z at all. Finding quantum critical points with neural network quantum states. 24th European Conference on Artificial Intelligence - ECAI 2020 Santiago de Compostela, Spain (2020).
[13]	Transitions Between Energy States https://courses.physics.ucsd.edu/2017/ Spring/physics4e/transitions.pdf
[14]	Zviagin A. A. Dynamical quantum phase transition. Low Temperature Physics 42, 971 (2016). https://doi.org/10.1063/1.4969869
[15]	Md. Manirul A., Huang Wei-Ming, Zhang Wei-Min, Quantum Thermodynamics of single Particle systems. Scientific Reports, vol. 10, 13500, (2020).
[16]	Namkung M., Kwon Y. Almost minimum discrimination of N-ary weak coherent states by Jaynes – Cummings Hamiltonian Dynamics. Scientific Reports, vol. 9, 19664 (2019).
[17]	Kai Xu at. all. Probing dynamical phase transitions with a superconducting quantum simulator. Science Advances 17, vol. 6, no. 25, eaba 4935 (2017). DOI: 10.1126/sciady.aba4935.
[18]	D’Alessandro D. Introduction to Quantum Control and Dynamics CRC Press - Taylor & Francis Group, Boca Raton, FLA, 2007. Pfeifer D. “How Fast Can a Quantum State Change with Time?” Physical Review Letters. v. 70, n. 22, 3365–3368, 1993.
[19]	Grover L. K. Quantum Mechanics helps in searching for a needle in haystack. Phys. Rev. Lett. 79, 2, 325-328, (1997).
[20]	Luo S. L. How fast can a quantum state evolve into a target state? Physica D: Nonlinear Phenomena. 189, 1, 1-7, 2004.
[21]	Sakurai J. J. Modern Quantum Mechanics. Revised Edition. Addison Wesley Publishing, Reading, Mass. Company, Inc., 1994.
[22]	K. Okuyamaa K.; Sakai K. JT gravity, KdV equations and macroscopic loop operators. SISSA, Springer, Jan. 24 (2020). https://doi.org/10.1007/JHEP01(2020)156
[23]	Novakovic B. Minimum Time Transition Between Quantum States in Gravitational Field. American Journal of Modern Physics, Vol. 10, No. 2, 2021, pp. 30-35. doi: 10.11648/j.ajmp.20211002.12.
[24]	Novakovic B. Relativistic Alpha Field Theory – Part I: Determination of Field Parameters. Inter. Jour. of New Technology and Research (IJNTR) ISSN: 2454-4116, Vol.-1, Iss.-5, Sept. (2015) https://doi.org./10.31871/IJNTR.15.15
[25]	Novakovic B. Relativistic Alpha Field Theory – Part II: Does a Gravitational Field Could be Without Singularity? Inter. Jour. Of New Technology and Research (IJNTR) ISSN: 2454-4116, Vol.-1, Iss.-5, Sept. (2015) 31. https://doi.org./10.31871/IJNTR.1.5.16
[26]	Novakovic B. Relativistic Alpha Field Theory – Part III: Does Gravitational Force Becomes Positive if (GM/rc2) > 1? Inter. Jour. Of New Technology and Research (IJNTR) ISSN: 2454-4116, Vol.-1, Iss.-5, Sept. (2015) 39. https://doi.org./IJNTR.1.5.17
[27]	Novakovic B, Novakovic D, Novakovic A. New Approach to Unification of Potential Fields Using GLT Model. Int. J. of Comp. Antic. Syst. (IJCAS) (1373-5411) 11 (2002); 196-211.
[28]	Novakovic B. Connection between Planck’s and Gravitational Parameters. Inter. Jour. of New Technology and Research (IJNTR) ISSN: 2454-4116, Vol.-6, Iss.-12, Dec. (2020) 7. https://doi.org/10.31871/IJNTR.5.11.24
[29]	Novakovic B. Energy Momentum Tensor Generates Repulsive Gravitational Force. Inter. Jour. of New Technology and Research (IJNTR) ISSN: 2454-4116, Vol.-5, Iss.-11, Nov. (2019) 45. https://doi.org/1031871/IJNTR.5.11.25

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Branko Novakovic. (2021). Quantization and Structure of Electromagnetic and Gravitational Fields. American Journal of Modern Physics, 10(6), 118-123. https://doi.org/10.11648/j.ajmp.20211006.11

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Branko Novakovic. Quantization and Structure of Electromagnetic and Gravitational Fields. Am. J. Mod. Phys. 2021, 10(6), 118-123. doi: 10.11648/j.ajmp.20211006.11

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AMA Style

Branko Novakovic. Quantization and Structure of Electromagnetic and Gravitational Fields. Am J Mod Phys. 2021;10(6):118-123. doi: 10.11648/j.ajmp.20211006.11

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@article{10.11648/j.ajmp.20211006.11,
  author = {Branko Novakovic},
  title = {Quantization and Structure of Electromagnetic and Gravitational Fields},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {6},
  pages = {118-123},
  doi = {10.11648/j.ajmp.20211006.11},
  url = {https://doi.org/10.11648/j.ajmp.20211006.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211006.11},
  abstract = {Following Relativistic Alpha Field Theory (RAFT) here it is started with the solution of the field parameters α and α′ in the combined electromagnetic and gravitational fields. The field parameters α and α′ are described as the functions of the particle charge, particle mass, electrical potential, gravitational potential, gravitational constant, gravitational mass and speed of the light in vacuum. The mentioned parameters are presented by using identity between the constant ratio of Planck mass and Planck length and between gravitational mass and gravitational length. It is shown that the minimal electrical length is limited by the electric charges or by the electrical particle mass. It is also confirmed that the energy conservation constant is valid both in an electromagnetic central symmetric field as well as in a gravitational field. Further, the numerical quantities of the minimal and maximal radial densities for the spherically symmetric particles are also valid in the central symmetric electromagnetic fields, as well as, in the gravitational fields. The quantization of the combination of the central symmetric electromagnetic and gravitational fields is dominant in the region of the minimal length and twice of that length. Therefore, the quantization is applied to the mentioned region, both in central symmetric electrical fields and in the combination of the central symmetric electrical and gravitational fields. It is determined that the minimal distance between two quantum states should be less than 10-35 m. The related minimal transition time can be obtained by using the transition speed equal to the speed of the light in vacuum. Calculation of the energy uncertainty, the shortest transition time, the generic state, the shortest physically possible time and the time effectively spent by the controlled system or control algorithm are presented systematically. The mentioned parameters are calculated both in the case of central symmetric electrical field, as well as, in the combination of the electrical and gravitational fields.},
 year = {2021}
}

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TY  - JOUR
T1  - Quantization and Structure of Electromagnetic and Gravitational Fields
AU  - Branko Novakovic
Y1  - 2021/11/10
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211006.11
DO  - 10.11648/j.ajmp.20211006.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 118
EP  - 123
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20211006.11
AB  - Following Relativistic Alpha Field Theory (RAFT) here it is started with the solution of the field parameters α and α′ in the combined electromagnetic and gravitational fields. The field parameters α and α′ are described as the functions of the particle charge, particle mass, electrical potential, gravitational potential, gravitational constant, gravitational mass and speed of the light in vacuum. The mentioned parameters are presented by using identity between the constant ratio of Planck mass and Planck length and between gravitational mass and gravitational length. It is shown that the minimal electrical length is limited by the electric charges or by the electrical particle mass. It is also confirmed that the energy conservation constant is valid both in an electromagnetic central symmetric field as well as in a gravitational field. Further, the numerical quantities of the minimal and maximal radial densities for the spherically symmetric particles are also valid in the central symmetric electromagnetic fields, as well as, in the gravitational fields. The quantization of the combination of the central symmetric electromagnetic and gravitational fields is dominant in the region of the minimal length and twice of that length. Therefore, the quantization is applied to the mentioned region, both in central symmetric electrical fields and in the combination of the central symmetric electrical and gravitational fields. It is determined that the minimal distance between two quantum states should be less than 10-35 m. The related minimal transition time can be obtained by using the transition speed equal to the speed of the light in vacuum. Calculation of the energy uncertainty, the shortest transition time, the generic state, the shortest physically possible time and the time effectively spent by the controlled system or control algorithm are presented systematically. The mentioned parameters are calculated both in the case of central symmetric electrical field, as well as, in the combination of the electrical and gravitational fields.
VL  - 10
IS  - 6
ER  -

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Author Information

Branko Novakovic

Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia

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Branko Novakovic. (2021). Quantization and Structure of Electromagnetic and Gravitational Fields. American Journal of Modern Physics, 10(6), 118-123. https://doi.org/10.11648/j.ajmp.20211006.11

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Branko Novakovic. Quantization and Structure of Electromagnetic and Gravitational Fields. Am. J. Mod. Phys. 2021, 10(6), 118-123. doi: 10.11648/j.ajmp.20211006.11

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AMA Style

Branko Novakovic. Quantization and Structure of Electromagnetic and Gravitational Fields. Am J Mod Phys. 2021;10(6):118-123. doi: 10.11648/j.ajmp.20211006.11

Copy | Download

@article{10.11648/j.ajmp.20211006.11,
  author = {Branko Novakovic},
  title = {Quantization and Structure of Electromagnetic and Gravitational Fields},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {6},
  pages = {118-123},
  doi = {10.11648/j.ajmp.20211006.11},
  url = {https://doi.org/10.11648/j.ajmp.20211006.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211006.11},
  abstract = {Following Relativistic Alpha Field Theory (RAFT) here it is started with the solution of the field parameters α and α′ in the combined electromagnetic and gravitational fields. The field parameters α and α′ are described as the functions of the particle charge, particle mass, electrical potential, gravitational potential, gravitational constant, gravitational mass and speed of the light in vacuum. The mentioned parameters are presented by using identity between the constant ratio of Planck mass and Planck length and between gravitational mass and gravitational length. It is shown that the minimal electrical length is limited by the electric charges or by the electrical particle mass. It is also confirmed that the energy conservation constant is valid both in an electromagnetic central symmetric field as well as in a gravitational field. Further, the numerical quantities of the minimal and maximal radial densities for the spherically symmetric particles are also valid in the central symmetric electromagnetic fields, as well as, in the gravitational fields. The quantization of the combination of the central symmetric electromagnetic and gravitational fields is dominant in the region of the minimal length and twice of that length. Therefore, the quantization is applied to the mentioned region, both in central symmetric electrical fields and in the combination of the central symmetric electrical and gravitational fields. It is determined that the minimal distance between two quantum states should be less than 10-35 m. The related minimal transition time can be obtained by using the transition speed equal to the speed of the light in vacuum. Calculation of the energy uncertainty, the shortest transition time, the generic state, the shortest physically possible time and the time effectively spent by the controlled system or control algorithm are presented systematically. The mentioned parameters are calculated both in the case of central symmetric electrical field, as well as, in the combination of the electrical and gravitational fields.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Quantization and Structure of Electromagnetic and Gravitational Fields
AU  - Branko Novakovic
Y1  - 2021/11/10
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211006.11
DO  - 10.11648/j.ajmp.20211006.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 118
EP  - 123
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20211006.11
AB  - Following Relativistic Alpha Field Theory (RAFT) here it is started with the solution of the field parameters α and α′ in the combined electromagnetic and gravitational fields. The field parameters α and α′ are described as the functions of the particle charge, particle mass, electrical potential, gravitational potential, gravitational constant, gravitational mass and speed of the light in vacuum. The mentioned parameters are presented by using identity between the constant ratio of Planck mass and Planck length and between gravitational mass and gravitational length. It is shown that the minimal electrical length is limited by the electric charges or by the electrical particle mass. It is also confirmed that the energy conservation constant is valid both in an electromagnetic central symmetric field as well as in a gravitational field. Further, the numerical quantities of the minimal and maximal radial densities for the spherically symmetric particles are also valid in the central symmetric electromagnetic fields, as well as, in the gravitational fields. The quantization of the combination of the central symmetric electromagnetic and gravitational fields is dominant in the region of the minimal length and twice of that length. Therefore, the quantization is applied to the mentioned region, both in central symmetric electrical fields and in the combination of the central symmetric electrical and gravitational fields. It is determined that the minimal distance between two quantum states should be less than 10-35 m. The related minimal transition time can be obtained by using the transition speed equal to the speed of the light in vacuum. Calculation of the energy uncertainty, the shortest transition time, the generic state, the shortest physically possible time and the time effectively spent by the controlled system or control algorithm are presented systematically. The mentioned parameters are calculated both in the case of central symmetric electrical field, as well as, in the combination of the electrical and gravitational fields.
VL  - 10
IS  - 6
ER  -

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