Original Research Article

Article volume = 2021 and issue = 2

Pages: 172–178

Article publication Date: November, 1, 2021

You can download PDF file of the article here: Download

Visited 71 times and downloaded 18 times

# Physics Formalism Helmholtz Matrix to Coulomb Gage

#### Rajan Iyer

Environmental Materials Theoretical Physicist, Department of Physical Mathematics Sciences Engineering Project Technologies, Engineeringinc International Operational Teknet Earth Global, Tempe, Arizona, United States of America

##### Abstract:

Iyer Markoulakis Helmholtz Hamiltonian metrics have been gauged to Coulombic Hilbert metrics, representing Gilbertian and Amperian natures of electromagnetic fields from mechanics of vortex rotational fields acting with gradient fields, typically in zero-point microblackhole general fields, extending to vacuum electromagnetic gravitational fields gauge. This ansatz general gaging helps to properly isolate field effects with physical analyses – mechanical, electric, magnetic components within the analytical processes. Vacuum gravitational fields and the flavor Higgs-Boson matter inertial gravitational fields have been thus quantified extending to stringmetrics constructs matrix showing charge asymmetry gauge metrics. Physical Analysis with applications to particle physics, Quantum ASTROPHYSICS, as well as grand unification physics have been advanced. Particle physics gauge matrix pointing to Dirac seas of electrons, monopoles with positrons, electron-positron annihilation leading to energy production, and the relativistic energy generating matter provided literature correlations. Quantum astrophysics extending gauge metrix analyzes of superluminal profile of signals velocity generating electron-positron chain like “curdling” action validates formalism with physics literature of electron-photon observed oscillatory fields configurations. Mechanism of creation of neutrino antineutrino pair orthogonal to electron positron “curdling” planes, that may lead to formation of protonic hydrogen of stars or orthogonally muon particles. These proposals will help to explain receding or fast expanding universe with the dark matter in terms of flavor metrics versus gauge associating metrics fields. Vacuum and gravitational monopoles, that are representation of compressed mass out of vortex Helmholtz decomposition fields have been interpolated to energy generation via electron positron monopole particles at cosmos extent of infinity.

##### Keywords:

Quantum, Electrons-positrons monopoles, Matrix Algebra, Amperian Gilbertian fields, Switches, Modeling.

##### References:

- [1] F. E. Browder, W. V. Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert spaces, J. Math. Anal. Appl., 20 (1967),197–228.
- [2] Y. Yao, Y. J. Cho, Y. C. Liou, R. P. Agarwal, Constructed nets with perturbations for equilibrium and fixed point problems, J. Inequal. Appl, 2014 (2014), 14 pages.
- [3] B. O’Neill, Semi-Riemannian geomerty with applications to relativity, Academic Press, London, (1983).
- [4] F. Wilczek, Physics in 100 years, Physics Today, Volume 69, Issue 4, (2016).
- [5] P. Frampton, Gauge Field Theories (3rd ed.). Wiley-VCH. (2008).
- [6] C. Becchi, Introduction to Gauge Theories, arXiv preprint hep-ph/9705211, (1997).
- [7] J.D. Jackson, From Lorenz to Coulomb and other explicit gauge transformations, American Journal of Physics 70, (2002).
- [8] G. Svetlichny, Preparation for Gauge Theory, arXiv preprint math-ph/9902027, (1999).
- [9] S. Cremonesi, A. Hanany, N. Mekareeyab and A. Zaffaronic, Coulomb branch Hilbert series and Hall-Littlewood polynomials, Journal of High Energy Physics, (2014).
- [10] E. I. Guendelman, D. Singleton, Scalar gauge fields, Journal of High Energy Physics,no. 5, 1-13, (2014).
- [11] L. Randall, New Mechanisms of Gauge-Mediated Supersymmetry Breaking, High Energy Physics, Nuclear Physics – Phenomenology Theory, Section B, 495, 1, 37-56, (1997).
- [12] E. Markoulakis, A. Konstantaras, J. Chatzakis, R. Iyer and E. Antonidakis, Real time observation of a stationary magneton, Results in Physics, 15, 102793, (2019).
- [13] R. Iyer and E. Markoulakis, Theory of a superluminous vacuum quanta as the fabric of Space, Physics & Astronomy International Journal, 5(2), 43-53, (2021).
- [14] R. Iyer, Problem Solving Vacuum Quanta Fields, International Journal of Research and Reviews in Applied Sciences, 47, Issue 1, PP. 15-25, (2021).
- [15] R. Iyer and M. Malaver, Proof Formalism General Quantum Density Commutator Matrix Physics, Physical Sciences & Biophysics Journal, 5(2), 000185, (2021).
- [16] J. Zinn-Justin and R. Guida, Gauge invariance, Scholarpedia, 3(12):8287, (2008).
- [17] Iyer, Rajan. Physics formalism Helmholtz matrix to Coulomb gage. (2021).
- [18] A. Schwarz, Topological quantum field theories, arXiv preprint hep-th/0011260, (2000).
- [19] A. K. H. Bengtsson, Structure of higher spin gauge interactions, Journal of Mathematical Physics 48, 072302, (2007).
- [20] A. K. H. Bengtsson, Towards Unifying Structures in Higher Spin Gauge Symmetry?, Symmetry, Integrability and Geometry: Methods and Applications, SIGMA 4, 013, 23 pages, (2008).
- [21] V. Fock, Z. Phys. M.C. Reed, B. Simon, Methods of Modern Mathematical Physics, Volume II”, Page 328, Academic Press (1975).
- [22] K. T. McDonald, The Helmholtz Decomposition and the Coulomb Gauge, Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, April 17, (2008).
- [23] G. Arias-Tamargo, A. Bourget, A. Pini and D. Rodríguez-Gómez, Discrete gauge theories of charge conjugation, Nuclear Physics B, Volume 946, September (2019).
- [24] E. Giorgi, The Carter tensor and the physical-space analysis in perturbations of Kerr-Newman spacetime, General Relativity and Quantum Cosmology, Mathematical Physics Analysis of PDEs, arXiv preprint arXiv:2105.14379, (2021).
- [25] D. Hafner and J-P. Nicolas, Scattering of Massless Dirac Fields by a Kerr Black Hole, Reviews in Mathematical Physics, Vol. 16, No. 01, pp. 29-123, (2004).
- [26] S. Weinberg, Lectures on Quantum Mechanics - 2nd Edition, Cambridge University Press, (2013).
- [27] K. Jones-Smith, about identifying quasi-particles using non-Hermitian quantum mechanics, pp. 1-14, using PT quantum mechanics, Philosophical Transactions Mathematical, Physical and Engineering Sciences, Vol. 371, No. 1989, Published by: Royal Society, (2013).
- [28] S. Hossenfelder, Interpretation of Quantum Field Theories with a Minimal Length Scale, Phys. Rev. D, 73, 105013, (2006).
- [29] M. D. Schwartz, Quantum Field Theory and the Standard Model, Cambridge University, (2014).
- [30] P. A. Maurice Dirac, Quantised singularities in the electrovacuum field, Proc. R. Soc. Lond.
- [31] C. M. Bender, PT symmetry, In quantum and classical physics, WORLD SCIENTIFIC PUBLISHING, (2019).
- [32] D. Halliday, R. Resnick and J. Walker: Fundamentals of Physics: Extended, 11th Edition, 1456 pages, (2018).
- [33] R. Eisbeg, Quantum Physics of Atoms, Quantum physics of atoms, molecules, solids, nuclei, and particles M, Second Edition, (1985).
- [34] V. d. Heuvel EP, On the Precession as a Cause of Pleistocene Variations of the Atlantic Ocean Water Temperatures, Geophysical Journal International, 11 (3): 323–336, (1966).
- [35] A. Berger, M. F. Loutre and J. L. Mélice, Equatorial insolation: from precession harmonics to eccentricity frequencies (PDF), Clim. Past Discuss, 2 (4): 519–533, (2006).
- [36] Hamilton, Andrew JS. General Relativity, Black Holes, and Cosmology. Unpublished. Online at http://jila. colorado. edu/ ajsh/courses/astr3740_17/texts. html (2018).
- [37] R. N. Iyer, Absolute Genesis Fire Fifth Dimension Mathematical Physics. Engineeringinc. com International Corporation (2000).
- [38] C. M. Bender, PT Symmetry: In Quantum and Classical Physics, WORLD SCIENTIFIC PUBLISHING, (2019).
- [39] D. Kaiser, Physics and Feynman’s Diagrams: In the hands of a postwar generation, a tool intended to lead quantum electrodynamics out of a decades-long morass helped transform physics. American Scientist 93, no. 2, 156-165 (2005).
- [40] C. M. Bender, PT Symmetry: In Quantum and Classical Physics, WORLD SCIENTIFIC PUBLISHING, (2019).
- [41] Iyer, Rajan. Physics formalism Helmholtz matrix to Coulomb gage.(2021).
- [42] K. A. Michalski and M. M. Mustafa. On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2218: 20180288 (2018).
- [43] Passarino, Giampiero, Christian Sturm, and Sandro Uccirati. Higgs pseudo-observables, second Riemann sheet and all that. Nuclear Physics B 834, no. 1-2: 77-115 (2010).
- [44] M. Malaver, H. Daei Kasmaei, R. Iyer, Sh. Sadhukhan and A. Kar. A theoretical model of dark energy stars in Einstein-Gauss-Bonnet gravity. arXiv preprint arXiv:2106.09520 (2021).
- [45] I. M. Benn, T. Dereli and R. W. Tucker.Gravitational monopoles with classical torsion. Journal of Physics A: Mathematical and General 13, no. 10: L359 (1980).
- [46] Cho, Y. M. Theory of gravitational monopole. In Proceedings of the XXVth International Conference on High Energy Physics, (1990).
- [47] L. D.Lantsman and V. N. Pervushin. Monopole vacuum in non-Abelian theories. Physics of Atomic Nuclei 66, no. 7: 1384-1394 (2003).
- [48] S. Tesh, Flash Physics: Sandra Faber wins Gruber prize, transforming magnetic monopoles, vacuum scattering revealed. COSMOLOGY NEWS, https://physicsworld. com/a/flash-physicssandra-faber-wins-gruber-prizetransforming- magnetic-monopoles-vacuum-scattering-revealed. Sarah Tesh is featuring editor of Physics World

##### Cite this article as:

- Rajan Iyer, Physics Formalism Helmholtz Matrix to Coulomb Gage, Communications in Combinatorics, Cryptography & Computer Science, 2021(2), PP.172–178, 2021
- Export citation to BibTeX