Relativized Quantum Physics Generating *N*-Valued Coulomb Force and Atomic Hydrogen Energy Spectrum

Affiliation(s)

^{1}
Department of Physics and Astronomy, Cal Poly Pomona University, Pomona, USA.

^{2}
Department of Physics, Cal State Fullerton, Fullerton, USA.

ABSTRACT

Though not well-known, Einstein endeavored much of his life to general-relativize quantum mechanics, (rather than quantizing gravity). Albeit he did not succeed, his legacy lives on. In this paper, we begin with the general relativistic field equations describing flat spacetime, but stimulated by vacuum energy fluctuations. In our precursor paper, after straightforward general relativistic calculations, the resulting covariant and contravariant energy-momentum tensors were identified as*n*-valued operators describing graviton
excitation. From these two operators, we were able to generate all three boson
masses (including the Higgs mass)
in precise agreement as reported in the 2010 CODATA (NIST); moreover local,
as-well-as large-scale, accelerated spacetimes were shown to naturally occur
from this general relativized quantum physics approach (RQP). In this paper,
applying the same approach, we produce an n-valued Coulombs Force Law leading
to the energy spectrum for atomic hydrogen, without assuming quantized atomic
radii, velocity and momentum, as Bohr did.

Though not well-known, Einstein endeavored much of his life to general-relativize quantum mechanics, (rather than quantizing gravity). Albeit he did not succeed, his legacy lives on. In this paper, we begin with the general relativistic field equations describing flat spacetime, but stimulated by vacuum energy fluctuations. In our precursor paper, after straightforward general relativistic calculations, the resulting covariant and contravariant energy-momentum tensors were identified as

KEYWORDS

General Relativity, General Relativizing Quantum Mechanics, Fundamental Constants, Coulombs Force Law, Atomic Hydrogen Energy States, Bohr Radius, Higgs Mass, Bosons, Mass Hierarchy, Rydberg Constant, Hawking Radiation

General Relativity, General Relativizing Quantum Mechanics, Fundamental Constants, Coulombs Force Law, Atomic Hydrogen Energy States, Bohr Radius, Higgs Mass, Bosons, Mass Hierarchy, Rydberg Constant, Hawking Radiation

Cite this paper

Christensen Jr., W. (2015) Relativized Quantum Physics Generating*N*-Valued Coulomb Force and Atomic Hydrogen Energy Spectrum. *Journal of Modern Physics*, **6**, 194-200. doi: 10.4236/jmp.2015.63025.

Christensen Jr., W. (2015) Relativized Quantum Physics Generating

References

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[2] Lehmkuhl, D. Einstein’s Approach to Quantum Mechanics. Youtube.

http://www.youtube.com/watch?v=zbsbc0MfdlE

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http://dx.doi.org/10.1007/s10714-006-0360-8

[4] Mohr, P.J., Taylor, B.N. and Newell, D.B. (2012) Reviews of Modern Physics, 84, 1527-1605.

http://dx.doi.org/10.1103/RevModPhys.84.1527

[5] Christensen, W.J. (2014) Manifestation of Dark Energy, Dark Matter, and Planck’s Constant Arising from Four Graviton Characteristics. Journal of Gravitation and Cosmology.

[6] Fang, J., Christensen, W.J. and Nakashima, M.M. (1996) Letters in Mathematical Physics, 38, 213-216.

http://dx.doi.org/10.1007/BF00398322

[7] Fang, J. and Fronsdal, C. (1979) Journal of Mathematical Physics, 20, 2264.

http://dx.doi.org/10.1063/1.524007

[8] Feynman, R. (1962-1963) Lectures on Gravitation. California Institute of Technology.

[9] Huggins, E.R. (1962) Quantum Mechanics of the Interaction of Gravity with Electrons: Theory of Spin-Two Field Coupled to Energy. Dissertation Elisha R. Huggins. California Institute of Technology, Pasadena.

[10] Mohr, P.J., Taylor, B.N. and Newell, D.B. (2012) Reviews of Modern Physics, 84, 1527-1605.

http://dx.doi.org/10.1103/RevModPhys.84.1527

[11] Christensen Jr., W.J. (2014) Manifestation of Dark Energy, Dark Matter, and Planck’s Constant Arising from Four Graviton Characteristics. In: Melnikov, V., Gravitation and Cosmology.

[12] Jentschura, U.D. (2011) Annals of Physics, 326, 516-533.

http://dx.doi.org/10.1016/j.aop.2010.11.011

[13] Carroll, J.D., Thomas, A.W., Rafelski, J. and Miller, G.A. (2011) The Radius of the Proton: Size Does Matter. T(r)opical QCD II Workshop. AIP Conference Proceedings, 1354, 25-31.

[14] Karshenboim, S.G. (2005) Physics Reports, 422, 1-63.

http://dx.doi.org/10.1016/j.physrep.2005.08.008

[15] Spavieri, G., Gillies, G.T. and Rodriguez, M. (2004) Metrologia, 41, S159-S170.

http://dx.doi.org/10.1088/0026-1394/41/5/S06

[16] Mersini-Houghton, L. (2014) Physics Letters B, 738, 61-67.

[1] Christensen, W.J. (2015) General Relativizing Quantum Mechanics (N-Valued Boson Mass). Gravity Research Foundation.

[2] Lehmkuhl, D. Einstein’s Approach to Quantum Mechanics. Youtube.

http://www.youtube.com/watch?v=zbsbc0MfdlE

[3] Christensen, W.J. (2007) GERG, 39, 105-110.

http://dx.doi.org/10.1007/s10714-006-0360-8

[4] Mohr, P.J., Taylor, B.N. and Newell, D.B. (2012) Reviews of Modern Physics, 84, 1527-1605.

http://dx.doi.org/10.1103/RevModPhys.84.1527

[5] Christensen, W.J. (2014) Manifestation of Dark Energy, Dark Matter, and Planck’s Constant Arising from Four Graviton Characteristics. Journal of Gravitation and Cosmology.

[6] Fang, J., Christensen, W.J. and Nakashima, M.M. (1996) Letters in Mathematical Physics, 38, 213-216.

http://dx.doi.org/10.1007/BF00398322

[7] Fang, J. and Fronsdal, C. (1979) Journal of Mathematical Physics, 20, 2264.

http://dx.doi.org/10.1063/1.524007

[8] Feynman, R. (1962-1963) Lectures on Gravitation. California Institute of Technology.

[9] Huggins, E.R. (1962) Quantum Mechanics of the Interaction of Gravity with Electrons: Theory of Spin-Two Field Coupled to Energy. Dissertation Elisha R. Huggins. California Institute of Technology, Pasadena.

[10] Mohr, P.J., Taylor, B.N. and Newell, D.B. (2012) Reviews of Modern Physics, 84, 1527-1605.

http://dx.doi.org/10.1103/RevModPhys.84.1527

[11] Christensen Jr., W.J. (2014) Manifestation of Dark Energy, Dark Matter, and Planck’s Constant Arising from Four Graviton Characteristics. In: Melnikov, V., Gravitation and Cosmology.

[12] Jentschura, U.D. (2011) Annals of Physics, 326, 516-533.

http://dx.doi.org/10.1016/j.aop.2010.11.011

[13] Carroll, J.D., Thomas, A.W., Rafelski, J. and Miller, G.A. (2011) The Radius of the Proton: Size Does Matter. T(r)opical QCD II Workshop. AIP Conference Proceedings, 1354, 25-31.

[14] Karshenboim, S.G. (2005) Physics Reports, 422, 1-63.

http://dx.doi.org/10.1016/j.physrep.2005.08.008

[15] Spavieri, G., Gillies, G.T. and Rodriguez, M. (2004) Metrologia, 41, S159-S170.

http://dx.doi.org/10.1088/0026-1394/41/5/S06

[16] Mersini-Houghton, L. (2014) Physics Letters B, 738, 61-67.