Completing the Standard Model with Gravity by General Relativizing Quantum Physics (RQP) (Coupling Spin-2 Gravitons with Spin-0 Particles to Generate Higgs Mass)

Affiliation(s)

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

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

ABSTRACT

After a straightforward general relativistic calculation on a modified flat-spacetime metric (developed from the fluctuating vacuum energy interacting with a graviton field), a pair of n-valued covariant and contravariant energy momentum tensors emerged analogous to quantized raising and lower operators. Detaching these operators from the general relativistic field equations, and then transporting them to act on extreme spacetimes, these operators were able to generate fundamental particle boson masses. In particular, the operators precisely generated Higgs mass. Then by applying a consistency approach to the gravitational field equations—similar to how Maxwell applied to the electromagnetic ones—it allowed for the coupling of spin-to-mass, further restricting the particle mass to be in precise agreement with CODATA experimental values. Since this is a massless field approach integrated discretely with a massive one, it overcomes various renormalizing difficulties; moreover it solves the mass hierarchal problem of the Standard Model of particle physics, and generates its spin and therefore shows quantum physics to be a subset of General Relativity, just as Einstein had first imagined.

After a straightforward general relativistic calculation on a modified flat-spacetime metric (developed from the fluctuating vacuum energy interacting with a graviton field), a pair of n-valued covariant and contravariant energy momentum tensors emerged analogous to quantized raising and lower operators. Detaching these operators from the general relativistic field equations, and then transporting them to act on extreme spacetimes, these operators were able to generate fundamental particle boson masses. In particular, the operators precisely generated Higgs mass. Then by applying a consistency approach to the gravitational field equations—similar to how Maxwell applied to the electromagnetic ones—it allowed for the coupling of spin-to-mass, further restricting the particle mass to be in precise agreement with CODATA experimental values. Since this is a massless field approach integrated discretely with a massive one, it overcomes various renormalizing difficulties; moreover it solves the mass hierarchal problem of the Standard Model of particle physics, and generates its spin and therefore shows quantum physics to be a subset of General Relativity, just as Einstein had first imagined.

KEYWORDS

Standard Model Particle Physics, General Relativity, Geometric Particles, Higgs Mass, Relativized Quantum Physics, RQP, Graviton, Gravitational Lagrangian, Consistency Formulation for Gravity, Mass Hierarchal Problem

Standard Model Particle Physics, General Relativity, Geometric Particles, Higgs Mass, Relativized Quantum Physics, RQP, Graviton, Gravitational Lagrangian, Consistency Formulation for Gravity, Mass Hierarchal Problem

Cite this paper

Christensen Jr., W. (2015) Completing the Standard Model with Gravity by General Relativizing Quantum Physics (RQP) (Coupling Spin-2 Gravitons with Spin-0 Particles to Generate Higgs Mass).*Journal of Modern Physics*, **6**, 1969-1985. doi: 10.4236/jmp.2015.613203.

Christensen Jr., W. (2015) Completing the Standard Model with Gravity by General Relativizing Quantum Physics (RQP) (Coupling Spin-2 Gravitons with Spin-0 Particles to Generate Higgs Mass).

References

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http://dx.doi.org/10.1098/rspa.1939.0140

[2] Rosen, N. (1940) General Relativity and Flat Space I. Physical Review, 57, 147-150.

http://dx.doi.org/10.1103/PhysRev.57.147

[3] Gupta, S.N. (1952) Quantization of Einstein’s Gravitational Field: Linear Approximation. Proceedings of the Physical Society, Section A, 65, 161-169.

http://dx.doi.org/10.1088/0370-1298/65/3/301

[4] Gupta, S.N. (1954) Gravitation and Electromagnetism. Physical Review, 96, 1683-1685.

http://dx.doi.org/10.1103/PhysRev.96.1683

[5] Fang, J. and Fronsdal, C. (1979) Deformations of Gauge Groups. Gravitation. Journal of Mathematical Physics, 20, 2264.

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

[6] Pitts, J.B. (2006) Constrained Dynamics of Universally Coupled Massive Spin-2-Spin 0 Gravities. Journal of Physics: Conference Series, 33, 270-284.

http://dx.doi.org/10.1088/1742-6596/33/1/031

[7] Padmanabhan, T. (2008) From Gravitons to Gravity: Myths and Reality. International Journal of Modern Physics D, 17, 367.

http://dx.doi.org/10.1142/S0218271808012085

[8] Bizdedea, C., Cioroianu, E.M., Danehkar, A., Iordache, M., Saliu, S.O. and Sararu, S.C. (2009) Consistent Interactions of Dual Linearized Gravity in D = 5: Couplings with a BF Topological Model. The European Physical Journal C, 63, 491-519.

http://dx.doi.org/10.1140/epjc/s10052-009-1105-0

[9] Butcher, L.M. (2009) Bootstrapping Gravity: A Consistent Approach to Energy Momentum Self-Coupling. Physical Review D, 80, 084014.

http://dx.doi.org/10.1103/physrevd.80.084014

[10] Takook, M.V., et al. (2010) Conformal Linear Gravity in de Sitter Universe. Journal of Mathematical Physics, 51, Article ID: 032503.

http://dx.doi.org/10.1063/1.3321581

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

[12] Fang, J., Christensen, W.J. and Nakashima, M.M. (1996) A Generalized Consistency Condition for Massless Fields. Letters in Mathematical Physics, 38, 213-216.

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

[13] Christensen, W.J. (2015) Relativized Quantum Physics Generating N-Valued Coulomb Force and Atomic Hydrogen Energy Spectrum. Journal of Modern Physics, 6, 194-200.

http://dx.doi.org/10.4236/jmp.2015.63025

[14] Interview with David Bohm at the Niels Bohr Institute in Copenhagen, 1989.

[15] Lehmkuhl, D. (2013) Talk at MCMP. Einstein’s Approach to Quantum Mechanics.

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

[16] Christensen Jr., W.J. (2015) Einstein’s Gravitational Field Approach to Dark Matter and Dark Energy. Journal of Modern Physics, 6, 1421-1439.

http://dx.doi.org/10.4236/jmp.2015.610147

[17] Goldstein, H., Poole, C. and Safko, J. (2002) Classical Mechanics. Addison Wesley, Boston, 250.

[18] Marion, J.B. and Thornton, S.T. (1988) Classical Dynamics of Particles and Systems. 3rd Edition, HBJ, New York, 458.

[19] Quick, R.M. and Miller, H.G. (1985) Comment on “Simple Procedure to Calculate Accurate Energy Levels of a Double-Well Anharmonic Oscillator”. Physical Review D, 31, 2682.

http://dx.doi.org/10.1103/PhysRevD.31.2682

[20] Christensen, W.J. (2007) Normal Coordinates Describing Coupled Oscillations in the Gravitational Field. General Relativity and Gravitation, 39, 105-110.

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

[21] Mohr, P.J., Taylor, B.N. and Newell, D.B. (2012) CODATA Recommended Values of the Fundamental Physical Constants: 2010. Reviews of Modern Physics, 84, 1527.

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

[22] The Atlas Collaboration (2012) Observation of a New Particle in the Search for the Standard Model Higgs Boson with the ATLAS Detector at the LHC. Physics Letters B, 716, 1-29.

http://dx.doi.org/10.1016/j.physletb.2012.08.020

[23] Feynman, R. (1962-63) Lectures on Gravitation. California Institute of Technology, Pasadena.

[24] Fang, J. and Fronsdal, C. (1978) Massless Fields with Half-Integral Spin. Physical Review D, 18, 3630.

http://dx.doi.org/10.1103/PhysRevD.18.3630

[25] Ward, J.C. (1950) An Identity in Quantum Electrodynamics. Physical Review, 78, 182.

http://dx.doi.org/10.1103/PhysRev.78.182

[26] Yoneya, T. (1974) Connection of Dual Models to Electrodynamics and Gravidynamics. Progress of Theoretical Physics, 51, 1907-1920.

http://dx.doi.org/10.1143/PTP.51.1907

[27] Callan Jr., C.G., Coleman, S. and Jackiw, R. (1970) A New Improved Energy-Momentum Tensor. Annals of Physics, 59, 42-73.

http://dx.doi.org/10.1016/0003-4916(70)90394-5

[1] Fierz, M. and W. Pauli, W. (1939) On Relativistic Wave Equations for Particles of Arbitrary Spin in an Electromagnetic Field. Proceedings of the Royal Society of London A, 173, 211.

http://dx.doi.org/10.1098/rspa.1939.0140

[2] Rosen, N. (1940) General Relativity and Flat Space I. Physical Review, 57, 147-150.

http://dx.doi.org/10.1103/PhysRev.57.147

[3] Gupta, S.N. (1952) Quantization of Einstein’s Gravitational Field: Linear Approximation. Proceedings of the Physical Society, Section A, 65, 161-169.

http://dx.doi.org/10.1088/0370-1298/65/3/301

[4] Gupta, S.N. (1954) Gravitation and Electromagnetism. Physical Review, 96, 1683-1685.

http://dx.doi.org/10.1103/PhysRev.96.1683

[5] Fang, J. and Fronsdal, C. (1979) Deformations of Gauge Groups. Gravitation. Journal of Mathematical Physics, 20, 2264.

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

[6] Pitts, J.B. (2006) Constrained Dynamics of Universally Coupled Massive Spin-2-Spin 0 Gravities. Journal of Physics: Conference Series, 33, 270-284.

http://dx.doi.org/10.1088/1742-6596/33/1/031

[7] Padmanabhan, T. (2008) From Gravitons to Gravity: Myths and Reality. International Journal of Modern Physics D, 17, 367.

http://dx.doi.org/10.1142/S0218271808012085

[8] Bizdedea, C., Cioroianu, E.M., Danehkar, A., Iordache, M., Saliu, S.O. and Sararu, S.C. (2009) Consistent Interactions of Dual Linearized Gravity in D = 5: Couplings with a BF Topological Model. The European Physical Journal C, 63, 491-519.

http://dx.doi.org/10.1140/epjc/s10052-009-1105-0

[9] Butcher, L.M. (2009) Bootstrapping Gravity: A Consistent Approach to Energy Momentum Self-Coupling. Physical Review D, 80, 084014.

http://dx.doi.org/10.1103/physrevd.80.084014

[10] Takook, M.V., et al. (2010) Conformal Linear Gravity in de Sitter Universe. Journal of Mathematical Physics, 51, Article ID: 032503.

http://dx.doi.org/10.1063/1.3321581

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

[12] Fang, J., Christensen, W.J. and Nakashima, M.M. (1996) A Generalized Consistency Condition for Massless Fields. Letters in Mathematical Physics, 38, 213-216.

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

[13] Christensen, W.J. (2015) Relativized Quantum Physics Generating N-Valued Coulomb Force and Atomic Hydrogen Energy Spectrum. Journal of Modern Physics, 6, 194-200.

http://dx.doi.org/10.4236/jmp.2015.63025

[14] Interview with David Bohm at the Niels Bohr Institute in Copenhagen, 1989.

[15] Lehmkuhl, D. (2013) Talk at MCMP. Einstein’s Approach to Quantum Mechanics.

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

[16] Christensen Jr., W.J. (2015) Einstein’s Gravitational Field Approach to Dark Matter and Dark Energy. Journal of Modern Physics, 6, 1421-1439.

http://dx.doi.org/10.4236/jmp.2015.610147

[17] Goldstein, H., Poole, C. and Safko, J. (2002) Classical Mechanics. Addison Wesley, Boston, 250.

[18] Marion, J.B. and Thornton, S.T. (1988) Classical Dynamics of Particles and Systems. 3rd Edition, HBJ, New York, 458.

[19] Quick, R.M. and Miller, H.G. (1985) Comment on “Simple Procedure to Calculate Accurate Energy Levels of a Double-Well Anharmonic Oscillator”. Physical Review D, 31, 2682.

http://dx.doi.org/10.1103/PhysRevD.31.2682

[20] Christensen, W.J. (2007) Normal Coordinates Describing Coupled Oscillations in the Gravitational Field. General Relativity and Gravitation, 39, 105-110.

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

[21] Mohr, P.J., Taylor, B.N. and Newell, D.B. (2012) CODATA Recommended Values of the Fundamental Physical Constants: 2010. Reviews of Modern Physics, 84, 1527.

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

[22] The Atlas Collaboration (2012) Observation of a New Particle in the Search for the Standard Model Higgs Boson with the ATLAS Detector at the LHC. Physics Letters B, 716, 1-29.

http://dx.doi.org/10.1016/j.physletb.2012.08.020

[23] Feynman, R. (1962-63) Lectures on Gravitation. California Institute of Technology, Pasadena.

[24] Fang, J. and Fronsdal, C. (1978) Massless Fields with Half-Integral Spin. Physical Review D, 18, 3630.

http://dx.doi.org/10.1103/PhysRevD.18.3630

[25] Ward, J.C. (1950) An Identity in Quantum Electrodynamics. Physical Review, 78, 182.

http://dx.doi.org/10.1103/PhysRev.78.182

[26] Yoneya, T. (1974) Connection of Dual Models to Electrodynamics and Gravidynamics. Progress of Theoretical Physics, 51, 1907-1920.

http://dx.doi.org/10.1143/PTP.51.1907

[27] Callan Jr., C.G., Coleman, S. and Jackiw, R. (1970) A New Improved Energy-Momentum Tensor. Annals of Physics, 59, 42-73.

http://dx.doi.org/10.1016/0003-4916(70)90394-5