Scalar Field Model Provides a Possible Bridge between General Relativity and Quantum Mechanics
- 1 Researcher at Saint Claire Scientific Research, Albuquerque, USA
Abstract
Herein is introduced a simple scalar field model derived from classical based kinetic energy, gravitational potential energy, and Special Relativity’s rest mass energy. By applying a classical orbit over the scalar field, relativistic effects are predicted. The scalar field is then applied to a classical model of the Hydrogen atom resulting in a relativistic effect equal to the binding energy of the Hydrogen atom. In addition, the model derives the fine structure constant due to the gravitational effect. The relativistic effects are then discretized in increments equal to the model’s gravitational induced constant. The discretization produces the Hydrogen atom spectral emissions and an angular momentum equal to Planck’s reduced constant. The model is not presented as a replacement for current theory, rather it is for inspection and illustration of how a simplistic model may offer a fundamental bridge between the more complex, time proven theories of General Relativity and Quantum Mechanics.
- Austin, R.W. (2017) A Classical Based Derivation of Time Dilation Providing First Order Accuracy to Schwarzschild’s Solution of Einstein’s Field Equations. Ph.D. Thesis, North Carolina Agricultural and Technical State University.
- Austin, R.W. (2017) Gravitational Time Dilation Derived from Special Relativity and Newtonian Gravitational Potential. European Scientific Journal, 13, Article No. 447. https://doi.org/10.19044/esj.2017.v13n3p447
- Schwarzschild, K. (1999) On the Gravitational Field of a Mass Point According to Einstein’s Theory.
- Giancoli, D.C. (1989) Physics for Scientists and Engineers. Vol. 1, Second Edition, Prentice Hall, Hoboken.
- CODATA (1999) NIST CODATA. National Institute of Standards and Technology. https://physics.nist.gov
- Bohr, N. (2003) The Cosmological Constant and Dark Energy. Reviews of Modern Physics, 75, 559-606. https://doi.org/10.1103/RevModPhys.75.559
- Marion, J.B. (1970) Classical Dynamics of Particles and Systems. Second Edition, Academic Press, Cambridge.
- Einstein, A. (1905) On the Electrodynamics of Moving Bodies. Annalen der Physik, 17, 891-921.
- Misner, C.W., Thorne, K.S. and Wheeler, J.A. (1970) Gravitation. W. H. Freeman and Company, New York.
- Park, R.S., Folkner, W.M., et al. (2017) Precession of Mercury’s Perihelion, American Astronomical Society. The Astronomical Journal, 153, 121. https://doi.org/10.3847/1538-3881/aa5be2
- Giancoli, D.C. (1989) Physics for Scientists and Engineers. Vol. 2, Second Edition, Prentice Hall, Hoboken.
- Thornton, S.T. and Rex, A. (2002) Modern Physics for Scientists and Engineers. Second Edition, Brooks/Cole, Pacific Grove.
- Carroll, B. and Ostlie, D. (2007) An Introduction to Modern Astrophysics. Second Edition. Pearson Addison-Wesley, Boston.
- Kramida, A., Ralchenko, Yu., Reader, J. and NIST ASD Team (2021), (2022) NIST Atomic Spectra Database (Version 5.9). National Institute of Standards and Technology, Gaithersburg, MD. https://physics.nist.gov/PhysRefData/ASD/Html/verhist.shtml
- Oxford Reference (2022) Lyman Series. Oxford Reference. https://www.oxfordreference.com/view/10.1093/oi/authority.20110803100120100