Golden Ratio Geometry and the Fine-Structure Constant
DOI:
https://doi.org/10.24297/jap.v16i1.8469Keywords:
Fine-Structure Constant, Fundamental Constants, History of Physics, History of Mathematics, Golden Ratio, Quartic EquationAbstract
The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force, and the force of gravitation.
Downloads
References
Rigden, J.S. Hydrogen: The Essential Element, Cambridge, MA: Harvard University Press, 2003, 55.
Sommerfeld, A. Atomic Structure and Spectral Lines, New York, NY: Dutton, 1934.
Sherbon, M.A. “Fine-structure Constant from Sommerfeld to Feynman,” Journal of Advances in Physics, 16, 1, 335-343 (2019).
Kinoshita, T. Quantum Electrodynamics, Singapore: World Scientific, 1990, 3.
DuMond, J.W.M. “The Present Key Importance of the Fine Structure Constant, α, to a Better Knowledge of All the Fundamental Physical Constants,” Journal for Nature Research, A 21, 1-2, 70-79 (1966).
Pauli, W., Enz, C.P. & Meyenn, K. Writings on Physics and Philosophy, Berlin: Springer, 1994.
Sherbon, M.A. “Wolfgang Pauli, and the Fine-Structure Constant,” Journal of Science, 2, 3, 148-154 (2012).
Feynman, R.P. QED: The Strange Theory of Light and Matter, Princeton, NJ: Princeton University Press, 1985, 129.
Schoch, R.M. & McNally, R.A. Pyramid Quest: Secrets of the Great Pyramid and the Dawn of Civilization, New York, NY: Jeremy P. Tarcher/Penguin, 2005, 168.
Champoux, P.W. & Buehler, W.S. Gaia Matrix: Arkhom and the Geometries of Destiny in the North American Landscape, Washington, MA: Franklin Media, 1999, 200.
Sherbon, M.A. “Fundamental Nature of the Fine-Structure Constant,” International Journal of Physical Research, 2, 1, 1-9 (2014).
Totland, H. “Quartic Polynomials and the Golden Ratio,” Mathematics Magazine, 82, 3, 197-201 (2009).
Gabrielse, G., Fayer, S.E., Myers, T.G. & Fan, X. “Towards an Improved Test of the Standard Model’s Most Precise Prediction,” Atoms, 7, 2, 45 (2019).
Aoyama, T., Kinoshita, T. & Nio, M. “Theory of the Anomalous Magnetic Moment of the Electron,” Atoms, 7, 1, 28 (2019).
Sherbon, M.A. “Fine-Structure Constant from Golden Ratio Geometry,” International Journal of Mathematics and Physical Sciences Research, 5, 2, 89-100 (2018).
Beard, R.S. “The Fibonacci Drawing Board Design of the Great Pyramid of Gizeh,” The Fibonacci Quarterly, 6, 85-87 (1968).
Pecci, E.F. The Great Pyramid: A Temple of Created Life, Walnut Creek, CA: Pavior Publishing, 2014, 3.
Anon. “Tengri 137,” Wikia. https://tengri137.fandom.com/wiki/Tengri_137_Translation (2016).
Gin, J. “Fundamental Pattern and Consciousness,” Cosmos and History, 12, 2, 99-113 (2016).
Pecci, E.F. The Sacred Geometry of the Great Pyramid, Walnut Creek, CA: Pavior Publishing, 2010, 28.
Plummer, L.G. The Mathematics of the Cosmic Mind: A Study in Mathematical Symbolism, Wheaton, IL: Theosophical Publishing House, 1970, 17.
Plummer, L.G. By the Holy Tetraktys!: Symbol and Reality in Man and Nature, San Diego, CA: Point Loma Publications, 1982.
Hall, M.P. The Secret Teachings of All Ages, Mineola, NY: Dover Publications, 2010, 171.
Marvell, L. The Physics of Transfigured Light: The Imaginal Realm and the Hermetic Foundations of Science, Rochester, VT: Inner Traditions, 2016, 231-232.
Miller, R.G. Pyramid Truth Gateway Universe, Blue Hill, ME: Medicine Bear Publishing, 1997, 201, 222.
Sherbon, M.A. “Quintessential Nature of the Fine-Structure Constant,” Global Journal of Science Frontier Research, A, 15, 4, 23-26 (2015).
Temple, R.G. Egyptian Dawn: Exposing the Real Truth Behind Ancient Egypt, London, UK: Century, 2010.
Karim I. Back to a Future for Mankind: BioGeometry, Montreal, CA: BioGeometry Consulting, 2007, 194.
Witteveen, W. The Great Pyramid of Giza: A Modern View on Ancient Knowledge, Kempton, IL: Adventures Unlimited Press, 2016, 347.
Sherbon, M.A. “Fundamental Physics and the Fine-Structure Constant,” International Journal of Physical Research, 5, 2, 46-48 (2017).
Lawlor, R. Sacred Geometry: Philosophy and Practice, London, UK: Thames and Hudson, 1982, 85.
Eisen, W. “The Mysteries of the Constants (e) and (i),” in The Universal Language of Cabalah, Marina Del Rey, CA: DeVorss, 1989, 160-178.
Heyrovska, R. “The Golden Ratio, Ionic and Atomic Radii and Bond Lengths,” Molecular Physics, 103, 877 - 882 (2005).
Heyrovska, R. “Golden Ratio Based Fine Structure Constant and Rydberg Constant for Hydrogen Spectra,” International Journal of Sciences, 2, 5, 28-31 (2013).
Kunes, J. Dimensionless Physical Quantities in Science and Engineering, London, UK: Elsevier, 2012, 15.
Eisen, W. The English Cabalah Volume II: The Mysteries of Phi, Marina Del Rey, CA: DeVorss, 1982.
Sherbon, M.A. “Physical Mathematics and The Fine-Structure Constant,” Journal of Advances in Physics, 14, 3, 5758-64 (2018).
Downloads
Published
How to Cite
Issue
Section
License
All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.
