Fundamental physics and the fine-structure constant

  • Authors

    2017-08-17
    https://doi.org/10.14419/ijpr.v5i2.8084
  • Euler’s Equation, Fine-Structure Constant, Forces of Nature, Fundamental Constants, Symmetry Principles.
  • From the exponential function of Euler’s equation to the geometry of a fundamental form, a calculation of the fine-structure constant and its relationship to the proton-electron mass ratio is given. Equations are found for the fundamental constants of the four forces of nature: electromagnetism, the weak force, the strong force and the force of gravitation. Symmetry principles are then associated with traditional physical measures.

  • References

    1. [1] L. Debnath, The Legacy of Leonhard Euler: A Tricentennial Tribute, Imperial College Press, London, World Scientific Publishing, River Edge, NJ, (2009) p.180. https://doi.org/10.1142/p698.

      [2] W. Eisen, The Essence of the Cabalah, DeVorss, Marina Del Rey, CA, 1984, pp.474-479.

      [3] M.A. Sherbon, Quintessential nature of the fine-structure constant, Global Journal of Science Frontier Research A, 15, 4 (2015) 23-26.

      [4] R.R. Nair, et al, Fine structure constant defines visual transparency of graphene, Science, 320, 5881 (2008) 1308-1308. https://doi.org/10.1126/science.1156965.

      [5] Z. Zi-Xiang, An observation of relationship between the fine structure constant and the Gibbs phenomenon in Fourier analysis, Chinese Physics Letters, 21.2 (2004) 237-238. https://doi.org/10.1088/0256-307X/21/2/006.

      [6] T. Aoyama, M. Hayakawa, T. Kinoshita, & M. Nio, Tenth-order electron anomalous magnetic moment: contribution of diagrams without closed lepton loops, Physical Review D, 91, 3 (2015) 033006.

      [7] M.A. Sherbon, Fundamental nature of the fine-structure constant, International Journal of Physical Research, 2, 1 (2014) 1-9. https://doi.org/10.14419/ijpr.v2i1.1817.

      [8] C.B. Hills, Supersensonics, University of the Trees, Boulder Creek, CA, 1978, p.120.

      [9] G. Rosi, et al, Precision measurement of the Newtonian gravitational constant using cold atoms, Nature, 510.7506 (2014) 518-521. https://doi.org/10.1038/nature13433.

      [10] A.S. Burrows & J.P. Ostriker, Astronomical reach of fundamental physics, PNAS, 111, 7 (2014) 2409-2416. https://doi.org/10.1073/pnas.1318003111.

      [11] D. d’Enterria, P.Z. Skands, S. Alekhin, et al, High-precision αS measurements from LHC to FCC-ee, CERN-PH-TH (2015) 299.

      [12] A. Bodek, Precision measurements of electroweak parameters with Z bosons at the Tevatron, The European Physical JournalC, 76, 3 (2016) 1-12. In Proceedings of the Third LHCP15, 2015. Saint Petersburg, Russia.

      [13] M. Thomson, Modern Particle Physics, Cambridge University Press, Cambridge, UK, 2013, 298.

      [14] K.A. Olive, et al, (Particle Data Group) The review of particle physics, Chinese Physics C, 38 (2014) & update (2015) 090001.

      [15] K. Sundermeyer, Symmetries in Fundamental Physics, Springer, New York, 2014. https://doi.org/10.1007/978-94-007-7642-5.

      [16] S.P. Sirag, ADEX Theory: How the ADE Coxeter Graphs Unify Mathematics and Physics, World Scientific Publishing, River Edge, NJ, 2016, pp.2-4. https://doi.org/10.1142/9502.

      [17] K.P. Jungmann, Fundamental symmetries and interactions, Nuclear Physics A, 751 (2005) 87. https://doi.org/10.1016/j.nuclphysa.2005.02.099.

      [18] C. Quigg, Electroweak symmetry breaking in historical perspective, Annual Review of Nuclear and Particle Science, 65, 1 (2015) 25-42. https://doi.org/10.1146/annurev-nucl-102313-025537.

      [19] T. Gannon, Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics, Cambridge University Press, Cambridge, UK, 2006. https://doi.org/10.1017/CBO9780511535116.

      [20] J.F.R. Duncan, M.J. Griffin & K. Ono, Moonshine, Research in the Mathematical Sciences, 2 (2015) 11. https://doi.org/10.1186/s40687-015-0029-6.

      [21] N.J.A. Sloane, Coefficients of modular function j as power series in q, The On-Line Encyclopedia of Integer Sequences, (2001) OEIS:A000521.

      [22] D. Grumiller, R. McNees, & J. Salzer, Black holes and thermodynamics, Quantum Aspects of Black Holes, Springer, New York, 2015, pp.27-70.

      [23] G.W. Adamson, Convolution square root of A000521, The On-Line Encyclopedia of Integer Sequences, (2009) OEIS:A161361.

      [24] T. Eguchi, H. Ooguri & Y. Tachikawa, Notes on the K3 surface and the Mathieu group M24, Experimental Mathematics, 20, 1 (2011) 91-96. https://doi.org/10.1080/10586458.2011.544585.

      [25] P.P. Dechant, Clifford algebra is the natural framework for root systems and Coxeter groups. Group theory: Coxeter, conformal and modular groups, Advances in Applied Clifford Algebras, (2015) 1-15.

      [26] H.F. Verheyen, The icosahedral design of the great pyramid, Fivefold Symmetry, World Scientific Publishing, River Edge, NJ, 1992, pp.333-360. https://doi.org/10.1142/9789814439497_0020.

      [27] J. Michell, the New View over Atlantis, Thames & Hudson, New York, 1995, p.149.

      [28] M.A. Sherbon, Wolfgang Pauli and the fine-structure constant, Journal of Science, 2, 3 (2012) 148-154.

      [29] R.G. Newton, Galileo’s Pendulum: From the Rhythm of Time to the Making of Matter, Harvard University Press, Cambridge, MA, 2004, p.137. https://doi.org/10.4159/9780674041486.

      [30] F. Petrie, Origin of the time pendulum, Nature, 132, 3324 (1933) 102.

      [31] J. Maldacena, The symmetry and simplicity of the laws of physics and the Higgs boson, European Journal of Physics, 37, 1, 12 (2015) 015802.

  • Downloads

  • How to Cite

    Sherbon, M. (2017). Fundamental physics and the fine-structure constant. International Journal of Physical Research, 5(2), 46-48. https://doi.org/10.14419/ijpr.v5i2.8084