A new approach to gauge theory and variational principal
Abstract
The objective of this paper is to present an alternative method of finding the gauge for the elements of an atom, the nucleus, and the electron. The alternative method is based on the behavioural attributes of the nucleus and the electron. It is assumed that atom is intelligent, and therefore, it behaves as any intelligent entity. Given this premise, both the nucleus and the electron can change positions. Their positions can be found in Borel tensor sets of the Universal Probability Space (UPS). Position change from one Borel tensor set to another is caused by interpretation of ongoing conversation between the nucleus and the electron. The validity of the invariance principal is checked in view of the new gauge theory.
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References
M.M. Khoshyaran, On a class of universal probability spaces, Advances in Research, Vol.6, no.5, 2016, pp. 1-7.
M.M. Khoshyaran, On a class of universal probability spaces: Case of Complex Fields, Advances in Research, Vol.8, no.2, 2016, pp. 1-12.
S.-I. Tomonaga, The story of spin, The University of Chicago Press, Chicago,1997.
F. hund, Linienspektren und Periodisches System der Elemente, Springer, Berlin, 1927.
A. Sommerfeld, Zur Theorie des Zeeman-Effekts der Wasserstoffinien, mit einem Anhang uber den Stark-Effekt, Phys. Z., Vol.17, 1916, pp. 491-507.
G.E. Uhlenbeck, S.A. Goudsmit, Spinning Electrons and the Structure of Spectra, Nature, Vol.117, 1926, pp. 264-265.
H.L. Thomas, The Motion of Spinning Electron, Nature, Vol.117, 1926, pp. 514.
H.L. Thomas, On the Kinematics of an Electron with an axis, Philosoph. Mag., Vol.3, 1927, pp. 1-22.
W. Heisenberg, P. Jordan, Anwendung der Quantenmechanik auf das Problem der anomalen Zeemaneffekte, Z. Phys., Vol.37, 1926, pp. 263-277.
W. Pauli, Zur Frage der Theoreitischen Deutung der Satelliten einiger
Spektrallinien und ihrer Beeinflussung durch magnetische Felder, Naturwissenschaften, Vol.12, 1924, pp. 741-743.
S. Sontz, Principal Bundles: The Classical Case, Springer, Switzerland, 2015.
D. Bleecker, Gauge theory and variational principles, Dover Publications Inc., Minola, New York, 1981.
G. Sharf, Gauge field theories: Spin one and spin two , Dover Publications Inc., Minola, New York, 2016.
C. Itzykson,J.B. Zuber, Quantum field theory , McGraw-Hill Inc., New York, 1980.
S. Ortoli,JP. Pharabod, Le cantique des quantiques, La decouverte ed., Paris, 2007.
R.J. Bogdan, Interpreting Minds, The MIT Press, Cambridge, 2003.
J.T. Bonner, The Evolution of Complexity, Princeton University Press, Princeton, 1988.
D. Davidson, Inquiries into Truth and Interpretation, Oxford University Press, Oxford, 1984.
J.C. Gomez, Causal Links, Contingencies, and the Comparative Psychology of Intelligence, Behavioural and Brain Sciences, Vol.13, 1990, pp. 392.
W.V.O. Quine, World and Object, The MIT Press, Cambridge, 1960.
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