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Possible hidden symmetry in time

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In this article, we will introduce the need for symmetry between a possible positive hidden variable in time, + f r [E. Brodet, Phys. Essays 23, 613 (2010)], and a negative hidden variable in time, - f r , in the context of a complete deterministic explanation of the decay time process of an unstable particle such as a muon. As discussed by Brodet [Phys. Essays 23, 613 (2010)], it is possible that behind each decay time value, t i of unstable particles such as muons, STANDS a hidden variable in time, f r ( i ) . The possible link between f r ( i ) and the muon's Breit‐Wigner distribution and to its uncertainty in time was discussed [E. Brodet, Prog. Phys. 12, 231 (2016)], and subsequently, it was argued that each f r ( i ) may be related to two masses M i ( 1 ) and M i ( 2 ) according to the Breit‐Wigner shape. The above suggestion still leaves the muon decay process not completely deterministic as particles that share the same f r ( i ) may have two different masses M i ( 1 ) and M i ( 2 ) . Therefore, in order to explain the muon's decay process in a complete deterministic way, it would be possible to suggest a symmetry between + f r and - f r which share the same measured decay time, t i , and describe the muon decay time distribution using a distribution of f r ( i ) values with positive or negative signs. This is where + f r ( i ) may correspond to M i ( 2 ) and - f r ( i ) may correspond to M i ( 1 ) . It will be discussed how the above symmetry may be generalized and be related to the absolute position of a particle as given in Brodet [Appl. Phys. Res. 9, 65 (2017)] and consequently to the energy and momentum of a particle and to its internal properties such as spin and charge. A possible experimental way to identify the above symmetry is discussed.
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Keywords: Charge; Hidden Variable; Spin; Symmetry; Time

Document Type: Research Article

Publication date: December 7, 2017

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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