High Energy Particle Physics

   

The Fine Structure Constant Derived from the Broken Symmetry of Two Simple Algebraic Identities

Authors: J. S. Markovitch

The fine structure constant is shown to arise naturally in the course of altering the symmetry of two algebraic identities. Specifically, the symmetry of the identity M2 = M2 is "broken" by making the substitution MMy on its left side, and the substitution MnMnxp on its right side, where p equals the order of the identity; these substitutions convert the above identity into the equation (My)2 = M2x2. These same substitutions are also applied to the only slightly more complicated identity (M / N)3 + M2 = (M / N)3 + M2 to produce this second equation (My)3 / N3 + (My)2 = (M3x3) / N3 + M2x3. These two equations are then shown to share a mathematical property relating to dy/dx, where, on the second equation's right side this property helps define the special case (M3x3) / N3 + M2x3 = (103 − 0.13) / 33 + 102 − 0.13 = 137.036, which incorporates a value close to the experimental fine structure constant inverse.

Comments: 4 Pages.

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Submission history

[v1] 8 Feb 2011
[v2] 14 May 2011
[v3] 14 Oct 2011
[v4] 2012-02-29 14:27:18

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