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 M → M − y on its left side, and the substitution Mn → Mn − xp on its right side, where p equals the order of the identity; these substitutions convert the above identity into the equation (M − y)2 = M2 − x2. 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 (M − y)3 / N3 + (M − y)2 = (M3 − x3) / N3 + M2 − x3. 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 (M3 − x3) / N3 + M2 − x3 = (103 − 0.13) / 33 + 102 − 0.13 = 137.036, which incorporates a value close to the experimental fine structure constant inverse.
Comments: 4 Pages.
Unique-IP document downloads: 149 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.