High Energy Particle Physics


Approximations of the Fine Structure Constant Reciprocal

Authors: J. S. Markovitch

A "brute force" computer search was made for the most accurate approximations of the experimental fine structure constant reciprocal in the form (A^a - D^d)/B^b + C^c - E^e, where A, B, C, D, and E were integers ranging from 0 to 30, while the exponents a, b, and c, were integers ranging from 0 to 3, and d and e were integers ranging from 0 to -3. Within these restrictions, and ignoring all trivial variants, a fit better than or equal to 137.036 was achieved only twice, by (10^3 - 10^-3)/3^3 + 10^2 - 10^-3 = 137.036 and (22^3 - 2^-1)/25^2 + 11^2 - 1^-1 = 137.036, where the search employed a fine structure constant inverse equaling its 2006 CODATA value of 137.035999679. The comparative simplicity of the first of these approximations, its symmetrical reuse of the constant 10, and the small size of its integers, together suggest its origin may be physical, and that the integers 10 and 3 may be important physical constants.

Comments: 2 Pages

Download: PDF

Submission history

[v1] 26 Aug 2010

Unique-IP document downloads: 128 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

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.

comments powered by Disqus