2001/12/06 by James G. Gilson, J. G. Gilson, Gilson, J. G.
Engineering · Physics and Astronomy · #Advanced Chemical Sensor Technologies #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0112033
8 pages
arxiv created 2001/12/06 · openalex publication_date 2001/12/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the fine structure constant alpha has the same value that "characterises" a relation, denoted by alpha137(29*137), between a representation of the cyclic group of order 29*137 and the induced representation for the cyclic subgroup of order 137. The value of this characteristic is alpha137(29*137) = 0.007297352532... . The complementary characteristic alpha29(29*137)=0.034280626357... for the cyclic subgroup of order 29 is shown to represent the gauge theory electro-weak coupling quantity g2/(4 pi). Kinematic aspects of the representation geometry are discussed and a generalized version of the Weinberg electro-weak mixing angle is introduced.