Corpus ID: 122770283

Some Mathematics Inspired by 137.036

@article{Markovitch2013SomeMI,
  title={Some Mathematics Inspired by 137.036},
  author={J. Markovitch},
  journal={viXra},
  year={2013}
}
The experimental value of the fine structure constant inverse from physics (approximately 137.036) is shown to also have an interesting role in pure mathematics. Specifically, 137.036 is shown to occur in the minimal solution to one of several slightly asymmetric equations (that is, equations whose left- and right-hand sides are very similar). 

Tables from this paper

The Cubic Equation and 137.036
Earlier, the author showed how a slightly asymmetric equation [1] (that is, an equation whose leftand righthand sides are very similar) produced the experimental value of the fine structure constantExpand
The cubic equation’s relation to the fine structure constant, the mixing angles, and Weinberg angle
A special case of the cubic equation is shown to possess three unusually economical solutions. A minimal case associated with these solutions is then shown to yield a congruous set of numbers thatExpand

References

SHOWING 1-6 OF 6 REFERENCES
A theorem producing the fine structure constant inverse and the quark and lepton mixing angles
The value 137.036, an excellent approximation of the fine structure constant inverse, is shown to occur naturally in connection with a theorem employing a pair of closely-related functions. It isExpand
Magic Number: A Partial History of the Fine-Structure Constant
L'A. demontre la place importante de constantes dans les formules et equations de la physique moderne, leur developpement jusqu'aux annees 1960 et leur role en physique theorique
A rewriting system applied to the simplest algebraic identities
The reason for altering these identities using the above rewriting system (an admittedly unusual thing to do) is to change them from related identities that are true for all values of M and N , intoExpand
The fine structure constant derived from the broken symmetry of two simple algebraic identities
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 M = M is “broken” by making theExpand
Underlying symmetry among the quark and lepton mixing angles (Seven year update)
In 2007 a single mathematical model encompassing both quark and lepton mixing was described. This model exploited the fact that when a 3 x 3 rotation matrix whose elements are squared is subtractedExpand
and D
  • B. Newell
  • 2010