Abstract Inventions

Advanced insight. Reasoning at the extremes.

©Copyright Andrew R. Hall Abstract Inventions 2015-2016. All rights reserved.

Index:

The Fine Structure Constant

The fine structure constant is an artifact of physics that has long provided consternation for physicists. From Arthur Eddington to Richard Feynmann. I think I am more on Eddington's side with his idea that the fine structure constant could be determined by deduction.

The Fine Structure Constant, based on geometry.

In this case the expression for 1/α gives 137.028305602521.

The Fine Structure Constant, based on h in terms of c

The two Equations for the fine structure constant above show that once you have an expression for h in terms of c, substituting for the reduced Planck constant reveals an underlying cubic geometry in the fine structure of atoms.

So, according to the expresssions above it can be see that the fine structure constant can be stated as only dependent on c, and having a relationship to a cube of side length c/sqrt(3).

Evaluating for permittivity (*ε*_{0}) the expression 1/α gives 137.029880864054.

Evaluating for permeability (*μ*_{0}) the expression 1/α gives 137.029880983806.

The following equation was arrived at from consideration of just 1.03 and sqrt(3). I find it interesting because of the geometrical connection to cubes and compression. Also, the fine structure constant is a dimensionless constant so an expression based on geometry and mathematical constants is appropriate.

The current mainstream view of the fine structure constant can be found on Wikipedia.Wikipedia Fine Structure Constant

ORCID ID 0000-0002-8237-238X

To contact Andy please e-mail andy@abstractinventions.uk

Name: andy

Comment: Once you know about "a" the above expressions for alpha can be re-written. It shows that they were pretty close in the first place, but with "a" they are spot on.

Timestamp: 2019-02-08 18:24:22

Comment: Once you know about "a" the above expressions for alpha can be re-written. It shows that they were pretty close in the first place, but with "a" they are spot on.

Timestamp: 2019-02-08 18:24:22