Mathematical Physics

2611 Submissions

[3] viXra:2611.0037 [pdf] submitted on 2026-11-12 10:27:58

The true Origin of the Figure 137, the Reciprocal of the Fine Structure Constant

Authors: Andreas Ball
Comments: 11 Pages.

Since the Physicist Arnold Sommerfeld introduced the Fine Structure Constant more than 100 years ago, many Natural Scientists were occupied with the question: Why possesses the reciprocal of the Fine Structure Constant the value close to 137? And up to now nobody could answer this question, so far it is known to the author.In this report the true origin of the Fine Structure Constant, namely its reciprocal value is revealed by a simple mathematical relation, what is further widened to a Formula of second order. It is shown, that several Primes take high significances referring to the origin of the Figure 137. By use of derived figures and terms from this simple relation very accurate approximations for the impressive "Hans de Vries" Formula for the Fine Structure Constant are presented.
Category: Mathematical Physics

[2] viXra:2611.0033 [pdf] submitted on 2026-11-13 21:27:21

An Alternative Quantum Mechanics

Authors: Nekrasov Grigory Yu
Comments: 25 Pages. In Russian

An alternative version of the relativistic quantum mechanics of a free particle based onquantization of the Legendre transform in the classical mechanics of a one free particle isconsidered. As the theory initially does not turn out, the quantum mechanical regularization and the quantum mechanical renormalization of this theory are executed, as a result, the new wave-equation is gained, and it must be subject to experimental verification. It appears that this theory is a combination of the two standard theories of free particles in some sense: the Klein-Gordon-Fock theory and the Dirac theory.
Category: Mathematical Physics

[1] viXra:2611.0021 [pdf] submitted on 2026-11-07 16:40:00

Algebraic Constants from a Discrete Mapping :connections to Geometry, Physics, and Crystallography

Authors: Fishel Bloom
Comments: 5 Pages.

For integers n = 0 through 9, the mapping f(n) = √n/2 − n/2 + 2 yields algebraic values that invite comparisons across geometry, numerical analysis, quantum physics, structural mechanics, and crystallography, including quasi-crystalline tilings. Examples include the inverse golden ratio, the ideal tetrahedral interstitial radius ratio, and a coefficient in Gill’s fourth-order Runge—Kutta method. The proposed cantilever-deflection interpretation is a speculative physical hypothesis; throughout, exact identities are distinguished from geometric comparisons and physical hypotheses.
Category: Mathematical Physics