Mathematical Physics

2408 Submissions

[4] viXra:2408.0120 [pdf] submitted on 2024-08-28 20:38:59

The Reinterpretation of the Atom

Authors: Andreas Martin
Comments: 34 Pages.

This publication contains a mathematical-physical approach for a new interpretation of the atom and its structure. The basis for this is, on the one hand, the unipolar induction according to Michael Faraday (1791-1867), which has proven itself in practice, and, on the other hand, the various experiments in classical physics that led to the concept of the atom. Further basis for this elaboration are the essays: ''The reinterpretation of the 'Maxwell equations'[1]'', ''The reinterpretation of the Einstein de Haas experiment[2]'' and ''The reinterpretation of the Stern Gerlach experiment[3 ]''. These fundamentals, in combination with the calculation rules of vector analysis, differential calculus and analysis, show a new interpretation of the atom. The unipolar induction according to Michael Faraday (1791-1867) results in a generally valid calculation approach for the structure and functioning of an atom. An alternative approach to calculating the weak and strong nuclear force is also shown, which provides a common mathematical-physical basis for bringing together all nuclear forces. This also makes it possible to see how the atomic nucleus experiences stabilization.Another innovation is the combination of waves and particles through the presented model.This all points to an interpretation of the atom as a vortex structure within a medium. This paper also shows approaches to calculating these vortex structures.This elaboration has no claim to accuracy. Logical connections are created based on mathematical and physical principles, which lead to the conclusions in this essay. These conclusions are fundamentally based on classical physics.
Category: Mathematical Physics

[3] viXra:2408.0112 [pdf] replaced on 2024-09-01 11:54:16

From Complex Dynamics to Foundational Physics (Part 1)

Authors: Ervin Goldfain
Comments: 27 Pages.

As of today, Quantum Field Theory (QFT) and General Relativity (GR) are broadly recognized paradigms of foundational physics. There are, however, growing suspicions that both paradigms fail to hold somewhere above the Standard Model (SM) scale and in the realm of primordial cosmology. Evidence collected on multiple fronts indicates that emergence and complexity are universal features of far-from-equilibrium systems with many degrees of freedom. In line with these findings, Part 1 of the report explores the complex dynamics of evolving dimensional fluctuations beyond the SM scale. Part 2 outlines the role of complex dynamics in the nonintegrable sector of particle physics, Dark Matter condensation and the gravitational regime of the early Universe.
Category: Mathematical Physics

[2] viXra:2408.0097 [pdf] submitted on 2024-08-25 02:18:31

Discovery Of The Solution To The Fibonacci Sequence Of The Fine Structure Constant 137

Authors: Hua-Fang Wu
Comments: 5 Pages.

The fine structure constant α is a dimensionless number approximately equal to 1/137. Its reciprocal 1/α is approximately equal to 137, not a whole number. Research results in recent years suggest that it may vary in the large-scale space-time range of the universe, and may also be anisotropic and have a specific direction preference. In the analysis of the 137 value, the Author found that it contains the information structure of the Fibonacci sequence, and the Fibonacci sequence is inseparable from the golden ratio, fractal geometry, etc., and is an important law in nature. This may suggest that whether the fine structure constant may vary in the universe, or its objective measurements show that 1/α is only a decimal close to the integer of 137. 1/α is likely to be approaching to this integer due to certain mechanism related to the integer 137, while the core around it is still the integer 137, but there are some effects or disturbances in the measurements, including errors, possible universe anisotropy, and the brokenness of the universe itself, that causes the numerical result deviates from the integer slightly. The exact expression of 137 by the Fibonacci sequence is given here; in addition, an attempt is also made to give a formula of α that includes the value of the golden ratio, and the approximated expression of the formula.
Category: Mathematical Physics

[1] viXra:2408.0048 [pdf] submitted on 2024-08-11 14:02:16

From Hamiltonian Chaos to the Cosmological and Fermi Scales

Authors: Ervin Goldfain
Comments: 20 Pages.

A lesser-known property of Hamiltonian dynamics is that it can be formally mapped to the Riemannian geometry of classical gravitation. Taking advantage of this property, we explore here the possibility that the onset of Hamiltonian chaos in the ultraviolet (UV) sector of field theory generates the cosmological and Fermi scales. In line with the geometry of fully developed chaos, these two scales reflect the cumulative contribution of energies stored in the fractal dimensionality of spacetime. Our findings support the conjecture that both Standard and the Lambda-CDM models emerge as non-trivial attractors of the UV to infrared (IR) flow.
Category: Mathematical Physics