Mathematical Physics

1909 Submissions

[9] viXra:1909.0420 [pdf] replaced on 2019-09-20 19:23:55

On the Emergence of Spacetime Dimensions from the Kolmogorov Entropy

Authors: Ervin Goldfain
Comments: 5 Pages.

This short pedagogical report is based on a couple of premises. First, it was recently shown that the long run of non-equilibrium Renormalization Group flows is prone to end up on strange attractors. As a result, multifractals are likely to provide the proper framework for the characterization of effective field theories. Secondly, it is known that multifractal analysis uses the Kolmogorov entropy (K-entropy) to quantify the degree of disorder in chaotic systems and turbulent flows. Building on these premises, the report details the remarkable connection between K-entropy, multifractal sets and spacetime dimensions. It also supports the proposal that near and above the Fermi scale, spacetime is defined by continuous and arbitrarily small deviations from four-dimensions.
Category: Mathematical Physics

[8] viXra:1909.0412 [pdf] submitted on 2019-09-19 13:02:12

From Ramanujan’s Mock Theta Functions to Black Hole Entropies and Particle Physics: Symmetry, Supersymmetry and Golden Ratio

Authors: Michele Nardelli, Antonio Nardelli
Comments: 151 Pages.

In the present research thesis, we have obtained various interesting new mathematical connections concerning the Ramanujan’s mock theta functions, some like-particle solutions, Supersymmetry, some formulas of Haramein’s Theory and Black Holes entropies. We obtain excellent approximations to the values of the golden ratio, its conjugate and ζ(2)
Category: Mathematical Physics

[7] viXra:1909.0401 [pdf] submitted on 2019-09-20 05:07:10

A Classification of Relativity

Authors: Vu B Ho
Comments: 16 Pages.

In this work we discuss the possibility to classify relativity in accordance with the classification of second order partial differential equations that have been applied into the formulation of physical laws in physics. In mathematics, second order partial differential equations can be classified into hyperbolic, elliptic or parabolic type, therefore we show that it is also possible to classify relativity accordingly into hyperbolic, elliptic or parabolic type by establishing coordinate transformations that preserve the forms of these second order partial differential equations. The coordinate transformation that preserves the form of the hyperbolic equation is the Lorentz transformation and the associated space is the hyperbolic, or pseudo-Euclidean, relativistic spacetime. Typical equations in physics that comply with hyperbolic relativity are Maxwell and Dirac equations. The coordinate transformation that preserves the form of the elliptic equation is the modified Lorentz transformation that we have formulated in our work on Euclidean relativity and the associated space is the elliptic, or Euclidean, relativistic spacetime. Typical equations in physics that comply with elliptic relativity are the equations that describe the subfields of Maxwell and Dirac equations. And the coordinate transformation that preserves the form of the parabolic equation is the Euclidean transformation consisting of the translation and rotation in the spatial space and the associated space is the parabolic relativistic spacetime, which is a Euclidean space with a universal time. Typical equations in physics that comply with parabolic relativity are the diffusion equation, the Schrödinger equation and in particular the diffusion equations that are derived from the four-current defined in terms of the differentiable structures of the spacetime manifold and the Ricci flow.
Category: Mathematical Physics

[6] viXra:1909.0371 [pdf] submitted on 2019-09-17 11:26:07

The Einstein Equations for Exterior Forms

Authors: Antoine Balan
Comments: 2 pages, written in french

We propose to replace the smooth functions by the even exterior forms, so making the tensor calculus of forms.
Category: Mathematical Physics

[5] viXra:1909.0368 [pdf] submitted on 2019-09-17 15:11:10

Fresnel Drag Formula Derived from Hertz em

Authors: Robert Bennett
Comments: 4 Pages.

The Fresnel drag formula was verified by Fizeau’s water-channel test. SoL = c/n + v(1-1/n2) The theoretical derivation* offered herein supports: •Full aether dragging by fluids – speed of the fluid medium equals the speed of the entrained aether in the lab - Vm = Va •The Hertz EM laws, which replace Maxwell’s partial derivatives with total time derivatives, introducing thereby laws that are Galilean covariant(not Lorentzian)...and an additional parameter, a convective velocity ...of aether, Va. • The kinematic invariants of proper time, using distance and velocity to first order in v/c. •The Fresnel drag equation, as confirmed by Fizeau. The following uses Robert’s Rules of reasoning, based on the scientific method and philo-realism.
Category: Mathematical Physics

[4] viXra:1909.0177 [pdf] submitted on 2019-09-08 14:01:25

First Integrals and Lagrangian Analysis of Nonlinear Differential Equations

Authors: M. Nonti, J. Akande, P. Mallick, K. K. D. AdjaÏ, B. Rath, M. D. Monsia
Comments: 2 pages

We propose in this paper first integrals and Lagrangian analysis of nonlinear differential equations.
Category: Mathematical Physics

[3] viXra:1909.0176 [pdf] submitted on 2019-09-08 14:11:28

Further Mathematical Connections Between the Dark Matter Candidate Particles, Some Ramanujan’s Mock Theta Functions and the Physics of Black Holes. II

Authors: Michele Nardelli, Antonio Nardelli
Comments: 114 Pages.

In the present research thesis, we have obtained further interesting new possible mathematical connections concerning the mathematics of Ramanujan mock theta functions, some sectors of Particle Physics, concerning principally the Dark Matter candidate particles and the physics of black holes.
Category: Mathematical Physics

[2] viXra:1909.0113 [pdf] submitted on 2019-09-05 12:49:34

On the Hypothetical Dark Matter Candidate Particles: New Mathematical Connections with the Physics of Black Holes and Some Developments of Ramanujan’s Mock Theta Functions

Authors: Michele Nardelli, Antonio Nardelli
Comments: 166 Pages.

In the present research thesis, we have obtained various interesting new possible mathematical connections concerning some developments of Ramanujan’s Mock Theta Functions, some sectors of Particle Physics, concerning principally the Dark Matter candidate particles and the physics of black holes.
Category: Mathematical Physics

[1] viXra:1909.0101 [pdf] submitted on 2019-09-06 00:09:24

Maxwell and Dirac Field with Three-Dimensional Time

Authors: Vu B Ho
Comments: 14 Pages.

In this work we further examine possible mathematical structures and physical properties of Maxwell and Dirac field by formulating the two fields in a six-dimensional spatiotemporal manifold in which both space and time have three dimensions. We show that although Maxwell and Dirac field each can be formulated as a single field in a more symmetrical structure in terms of space and time in the six-dimensional spatiotemporal continuum, Maxwell and Dirac six-dimensional field can be decoupled into two separate fields that exist in the Minkowski pseudo-Euclidean spactime and the Euclidean three-dimensional temporal manifold, respectively. The coexistent temporal elliptic field to Maxwell field in the three-dimensional temporal manifold is a free field and the coexistent temporal elliptic field to Dirac field is massless. While Maxwell and Dirac field comply with the pseudo-Euclidean relativity, both coexistent fields conform to the temporal Euclidean relativity.
Category: Mathematical Physics