| viXra.org > Mathematical Physics > 2007 |
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| viXra.org > Mathematical Physics > 2007 |
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[7] viXra:2007.0223 [pdf] replaced on 2020-11-27 22:56:42
Authors: Stephen H. Jarvis
Comments: 34 Pages.
This paper, a continuation of the previous 22 papers, takes the description of time and space and those associated dimensional mechanics to a new theoretical level, primarily examining in detail the nature of what is termed the time-space field (TSF) and how that field is able to explain the wave-nature of light beyond that of the contemporary explanation of the photon. The basis of the description is central to the new time-algorithm as accounted for in the preceding 22 papers detailing time-points in space that have associated to them the quality of a time-space spin (TSS) relative to each other in the general back-drop of the 3-d spatial vacuum. From this TSF is described a time-space template (TST) for the development of atomic elementary particle phenomena and associated fundamental interactions, deriving charge and mass for atomic particles, beyond which is explained the time-space wave (TSW) phenomenon of the TSF for both EM and Gravity, highlighting a new phenomenon that exists between EM and the proposed EMDIR (gravity analogue) field. This then finally gives allowance for the description of a time-space pulse (TSP) phenomenon as the simplest relationship between the wave mechanics of EM and G, highlighting the EMDIR-EM repulsive effect in nature, nature, deriving the Vacuum constant of space, finally proposing an application for this new science.
Category: Mathematical Physics
[6] viXra:2007.0218 [pdf] submitted on 2020-07-28 10:06:13
Authors: Valeriy V. Dvoeglazov
Comments: 5 Pages. Talk at the LXII Congreso Nacional de Fisica. 6-11/10/2019. Villahermosa, Tab., Mexico.
We begin with the comprehensible review of the basics of the Lorentz, (extended) Poincare Groups and O(3,2) and O(4,1). On the basis of the Gelfand-Tsetlin-Sokolik-Silagadze research~[1-3], we investigate the definitions of the discrete symmetry operators both on the classical level, and in the secondary-quantization scheme. We studied the physical content within several bases: light-front form formulation, helicity basis, angular momentum basis, on several practical examples. The conclusion is that we have ambiguities in the definitions of the the corresponding operators P, C; T, which lead to different physical consequences.
Category: Mathematical Physics
[5] viXra:2007.0206 [pdf] replaced on 2020-08-11 10:16:11
Authors: Victor L. Mironov, Sergey V. Mironov
Comments: 22 Pages.
We present a generalization of the equations of hydrodynamics based on the noncommutative algebra of space-time sedeons. It is shown that for vortex-less flow the system of Euler and continuity equations is represented as a single non-linear sedeonic second-order wave equation for scalar and vector potentials, which is naturally generalized on viscous and vortex flows. As a result we obtained the closed system of four equations describing the diffusion damping of translational and vortex motions. The main peculiarities of the obtained equations are illustrated on the basis of the plane wave solutions describing the propagation of sound waves.
Category: Mathematical Physics
[4] viXra:2007.0169 [pdf] submitted on 2020-07-21 11:12:52
Authors: Anamitra Palit
Comments: 6 Pages.
The article explores certain properties of tensors with reference to the rank two covariant tensor. The metric tensor plays a crucial role in the discussion. An interesting fact emerges that in order to avoid certain controversies the metric tensor and in general the rank two tensor will necessarily be null tensors.
Category: Mathematical Physics
[3] viXra:2007.0081 [pdf] replaced on 2020-07-29 12:45:20
Authors: Radhakrishnamurty Padyala
Comments: 10 Pages. 6 Figures
Fermat posed a challenge problem thus: Given three points find a fourth in such a way that the sum of its distances from the three given points is a minimum. The solution point is called Fermat Point (FP). The problem involved three given points and the minimization of sum of three distances. The solution contained some interesting special cases which involved the three given points but only two distances whose sum was a minimum. We found the special cases provide a simple method for exposing the inconsistency between FP and Fermat’s least time principle (FLTP). The perfect setting for our finding was provided by the natural phenomena of reflection and refraction of light. In the application of FLTP to these processes also, we have the same conditions of three given points and two distances. The three points are: the end points of the broken line path and the point of incidence. The two distances are: the lengths of the two broken line segments - travelled before and after reflection or refraction. We show in this article that FP and FLTP lead to contradictory results about the point connecting the given points that provides the minimal sum of the distances. In optimization parlance this means that FP and FLTP give different points to locate a service facility catering to three given towns. Our result leads to the conclusion that FP and FLTP are mutually inconsistent. Simply put, we pitch FP against FLTP and show the inconsistency between the two.
Category: Mathematical Physics
[2] viXra:2007.0048 [pdf] submitted on 2020-07-07 14:43:35
Authors: Elio Conte
Comments: 15 Pages.
A new theorem is demonstrated. There is a class of biquaternions for which the power of the biquaternions at the order n is so that Rn-1≠0 and Rn= 0. This theorem is of interest not only in the mathematical tool of the biquaternion field but it is of particular interest also in the applications of biquaternion algebra in quantum mechanics.
Category: Mathematical Physics
[1] viXra:2007.0037 [pdf] submitted on 2020-07-06 16:50:38
Authors: Dan Visser
Comments: 5 Pages.
In reaction on the debate about the crises in cosmology, held at the Kavli Institute California USA, I bring forward to Dr. Adam Riess (John Hopkins University) a proposal, which exactly connects to the result of HOLiCOW measurements of a cosmological constant of 73.3 km/s/Mpc.
Category: Mathematical Physics
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