[9] viXra:2205.0127 [pdf] submitted on 2022-05-24 22:15:23
Authors: Igor B. Krasnyuk
Comments: 48 Pages.
We consider the motion on particles on a circle. Application on initial value problems with nonlinear boundary conditions will be done.
Category: Mathematical Physics
[8] viXra:2205.0104 [pdf] submitted on 2022-05-19 22:07:32
Authors: J. A. J. van Leunen
Comments: 84 Pages. This is part of the Hilbert Book Model Project
Hilbert spaces are relevant because these extensions of vector spaces are capable of archiving sets of numbers in a structured way such that these data can be retrieved in a well-organized way. Currently, textbooks about Hilbert spaces do not contain a treatise of Paul Dirac’s bra-ket combination for quaternionic numbers.
This paper shows that the bra-ket combination gives Hilbert spaces a range of unexpected capabilities. The fact that the quaternionic version of the bra-ket combination is practically unknown has a deep impact on the comprehension of the fundamentals of physical reality.
Category: Mathematical Physics
[7] viXra:2205.0080 [pdf] submitted on 2022-05-15 21:19:07
Authors: Michele Nardelli, Antonio Nardelli
Comments: 124 Pages.
In this paper we analyze new possible mathematical connections between π, ζ(2), 4096, 1729, some Ramanujan mock theta functions, parameters of Number Theory and sectors of String Theory.
Category: Mathematical Physics
[6] viXra:2205.0079 [pdf] replaced on 2022-07-08 18:26:27
Authors: Stephen H. Jarvis
Comments: 24 Pages.
Physics employs a variety of models constrained by how mathematical objects are used to label physical phenomena, primarily momentum being the mathematical object of choice. These models range from Newtonian mechanics to special and general relativity, to then quantum mechanics, and then to the standard model of particles. A clear issue that has arisen between these models is the dimensional mismatch between Einstein’s theory of gravitation and quantum mechanics (and thence the standard model) despite the idea of momentum being employed as a common mathematical object of choice for each of the models. Identified also with each of the models are three distinct and overlooked principles which remain as principles for each of the models without any further definition or derivation thereof, namely Fermat’s principle, the stationary-action principle, and the principle of inertia. In noting that these three principles are understood as assumptions for each of the models by the application of momentum as a mathematical descriptor base alone, the dimensional lack of cohesion between general relativity and quantum mechanics (and thence the standard model of particles) is brought to question with such. To rectify the dimensional mismatch, these three principles shall be derived from a zero-dimensional mathematical approach for the dimensions of time and space, specifically space as a point and time as a moment. By this derivation, the mathematical object approach of momentum shall be discussed and compared to the zero-dimensional mathematical approach.
Category: Mathematical Physics
[5] viXra:2205.0061 [pdf] submitted on 2022-05-11 23:29:50
Authors: Helmut Schmidt
Comments: 20 Pages.
The presented theory of everything (TOE) is based on the simplest possible law for energy E = 2^r i^t and the torque for an observer and two objects. A common constant can be derived from h, G and c: hGc^5 s^8/m^10 sqrt(pi^4 - pi^2 - 1/pi - 1/pi^3) = 1.00000 For the system of sun, earth and moon, a formula for c results from the radius of the earth and day alone: r = sqrt (pi/2 c m Tag ) = 6378626 m Numerous calculations on the planetary system, hydrogen atom and elementary particles are given. For example, the exact calculation of the proton mass in relation to the electron mass.
mproton = (2pi)^4+(2pi)^3+(2pi)^2-(2pi)^1 - 1 -2 - 2/pi - 2/pi^6 + 4/pi^8+ 4/pi^10 + 4/pi^12 + 8/pi^13 - 1/pi^14) The TOE gives the result 1836.15267343 me With the TOE, the energies of objects are determined directly. QM, QFT and ART are committee methods using the Euler-Lagrange formula. The vacuum is considered to be an essential part of the universe, filled with virtual particles. This can be represented as an equation: All = TOE + Vakuum = TOE + QFT + ART.
Category: Mathematical Physics
[4] viXra:2205.0058 [pdf] submitted on 2022-05-10 17:57:53
Authors: David Njeru Kathuri
Comments: 16 Pages.
"Division by Zero Galileo & Antoine Laws proffer application" offers more scientific proof in regards to my proffer involving division by zero as explained in "58 Answers for Division by Zero".
This is done by the use of Galileo & Antoine Law of Motion and Conservation respectively. 2
Category: Mathematical Physics
[3] viXra:2205.0037 [pdf] submitted on 2022-05-07 21:13:36
Authors: Miftachul Hadi
Comments: 4 Pages.
We treat the geometrical optics as an Abelian $U(1)$ local gauge theory in vacuum curved space-time. We formulate the eikonal equation in (1+1)-dimensional vacuum centrally symmetric curved space-time using null geodesic of the Schwarzschild metric and obtain mass-the U(1) gauge potential relation.
Category: Mathematical Physics
[2] viXra:2205.0031 [pdf] submitted on 2022-05-06 20:10:57
Authors: Aloys J. Sipers, Joh. J. Sauren
Comments: 4 Pages.
In this communication, we propose a computational method involving matrix algebra to approximate numerical values of a given table by a second order polynomial.
Category: Mathematical Physics
[1] viXra:2205.0014 [pdf] submitted on 2022-05-03 21:14:19
Authors: Thomas Heiko Günther
Comments: 33 Pages.
The paper is concerned with the mathematical basics for the calculation of the Einstein tensor. Einstein's tensor is part of Einsteins field equations in General Relativity.
Category: Mathematical Physics