Mathematical Physics

2308 Submissions

[5] viXra:2308.0195 [pdf] submitted on 2023-08-29 22:50:07

Navier-Stokes Equation and Euler Equation

Authors: Wan-Chung Hu
Comments: 7 Pages. In Chinese

The existence of Navier-Stokes equation is still a puzzle. Here, I provide solutions to the compressible or non-compressible fluids of the Navier-Stokes equation. In addition, the smoothness of Navier-Stokes equation is proved. In the above conditions, Navier-Stokes equation can be reduced to Laplace equation or Poisson equation to obtain the solutions and to prove the existence and smoothness of the Navier-Stokes equation.
Category: Mathematical Physics

[4] viXra:2308.0144 [pdf] replaced on 2023-09-15 17:19:59

Space-Time as Spinors

Authors: Julian Simon Brown
Comments: 6 Pages.

We uncover an implicit volume-preserving mapping from the $mathbb{C}^4$ space of a bispinor onto the past cone belonging to an arbitrary spacetime point in $mathbb{R}^{3,1}$. The quotient group $SO(3,1)$ is shown to be given by $SO(8)/U(1) cross U(1) cross SO(3)$ and a simple geometrical interpretation is presented. We conclude by showing that the novel mapping allows the reformulation of many equations of motion of boson and fermion fields as integral equations over null cones that are devoid of field derivatives.
Category: Mathematical Physics

[3] viXra:2308.0091 [pdf] replaced on 2024-05-18 21:28:17

Basic Non-Archimedean Functional Analysis Over Non-Archimedean Field ^{∗}ℝ_{c}^{#}. Application to Constructive Quantum Field Theory

Authors: Jaykov Foukzon
Comments: 298 Pages.

Functional analysis works with TVS (Topological Vector Spaces), classically over archimedean fields like R and C. Canonical non-Archimedeanfunctional analysis, where alternative but equally valid number systems such as p-adic numbers p etc. are fundamental, is a fast-growing discipline. This paper deals with TVS over non-classical non-Archimedean fields (Note: Unintelligible portion of the abstract is removed by viXra Admin)
Category: Mathematical Physics

[2] viXra:2308.0014 [pdf] submitted on 2023-08-03 20:38:03

Can You Paint a Painting Without Any Canvas?

Authors: D. Chakalov
Comments: 3 Pages. (Correction made by viXra Admin - Please conform!)

The mathematical blueprint of the arrow of Time [is discussed] in a nutshell.
Category: Mathematical Physics

[1] viXra:2308.0011 [pdf] replaced on 2023-08-25 02:41:07

Significance of the Number Space and Coordinate System in Physics for Elementary Particles and the Planetary System

Authors: Helmut Schmidt
Comments: 21 Pages. I am grateful for every comment!

In physics, a single center of gravity is assumed for forces. However, at least 3 fixed points π, π2, π3are required as the center, orthograde for the 3 spatial dimensions. With this approach, the universe can be understood as a set of rational numbers Q. This is to be distinguished from how we see the world, a 3-dimensional space with time. Observations from the past is the subset Q+ for physics. A system of 3 objects, each with 3 spatial coordinates on the surface and time, is sufficient for physics. For the microcosm, the energy results from the 10 independent parameters as a polynomial P(2). For an observer, the local coordinates are the normalization for the metric. Our idea of a space with revolutions of 2π gives the coordinates in the macrocosm in epicycles. For the observer this means a transformation of the energies into polynomials P(2π). This is used to simulate the energies of a system. c can be calculated from the units meter and day.π/2 c m day = rEarth2This formula provides the equatorial radius of the earth with an accuracy of 489 m. Orbits can be calculated using polynomials P(2π) and orbital times in the planetary system with P(8). A common constant can be derived from h, G and c with the consequence for H0:h G c5s8 /m10 ( π4- π2- π-1 - π-3) 1/2 H0theory= π1/23 h G c3 s5/m8A photon consists of 2 entangled electrons e- and e+mneutron / me=(2π)4 +(2π)3+(2π)2-(2π)1-(2π)0-(2π)-1+2(2π)-2+2(2π)-4-2(2π)-6 +6(2π)-8 = 1838.6836611 Theory: 1838.6836611 me measured: 1838.68366173(89) meFor each charge there is an energy C = -π+2π-1- π-3+2π-5-π-7+π-9- π-12Together with the neutron mass, the result for the proton is: mproton=mneutron + C me= 1836.15267363 meFine-structure constant:1/α= π4+ π3+ π2-1- π-1 + π-2- π-3 + π-7 - π-9- 2 π-10-2 π-11-2 π-12 = 137.035999107The muon and tauon masses as well as calculations for the inner planetary system are given.
Category: Mathematical Physics