# Mathematical Physics

## 1809 Submissions

 viXra:1809.0599 [pdf] replaced on 2019-01-20 08:37:07

### The Mathematical Principles of the Scale Relativity Physics I. History and Physics

Authors: Nicolae Mazilu, Maricel Agop
Comments: 222 Pages.

Even though a physical theory, the Scale Relativity Theory (SRT) means more than physics, as its creator noticed himself. In fact it targets the very foundation of the entire positive knowledge, and we are set here to prove this fact. Mathematically one needs the description of a transition between infrafinite, finite and transfinite orders, while physically one needs a transition between microcosmos, daily world (quotidian cosmos) and universe. With SRT the mathematical categories of infrafinite, finite and transfinite, become differentiae of the same general concept of ‘finite’. As it turns out, there is a parallelism of the physical transition between the worlds and the mathematical transition between degrees of ‘finite’: it is followed here historically and logically, in a first part of the present work, with the benefit of extracting the mathematical principles of a physical description of matter.
Category: Mathematical Physics

 viXra:1809.0450 [pdf] replaced on 2018-09-23 14:57:31

### How Gas and Force Work Together to Create Geometrical Dispersed Patterns Based On an Object's Shape

Authors: Andrew Dente
Comments: 9 Pages. This manuscript has no operational errors confirmed by reviewers and outside reviewers.

This unique mathematical method for understanding the flow of gas through each individual objects shape will show us how we can produce physical functions for each object based on the dissemination of gas particles in accordance to its shape. We analyze its continuum per shape of the object and the forces acting on the gas which in return produces its own unique function for the given object due to the rate at which forces were applied to the gas. We also get to examine the different changes in the working rate due to the effect of its volume and mass from the given objects shape with our working equation discovered through Green’s and Gaussian functions.
Category: Mathematical Physics

 viXra:1809.0249 [pdf] replaced on 2018-10-02 03:55:00

### A Classification of Quantum Particles

Authors: Vu B Ho
Comments: 23 Pages. This work has been published in Global Journal of Science Frontier Research: A Physics and Space Science

In this work, by summarising our recent works on the differential geometric and topological structures of quantum particles and spacetime manifold, we discuss the possibility to classify quantum particles according to their intrinsic geometric structures associated with differentiable manifolds that are solutions to wave equations of two and three dimensions. We show that fermions of half-integer spin can be identified with differentiable manifolds which are solutions to a general two-dimensional wave equation, in particular, a two-dimensional wave equation that can be derived from Dirac equation. On the other hand, bosons of integer spin can be identified with differentiable manifolds which are solutions to a general three-dimensional wave equation, in particular, a three-dimensional wave equation that can be derived from Maxwell field equations of electromagnetism. We also discuss the possibility that being restricted to three-dimensional spatial dimensions we may not be able to observe the whole geometric structure of a quantum particle but rather only the cross-section of the manifold that represents the quantum particle and the space in which we are confined. Even though not in the same context, such view of physical existence may comply with the Copenhagen interpretation of quantum mechanics which states that the properties of a physical system are not definite but can only be determined by observations.
Category: Mathematical Physics

 viXra:1809.0244 [pdf] submitted on 2018-09-11 11:49:24

### CFD Study of Pikes Peak Race Car 2017

Authors: Timoteo Briet Blanes
Comments: 51 Pages.

CFD STUDY OF PIKES PEAK RACE CAR 2017.
Category: Mathematical Physics

 viXra:1809.0232 [pdf] submitted on 2018-09-12 01:58:30

### Electron Capture: a More Complete Equation

Authors: Antonio Puccini
Comments: 8 Pages.

The Electron Capture(EC) is a peculiar phenomenon that unstable atoms can use to become more stable. During EC, an electron(e) in an atom's inner shell is drawn into the nucleus where it combines with a proton(P), forming a neutron(N) and a neutrino(): P + e  N + (1). Electrons are usually captured from the inner K layer, leaving 'holes' process or Auger’s es. Such a capture may also leave the nucleus in an excited state, causing it to release γ rays. This emission of highly energetic electro-magnetic radiation(EMR), generally originates the production of pairs of light particles: γ  e + e+(2), or:γ   + ῡ(3), where ῡ is an anti-neutrino. Yet, if this phenomenon of materialization of the EMR that accompanies the EC, manifesting in the production of lepton pairs(described in this case by the Eq.3), was represented in the equation describing the EC, we could better justify that  appeared ex abrupto in Eq.(1). Therefore, taking into account also the EMR(γ) emitted at the time of the EC, and inserting it in Eq.(1) on the side of the captured e, we have: P + e + γ  P + e + ῡe.+ e  N + e(4), that is:P + e + ῡe.+ e ↔ N + e(5). However, as the e mass is considered  2eV, Eq,(1) and (5) show a conspicuous mass gap problem, since according to Pauli and Fermi the  proposed to compensate for the mass gap of the N decay must have the same mass of e. Unless one wishes to hypothesize the existence of the neutral electron(e°). In this case, Eq.(5) should be rewritten as follows: P + e + ē° + e° ↔ N + e°(6).
Category: Mathematical Physics

 viXra:1809.0192 [pdf] submitted on 2018-09-11 02:27:48

### On the Influence of Transient Aerodynamic Heave Vibrations on Racing Car Suspension Parameters: Aero Post Rig in a Quarter Car Test

Authors: Timoteo Briet Blanes
Comments: 41 Pages.

Vehicles running at high speed are greatly influenced by their aerodynamic profile. Racing car teams strive to tune the setup seeking higher levels of downforce aerodynamic load. Wind tunnel tests or track data for specific vehicle positions are useful but incomplete and very expensive. Transient loads on the vehicle come from very different sources and, to date, there is no established methodology to take them into consideration. Computer simulation seems to be a good starting point to study the effect of transient aerodynamic loads in the design and optimization of the tuning of the suspension of a racing car. This paper studies the effect of transient aerodynamic loads on the downforce of a vehicle. Heave vibrations on an aileron are analyzed on a simulation model. The data obtained in this simulation model are validated both in a steady and a transient state for different frequencies (1-800Hz). These results lead to the obtainment of a transfer function for the downforce on the aileron in question. Finally, a new quarter car model including aerodynamic effects from these studies is presented and some results on the influence of heave transient aerodynamics loads on a racing car are obtained.
Category: Mathematical Physics

 viXra:1809.0191 [pdf] submitted on 2018-09-11 02:30:13

### Improving Suspension in a Quarter Car Model Test from Aero Post Rig Analysis: Performance Index

Authors: Timoteo Briet Blanes
Comments: 57 Pages.

The performance of an F1 race car is greatly influenced by its aerodynamics. Race teams try to improve the vehicle performance by aiming for more levels of downforce. A huge amount of time is spent in wind tunnel and track testing. Typical wind tunnel testing is carried out in steady aerodynamic conditions and with car static configurations. However, the ride heights of a car are continuously changing in a race track because of many factors. These are, for example, the roughness and undulations of the track, braking, accelerations, direction changes, aerodynamic load variations due to varying air speed and others. These factors may induce movements on suspensions components (sprung and unsprung masses) at different frequencies and may cause aerodynamic fluctuations that vary tires grip. When the frequency of the movement of a race car is high enough the steady aerodynamic condition and the car static configurations are not fulfilled. Then, transient effects appear and the dynamics of the system changes: heave, pitch and roll transient movements of the sprung mass affect both downforce and center of pressure position. The suspension system have to cope with them, but in order for the suspension to be effective, unsteady aerodynamics must be considered. The main objective is to model the effects of unsteady aerodynamics and know really the car dynamic, with the aim of optimizing the suspension performance, improving tire grip and finally reducing lap times.
Category: Mathematical Physics

 viXra:1809.0088 [pdf] submitted on 2018-09-04 13:57:14

### Smooth Unique Periodic Solutions in the Absence of External Force for Navier_stokes Three Dimensional Equation

Authors: Biruk Alemayehu Petros
Comments: 3 Pages. millenium prize problem counter example.

Abstract Due to the existence of huge number of different information on Navier_Stokes equation on internet, introduction and method used to come to the following solution is less important than the solution its self. As a result the paper shows the periodic solution for Navier_Stokes equations. All conditions for physically reasonable solution as posted by clay mathematics institute is fulfilled. The following solution is counter example for existence of smooth unique periodic solution.
Category: Mathematical Physics

 viXra:1809.0069 [pdf] replaced on 2019-03-24 05:13:22

### Quasi-Exactly Solvable PT-Symmetric Sextic Oscillators Resulting from Real Quotient Polynomials

Authors: Spiros Konstantogiannis
Comments: 15 Pages. Published on the Journal for Foundations and Applications of Physics, vol. 6, No. 1 (2019), pp. 55-68

We present a method of constructing PT-symmetric sextic oscillators using quotient polynomials and show that the reality of the energy spectrum of the oscillators is directly related to the PT symmetry of the respective quotient polynomials. We then apply the method to derive sextic oscillators from real quotient polynomials and demonstrate that the set of resulting oscillators comprises a quasi-exactly solvable system that contains the real, quasi-exactly solvable sextic oscillator. In this framework, the classification of the PT-symmetric sextic oscillators on the basis of whether they result from real or complex quotient polynomials is a natural consequence.
Category: Mathematical Physics

 viXra:1809.0061 [pdf] submitted on 2018-09-03 13:36:10

### Physically Consistent Probability Density in Noncommutative Quantum Mechanics

Authors: Andrey Gomes Martins, R.V. Lobato, G.A. Carvalho, A.P.N. Cronemberger
Comments: 5 Pages.

We formulate and solve the problem of boundary values in non-relativistic quantum mechanics in non-commutative boundary spaces-times. The formalism developed can be useful to the formulation of the boundary value problem in in Noncommutative Quantum Mechanics
Category: Mathematical Physics

 viXra:1809.0052 [pdf] replaced on 2018-09-27 21:31:04

### Gravitational Periodicity from Special Relativity

Authors: Jack Bidnik
Comments: 7 Pages.

Abstract © US 2015 Gravitational Periodicity from Special Relativity by Jack Bidnik This is my derivation of the sinusoidal variation of planetary orbits by means of relativistic relative momentum of two masses. It may be considered Chapter 3 of my paper Gravitational Forces Revisited (GFR),  http://vixra.org/abs/1707.0128 where I derived a force, Fm, which I analogized to Newton's force of gravity by the equation Fm = Gs Mm /r^2, where Gs is a velocity dependent variable. Here I derive the same force, but I use a separate method to show that it is the force of gravity. This chapter can be seen as a completely independent, stand alone, method of deriving gravity from Special Relativity, and that Fm is both a necessary and a sufficient condition for the gravitational force.
Category: Mathematical Physics