Mathematical Physics

1805 Submissions

[6] viXra:1805.0329 [pdf] submitted on 2018-05-19 02:11:41

A Classification of Geometric Interactions

Authors: Vu B Ho
Comments: 5 Pages.

In this work we discuss the possibility to classify geometric interactions with respect to the dimensions of the submanifolds which are decomposed and emitted from a differentiable manifold. The manifold, which is assumed to be an elementary particle, can be assumed to have the mathematical structure of a CW complex which is composed of n-cells. The decomposed n-cells will be identified with force carriers. In particular, for the case of differentiable manifolds of dimension three, there are four different types of geometric interactions associated with 0-cells, 1-cells, 2-cells and 3-cells. We discuss in more details the case of geometric interactions that are associated with the decomposition of 3-cells from a differentiable manifold and show that the physical interactions that are associated with the evolution of the geometric processes can be formulated in terms of general relativity.
Category: Mathematical Physics

[5] viXra:1805.0170 [pdf] submitted on 2018-05-08 08:04:23

Dynamics of Boundary Layer Separating from Surface to the Outer Flow

Authors: Sergey V. Ershkov
Comments: 10 pages, 7 figures; Keywords: Navier-Stokes equations, non-stationary flow, boundary layer

Solving the Navier-Stokes equations for 3D boundary layer of the incompressible flow of Newtonian fluids is the most unsolved problem in fluid mechanics. A lot of authors have been executing their researches to obtain the analytical and semi-analytic solutions for the boundary layer approximation of Navier-Stokes equations, even for example for 2D case of compressible gas flow. But there is an essential deficiency of 3D solutions for the boundary layer indeed. In current research, an elegant ansatz is developed to obtain 3D solutions for the boundary layer approximation of Navier-Stokes equations of incompressible fluids (in the vicinity of the point of separating of boundary layer from surface to the outer ideal flow). The governing equation for such the process is proved to be the Poisson equation for each the component of velocity field of boundary layer flow, which could nevertheless be reduced to the Laplace equation in case of the uniform outer flow.
Category: Mathematical Physics

[4] viXra:1805.0159 [pdf] submitted on 2018-05-06 12:58:26

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

Authors: Timoteo Briet Blanes, Ignacio Suarez Marcelo, Enrique Scalabroni
Comments: 56 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

[3] viXra:1805.0111 [pdf] submitted on 2018-05-05 08:45:51

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

Authors: Timoteo Briet Blanes, Ignacio Suarez Marcelo, Enrique Scalabroni
Comments: 40 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

[2] viXra:1805.0073 [pdf] replaced on 2018-05-11 01:09:25

Matter, Antimatter, Dark Matter and Space-Time Travel in an Infinite and Eternal Universe with Extra Dimensions

Authors: Rodney Bartlett
Comments: 23 Pages. Cite:

When his paper regarding mathematical formulas creating reality was submitted to a scientific journal and rejected as being too speculative, U.S. cosmologist Max Tegmark showed the rejection letter to his friend John Wheeler (1911-2008), a Princeton theoretical physicist. Wheeler said, “Extremely speculative? Bah!” Then he reminded Tegmark that some of the original papers on quantum mechanics were also considered extremely speculative. After Wheeler sent the journal his objection to their objection, Tegmark's paper was published. This paper of mine can also be seen as a "too speculative" extension of Werner Heisenberg's matrix version of quantum mechanics. In particular, the part equating the Mobius strip to a,b,c,d,e and being a relation of matrix mathematics – and the part which says Brouwer's Fixed Point Theorem shows the universe must be infinite and eternal (the universe may seem unrelated to the quantum world, but the former is composed of the latter and this article's cosmology is a direct outgrowth of matrix mechanics). What is the Dark Matter that holds together galaxies and galaxy clusters? Nobody knows. Some say it's gravitational, and requires modification of Einstein's General Relativity. Some say it's a form of matter, consisting of dark particles. Those ideas are combined here with 20th-century physicist Richard Feynman's interpretation of advanced and retarded waves. (Feynman found that adding the contributions of advanced and retarded waves creates a consistent quantum theory called QED - Quantum Electrodynamics - in which the terms that might violate causality cancel precisely.) I believe LIGO (the Laser Interferometer Gravitational-wave Observatory) will build on Richard Feynman's QED and his love of "advanced" waves that travel backwards in time. There should be several applications of this extension of QED: (1) Radioactive dating of dinosaur fossils, ancient rocks, and Earth itself should all result in readings that are many times less - at least a thousand (for dinosaurs), to nearly a million (for Earth). (2) Health might be dramatically improved and lifespan dramatically increased. (3) United with electronic binary digits, cosmic topology and mathematical Wick rotation; extra large-scale dimensions could be discovered - and these dimensions joined with matter and mass, space and time into one physical space-time unification. (4) Matter, antimatter and dark matter should become viewed as different aspects of one thing when combined with advanced waves, Wick rotation and the mathematical Matrix. (5) Maths like Brouwer's Fixed Point Theorem and so called "imaginary" time agree that space-time can be seen as one literally infinite and eternal "block" universe containing all the past as well as the entire future (the Cosmic Microwave Background and redshift objections are addressed). (6) The new maths in this article tells us that our present maths is incomplete within a unified universe, is therefore relied upon too much, and is incapable of producing a successful theory of Quantum Gravity (unification of quantum mechanics and Einstein's theory of gravity, general relativity). Paradoxically, "new maths" also says ∞= 0 (the infinity of the universe's size equals the zero-ness of space-time/gravity) and points to a new physics. Science seems to avoid infinity at all costs – equating it with zero will give scientists many more headaches. Maybe they could accept infinity if ∞= 0 was viewed as the ultimate form of renormalization – a renormalization that, thanks to E=mc2, doesn't reduce the infinite size of the universe but reduces the distances in space and between times to zero.
Category: Mathematical Physics

[1] viXra:1805.0039 [pdf] submitted on 2018-05-01 18:49:08

Physical Interactions as Geometric Processes

Authors: Vu B Ho
Comments: 7 Pages.

In this work we discuss the possibility to identify physical interactions with geometric processes whose revolutions can be described by the Ricci flow. In particular, we show that it is possible to suggest that the charge of an elementary particle does not exist as a physical quantity possessed by the elementary particle itself but rather a collective dynamical effect that is associated with the intermediate particles, which are the force carriers. These force carrying particles have the geometric structures of two-dimensional spheres or n-tori. Furthermore, since the Ricci flow on two-dimensional manifolds does not give rise to neckpinches and if such geometric flows can be shown to not exist then it can be stated that the force carrying particles are the only particles that are truly fundamental.
Category: Mathematical Physics