Mathematical Physics

Geometrical Optics as an Abelian U(1) Local Gauge Theory

Authors: Miftachul Hadi
Comments: Written in English, 1 page, no figure.

We point out that geometrical optics can be treated as an Abelian $U(1)$ local gauge theory and we observe what it implies.
Category: Mathematical Physics

The Zero-Dimensional Physical Theory (Vi): Charting the Clay Mathematics Institute Millennium Prize Problems and Beal Conjecture

Authors: Stephen H. Jarvis
Comments: 32 Pages.

Explored here are the Clay Mathematics Institute Millennium Prize problems, namely the Poincaré conjecture, the Hodge conjecture, the Riemann hypothesis, the Birch and Swinnerton-Dyer conjecture, the Yang-Mills existence and mass gap problem, the Navier-Stokes existence and smoothness problem, and the P versus NP problem. Here is identified how the possible solutions to each of these problems can be of use to physical theories. To be charted here therefore for each of these problems is their relevance to dimensional number theory in their application to physical theories, and if indeed a common dimensional number theory basis can solve these problems, and if so how, and if not why. In this charting process, it is found that curved 4d spacetime is an unlikely solution basis given the failure of the currently accepted solution to the Poincaré conjecture to solving the remaining problems. A new dimensional number theory basis is therefore proposed as a solution for the problems, and their solutions identified. By such, new solutions are also formed for Fermat’s conjecture, Goldbach’s conjecture, the twin prime problem, and the Beal conjecture.
Category: Mathematical Physics

Kolmogorov Entropy and Physics Beyond the Standard Model

Authors: Ervin Goldfain
Comments: 11 Pages. Part 1

We argue here that the high-energy behavior of fundamental interactions can be interpreted as manifestation of Kolmogorov (-K) entropy. The conventional classification of fields based on Poincaré symmetry appears to be rooted in the chaotic regime of nonlinear dynamics far above the Standard Model scale
Category: Mathematical Physics

Property on Levitation for Ehd and Electrostatic Propulsion Device Using Multi-Layered Electrode

Authors: Taku Saiki
Comments: 8 Pages.

Electro hydro dynamic (EHD) and electrostatic propulsion devices has no moving parts and, in the air, operates on electrical energy. It is expected to develop electric propulsion systems without future moving parts of airplanes and helicopters propellers in the future. In this time, we developed an EHD propulsion device with multiple layers of electrodes, and confirmed the effectiveness of the multiple layers. Usually, the metal weight increases and the input voltage threshold for levitation should increase as the number of layers increases. In the experiment, it was confirmed that the threshold voltage for levitation is kept constant even if the weight is increased by multilayering the electrodes. This means that the power efficiency of the device per unit weight is also improved at the same time. However, it was also found that this threshold increases if the size of the apparatus is increased.
Category: Mathematical Physics

The Need for Restrictions, with Mathematical Description Physical Processes

Authors: Aleksander Maltsev
Comments: 8 Pages. In Russian

The subject of the study was the validity of claims of excessive mathematicalization of physics. To solve the problem, the individuality and interrelation of constituent components of Nature is accepted as an axiom. The description of individuality and interrelation, on the basis of positive and negative feedback is offered. Positive feedback describes the polar interaction. Negative feedback describes the mutual dependence of the components. The appearance of symbiosis is shown, as well as the evolution of the dual connection. Restrictions of the system's physical minimum and preservation of its functionality are considered. The practical impossibility of creating stable particles from unstable ones is postulated. An explanation of constants and existence of mathematical limitations in describing the reality is obtained. Necessity of restrictions of mathematics application is shown, at the description of physical processes. The results of restrictions on the application of mathematics in physics are considered.Key words: physical sense, image, form, abstraction, efficiency, duality, mutual dependence, functionality, uroboros, emptiness.
Category: Mathematical Physics

About the Description of Nature

Authors: Sven Gohlke
Comments: 14 Pages.

I develop a variable-speed-of-light model as an alternative to the astronomical standard model. It combines quantum and relativistic physics.
Category: Mathematical Physics

De Tegenslagen van de Theoretische Natuurkunde (The Misadventures of Theoretical Physics)

Authors: Hans van Leunen
Comments: 122 Pages. (English Translation added by viXra Admin - Please conform!)

De zoektocht naar een betrouwbare basis van de fysieke werkelijkheid heeft veel tegenslagen gekend en verloopt traag. Er werden zijwegen genomen die niet tot het gewenste doel leidden. Dit document laat zien dat er een alternatief pad is dat leidt tot een beter resultaat. Dit resultaat kan in één zin worden weergegeven. Deze zeer korte samenvatting behoeft wel de nodige uitleg. Het documnt geeft deze uitleg. Het document toont ook de relatie tussen de basis en verschillende aspecten van de natuurkunde, zoals kwantumfysica, klassieke fysica, optica en kosmologie.

The search for a reliable basis of physical reality has seen many setbacks and progresses slowly. Side roads were taken that did not lead to the desired goal. This document shows that there is an alternative path that leads to a better result. This result can be displayed in one sentence. This very short summary does require some explanation. The document provides this explanation. The paper also shows the relationship between the basics and various aspects of physics, such as quantum physics, classical physics, optics and cosmology.
Category: Mathematical Physics

A Model for Combining Classical and Quantum Physics Based on Lorentz Invariants (Part 2)

Authors: Aleksander Maltsev
Comments: 15 Pages. In Russian

A mathematical description of the phase transition of matter from the solid state to the liquid state, gas, and the difference of matter's energy, in a rectilinear motion and in the gaseous state, has been obtained. The transition of linear motion into rotational motion is explained. The transformation, presented, is analogous to the motion that creates a new degree of dimensionality. Transformation of physical vacuum into matter is represented by the analog of gas condensation into a solid state. The cause of neutron instability in the free state is considered. A variant of the origin of matter and physical vacuum from the previous state is proposed. The existence of the present as a mediator between the past and the future is analyzed. Evolution of the Universe in Space and Time is described. Astonishment is expressed by the coincidence of the description of the Universe evolution with the ancient Greek description of the Ouroboros.
Category: Mathematical Physics