| viXra.org > Mathematical Physics > 2401 |
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| viXra.org > Mathematical Physics > 2401 |
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[9] viXra:2401.0134 [pdf] submitted on 2024-01-26 18:16:34
Authors: Mohamed Gamal
Comments: 20 Pages.
The quest for magnetic monopoles, particles possessing a single magnetic pole, has captivated the scientific community for decades. In this study, we explore the possibility of achieving magnetic monopoles by utilizing a magnetic dipole with an infinitely fast polarity switch. Through a comprehensive analysis incorporating equations such as Schrödinger's Equation and the Dirac Equations, we investigate the theoretical foundations and historical context surrounding this fascinating phenomenon. Our research delves into the experiment and results, providing insights into the intricate interplay between magnetic monopoles and fermion-monopole systems. Additionally, we examine the concepts of Ampere's Hypothesis, Dirac Quantisation, Saha's Derivation, electromagnetic duality rotations, and the Wu-Yang Approach. By employing a dipole in a superposition state, and concluding with a general equation that combines different aspects of electromagnetic phenomena, such as electric and magnetic fields, potentials, currents, and their derivatives, to describe the behavior and interactions of these quantities in a generalized manner. we explore the potential realization of magnetic monopoles. This study offers valuable insights into the elusive nature of magnetic monopoles and paves the way for future advancements in this field of research.
Category: Mathematical Physics
[8] viXra:2401.0125 [pdf] replaced on 2024-04-25 07:39:43
Authors: Eckhard Hitzer
Comments: 14 Pages. Submitted to Adv. Appl. Clifford Algebras (2024), 4 tables.
From viewpoints of crystallography and of elementary particles, we explore symmetries of multivectors in the geometric algebra Cl(3,1) that can be used to describe space-time.
Category: Mathematical Physics
[7] viXra:2401.0108 [pdf] replaced on 2024-01-29 22:37:58
Authors: Ervin Goldfain
Comments: 18 Pages.
There are growing signs today that physics far beyond the Standard Model (SM) scale may substantially deviate from the principles of traditional field theory. The goal of this report is to briefly elaborate on the motivation for fractal spacetime and fractional dynamics beyond the realm of effective field theory
Category: Mathematical Physics
[6] viXra:2401.0089 [pdf] replaced on 2024-02-07 20:56:06
Authors: Oussama Basta
Comments: 15 Pages.
This paper presents a theoretical exploration of the Navier-Stokes equations within the innovative framework of Dream Partial Differential Equations (DPDEs). Beginning with the concept of dream numbers and their application in defining new forms of derivatives, we extend these ideas to reformulate the Navier-Stokes equations. Our aim is to investigate whether this novel approach could potentially shed light on the Millennium Problem concerning the existence and smoothness of solutions to these equations in three dimensions.
Category: Mathematical Physics
[5] viXra:2401.0052 [pdf] submitted on 2024-01-13 02:41:44
Authors: Wei Guo
Comments: 70 Pages.
Today, the scientific community comprehensively accepts adding many extra unverifiable things into reality, e.g. extra mass: dark matter, extra energy: dark energy, extra position: superposition, extra dimensions, or even extra parallel reality. Considering reality is not understood completely, adding something into reality's unknown part is indeed a shortcut for explaining some measured discrepancy, but such behaviors are likely to distort the instinct of reality. We report any inherent measured discrepancy involving an indirect measure method that relies on an artificially-defined equivalence, e.g. inertia mass indirectly measures mass by equating mass with force/acceleration. Time measure relies on an equivalence between time and some phenomena, e.g. swing of pendulum, fall of sands or electron jumping between two states. Since Galileo, mathematical equal sign is introduced so naturally between different physical properties. We argue any such equivalence only holds true within a limited phenomena range. Although some method's application range has been summarized, e.g. inertia mass only applies to 'macro, low-speed, inertia-system', we state such scattered descriptions collected from experience are not rigorous. We propose a general frame that can identify a more rigorous application range. Hence, any inherent measured discrepancy results from the measured phenomena exceeding the method's rigorous application range, e.g. remote objects actually exceed the Doppler effect's application range. By ignoring this, large-scale red shift inevitably misleads us to the dark energy's existing necessity. Similarly, dark matter only logically exists to expand the rigorous application range of dynamical mass.
Category: Mathematical Physics
[4] viXra:2401.0006 [pdf] replaced on 2025-02-04 04:20:37
Authors: Miftachul Hadi
Comments: Written using latex, no figure, 5 pages
We propose the existence of a topological object, a Newtonian knot, in the framework of an Abelian Chern-Simons gravity with a small positive cosmological constant in empty (2+1)-dimensional space-time. This proposal is based on the idea that the Ricci curvature tensor could consist of a set of curvature components satisfying the non-trivial Hopf maps, leading to topological structures. Working within the Abelian Chern-Simons (first-order) framework, where the dreibein and spin connection are treated as independent fields, we derive the corresponding field equations and present ansatz solutions for both. Our results suggest that the Newtonian knot may serve as a novel topological feature in low-dimensional gravity theories.
Category: Mathematical Physics
[3] viXra:2401.0005 [pdf] submitted on 2024-01-01 22:49:31
Authors: Miftachul Hadi
Comments: 5 Pages.
By assuming that the Ricci curvature tensor consists of a subset (scalar) field, we propose that Newton's second law of gravitation in (2+1)-dimensional space-time, a linear equation, could have hidden nonlinearity. This subset field satisfies a non-linear subset field theory where in the case of an empty space-time or the weak field, it reduces to Newton's linear theory of gravitation.
Category: Mathematical Physics
[2] viXra:2401.0003 [pdf] submitted on 2024-01-01 22:32:15
Authors: Arturo Tozzi
Comments: 5 Pages.
Local interactions between flock members in absence of centralized control generate collective dynamics characterized by coherent large-scale patterns. We investigate whether aggregates of individuals like birds, swarms and fishes behaving in concert with their neighbors may modify the physical properties of the fluid medium in which they are embedded. Using the K-Nearest Neighbours algorithm to simulate collective animal behavior, we showed that the occurrence of collective dynamics can modify the physical parameters of the phase space in which the interacting individuals’ trajectories take place. This means that lone individuals experience the nearby fluid medium (i.e., the air in case of birds/insects and the water in case of fishes) differently from flock members. In particular, our framework suggests that a bird belonging to a group and acting collectively with its neighbours perceives the nearby atmosphere as denser, compared with an isolated bird.
Category: Mathematical Physics
[1] viXra:2401.0002 [pdf] submitted on 2024-01-01 22:30:32
Authors: Kohji Suzuki
Comments: 24 Pages.
We apply "trinions" put forward in viXra:1712.0131 to the Lie group SU(3) to discuss some physical matters.
Category: Mathematical Physics
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