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| viXra.org > Mathematical Physics > 2410 |
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[10] viXra:2410.0169 [pdf] submitted on 2024-10-28 19:14:50
Authors: Marcello Colozzo
Comments: 5 Pages.
We integrate the nonlinear Schrödinger differential equation, looking for "lone wave" solutions, and then use the method ofindeterminate coefficients.The integration is in closed form for the free particle, and then we integrate numerically for the particle subject to a weak periodic potential. In both cases, the system is one-dimensional.
Category: Mathematical Physics
[9] viXra:2410.0122 [pdf] submitted on 2024-10-21 21:00:23
Authors: Temur Z. Kalanov
Comments: 7 Pages.
The irrefutable proof of the incorrectness of the Korteweg—De Vries (KdV) equation is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The unity of formal logic and rational dialectics is the only correct criterion of truth. The proof leads to the following irrefutable statement: the Korteweg—De Vries (KdV) equation — a partial differential equation with respect to the dimensionless displacement as the function of the dimensionless coordinate and the dimensionless time — represents an incorrect equation in physics. The proof of this statement is based on the following irrefutable assertions: (1) the Korteweg-de Vries equation does not describe a physical phenomenon (process) because the dimensionless displacement, the dimensionless coordinate and the dimensionless time are non-physical quantities; (2) in the formal logical point of view, the physical (or geometric) interpretation of the equation and solutions of the equation are inadmissible; (3) comparison with experimental data (which have dimensions) is inadmissible (impossible).Consequently, the Korteweg-de Vries equation is a gross error in physics.
Category: Mathematical Physics
[8] viXra:2410.0119 [pdf] submitted on 2024-10-21 20:58:20
Authors: Jaykov Foukzon
Comments: Physics Essays Volume 39,Issue1, Pages 53-87, 2026 https://physicsessays.org/browse-journal-2/product/2172-7-jaykov-foukzon-model.html
A new non-Archimedean approach to interacted quantum fields is presented. In proposed approach, a field operator φ(x,t) no longer a standard tempered operator-valued distribution, but a non-classical operator-valued function. We prove using this novel approach that the quantum field theory with Hamiltonian P(φ)_4 exists and that the corresponding C^* algebra of bounded observables satisfies all the Haag-Kastler axioms except Lorentz covariance. We prove that the λ(φ^4 )_4 quantum field theory model is Lorentz covariant. In this paper we consider a some-what different hyperfinite cut-off theory, namely the λφ_4^4 theory in a periodic box. This gives a cut-off interaction which is translation invariant, and therefore it is useful for the study of the vacuum state. In a finite interval we prove that the total Hamiltonian is self #adjoint and has a complete set of normalizable eigenstates. https://physicsessays.org/browse-journal-2/product/2172-7-jaykov-foukzon-model.html
Category: Mathematical Physics
[7] viXra:2410.0115 [pdf] submitted on 2024-10-20 22:07:42
Authors: Carlton Frederick
Comments: 2 Pages. (Note by viXra Admin: This submission is a stub needing improvement)
Perhaps the most puzzling aspect of entanglement[1] is that a measurement ofa local member of a pair of entangled particles causes an instantaneous reaction in the distant particle. This model makes use of stochastic time[2] which posits that time isn't a smooth blanket over space-time. This says thata distant observer observes each particle of the pair at a different proper time. The initially close together pair in their proper frame of reference only to a distant observer only appears to spread. In this model there is no action at a distance.
Category: Mathematical Physics
[6] viXra:2410.0087 [pdf] replaced on 2025-05-15 13:43:13
Authors: Alfonso De Miguel bueno
Comments: 29 Pages.
This paper presents a novel interacting fields model that reconceptualizes the neutron as an intermediate state linking proton and antiproton transformations, incorporating antimatter and dark matter into nucleon dynamics.Within an octonionic framework, the model offers a geometric interpretation of QCD and its unification with weak and electromagnetic interactions.It proposes a curvature-based mechanism for the emergence of mass, charge, and fundamental interactions, leading to several quantitative predictions, including a geometric explanation of the fine-structure constant and Planck’s constant.
Category: Mathematical Physics
[5] viXra:2410.0079 [pdf] submitted on 2024-10-13 05:53:54
Authors: Makoto Itoh
Comments: 99 Pages.
In this paper, we show that many well-known chaotic maps can be generated by discretizing the equations of memristor or nonlinear resistor circuits using the Euler method or the central difference method.These examples show that the dynamics of a wide variety of nonlinear maps, such as those found in engineering, physics, chemistry, biology, and ecological systems, are closely related to the discretized memristor or nonlinear resistor circuit equations. Furthermore, the discretized memristor circuit equations also propose the new modified or simplified version of the well-known chaotic maps. We also propose the generalized extended memristor with non-volatility property. To satisfy the non-volatility property, the $v-i$ characteristic of the generalized extended memristor is defined by two bounded functions, namely the resistive-fuse function and the saturation function. Using this element, the discretized two-element memristor circuits can generate any two-dimensional chaotic map. The computer simulations in this paper show that the discretization of the memristor or nonlinear resistor circuit equations is one of the most promising methods to find interesting chaotic maps. Furthermore, some of the discretized three-dimensional circuit equations clearly show the topological structure of the chaotic attractors.
Category: Mathematical Physics
[4] viXra:2410.0058 [pdf] submitted on 2024-10-12 03:52:12
Authors: Guy Abitbol
Comments: 52 Pages. published previously as youtube video on Jan 17, 2022
How everything works & How it was created from nothing
Category: Mathematical Physics
[3] viXra:2410.0042 [pdf] submitted on 2024-10-08 07:53:21
Authors: Marcello Colozzo
Comments: 4 Pages.
Recently a group of physicists measured a negative "group delay" for a pulse of light transmitted in a cold cloud of Rubidium atoms. In this paper we will study the propagation of a wave packet incident on a dispersive and dissipative medium, determining the "transit time" of the packet, which is the analogue of the group delay. We will show that if the phase of the transmitted wave is decreasing in correspondence with the value of the wavenumber that determines the peak value of the amplitude of the spectral density of the packet, the transit time is negative.
Category: Mathematical Physics
[2] viXra:2410.0025 [pdf] replaced on 2024-10-08 18:56:50
Authors: Alfonso De Miguel Bueno
Comments: 12 Pages. 10 diagrams
This preprint proposes a possible relationship between bigravity and interacting Higgs fields, offering a broader framework that establishes a physical connection between the massive and massless ripples generated by gravitational fields. This framework also provides a unified scenario in which the four known fundamental forces — gravitational, electromagnetic, strong, and weak — are interconnected.
Category: Mathematical Physics
[1] viXra:2410.0020 [pdf] submitted on 2024-10-04 10:33:35
Authors: Arend Lammertink
Comments: 9 Pages.
This paper presents a unified second-order model that resolves key limitations of traditional first-order potential theories in both fluid dynamics and electromagnetism. By employing the vector Laplacian and defining a space-time derivative operator, d/dt = −k∆, we establish a fundamental connection between spatial structure and temporal evolution, providing a more complete and physically consistent framework. This approach integrates the electric and magnetic fields with force and torque densities, reinterpreting charge, current, and electromagnetic fields in terms of fluid dynamic quantities such as mass density and momentum diffusivity. Additionally, the model proposes a potential unification of gravitational and electromagnetic forces by expressing the gravitational potential as proportional to the square of the electric field. This redefinition creates a seamless link between the two forces, treating gravitational interactions as a secondary effect of electric field behavior.Higher-order time derivatives, such as jerk and yank, are introduced to further extend the framework's ability to describe dynamic systems in both fluid and electromagnetic contexts. The results demonstrate consistency across scales, from quantum phenomena to cosmological dynamics, offering a comprehensive alternative to existing theories while eliminating gauge fixing ambiguities and enhancing mathematical coherence.
Category: Mathematical Physics
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