| 2023-02-02 | Can Alice influence Bob? Yes she can, Maxwell demands it and Noether predicted it; A nonlocal Maxwellian explanation of the EPR experiment.
A. L. Vrba
Abstract We construct a simple EPR experiment: A source of circular polarised entangled photon pairs are sent to Alice and Bob. Alice intersects her beam with an asymmetrical 75:25 polariser, constructed from a cascade of three polarisers, but does no observation. Question: Are the photons Bob receives skewed 25:75? Using a nonlocal classical construct demonstrates from Maxwellian principles a universal conservation phenomenon, as predicted by Noether’s Theorem. The analysis confirms the Bell inequality and the outcome that Bob’s observations are skewed 25:75 which contrasts the expected 50:50 distribution that quantum mechanics predict. A new EPR experiment that uses asymmetrical polarisation gives a nonlocal Maxwellian explanation of the EPR paradox. Full abstract ... BibLaTeX@Online{Vrba-2023-1782, |
| 2023-01-05 | The Schrödinger equation from the point of view of the theory of stability
N. Sotina
Abstract: In 1926, Erwin Schrödinger proposed an equation that describes the wave function for the electron orbits of the Hydrogen atom. The Schrödinger equation is accepted as a postulate because of unclear and possible erroneous steps in his methods. Addressing the erroneous steps, we show that the Schrödinger equation extracts only the stable trajectories from all possible trajectories that are solutions of the Hamilton-Jacobi equation. This approach applied to a Hydrogen atom leads to the following results: (1) Bohr orbits are stable, (2) the electron’s spin in an atom is precessing; (3) the energy of the precessional motion on Bohr orbits satisfies the Rydberg’s formula.
In 1926, Erwin Schrödinger proposed an equation that describing the wave function for the electron orbits of the Hydrogen atom. The Schrödinger equation is accepted as a postulate because of unclear and possible erroneous steps in his methods. Addressing the erroneous steps, we show that the Schrödinger equation extracts only the stable trajectories from all possible trajectories that are solutions of the Hamilton-Jacobi equation. This approach applied to a Hydrogen atom leads to the following results: (1) Bohr orbits are stable, (2) the electron’s spin in an atom is precessing; (3) the energy of the precessional motion on Bohr orbits satisfies the Rydberg’s formula. Full abstract ... BibLaTeX@Online{Sotina-2023-1738, |
| 2022-12-12 | General Maxwellian Dynamics: Maxwellian Solitons as particles
A. L. Vrba
Abstract Waves of all types are described mathematically using partial differential equations. Here, departing from this tradition, I describe waves using a novel system of three simultaneous vector algebraic equations: $\mathscr{M}(\vb u,\vb a,\vb r) = \big\{\vb r= \vb u \cross \vb a;\,$ $\vb u= (\vb a \cross \vb r)/\norm{\vb a}^2;\,$ $\vb a = (\vb r \cross \vb u)/\norm{\vb u}^2 \big\}$ which define Maxwellian wave dynamics for any fields $\vb a$ and $\vb b$ that support wave action and $\vb u$ a velocity vector. That is $\mathscr{M}(\vb u,\vb B,\vb E)$ is a novel reformulation of the Maxwell equations in vacuum. Furthermore, the expressions for the permittivity $\epsilon_0$, permeability $\mu_0$ and the magnetic flux density $\vb B$, in terms of action $h$, elementary charge $e$ and speed of light $c$, are obtained by manipulating $\mathscr{M}$ with the assumption that an EM-wave has action and transports charge. As an application of $\mathscr{M}(\vb u,\vb B,\vb E)$ I show that three dimensional spherical EM-wave structures do exist, in theory at least. They are stationary with finite dimensionality and could provide the basis for describing EM-solitons, which in turn could be used to describe many natural phenomena, including ball lightning among others. Instead of working with fields I reformulate $\mathscr{M}$ in terms of flux vectors $\vb A$ and $\vb R$. Using $\mathscr{M}(\vb u, \vb A, \vb R)$ I describe rotary waves (propeller-like instead of ripples on a pond) and show that rotary waves could be the basis to describe particles, physically, as solitons in terms of Maxwellian wave dynamics. General Maxwellian Dynamics, defined by the simultaneous equations $\vb r= \vb u \cross \vb a;\,$ $\vb u= (\vb a \cross \vb r)/\norm{\vb a}^2;\,$ $\vb a = (\vb r \cross \vb u)/\norm{\vb u}^2$, describes novel rotary waves. These are Maxwellian solitons that could model particles physically. Full abstract ... BibLaTeX@Online{Vrba-2022-1721, |
| 2022-11-13 | The mathematical origin of the Maxwell equations
A. L. Vrba
Abstract:
History records how Maxwell unified the work of Gauss, Faraday and other pioneers which led to the prediction of electromagnetic waves, because the d’Alembert wave equation is derivable from the Maxwell equations.
In contrast, I begin with three simultaneous algebraic-vector equations and show that these define the Maxwell equations and the properties of vacuum. Now instead of using the d’Alembert wave equation to define electromagnetic waves, we can use the three simultaneous algebraic-vector equations to define wave structures that can be three dimensional, e.g. ball lightning. Also, it shows that the electromagnetic phenomenon and the properties of the vacuum are dictated by mathematical requirements. I begin with three simultaneous algebraic-vector equations and show that these define the Maxwell equations and the properties of vacuum. Now instead of using the d’Alembert wave equation to define electromagnetic waves, we can use the three simultaneous algebraic-vector equations to define wave structures that can be three dimensional, e.g. ball lightning. Full abstract ... BibLaTeX@Online{Vrba-2022-1576, |
| 2022-10-17 | Grand Opening; Introduction to Harbingers of Neophysics
A. L. Vrba
Agenda: (i) Aims and Objects (ii) Introducing the Website (iii) Introding the online journal: Harbingers of Neophysics
If you wish to participate in this venture your feedback is important now. Full abstract ... BibLaTeX@Online{Vrba-2022-1228, |