dorsal/arxiv
View SchemaBeyond Uncertainty: the internal structure of electrons and photons
| Authors | W. A. Hofer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9611009 |
| URL | https://arxiv.org/abs/quant-ph/9611009 |
Abstract
The wave-structure of moving electrons is analyzed on a fundamental level by employing a modified de Broglie relation. Formalizing the wave-function $\psi$ in real notation yields internal energy components due to mass oscillations. The wave-features can then be referred to physical waves of discrete frequency $\nu$ and the classical dispersion relation $\lambda \nu = u $, complying with the classical wave equation. Including external potentials yields the Schr\"odinger equation, which, in this context, is arbitrary due to the internal energy components. It can be established that the uncertainty relations are an expression of this, fundamental, arbitrariness. Electrons and photons can be described by an identical formalism, providing formulations equivalent to the Maxwell equations. The wave equations of intrinsic particle properties are Lorentz invariant considering total energy of particles, although transformations into a moving reference frame lead to an increase of intrinsic potentials. Interactions of photons and electrons are treated extensively, the results achieved are equivalent to the results in quantum theory. Electrostatic interactions provide, a posteriori, a justification for the initial assumption of electron-wave stability: the stability of electron waves can be referred to vanishing intrinsic fields of interaction. The concept finally allows the conclusion that a significant correlation for a pair of spin particles in EPR--like measurements is likely to violate the uncertainty relations.
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"abstract": "The wave-structure of moving electrons is analyzed on a fundamental level by\nemploying a modified de Broglie relation. Formalizing the wave-function $\\psi$\nin real notation yields internal energy components due to mass oscillations.\nThe wave-features can then be referred to physical waves of discrete frequency\n$\\nu$ and the classical dispersion relation $\\lambda \\nu = u $, complying with\nthe classical wave equation. Including external potentials yields the\nSchr\\\"odinger equation, which, in this context, is arbitrary due to the\ninternal energy components. It can be established that the uncertainty\nrelations are an expression of this, fundamental, arbitrariness. Electrons and\nphotons can be described by an identical formalism, providing formulations\nequivalent to the Maxwell equations. The wave equations of intrinsic particle\nproperties are Lorentz invariant considering total energy of particles,\nalthough transformations into a moving reference frame lead to an increase of\nintrinsic potentials. Interactions of photons and electrons are treated\nextensively, the results achieved are equivalent to the results in quantum\ntheory. Electrostatic interactions provide, a posteriori, a justification for\nthe initial assumption of electron-wave stability: the stability of electron\nwaves can be referred to vanishing intrinsic fields of interaction. The concept\nfinally allows the conclusion that a significant correlation for a pair of spin\nparticles in EPR--like measurements is likely to violate the uncertainty\nrelations.",
"arxiv_id": "quant-ph/9611009",
"authors": [
"W. A. Hofer"
],
"categories": [
"quant-ph",
"hep-th"
],
"title": "Beyond Uncertainty: the internal structure of electrons and photons",
"url": "https://arxiv.org/abs/quant-ph/9611009"
},
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