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Transluminal Energy Quantum (TEQ) Model of the ElectronPowerPoint Presentation

Transluminal Energy Quantum (TEQ) Model of the Electron

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Santa Rosa Junior College

Santa Rosa, CA

American Physical Society Annual Meeting, Denver CO

Session T14: New Directions in Particle Theory

May 4, 2009

www.superluminalquantum.org

Transluminal Energy Quantum (TEQ) Model of the ElectronA Transluminal Energy Quantum Generates a Photon or an Electron

A transluminal energy quantum (TEQ)

- is a helically moving point-like quantum object having a frequency and a wavelength, and carrying energy and momentum.
- can easily pass through the speed of light (being massless).
- can generate a photon or an electron depending on whether the energy quantum’s helical trajectory is open or closed.

TEQ Model of the Electron

A charged TEQ moves in a closed double-looped helical trajectory with its wavelength (helical pitch) equal to one Compton wavelength.

The TEQ moves along the surface of a closed self-intersecting torus.

Electron Quantum’s Trajectory: Speed, Distance and Time

Along the TEQ’s trajectory for an electron “at rest”:

- The maximum speed is 2.515 c
- The minimum speed is 0.707 c
- Superluminal time: 57%
- Subluminal time: 43%
- Superluminal distance: 76%
- Subluminal distance: 24%

Speed of the Electron’s TEQ along its Double-looped Helical Trajectory

TEQ Trajectory in the Electron Model

Parametric equations of the TEQ trajectory - a closed, double-looped helical trajectory along the surface of a self-intersecting spindle torus

Parameters of the TEQ Electron Model Compared to the Dirac Electron

Dirac Equation TEQ Model Electron Parameter Parameter

- Mass/energy Compton wavelength
- Point-like charge Point-like charge
- Spin Radius of helical axis
- Magnetic moment Radius of helical ring
- Electron or positron Chirality of helix L,R

Heisenberg Uncertainty Relations Electronand the TEQ Electron Model

- TEQ electron model’s x and y coordinates:
- Heisenberg uncertainty relations:

The TEQ electron model is ‘under the radar’ of the Heisenberg uncertainty relations.

Experimental Support Electronfor the TEQ Electron Model

- Electron Channeling experiment (Saclay, France)
P. Catillon et al, A Search for the de Broglie Particle Internal Clock by Means of Electron Channeling, Foundations of Physics (2008) 38: 659–664

- Found experimental evidence (resonance effect in electron channeling through a thin silicon crystal) at twice the de Broglie frequency as an “internal clock” in an electron. The de Broglie frequency is the frequency of a photon of light having the electon’s mass:
De Broglie frequency:

from

- The de Broglie frequency, as well as twice this frequency -- the zitterbewegung (jitter) frequency -- are contained in the TEQ model of the electron.

Electron Channeling through Silicon Crystal – Experimental Results

The dip in counts at electron momentum 81.1 MeV/c corresponds to an electron clock frequency of two times the de Broglie frequency (i.e. the zitterbewegung frequency)

From: Catillon et al, Foundations of Physics (2008) 38: 659–664

Conclusions Results

- The TEQ electron model is a spatially-extended quantum model containing several Dirac equation-related quantitative properties of the electron.
- The TEQ electron model can be tested and compared with other zitterbewegung-type electron models through further electron channeling experiments in silicon or other crystals.

References Results

- Gauthier, R., “FTL Quantum Models of the Photon and Electron,” in proceedings of Space Technology and Applications International Forum (STAIF-07), edited by M. El-Genk, AIP Conference Proceedings 880, Melville, NY, (2007), pp. 1099-1108. Available at http://superluminalquantum.org/STAIF-2007article.pdf
- Gauthier, R., Transluminal Energy Quantum (TEQ) Model of the Electron, paper presented at the Annual Meeting of the American Physical Society, Denver, CO, May 4, 2009. Available at http://www.superluminalquantum.org/DenverAPSarticle.pdf

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