Superluminal Quantum Models of the Electron and the Photon

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Superluminal Quantum Models of the Electron and
the Photon

• Richard Gauthier
• www.superluminalquantum.org
• American Physical Society Annual Meeting
• Dallas, April 23, 2006
• Session H12 New Directions in Particle Theory

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Introduction

• 1. Superluminal quantum model of the photon
  Uncharged superluminal quantum moves in an open
  helical trajectory of radius .
• 2. Superluminal quantum model of the electron
  Charged superluminal quantum moves in a closed
  double-looped helical trajectory with equal
  to one Compton wavelength .
• 3. Zitterbewegung (Dirac equation electrons
  jittery motion) and the superluminal quantum
  model of the electron

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Parameters of superluminal quantum model of the
photon

• Photon Superluminal
  Quantum Parameter Model Parameter
• Detected particle Uncharged superluminal
  point-like quantum
• Energy Angular frequency along helix
• Momentum Pitch of helix
• Spin Radius of helical axis
• Polarization Helicity of helix
• Speed Longitudinal velocity component

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Trajectory equations for superluminal quantum
model of a photon
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Superluminal Quantum Model of the Photon
Superluminal quantums speed along helical
trajectory is 1.414c.
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Superluminal quantum model of the photon and the
Heisenberg uncertainty relation

• In photon model superluminal quantums
  transverse coordinates
• Heisenberg uncertainty relation

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Parameters of superluminal quantum model of the
electron

• Electron Superluminal
  Quantum Parameter Model
  Parameter
• Mass/energy Compton wavelength
• Charge Point-like charge
• Spin Radius of helical axis
• Magnetic moment Radius of helix
• Electron or positron Helicity of helix

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Superluminal quantum model of the electron

• Equations of the superluminal quantums
  trajectory a closed, double-looped helix

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Two views of the superluminal quantum model of
the electron
The small circle is the axis of the double-looped
helical trajectory. The maximum speed of
superluminal quantum along its trajectory is
2.515c .
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Dirac equations Zitterbewegung (jittery
motion) properties of the superluminal quantum
model of the electron

• 1. Superluminal quantum circulates with a
  longitudinal component of velocity equal to the
  speed of light c (The eigenvalue of the Dirac
  Zitterbewegung solution).
• 2. Superluminal quantum model of the electron has
  internal Zitterbewegung angular frequency
• 3. Superluminal model of the electron has
  Zitterbewegung amplitude
• Superluminal quantum model of electron

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Other Dirac equation properties of the
superluminal quantum model of the electron

• 4. Spin of superluminal quantum model of electron
• 5. Magnetic moment of superluminal quantum model
  of electron
• 6. Gyromagnetic ratio of superluminal quantum
  model of electron
• 7. Superluminal quantum positron predicted -- 2
  possible helicities of superluminal quantum model
  of electron electron and positron

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Conclusions

• The superluminal quantum models of the electron
  and the photon are visualizable quantum models
  containing many quantitative properties of the
  electron and the photon.
• The superluminal quantum model of the electron
  can be tested by projecting left and right-handed
  gamma photons on electrons and comparing
  scattering rates. (Different scattering rates
  model supported).