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Example of negative energy density in a classical electron model.

Nelson Christensen1,2

  • 1Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Artemis, Nice 06300, France.

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|November 22, 2022
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Summary
This summary is machine-generated.

The Blinder model of the electron reveals regions of negative energy density, challenging classical physics. However, the total energy remains positive, consistent with the electron's rest mass.

Keywords:
Classical electron modelsGeneral relativityNegative energy density

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Area of Science:

  • Classical Electrodynamics
  • Theoretical Physics
  • Electron Models

Background:

  • Classical electron models have theoretical predictions of negative energy density.
  • Understanding the energy distribution within classical electron models is crucial for theoretical physics.

Purpose of the Study:

  • To investigate the energy density distribution within the Blinder model of the electron.
  • To determine if the Blinder model exhibits negative energy density regions.
  • To analyze the implications of electron spin on energy density.

Main Methods:

  • Utilized the Blinder model for the electron.
  • Analyzed the energy density distribution in different regions of space.
  • Calculated the integral of energy density over all space.
  • Investigated the role of electron spin in the model.

Main Results:

  • Identified regions with negative energy density in the Blinder electron model.
  • Demonstrated that the total energy integral equals the electron rest mass.
  • Showed that ignoring electron spin results in positive energy density everywhere.
  • Confirmed the existence of Poincaré stress within the Blinder model.

Conclusions:

  • The Blinder model supports the existence of negative energy density in specific regions.
  • The classical Blinder electron model, while not quantum electrodynamics, provides insights into energy distribution and stress.
  • Electron spin plays a significant role in the energy density characteristics of the Blinder model.