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Extreme Electron Acceleration with Fixed Radiation Energy.

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Summary
This summary is machine-generated.

Electrons accelerated to light speed emit finite energy. Analytic solutions reveal distinct radiation and kinetic power losses, with kinetic loss being null.

Keywords:
acceleration radiationblack hole evaporationmoving mirrors

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Area of Science:

  • Physics
  • Electromagnetism
  • Relativistic Quantum Mechanics

Background:

  • Understanding particle acceleration and radiation is crucial in high-energy physics.
  • Previous models often simplify the asymptotic behavior of particles near light speed.

Purpose of the Study:

  • To analyze the radiation emitted by an electron accelerated asymptotically to the speed of light.
  • To differentiate between radiation power loss and kinetic power loss in this extreme scenario.

Main Methods:

  • Employing analytic solutions to model electron acceleration.
  • Calculating and comparing energy loss components.

Main Results:

  • Demonstrated finite emission energy for electrons reaching asymptotic light speed.
  • The analytic solution explicitly shows radiation power loss.
  • Kinetic power loss was found to be null in this specific condition.

Conclusions:

  • The study provides a clear distinction between radiated and kinetic energy loss for ultra-relativistic electrons.
  • Finite emission energy is a key characteristic of electrons approaching light speed.