Classical linear oscillator in classical electrodynamics with classical zero-point radiation

TL;DR

This paper analyzes a classical linear oscillator in the context of classical electrodynamics with zero-point radiation, demonstrating energy balance at the ground state and resonant excited states with quantized action variables.

Contribution

It introduces a classical model showing quantized energy states and energy balance in a relativistic oscillator influenced by zero-point radiation.

Findings

Ground state energy is balanced with radiation emission and absorption.

Resonant excited states occur at quantized action variables.

Oscillator exhibits energy quantization similar to quantum systems.

Abstract

A classical linear oscillator is treated in the small amplitude limit so that it will be approximately relativistic. The oscillator involves a charge particle in a linear potential in classical zero-point radiation. It is found that the ground state is energy balanced with the power lost in radiation emission equal to the average power gained from resonance with the classical zero-point radiation. Also the oscillator is found to have resonant excited states where the energy emitted as dipole radiation is balanced on average by the energy gained from the zero-point radiation when the action variable of the mechanical system is given by J=(n+1/2)(h/2pi).