Dynamics Underlying the Gaussian Distribution of the Classical Harmonic Oscillator in Zero-Point Radiation
Figure 8
The probability distribution constructed from an ensemble sampling (number of particles , number of sampled frequencies ). Left: the position and momentum probability distributions are shown for the SED harmonic oscillator (black dot) and the ground state quantum harmonic oscillator (red and blue line). The ensemble sampling corresponds to the procedure of random phase averaging ((10) and (11)), so the width of the probability distributions should satisfy Heisenberg’s minimum uncertainty relation () as predicted by the analysis. Right: an illustration of the ensemble sampling shows how positions (red cross) are recorded from an ensemble of trajectories (black line).
