In one minute

Theo Nieuwenhuizen and Matthew Liska study stochastic electrodynamics, a classical theory in which the vacuum holds random fields with the zero-point energy of half ħω in every mode. The theory explains many harmonic oscillator phenomena, while firm results for nonlinear systems are still missing. They study the hydrogen ground state by numerically solving the Abraham-Lorentz equation in the dipole approximation, with the random field as a sum of Gaussian frequency components, computed with OpenCL. The approach extends Cole and Zou's 2003 work to the full three-dimensional problem and longer simulation times. Compared with a conjectured ground-state phase space density, short runs trend towards confirmation, but in every model tried the atom ionises at longer times.

Simulation of the hydrogen ground state in stochastic electrodynamics