The possibilities so far,
on the two sides of the expression,
\(P=3*\cfrac{2}{3}*\cfrac{8\pi f^2}{c^3}*Vol_{in\,\,space}*\cfrac{1}{2}m_av^2_{rms}=1*\cfrac{1}{Vol_{in\,\,time}}*m_ac^2\)
What happens if a sphere in time (kinetic energy) matches with a cube in space?
Pushing the bull further...