Before revision:  The EPF quantifies the transition of dissipation from local to global coherent oscillations in space and time and integrating it gives a bound on the entropy production rate. The EPF measures how microscopic irreversibility propagates to larger length and time scales and integration through frequency space bounds the net dissipation of stochastic processes .
After revision:  The EPF quantifies the transition of dissipation from local to global coherent oscillations , bounding the energetic cost to establish spatially synchronized biochemical oscillations .