Penrose's Cyclic Conformal Cosmology views the conditions of a heat death universe conformally equal to those of big bang.

As light does not experience time, any configurational state - no matter how low a porbability - would occur 100%, as technically infinite amount of time indeed passes for these light waves. Imagine all of coinciding in a final constructive interference, a superposition that would be the most energetic photon possible. This could be the spark of the new big bang.

I'm probably skipping a couple of steps here, but thought it was interesting.