Previously, it was shown that G minus F is simply the product of absolute pressure (p) and oriented volume (V) and F minus G is the negative of this product: -pV. Now, the square of both G minus F and F minus G is shown to be equivalent since (pV)=(-pV)=pV. Furthermore, since energy is also equivalent to the product of p and V, pV is equivalently the square of free energy.

However, the squares of free energy as the quantum vacuum fluctuations of zero-point energies is not free. It cannot be converted easily to useful energy in the usual sense of modern technology. Harnessing it becomes a great challenge for future innovations. Nevertheless, in and by itself lies the hope of boundless free and useful energies for many millennia to come as long as humanity’s survival is still depended on. Coincidentally, the squares of free energy also help resolved the question regarding the existence of dark matter and energy for the universe at large which could account more than 75% of the undetectable missing mass that were supposedly and uniformly distributed in every possible direction everywhere and everywhen. Obviously, what is uniformly distributed is simply the squares of free energy of the quantum vacuum fluctuations and by the principle of quantum uncertainty, these always exist at the quantum states of absolute zero and infinite time duration approaching the absolute existential probability of unity.