"A black hole singularity can be appreciated both as the ultimate garbage dump, able to take care of any waste disposal problem without the need to recycle, and as a source of extractable energy" (Wald 1984a, pp. 324-330)

The energy inside singularity has to be vibrational and field like. This can offer an explanation for quantum fluctuation which will be dealt with it later in quantum mechanics chapter.

On the other hand, in the Hawking's formula for black hole's temperature is;

T = hc3/8πkGM

where h stands for Planck constant,c for speed of light, K for Boltzmann's constant,G for Newton's gravitational constant and M stands for mass.

In above formula, if mass (M) is zero, the temperature would amount infinity. Of course here with lack of matter, temperature relates to internal energy of the system or energy of singularity in this view.

Stephen Hawking Says "the uncertainty principle of quantum theory means that fields are always fluctuating up and down even in apparently empty space, and have an energy density that is infinite." 6 p144

Not convinced yet? May be you can consider that the spooky infinities come up when we are dealing with mathematics of different kinds of energy and energy related force fields, whereas bizarre zeros appear while doing the mathematics of matter, space and time.

Here are more evidences of energy presence in zero field.

Zero point posses energy

Lamb shift and Casimir force is a proof for it. If you consider how many zero points exists in the universe, you will come to recognition of incredible source of energy which can be derived or is being derived from point zero. Robert Forward (4) at Hughes Research Laboratories in Malibu, California has shown in a paper that at least in principal we can extract that point zero energy to produce electricity.

Dr. Forward mentions in his derivation, when equations of quantum mechanics are used to determine the average energy (with a bracket on both sides of the E) of the vibrations of the atoms, the answer is

E = n(T) + hf/2.

In a harmonic oscillator the energy levels are quantized. The formula for energy state is ;

En = (n + 1/2) h/2π * w

En = n * h/2π * w + 1/2 * h/2π * w

if w = 2πf

En = n * h/2π * 2πf + 1/2 * h/2π * 2πf

En = nhf + 1/2hf

Where n is quantum number (photon number) and f is frequency of photon which emitted by exited atom. In above formula, if temperature equals to zero the particles (electrons,) have vibration at energy corresponding to the n=0 state. Then at T=0, n=0 because the atom is not excited (it can not emit any photon) therefore the value of energy in this case is;

En = 0 + hf/2 = hf/2

This is the lowest value of energy. Thus, even at zero temperature quantum mechanics predicts that each of the atoms will still have an average residual energy (as we can see if we let n go to zero) there remains the hf/2. Physicists have been grappling with this for years because there appears to be an infinite amount of energy available if f is allowed to increase without limit. Ever since Casimir predicted it and various other scientists have verified it, this simple equation is really all that is underlying the theory of the zero point field and zero point fluctuation.

Since it was first introduced, so many unexplained found explanation. Such as,

The New Scientist (July 1987, "Why Atoms Don't Collapse") gives an impressive endorsement of the importance of ZPE:

"There is a dynamic equilibrium in which the zero-point energy stabilizes the electron in a set ground-state orbit. It seems that the very stability of matter itself appears to depend on an underlying sea of electromagnetic zero-point energy." (21)

Both theory and experiment have shown that there is a non-thermal radiation in the vacuum and that it persists even if the temperature could be lowered to absolute zero. Therefore, it was simply called the "zero point" radiation. Further proof is evident, as Dr. Forward points out in his tutorial below, when physicists have cooled helium to within micro degrees of absolute zero and still it remains a liquid! Only ZPE can account for the source of energy is keeping helium from freezing. (21)

This issue has been re-addressed in a recent paper by the same author, this time taking into account what has been learned over the years about the effects of zero-point energy. There it is shown that the electron can be seen as continually radiating away its energy as predicted by classical theory, but simultaneously absorbing a compensating amount of energy from the ever-present sea of zero-point energy in which the atom is immersed, and an assumed equilibrium between these two processes leads to the correct values for the parameters known to define the ground-state orbit. Thus the ground-state orbit is set by a dynamic equilibrium in which collapse of the state is prevented by the presence of the zero-point energy. The significance of this observation is that the very stability of matter itself appears to depend on the presence of the underlying sea of electromagnetic zero-point energy.(22)

The common believe about the source of zero point energy is explained below,

"Historically there have been two schools of thought: Existence by fiat as part of the boundary conditions of the universe, or generation by the (quantum-fluctuation) motion of charged particles that constitute matter. A straightforward calculation of the latter possibility has recently been carried out by the author. It was assumed that zero-point fields drive particle motion, and that the sum of particle motions throughout the universe in turn generate the zero-point fields, in the form of a self-regenerating cosmological feedback cycle not unlike a cat chasing its own tail. This self-consistent approach yielded the known zero-point field distribution, thus indicating a dynamic-generation process for the zero-point fields." (22).

The later concept tries to attribute the zero point energy to the familiar matter particles, which exist, inside space-time. This kind of reasoning seems logical and objective and offers comfort. On the other hand thinking that it can come from boundaries of universe, exposes us to scary unknown arena beyond it. Most physicists would prefer to accept the matter origin for source of zero point energy.

You may ask how zero point is related to singularity. We explore the relation In "Where is Singularity" chapter where we conclude that we are exposed to singularity in each miniscule of fabric of space(Planck Distance).

Craig Hogan says, "It is ironic that gluons, which are forces and not matter, make up most of the mass of familiar matter. How flexibly our thinking must adapt to unfamiliar realm of nature!" 13p 35

And Last but not the least, recent NASA observations reveals the presence of a non-zero cosmological Constant which is responsible for acceleration of expansion of the world. According to NASA scientists and other astrophysicists the reason for this non-zero amount is the dark energy, which permeates in from empty space and separates the galaxies and push them away from each other. which is responsible for acceleration of expansion of the world.

I finish this part by a conclusion derived by NASA after non-zero cosmological constant Proved to be true by WMAP findings;

"Many cosmologists advocate reviving the cosmological constant term on theoretical grounds. Modern field theory associates this term with the energy density of the vacuum. For this energy density to be comparable to other forms of matter in the universe, it would require new physics: the addition of a cosmological constant term has profound implications for particle physics and our understanding of the fundamental forces of nature."