_{1}

^{*}

We start from quantum field theory in curved spacetime to derive a new Einstein-like energy mass relation of the type *E*=*γmc ^{2}* where

*γ*=1/22 is a Yang-Mills Lorentzian factor, m is the mass and c is the velocity of light. Although quantum field in curved spacetime is not a complete quantum gravity theory, our prediction here of 95.4545% dark energy missing in the cosmos is almost in complete agreement with the WMAP and supernova measurements. Finally, it is concluded that the WMAP and type 1a supernova 4.5% measured energy is the ordinary energy density of the quantum particle while the 95.5% missing dark energy is the energy density of the quantum wave. Recalling that measurement leads to quantum wave collapse, it follows that dark energy as given by E(D) = mc

^{2}(21/22) cannot be detected using conventional direct measurement although its antigravity effect is manifested through the increasing rather than decreasing speed of cosmic expansion.

While Einstein’s theory of relativity [1-8] predicts E_{max} = mc^{2} as the 100% energy density contained in the cosmos, sophisticated various measurements conducted over a long period of time such as COBE, WMAP and supernova measurements and analysis clearly indicate that nearly 95.5 of the 100% of this energy density cannot be accounted for except by indirect inference from the surprising unexpected increase in the speed of cosmic expansion observed [1,9-16]. The issue of the missing dark energy therefore has serious consequences for the very foundations of both cosmology and theoretical physics [7, 12]. Not surprisingly for those working on theories of unification and quantum gravity, the broad answer and resolution to all these contradictions is unification [16- 24]. In short this means that classical, relativistic and quantum mechanics must be fused together as explained and as graphically presented in ^{2} is being wrongly interpreted outside of its range of validity and the assumptions underlie its derivation when applied to the entire cosmos. This is the case because Einstein’s famous equation is the sum of two components, namely the ordinary energy which we can measure and dark energy which we cannot measure directly [6-8,13]. We start herewith giving a very concise discussion of quantum filed theory in curved spacetime [2,3] and Yang-Mill’s theory [4-6]. Subsequently, we derive the new mass energy relation and reason that the 4.5% measured energy density is the energy of the quantum particle in 5D Kaluza-Klein spacetime [

It is definitely an educated guess to presume that an accurate estimate of the magnitude of the entire energy in the cosmos needs a theory for quantum gravity [

as well as the number of Killing vectors field which means [

Never the less and as we will see in what follows, the result obtained using QFCS [1,3] for the missing dark energy [

Guage invariance is fundamental to quantum field theory and Yang and Mills proposed in their famous theory to extend the set of possible gauge transformations [4,5]. Thus a potential field with 12 rather than 4 components was introduced. Consequently one finds that in YangMills theory we actually have not one photo but three, two of which are electrically charged [4,5]. The neutral photon is our ordinary photon and should not be confused with of the electroweak [

It is now a trivial observation to realize that while Einstein’s special relativity formula depends upon a single

elementary messenger particle, the photon, a fusing of general relativity with Yang-Mills quantum electrodynamics will depend upon 23 degrees of freedom. These are the 20 independent components of the Riemann tensor in 4 dimensions or equivalently the 20 degrees of freedom of pure gravity in 8 dimensions [

and the additional 3 photons [4,5] so that the total is 20 + 3 = 23 in complete agreement with expectations [

On the other hand only the familiar neutral photon is assumed in the derivation of E = mc^{2} [^{2} are 23 - 1 = 22. This is not surprisingly equal to the number of dark dimensions of string theory when we subtract our familiar D^{(4)} = 4 from the 26 dimensions of Bosonic string theory [

where the Lorentz factor also becomes [9-15]. This is a reduction in E_{max} by 95.4545% in astonishingly accurate agreement with the result of cosmological measurements [1-7,9-15]. The conceptual idea behind the present theory and analysis is demonstrated graphically in

1. It is the inverse ratio of the second Betti number (b_{2}) of the connected four dimensional spacetime of special relativity (b_{2 }= 1) to that of a K3 Kähler used for superstring and M-theory compactification (b_{2} = 22), i.e. = 1/22. The conceptual idea behind the corresponding analysis is shown graphically in

2. It is the number of “dark” dimensions left from the 26 dimension of Bosonic strings after subtracting our familiar 3 + 1= 4 dimensions of classical relativity (26 – 4 = 22) as explained in [

3. It is the inverse of the square root of the dimensionality of exceptional Lie symmetry group of Heterotic string theory [

4. It is the inverse half the Hardy’s quantum entanglement where when taking only the integer part of [7, 12]. In fact the measured ordinary energy could be calculated accurately as energy of a quantum particle while the dark energy is the energy of the quantum wave [14,15] given by as shown in

Combining classical general relativity [

holes and quantum non-locality, the thermodynamical informational aspect of gravity, negative Van der Waals forces simulating dark energy and the similarity between instantons [20-23] and the empty set as the physical meaning of topological pressure as far as negative gravity is concerned [11-15]. All these subjects and more will be dealt with in forthcoming publications.