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The measured 95.5% dark energy density of the cosmos presumed to be behind the observed accelerated cosmic expansion is determined theoretically based upon Witten’s five branes in eleven dimensions theory. We show that the said dark energy density is easily found from the ratio of the 462 states of the five dimensional Branes to the total number of states, namely 528 minus the 44 degrees of freedom of the vacuum, i.e. , almost exactly as found in WMAP and Type 1a supernova measurements.

The relation between extra space dimensions on one side and compactification and dark energy on the other side is in the meantime quite reasonably understood [

Let us start from the fact that we can look at a super symmetric compactified bosonic sector of a bosonic E-in- finity Cantorian spacetime [

Now if we look at the familiar integer form with [

then we notice that [

is the fundamental crucial part in Witten’s 5-brane in eleven dimensions model [

Said differently we find that

On the other hand we see clearly that to obtain |E8E8| dimensionality which is equal to 496 or the accurate transfinitely corrected value

while in the exact transfinite case we have the neat, simple result of the transfinite supercharge added to our transfinite bosonic space [

In other words our |E8E8| is made of two parts. The obvious part is the bosonic space 26 + k and the second part is (22 + k)(21 + k) which is actually a transfinite five brane part corresponding to the integer part [

of Witten’s model [

This is the exact result as confirmed not only using many other analysis but also with accurate measurements [

We could argue the present case in a different way which makes the concept and analysis much easier as we show next:

Since

date for the dark energy sector in the universe. The total number of “objects”, i.e. quantum states on the other

hand is 528 in the same Witten’s model so that the ratio of

which is 44 would give us the density of the dark energy, i.e.

as should be. For the ordinary energy part the analysis is then trivial and leads to the obvious result that

To obtain ^{2}, namely 26 − 4 = 22 and consequently [

Note that using the dissection of Witten’s super translation algebra we find [

It is not easily done to move to

missing which added to 528 gives a global supercharge-like value amounting to

The best dissection in this case is to resort to the E-line of exceptional Lie symmetry groups where we have [

and

Here SU(5) of grand unification is nothing but E4. We see here that the smallest Ei is

Note also that

Thus

Symmetry ® symmetry breaking ® pre quantum particle.

The manifold 26 − 2 = 24 is extremely important for real energy and it turns out that dark energy is simply [

which is the exact value.

Now is this a trial and error solution? The answer is no. Then the next logical question is how could one recognize the meaning of all of these numbers? The answer is because we know the answer from so many other different exact solutions. One could then retort sharply by saying that this is then more or less numerology, is it not? The answer to this crucial question is a definite no because if 90 percent of all the exact answers in high energy physics are found using numerology, then either this word numerology should be a misnomer and the correct name is number theory [

Dark energy, unlike ordinary energy, can be interpreted as caused by the five branes in eleven dimensions of Witten’s well known model with a total number of quantum states equal to the number of killing vector fields with n = 32 which is given by [

Similarly this could be found from the E-line of exceptional Lie symmetry groups [

These results are subsequently used to express the density of dark energy and ordinary energy of the cosmos in an unheard of simple way. The analysis is easily confirmed via a simple vacuum degrees of freedom analysis as follows:

Since E = mc^{2} is based on D = 4 Einstein’s space we have only two degrees of freedom vacuum or pure energy given by

On the other hand Witten’s M-theory with D = 11 has a far more comprehensive fully fledged vacuum with

validating E(O) = mc^{2}/22 and therefore it follows that

Mohamed S. El Naschie, (2016) From Witten’s 462 Supercharges of 5-D Branes in Eleven Dimensions to the 95.5 Percent Cosmic Dark Energy Density behind the Accelerated Expansion of the Universe. Journal of Quantum Information Science,06,57-61. doi: 10.4236/jqis.2016.62007