_{1}

^{*}

The present short paper is concerned with accurate explanation as well as quantification of the so called missing dark energy of the cosmos. It was always one of the main objectives of any successful general theory of high energy particle physics and quantum cosmology to keep non-physical negative norms, the so called ghosts completely out of that theory. The present work takes the completely contrary view by admitting these supposedly spurious states as part of the physical Hilbert space. It is further shown that rethinking the ghost free condition with the two critical spacetime dimensions
*D*
_{1} = 26 and
*D*
_{2} = 25 together with the corresponding intercept
*a*
_{1} = 1 and
*a*
_{2} ≤ 1 respectively and in addition imposing, as in Gross et al. heterotic superstrings, an overall 496 dimensional exceptional Lie symmetry group, then one will discover that there are two distinct types of energy. The first is positive norm ordinary energy connected to the zero set quantum particles which is very close to the measured ordinary energy density of the cosmos, namely
*E*(
*O*) =
*mc*
^{2}/22. The second is negative norm (i.e. ghost) energy connected to the empty set quantum wave and is equal to the conjectured dark energy density of the cosmos
*E*(
*D*) =
* mc*
^{2} (21/22) presumed to be behind the observed accelerated cosmic expansion. That way we were able to not only explain the physics of dark energy without adding any new concepts or novel additional ingredients but also we were able to compute the dark energy density accurately and in full agreement with measurements and observations.

One of the most cherished objectives of any successful modern theory in quantum gravity and cosmology is to keep negative norms out of the physical Hilbert space for being meaningless [

In the present work we will treat the bosonic section of D. Gross et al. heterotic superstrings theory [

Here we term the D_{1} = 26 the upper critical dimension while D_{2} = 25 is the lower critical dimension corresponding to the norm state [

Next we will impose our overall 496 dimensional symmetry of E8E8 [

It is well known that the deep meaning of the most important invariance of a topology, namely dimension has transcended the separation between spacetime dimensions and the internal symmetry group dimensions connected to the same spacetime theory [^{2} of Einstein and to realize that it is the maximal energy density possible, i.e. ^{2} is based on one messenger particle, namely the photon as well as 4 dimensional spacetime. Now we want to scale

Our ordinary energy density is consequently

in full agreement with theoretical and experimental results [^{2} where

and

exactly as it should be [

which is the quasi potential energy of the quantum particle and this is the energy we can measure directly while [

is the quasi kinetic propagation energy of the quantum wave enveloping the quantum particle for being its cobordism, i.e. surface. This quasi kinetic energy is actually what we have dubbed the missing dark energy just because we cannot measure it directly due to the quantum wave collapse but only see its effect indirectly via the observed accelerated expansion of the cosmos [

We were very thorough and successful in clearing our theories from negative norms to the extent that we obscured the origin of dark energy although it is nothing more mysterious than the relatively familiar ghosts, or as said earlier on, the negative norms which we keep saying are not part of reality and should not be part of the physical Hilbert space. Ironically in E-infinity [

Perhaps when our efforts to develop a quantum wave nondemolition measurement device bear fruitful results, then we will be able to not only deduct dark energy but could utilize it as well as a practically infinite source of clean energy [

Mohamed S. El Naschie, (2016) Negative Norms in Quantized Strings as Dark Energy Density of the Cosmos. World Journal of Condensed Matter Physics,06,63-67. doi: 10.4236/wjcmp.2016.62009