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Fractal speed of light theory is a variation of Magueijo-Smolin varying speed of light (VSL) theoretical modification of Einstein’s energy mass relation. We use this theory to derive an exact value for the missing dark energy which is found to be in astonishing agreement with the latest result of the WMAP measurement and the independent supernova analysis. Thus while Einstein’s formula predicts 95.5% more energy than found in highly precise astrophysical measurement, our VSL- based calculation indicates an exact theoretical value of only 4.508497% real energy. Consequently, the exact conjectured missing dark energy must be 95.491502%. By any standards, this is an astounding confirmation for both the cosmological measurement and the VSL theory.

In the present work, we use a fractal speed of light theory to resolve the issue of the missing dark energy in the cosmos which has become a colossal problem threatening the very foundations of theoretical physics and cosmology [

In this work which constitutes a concerted effort of various avant-garde theories brought to bear on the subject of dark energy, we give an exact analysis showing that the energy value predicted by Einstein’s special theory of relativity_{o} is the rest mass and c is the velocity of light gives the wrong answer when it comes to calculating the intergalactic energy scales [

The completely new idea behind the derivation of the energy-mass relationship using the VSL theory basically comes from Nottale’s theory of scale relativity [

with the usual transformation

and

The preceding equations which are explained lucidly in the original paper of Mageuijo and Smolin [_{p} without violating Lorentzian invariance, nor the

From the first equation of Magueijo-Smolin [

i.e. we have Einstein’s classical equation of special relativity.

i.e. we have the Newtonian expression for energy when setting

This is a crucial situation for us as we will explain in a moment. The energy in this case could be written as

Let us consider the above from the view point of spacetime dimensions [

In case (a) above we could say that spacetime fuses into 3 + 1 = 4 dimensions. There are zero hidden dimensions in this theory. The total energy

In case (b) above we could say, somewhat surprisingly, that we have a hidden dimension, namely time appearing only as a parameter. The energy

In the most important case (c) above however we could interpret the factor 21 as the number of dark dimensions of 26 bosonic string theory [

This result is tantamount to saying that

The classical Heterotic string theory [

where _{max} must be logically divided by 22 + k and consequently [

The remarkable thing is that

The same previous result can be found directly from delicate light cone quantized Lorentzian transformation [

We give a hidden dark dimension interpretation to the Magueijo-Smolin energy mass equation of VSL theory [