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The Egyptian engineering scientist and theoretical physicist Mohamed El Naschie has found a definite resolution to the missing dark energy of the cosmos based on a revision of the theory of Relativity. Einstein’s equation of special relativity E = m0c2, where m0 is the controversial rest mass and c is the velocity of light developed in smooth 4D space-time was transferred by El Naschie to a rugged Calabi-Yau and K3 fuzzy Kahler manifold. The result is an accurate, effective quantum gravity energy-mass relation which correctly predicts that 95.4915028% of the energy in the cosmos is the missing hypothetical dark energy. The agreement with WMAP and supernova measurements is astounding. Different theories are used by El Naschie to check the calculations and all lead to the same quantitative result. Thus the theories of varying speed of light, scale relativity, E-infinity theory, M-theory, Heterotic super strings, quantum field in curved space-time, Veneziano’s dual resonance model and Nash’s Euclidean embedding all reinforce, without any reservation, the above mentioned theoretical result of El Naschie which in turn is in total agreement with the most sophisticated cosmological measurement. Incidentally these experimental measurements and analysis were
Following an inspiring idea due to
D. Gross, we arrive at a
topological Planck energy Ep and a corresponding topological Planck length effectively scaling the Planck scale from
esoterically large and equally esoterically small numbers to a manageably where P(H) is the famous Hardy’s probability for
quantum entanglement which amounts to almost 9 percent and Based on these results, we conclude the equivalence of Einstein-Rosen “wormhole” bridges and
Einstein’s Podolsky-Rosen’s spooky action at a distance. In turn these results
are shown to be consistent with distinguishing two energy components which
results in ,
namely the quantum zero set particle component which we can measure and the quantum empty set
wave component which we cannot measure ,
In this paper Nottale’s acclaimed scale relativity theory is given a transfinite Occam’s razor leading to exact predictions of the missing dark energy [1,2] of the cosmos. It is found that 95.4915% of the energy in the cosmos according to Einstein’s prediction must be dark energy or not there at all. This percentage is in almost complete agreement with actual measurements.
The formula for the quantum amplitude of the Veneziano
dual resonance model is shown to be formally analogous to the dimensionality of
a K-theoretical fractal quotient manifold of the non-commutative geometrical
type. Subsequently this analogy is used to deduce the ordinary energy of the
quantum particle and the dark energy of the quantum wave. The results agree
completely with cosmological measurements. Even more surprisingly the sum of
both energy expressions turned out to be exactly equal to Einstein’s iconic formula E = mc2. Consequently Einstein’s formula makes no distinction
between ordinary and dark energy.
In this short survey, we give a complete
list of the most important results obtained by El Naschie’s E-infinity
Cantorian space-time theory in the realm of quantum physics and cosmology.
Special attention is paid to his recent result on dark energy and revising
Einstein’s famous formula .
At its most basic level physics starts with space-time topology and geometry. On the other hand topology’s and geometry’s simplest and most basic elements are random Cantor sets. It follows then that nonlinear dynamics i.e. deterministic chaos and fractal geometry is the best mathematical theory to apply to the problems of high energy particle physics and cosmology. In the present work we give a short survey of some recent achievements of applying nonlinear dynamics to notoriously difficult subjects such as quantum entanglement as well as the origin and true nature of dark energy, negative absolute temperature and the fractal meaning of the constancy of the speed of light.