The paper is a condensed but accurate account of El
Naschie’s theory of Cantorian space-time which was used by him to clarify some
major problems in theoretical physics and cosmology In particular El Naschie’s
revision and completion of relativity theory and demystification of dark energy
are destined to be two milestones in the history of theoretical physics

https://file.scirp.org/pdf/IJAA_2013120415254440.pdf

An Invitation to El Naschie’s Theory of Cantorian Space-Time and Dark Energy

The supposedly missing dark energy of the cosmos is found quantitatively in a direct analysis without involving ordinary energy. The analysis relies on five dimensional Kaluza-Klein spacetime and a Lagrangian constrained by an auxiliary condition. Employing the Lagrangian multiplier method, it is found that this multiplier is equal to the dark energy of the cosmos and is given by where E is energy, m is mass, c is the speed of light, and λ is the Lagrangian multiplier. The result is in full agreement with cosmic measurements which were awarded the 2011 Nobel Prize in Physics as well as with the interpretation that dark energy is the energy of the quantum wave while ordinary energy is the energy of the quantum particle. Consequently dark energy could not be found directly using our current measurement methods because measurement leads to wave collapse leaving only the quantum particle and its ordinary energy intact.

/pdf/dark-energy-from-kaluza-klein-spacetime-and-noether-s-1wtb1num7o.pdf

Dark Energy from Kaluza-Klein Spacetime and Noether's Theorem via Lagrangian Multiplier Method

We introduce an ultra high
energy combined KAM-Rindler fractal spacetime quantum manifold, which increasingly resembles
Einstein’s smooth relativity spacetime, with decreasing energy. That way we derive
an effective quantum gravity energy-mass relation and
compute a dark energy density in complete agreement with all cosmological measurements,
specifically WMAP and type 1a supernova. In particular we find that ordinary
measurable energy density is given by E1= mc2 /22 while the dark
energy density of the vacuum is given by E2 = mc2 (21/22). The sum of both energies is equal to Einstein’s
energy E = mc2. We conclude that E= mc2 makes no
distinction between ordinary energy and dark energy. More generally we conclude
that the geometry and topology of quantum entanglement create our classical
spacetime and glue it together and conversely quantum entanglement is the
logical consequence of KAM theorem and zero measure topology of quantum
spacetime. Furthermore we show via our version of a Rindler hyperbolic
spacetime that Hawking negative vacuum energy, Unruh temperature and dark
energy are different sides of the same medal.

/pdf/a-rindler-kam-spacetime-geometry-and-scaling-the-planck-3y77xoebwx.pdf

A Rindler-KAM Spacetime Geometry and Scaling the Planck Scale Solves Quantum Relativity and Explains Dark Energy

Einstein’s energy mass formula is shown to consist of two basically quantum components E(O) = mc2/22 and E(D) = mc2(21/22). We give various arguments and derivations to expose the quantum entanglement physics residing inside a deceptively simple expression E = mc2. The true surprising aspect of the present work is however the realization that all the involved “physics” in deriving the new quantum dissection of Einstein’s famous formula of special relativity is actually a pure mathematical necessity anchored in the phenomena of volume concentration of convex manifold in high dimensional quasi Banach spaces. Only an endophysical experiment encompassing the entire universe such as COBE, WMAP, Planck and supernova analysis could have discovered dark energy and our present dissection of Einstein’s marvelous formula.

/pdf/from-e-mc-2-to-e-mc-2-22-a-short-account-of-the-most-famous-4fu86iyaib.pdf

From E = mc 2 to E = mc 2 /22—A Short Account of the Most Famous Equation in Physics and Its Hidden Quantum Entanglement Origin *

An instructive analogy between the deformation of a pinched elastic cylindrical shell and the anti-gravity behind accelerated cosmic expansion is established. Subsequently the entire model is interpreted in terms of a hyperbolic fractal Rindler space-time leading to the same robust results regarding real energy and dark energy being 4.5% and 95.5% respectively in full agreement with all recent cosmological measurements.

/pdf/pinched-material-einstein-space-time-produces-accelerated-1bftjgkjmd.pdf

Pinched Material Einstein Space-Time Produces Accelerated Cosmic Expansion

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 awarded the 2011 Nobel Prize in Physics to Adam Riess, Brian Schmidt, and Saul Perlmutter.

/pdf/mohamed-el-naschie-s-revision-of-albert-einstein-s-e-m-0-c-2-2fs7knbno3.pdf

L. Marek-Crnjac

Papers

Mohamed El Naschie's Revision of Albert Einstein's E = m 0 c 2 : A Definite Resolution of the Mystery of the Missing Dark Energy of the Cosmos