The Three Page Guide to the Most Important Results of M. S. El Naschie’s Research in E-Infinity Quantum Physics and Cosmology

Abstract

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 .

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

“…It is almost too beautiful to believe that one could reach such a profound cosmological conclusion using pure reason in the form of a stringent geometrical theorem [35]. What we did so far is essentially add more weight to our basic thesis that 2 E mc = consists of two parts with very strong quantum connection [28] [29]. Numerous theories were used and all led smoothly to the very same result.…”

“…The highly interesting picture for this result comes to the fore when we project the manifold onto the Poincaré-Beltrami plane and see that it is exactly like a compactified Klein modular space or a fractal Penrose tiling, i.e. a projection of a fiber bundle manifold with infinitely many increasingly small hyperbolic degrees of freedom or "triangular" dimensions concentrated at the "circumferential" edge at infinity [28] [36]. The weight of this infinitely many degrees of freedom is a "volume" of 96 percent while the center is made of 336 quasi dimensions of the SL(2, 7) Lie symmetry group weight compared to infinity as a mere 100 − 96 = 4 percent.…”

“…modelled by a five dimensional empty set [28] [29]. Never the less we think that the road via quantum entanglement is probably the most conventional one [25] while arguing the case via 'tHooft's renormalization 4 D = − ∈ may be the simplest [24].…”

“…E O mc = which represents a quasi position "potential" energy of the quantum particle at the instance of measurement [28]- [30].…”

Einstein’s Dark Energy via Similarity Equivalence, ‘tHooft Dimensional Regularization and Lie Symmetry Groups

“…Our second most import conclusion is that the Casimir energy is the local form of dark energy which by the well known theorem of Dvoretzky must be concentrated at the boundary of the holographic boundary of the universe [76]. This is one of the reasons why it cannot be detected locally in direct experiments although we know of its presence directly via the observed accelerated cosmic expansion [37]- [49]. Related similar results connected to formal logic and self referentiality is considered in [117].…”