TITLE:
A Rindler-KAM Spacetime Geometry and Scaling the Planck Scale Solves Quantum Relativity and Explains Dark Energy
AUTHORS:
Mohamed S. El Naschie
KEYWORDS:
Quantum Relativity; KAM Theorem; Dark Energy; Hawking Negative Energy Vacuum Fluctuation; Unruh Temperature; Rindler Spacetime; Einstein-Rosen Bridges; Action at Distance; Susslin Operation
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.3 No.4,
December
10,
2013
ABSTRACT:
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.