Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-07
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, Latex file. Invited talk at the NATO advanced workshop on the nature of time, geometry, physics and perception. Slov
Scientific paper
An outline is presented of the Extended Scale Relativity (ESR) in C-spaces (Clifford manifolds), where the speed of light and the minimum Planck scale are the two universal invariants. This represents in a sense an extension of the theory developed by L. Nottale long ago. It is shown how all the dimensions of a C-space can be treated on equal footing by implementing the holographic principle associated with a nested family of p-loops of various dimensionalities. This is achieved by using poly-vector valued coordinates in C-spaces that encode in one stroke points, lines, areas, volumes,... In addition, we review the derivation of the minimal-length string uncertainty relations; the logarithmic corrections (valid in any dimension) to the black hole area-entropy relation. We also show how the higher derivative gravity with torsion and the recent results of kappa-deformed Poincare theories of gravity follow naturally from the geometry of C-spaces. In conclusion some comments are made on the cosmological implications of this theory with respect to the cosmological constant problem, the two modes of time, the expansion of the universe, number four as the average dimension of our world and a variable fine structure constant.
No associations
LandOfFree
The programs of the Extended Relativity in C-spaces: towards the physical foundations of String Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The programs of the Extended Relativity in C-spaces: towards the physical foundations of String Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The programs of the Extended Relativity in C-spaces: towards the physical foundations of String Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-658652