The status and programs of the New Relativity Theory
Abstract
A review of the most recent results of the New Relativity Theory is presented. These include a straightforward derivation of the Black Hole Entropy-Area relation and its corrections; the derivation of the string uncertainty relations and generalizations ; ; the relation between the four dimensional gravitational conformal anomaly and the fine structure constant; the role of Noncommutative Geometry, Negative Probabilities and Cantorian-Fractal spacetime in the Young's two-slit experiment. We then generalize the recent construction of the Quenched-Minisuperspace bosonic -brane propagator in dimensions ( [18]) to the full multidimensional case involving all -branes : the construction of the Multidimensional-Particle propagator in Clifford spaces (-spaces) associated with a nested family of -loop histories living in a target -dim background spacetime . We show how the effective -space geometry is related to curvature of ordinary spacetime. The motion of rigid particles/branes is studied to explain the natural of classical spin. The relation among -space geometry and , Finsler Geometry and (Braided) Quantum Groups is discussed. Some final remarks about the Riemannian long distance limit of -space geometry are made.
Cite
@article{arxiv.physics/0011040,
title = {The status and programs of the New Relativity Theory},
author = {Carlos Castro},
journal= {arXiv preprint arXiv:physics/0011040},
year = {2015}
}
Comments
Tex file, 21 pages