Algebraic approach to quantum gravity II: noncommutative spacetime
Abstract
Description
We provide a self-contained introduction to the quantum group approach to noncommutative geometry as the next-to-classical effective geometry that might be expected from any successful quantum gravity theory. We focus particularly on a thorough account of the bicrossproduct model noncommutative spacetimes of the form [t,x_i]=i λx_i and the correct formulation of predictions for it including a variable speed of light. We also study global issues in the Poincaré group in the model with the 2D case as illustration. We show that any off-shell momentum can be boosted to infinite negative energy by a finite Lorentz transformaton.
26 pages, 2 .eps figures; book chapter to appear in D. Oriti, ed., Cambridge Univ. Press
26 pages, 2 .eps figures; book chapter to appear in D. Oriti, ed., Cambridge Univ. Press