QUANTUM GRAVITY DYNAMICS AND QUANTUM SPACE-TIME
Subhamoy Singha Roy
Department of Physics, JIS College of Engineering, Kalyani, IndiaABSTRACT: We study gravity in the context of the non-commutative manifold , where the discrete space represents a direction-vector associated with a space-time point. The pertinent geometry involves the non-commutativity parameter provided by the field strength associated with gauge fields and is dependent on the phase space variables. The topological current associated with the gauge fields produces torsion when general relativity takes the form of teleparallel gravity. This inevitably leads to Weitzenbock geometry, which creates the deformed space-time.
KEYWORDS: Non-Commutative Manifold, Gauge Fields, Teleparallel Gravity, Weitzenbock Geometry, Torsion