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GR: Fachverband Gravitation und Relativitätstheorie

GR 10: Quantengravitation und Quantenkosmologie I

GR 10.1: Vortrag

Mittwoch, 29. Februar 2012, 09:30–09:50, ZHG 002

General Relativity Consistently Unified with Quantum Theory Giving Conformal Quantum Gravity in Operator Notation + Dark Energy — •Claus Birkholz — Seydelstr. 7, D-10117 Berlin

This unification is achieved by group theory. The group SU(2,2) is identified to be the fully quantized covering group of (an extended form of) GR:

(1) Its linear generators yield quantum theory,

(2) its non-linear Casimir operators create curvature,

(3) irreducibility provides background independence.

Dark energy results as a byproduct of the commutation relations of the (non-linear) space-time operators. By the number 3 of Casimir operators in an SU(2,2), the equations of motion in GR are fixed to have three components (3-dimensionality of motion).

A maximal set of commuting generators defining the "quantization axis" of GR is given by the triplet L3 (spin), Q3 (CMS-space), P0 (energy).