Quantum Gravity Grand Unification New Physics

Lecture Notes to DPG Spring Conferences

General Relativity Consistently Unified with Quantum Theory
Giving Quantum Gravity in Operator Notation + Dark Energy |
C. Birkholz |

presented at the joint DPG Spring Conf. on Particles, on Gravitation, on the Mathematics of Physics, and on the Philosophy of Physics,

Göttingen/Germany, GR 10.1 (2012)

Göttingen/Germany, GR 10.1 (2012)

Abstract:

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.

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

(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). (2) Its non-linear Casimir operators create curvature,

(3) Irreducibility provides background independence.

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