Hypergravity and Categorical Feynmanology

Abstract

We propose a new line of attack to create a finite quantum theory which includes general relativity and (perhaps) the standard model in its low energy limit. The theory would emerge from the categorical approach. A structure is observed on the category of unitary representations of the lorentz group which we call hypergravity. This, combined with a study of the relationship between Feynman diagrams and words in tensor categories, leads to the proposal.

16 pages, latex

References in corpus (3)

• Spin Networks and Quantum Gravity
• Spin Foam Models
• ``Sum over Surfaces'' form of Loop Quantum Gravity

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• A Geometric Renormalisation Group in Discrete Quantum Space-Time
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• Knot theory and a physical state of quantum gravity