A State Sum Model for (2+1) Lorentzian Quantum Gravity
Stefan Davids
TL;DR
This paper introduces a state sum model using the SU(1,1) group aimed at representing (2+1) Lorentzian quantum gravity, with promising geometric and asymptotic properties.
Contribution
It presents a novel state sum model based on SU(1,1) for (2+1) Lorentzian quantum gravity, advancing the mathematical framework for quantum gravity research.
Findings
Model shows promising geometric properties
Asymptotic analysis supports its suitability
Potential for further development in quantum gravity
Abstract
A state sum model based on the group SU(1,1) is defined. Investigations of its geometry and asymptotics suggest it is a good candidate for modelling (2+1) Lorentzian quantum gravity.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models