Discrete Gravity with Local Lorentz Invariance
Eugene Kur, Alexander S. Glasser
TL;DR
This paper introduces a new lattice-based algorithm for general relativity that maintains local Lorentz invariance and symplectic structure, advancing discrete gravity modeling.
Contribution
It presents a novel structure-preserving discretization of the tetradic Palatini action that ensures local Lorentz invariance in discrete gravity models.
Findings
Preserves local Lorentz invariance in discrete gravity
Maintains symplectic structure in the discretized model
Provides a lattice gauge theoretic approach to general relativity
Abstract
A novel structure-preserving algorithm for general relativity in vacuum is derived from a lattice gauge theoretic discretization of the tetradic Palatini action. The resulting model of discrete gravity is demonstrated to preserve local Lorentz invariance and symplectic structure.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Applications · Particle physics theoretical and experimental studies