Quantum Gravity Signals from Algebraic Stability Considerations

Physics

Scientific paper

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Poincar&Acute, E Algebra Deformations, Planck Scale Physics, Invariant Length Scale.

Scientific paper

We apply Lie algebra deformation theory to the problem of identifying the stable form of the quantum relativistic kinematical algebra. Three possible deformations are found, which introduce dimensionful constants. We also argue that, instead of positions, moments should serve as Lie algebra generators, leading to a radically different interpretation of the nature of the deformations.

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