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  • 3 - Emergence of Time in Loop Quantum Gravity

  • from Part I - Spacetime Emergence
  • Edited by Nick Huggett, University of Illinois, Chicago, Keizo Matsubara, Uppsala Universitet, Sweden, Christian Wüthrich, Université de Genève
  • Book:
    Beyond Spacetime
    Published online:
    24 April 2020
    Print publication:
    14 May 2020, pp 53-78

  • Summary

    Loop quantum gravity has formalized a robust scheme in resolving classical singularities in a variety of symmetry-reduced models of gravity. In this essay, we demonstrate that the same quantum correction that is crucial for singularity resolution is also responsible for the phenomenon of signature change in these models, whereby one effectively transitions from a `fuzzy' Euclidean space to a Lorentzian space-time in deep quantum regimes. As long as one uses a quantization scheme that respects covariance, holonomy corrections from loop quantum gravity generically leads to nonsingular signature change, thereby giving an emergent notion of time in the theory. Robustness of this mechanism is established by comparison across a large class of midisuperspace models and allowing for diverse quantization ambiguities. Conceptual and mathematical consequences of such an underlying quantum-deformed spacetime are briefly discussed.