Emergence of time in Loop Quantum Gravity

Abstract

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 which 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 which respects covariance, holonomy corrections from loop quantum gravity generically leads to non-singular signature change, thereby giving an emergent notion of time in the theory. Robustness of this mechanism is established by comparison across large class of midisuperspace models and allowing for diverse quantization ambiguities. Conceptual and mathematical consequences of such an underlying quantum-deformed space-time are briefly discussed.

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Citations of this work

Have we Lost Spacetime on the Way? Narrowing the Gap between General Relativity and Quantum Gravity.Baptiste Le Bihan & Niels Siegbert Linnemann - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 65 (C):112-121.
The (A)temporal Emergence of Spacetime.Nick Huggett & Christian Wüthrich - 2018 - Philosophy of Science 85 (December):1190-1203.
The Great Loop: From Conformal Cyclic Cosmology to Aeon Monism.Baptiste Le Bihan - 2024 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie.

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(Uea).John Collins - manuscript

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