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Disappearance and emergence of space and time in quantum gravity (1302.2849v1)

Published 12 Feb 2013 in physics.hist-ph, gr-qc, and hep-th

Abstract: We discuss the hints for the disappearance of continuum space and time at microscopic scale. These include arguments for a discrete nature of them or for a fundamental non-locality, in a quantum theory of gravity. We discuss how these ideas are realized in specific quantum gravity approaches. Turning then the problem around, we consider the emergence of continuum space and time from the collective behaviour of discrete, pre-geometric atoms of quantum space, and for understanding spacetime as a kind of "condensate", and we present the case for this emergence process being the result of a phase transition, dubbed "geometrogenesis". We discuss some conceptual issues of this scenario and of the idea of emergent spacetime in general. As a concrete example, we outline the GFT framework for quantum gravity, and illustrate a tentative procedure for the emergence of spacetime in this framework. Last, we re-examine the conceptual issues raised by the emergent spacetime scenario in light of this concrete example.

Citations (133)

Summary

  • The paper's main contribution is the proposal that continuum spacetime emerges as a condensate from discrete quantum geometric entities.
  • Utilizing group field theories and spin foam models, the study models a phase transition—geometrogenesis—analogous to emergent phenomena in condensed matter.
  • This framework opens avenues for linking microscopic quantum structures with cosmological phenomena, offering potential falsifiable predictions.

Disappearance and Emergence of Space and Time in Quantum Gravity

The paper, "Disappearance and Emergence of Space and Time in Quantum Gravity," authored by Daniele Oriti from the Max Planck Institute for Gravitational Physics, explores a profound conceptual framework examining the nature and fundamental structure of space and time within quantum gravity. The work provides insights into how spacetime might not exist at the fundamental level, and instead, could emerge as a macroscopic phenomenon akin to the collective behavior observed in condensed matter systems.

Key Concepts and Frameworks

The paper explores the disappearance of the traditional continuum model of space and time at microscopic scales, suggesting that continuum spacetime is not fundamental. It introduces the notion of group field theories (GFTs), spin foam models, and loop quantum gravity approaches as potential frameworks to examine and describe the microstructure of spacetime. Oriti posits that spacetime is a kind of "condensate" formed from discrete, pre-geometric entities, predicting its emergence through a phase transition labeled "geometrogenesis."

One central philosophical and technical challenge addressed in the paper is the conceptual issue with defining fundamental degrees of freedom that are inherently non-spatio-temporal within these quantum gravity frameworks. The realization of a continuum spacetime and geometry is described as a non-trivial result of collective dynamics, drawing analogies with known emergent phenomena in condensed matter physics.

New Ontological Perspectives

The work advocates for a revised ontology where continuum spacetime is viewed as an emergent, and possibly non-fundamental, phase of a system characterized by discrete quantum structures. This emergent spacetime phase should be understood as a macroscopic realization, much like condensed matter systems where large-scale behavior arises from microscale interactions. In doing so, Oriti challenges reductionist ontologies, asking for a flexible perspective that grants reality to multiple levels of description.

Implications and Future Directions

The paper opens doors to rethinking cosmological evolution as a relaxation process following a spacetime phase transition. By identifying "geometrogenesis" with significant cosmological events, such as the Big Bang, the notion expands existing cosmological models by integrating a quantum gravity perspective.

This approach can potentially offer falsifiable predictions via cosmological observations, linking microscopic quantum structures to observable large-scale phenomena. By relying on tools from quantum statistical field theory, including the renormalization group, Oriti anticipates a rigorous exploration of phase transitions in group field theories to substantiate the emergence of spacetime within this framework.

Concluding Remarks

"Disappearance and Emergence of Space and Time in Quantum Gravity" ultimately asks researchers to consider whether known macroscopic phenomena—in cosmic settings—can provide evidence of underlying non-spatiotemporal structures. Oriti's paper insists on maintaining philosophical investigations alongside physical ones, enriching quantum gravity theories with conceptual depth and pushing boundaries on understanding the universe's fundamental nature. This research is poised to redefine aspects of quantum gravity by emphasizing the need to integrate microscale discreteness into broader cosmological narratives.

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