KolloquiumGRK Quantum Ricci Curvature and the search for observables in nonperturbative quantum gravity |  |
Speaker:Prof. Dr. Renate Loll, Institute for Mathematics, Astrophysics and Particle Physics Radboud
Location:Mathematisches Institut, Bunsenstr 3-5Onlinehttps://uni-goettingen.zoom.us/j/91336854872Gras Geo Map
Organizer:Fakultät für Mathematik und Informatik
Details:
Causal Dynamical Triangulations (CDT) is a candidate theory for quantum gravity, formulated nonperturbatively as the scaling limit of a regularized theory, which is defined on an ensemble of triangulated, piecewise flat spacetimes. Among the distinguishing features of CDT quantum gravity are its manifest background independence, its elegant resolution of diffeomorphism invariance, and the fact that it is amenable to quantitative, numerical evaluation. It has provided us with a blueprint of the "emergence" of a four-dimensional spacetime with classical properties from a quantum average of highly fluctuating geometric configurations.
The physical properties of any quantum gravity theory must be explored in terms of suitable geometric observables, describing the properties of quantum spacetime. Several (highly nonlocal) quantum observables of this kind are known and have been studied. They may exhibit counterintuitive quantum behaviour on ultrashort, Planckian scales, but in a large-scale limit must match expectations from classical General Relativity. Remarkably, we have recently managed to construct a well-defined notion of curvature at the Planck scale. After sketching some of the relevant physics background, I will motivate and introduce this new "quantum Ricci curvature" and explain how it helps us to understand further aspects of quantum geometry.
The physical properties of any quantum gravity theory must be explored in terms of suitable geometric observables, describing the properties of quantum spacetime. Several (highly nonlocal) quantum observables of this kind are known and have been studied. They may exhibit counterintuitive quantum behaviour on ultrashort, Planckian scales, but in a large-scale limit must match expectations from classical General Relativity. Remarkably, we have recently managed to construct a well-defined notion of curvature at the Planck scale. After sketching some of the relevant physics background, I will motivate and introduce this new "quantum Ricci curvature" and explain how it helps us to understand further aspects of quantum geometry.
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Type:Colloquium
Language:English
Category:Research
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Direct link to event:https://events.goettingen-campus.de/event?eventId=25469
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