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# Documents  Rovelli, Carlo | enregistrements trouvés : 8

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## Twistor theory for LQG Eastwood, Michael | CIRM H

Post-edited

Research talks

Twistor Theory was proposed in the late 1960s by Roger Penrose as a potential geometric unification of general relativity and quantum mechanics. During the past 50 years, there have been many mathematical advances and achievements in twistor theory. In physics, however, there are aspirations yet to be realised. Twistor Theory and Loop Quantum Gravity (LQG) share a common background. Their aims are very much related. Is there more to it? This talk will sketch the geometry and symmetry behind twistor theory with the hope that links with LQG can be usefully strengthened. We believe there is something significant going on here: what could it be? Twistor Theory was proposed in the late 1960s by Roger Penrose as a potential geometric unification of general relativity and quantum mechanics. During the past 50 years, there have been many mathematical advances and achievements in twistor theory. In physics, however, there are aspirations yet to be realised. Twistor Theory and Loop Quantum Gravity (LQG) share a common background. Their aims are very much related. Is there more to it? This ...

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## The essential role of coherent states in quantum gravity Rovelli, Carlo | CIRM H

Multi angle

Research talks;Mathematical Physics

Conventional quantum field theory techniques do not work for extracting physical information from a background-independent quantum theory of gravity. A technique that works is Oeckl's boundary formalism, with semiclassical coherent states on the boundary. I illustrate how this technique has allowed us to compute the lifetime of a black hole in loop quantum gravity. This is an astrophysical relevant quantity that could have observational consequences. Conventional quantum field theory techniques do not work for extracting physical information from a background-independent quantum theory of gravity. A technique that works is Oeckl's boundary formalism, with semiclassical coherent states on the boundary. I illustrate how this technique has allowed us to compute the lifetime of a black hole in loop quantum gravity. This is an astrophysical relevant quantity that could have observational ...

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## Twist and loop Rovelli, Carlo | CIRM H

Multi angle

Research talks

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## The quantum states and operators of the canonical LQG Lewandowski, Jerzy | CIRM H

Multi angle

Research talks

83CXX

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## The palatial twistor approach to Einstein lambda vacuums Penrose, Roger | CIRM H

Multi angle

Research talks

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## Skyrme fields, multi-instantons and the $SU(\infty )$-Toda equation Plansangkate, Prim | CIRM H

Multi angle

Research talks

We construct Skyrme fields from holonomy of the spin connection of multi-Taub-NUT instantons with the centres positioned along a line in R3. The domain of our Skyrme fields is the space of orbits of the axial symmetry of the multi-Taub-NUT instantons. We obtain an expression for the induced Einstein-Weyl metric on the space and its associated solution to the $SU(\infty )$-Toda equation.

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## Quantum gravity Rovelli, Carlo | Cambridge University Press 2004

Ouvrage

- xxvi; 458 p.
ISBN 978-0-521-71596-6

Cambridge monographs on mathematical physics

Localisation : ouvrage RdC (ROVE)

équation de Hamilton-Jacobi # espace de boucles # gravité quantique # mécanique quantique # relativité quantique # relativité général

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## Covariant loop quantum gravity:an elementary introduction to quantum gravity and spinfoam theory Rovelli, Carlo ; Vidotto, Francesca | Cambridge University Press 2015

Ouvrage

- xii; 254 p.
ISBN 978-1-107-06962-6

Localisation : Ouvrage RdC (ROVE)

gravité quantique # théorie des boucles # thermodynamique des trous noirs # théorie de jauge # formalisme de tétrade # action de Holst # calcul de Regge # variable de Ashtekar # formalisme ADM # amplitude de Ponzano-Regge # amplitude de Turaev-Viro # état cohérent # couplage de matière # propagateur du graviton # mousse de spin

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