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- Carlo Rovelli
- Scholarpedia
- 2008

We study the operator that corresponds to the measurement of volume, in non-perturbative quantum gravity, and we compute its spectrum. The operator is constructed in the loop representation, via a regularization procedure; it is finite, background independent, and diffeomorphism-invariant, and therefore well defined on the space of diffeomorphism invariant… (More)

In this internship report, we present Carlo Rovelli’s relational interpretation of quantum mechanics, focusing on its historical and conceptual roots. A critical analysis of the Einstein-Podolsky-Rosen argument is then put forward, which suggests that the phenomenon of ‘quantum non-locality’ is an artifact of the orthodox interpretation, and not a physical… (More)

- Carlo Rovelli
- Living reviews in relativity
- 1998

The problem of describing the quantum behavior of gravity, and thus understanding quantum spacetime, is still open. Loop quantum gravity is a well-developed approach to this problem. It is a mathematically well-defined background-independent quantization of general relativity, with its conventional matter couplings. Today research in loop quantum gravity… (More)

- Carlo Rovelli
- Physical review letters
- 2006

We study the graviton propagator in Euclidean loop quantum gravity. We use spin foam, boundary-amplitude, and group-field-theory techniques. We compute a component of the propagator to first order, under some approximations, obtaining the correct large-distance behavior. This indicates a way for deriving conventional spacetime quantities from a… (More)

We introduce a vertex amplitude for 4d loop quantum gravity. We derive it from a conventional quantization of a Regge discretization of euclidean general relativity. This yields a spinfoam sum that corrects some difficulties of the Barrett-Crane theory. The second class simplicity constraints are imposed weakly, and not strongly as in Barrett-Crane theory.… (More)

- Jonathan W Engle, Roberto Pereira, Carlo Rovelli
- Physical review letters
- 2007

Spin foam models are hoped to provide the dynamics of loop-quantum gravity. However, the most popular of these, the Barrett-Crane model, does not have the good boundary state space and there are indications that it fails to yield good low-energy n-point functions. We present an alternative dynamics that can be derived as a quantization of a Regge… (More)

I sketch the main lines of development of the research in quantum gravity, from the first explorations in the early thirties to nowadays.

- Carlo Rovelli
- 2008

Hundred and forty-four years have elapsed between the publication of Copernicus’s De Revolutionibus, which has opened the great scientific revolution of the XVII century, and the publication of Newton’s Principia, the final synthesis that has brought that revolution to a spectacularly successful end. During those hundred and forty-four years, the basic… (More)

We consider the cluster of problems raised by the relation between the notion of time, gravitational theory, quantum theory and thermodynamics; in particular, we address the problem of relating the ”timelessness” of the hypothetical fundamental general covariant quantum field theory with the ”evidence” of the flow of time. By using the algebraic formulation… (More)