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Why are the effective equations of loop quantum cosmology so accurate?
Carlo Rovelli, Edward Wilson-Ewing
We point out that the relative Heisenberg uncertainty relations vanish for non-compact spaces in homogeneous loop quantum cosmology. As a consequence, for sharply peaked states qua…
Quantum-Reduced Loop-Gravity: Relation with the Full Theory
Emanuele Alesci, Francesco Cianfrani, Carlo Rovelli
The quantum-reduced loop-gravity technique has been introduced for dealing with cosmological models. We show that it can be applied rather generically: anytime the spatial metric c…
Coupling and thermal equilibrium in general-covariant systems
Goffredo Chirco, Hal M. Haggard, Carlo Rovelli
A fully general-covariant formulation of statistical mechanics is still lacking. We take a step toward this theory by studying the meaning of statistical equilibrium for coupled, p…
Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity
Carlo Rovelli, Francesca Vidotto
A simple argument indicates that covariant loop gravity (spinfoam theory) predicts a maximal acceleration, and hence forbids the development of curvature singularities. This suppor…
The boundary is mixed
Eugenio Bianchi, Hal M. Haggard, Carlo Rovelli
We show that Oeckl's boundary formalism incorporates quantum statistical mechanics naturally, and we formulate general-covariant quantum statistical mechanics in this language. We…
Death and resurrection of the zeroth principle of thermodynamics
Hal M. Haggard, Carlo Rovelli
The zeroth principle of thermodynamics in the form "temperature is uniform at equilibrium" is notoriously violated in relativistic gravity. Temperature uniformity is often derived…