67 citations · 155 across the 7 of their papers we have counts for
7 papers
Quantum states of elementary three-geometry
G. Carbone, M. Carfora, A. Marzuoli
We introduce a quantum volume operator in three--dimensional Quantum Gravity by taking into account a symmetrical coupling scheme of three SU(2) angular momenta. The spectrum o…
Implementing holographic projections in Ponzano--Regge gravity
G. Arcioni, M. Carfora, A. Marzuoli +1
We consider the path-sum of Ponzano-Regge with additional boundary contributions in the context of the holographic principle of Quantum Gravity. We calculate an holographic project…
Crumpled triangulations and critical points in 4D simplicial quantum gravity
J. Ambjorn, M. Carfora, D. Gabrielli +1
This is an expanded and revised version of our geometrical analysis of the strong coupling phase of 4D simplicial quantum gravity. The main differences with respect to the former v…
The geometry of dynamical triangulations
J. Ambjorn, M. Carfora, A. Marzuoli
We discuss the geometry of dynamical triangulations associated with 3-dimensional and 4-dimensional simplicial quantum gravity. We provide analytical expressions for the canonical…
A Renormalization Group Approach to Relativistic Cosmology
Mauro Carfora, Kamilla Piotrkowska
We discuss the averaging hypothesis tacitly assumed in standard cosmology. Our approach is implemented in a "3+1" formalism and invokes the coarse graining arguments, provided and…
Entropy of random coverings and 4D quantum gravity
C. Bartocci, U. Bruzzo, M. Carfora +1
We discuss the counting of minimal geodesic ball coverings of -dimensional riemannian manifolds of bounded geometry, fixed Euler characteristic and Reidemeister torsion in a giv…