3 citations · 3 across the 1 of their papers we have counts for
6 papers
Planck-scale models of the Universe
Fotini Markopoulou
Suppose the usual description of spacetime as a 4-dimensional manifold with a Lorentzian metric breaks down at Planck energies. Can we still construct sensible theoretical models o…
Coarse graining in spin foam models
Fotini Markopoulou
We formulate the problem of finding the low-energy limit of spin foam models as a coarse-graining problem in the sense of statistical physics. This suggests that renormalization gr…
An algebraic approach to coarse graining
Fotini Markopoulou
We propose that Kreimer's method of Feynman diagram renormalization via a Hopf algebra of rooted trees can be fruitfully employed in the analysis of block spin renormalization or c…
Holography in a quantum spacetime
Fotini Markopoulou, Lee Smolin
We propose a formulation of the holographic principle, suitable for a background independent quantum theory of cosmology. It is stated as a relationship between the flow of quantum…
Dual formulation of spin network evolution
Fotini Markopoulou
We illustrate the relationship between spin networks and their dual representation by labelled triangulations of space in 2+1 and 3+1 dimensions. We apply this to the recent propos…
4D diffeomorphisms in canonical gravity and abelian deformations
Frank Antonsen, Fotini Markopoulou
A careful study of the induced transformations on spatial quantities due to 4-dimensional spacetime diffeomorphisms in the canonical formulation of general relativity is undertaken…