Constraining the loop quantum gravity parameter space from phenomenology

Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics

Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity phenomenological models and their possible links to loop quantum gravity. Particle frameworks, including kinematic models, broken and deformed Poincaré symmetry, non-commutative geometry, relative local...

Separable Hilbert space in Loop Quantum Gravity

We study the separability of the state space of loop quantum gravity. In the standard construction, the kinematical Hilbert space of the diffeomorphism-invariant states is nonseparable. This is a consequence of the fact that the knot-space of the equivalence classes of graphs under diffeomorphisms is noncountable. However, the continuous moduli labeling these classes do not appear to affect the...

Quantum Gravity Phenomenology

I give a brief non-technical review of " Quantum Gravity Phenomenology " and in particular I describe some studies which should soon allow to establish valuable data-based constraints on the short-distance structure of spacetime. The " quantum-gravity problem " has been studied for more than 70 years, but we still do not have a single experimental result whose interpretation requires us to advo...

Quantum Foam and Quantum Gravity Phenomenology

The Kantowski-Sachs Space-Time in Loop Quantum Gravity

We extend the ideas introduced in the previous work to a more general space-time. In particular we consider the Kantowski-Sachs space time with space section with topology R× S. In this way we want to study a general space time that we think to be the space time inside the horizon of a black hole. In this case the phase space is four dimensional and we simply apply the quantization procedure su...