35 citations · 113 across the 10 of their papers we have counts for
10 papers
Energy bounds for vertex operator algebra extensions
Sebastiano Carpi, Luca Tomassini
Let V be a simple unitary vertex operator algebra and U be a (polynomially) energy-bounded unitary subalgebra containing the conformal vector of V. We give two sufficient condition…
Building non commutative spacetimes at the Planck length for Friedmann flat cosmologies
Luca Tomassini, Stefano Viaggiu
We propose physically motivated spacetime uncertainty relations (STUR) for flat Friedmann-Lemaître cosmologies. We show that the physical features of these STUR crucially depend on…
Comment on "Can we measure structures to a precision better than the Planck length?"[arXiv:1205.3636], by Sabine Hossenfelder
Sergio Doplicher, Gherardo Piacitelli, Luca Tomassini +1
First principles do imply a non-zero minimal distance between events in spacetime, but no positive lower bound to the precision of the measurement of a single coordinate.
Length and distance on a quantum space
Pierre Martinetti, Luca Tomassini
This contribution is an introduction to the metric aspect of noncommutative geometry, with emphasize on the Moyal plane. Starting by questioning "how to define a standard meter in…
Convexification in the limit and strong law of large numbers for closed-valued random sets in Banach spaces
Francesco S. de Blasi, Luca Tomassini
We prove a strong law of large numbers for random sets with bounded and closed values contained in an arbitrary (not necessarily separable) Banach space. We make use of a notion of…
Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
Pierre Martinetti, Luca Tomassini
We study the metric aspect of the Moyal plane from Connes' noncommutative geometry point of view. First, we compute Connes' spectral distance associated with the natural isometric…