199 citations · 230 across the 2 of their papers we have counts for
6 papers · 1 filter
Statistical Mechanics of Graphity Models
Tomasz Konopka
Graphity models are characterized by configuration spaces in which states correspond to graphs and Hamiltonians that depend on local properties of graphs such as the degrees of ver…
Quantum Graphity: a model of emergent locality
Tomasz Konopka, Fotini Markopoulou, Simone Severini
Quantum graphity is a background independent model for emergent locality, spatial geometry and matter. The states of the system correspond to dynamical graphs on N vertices. At hig…
Quantum Graphity
Tomasz Konopka, Fotini Markopoulou, Lee Smolin
We introduce a new model of background independent physics in which the degrees of freedom live on a complete graph and the physics is invariant under the permutations of all the p…
A Field Theory Model With a New Lorentz-Invariant Energy Scale
Tomasz Konopka
A framework is proposed that allows to write down field theories with a new energy scale while explicitly preserving Lorentz invariance and without spoiling the features of standar…
The Free Particle in Deformed Special Relativity
F. Girelli, T. Konopka, J. Kowalski-Glikman +1
The phase space of a classical particle in DSR contains de Sitter space as the space of momenta. We start from the standard relativistic particle in five dimensions with an extra c…
Foliations and 2+1 Causal Dynamical Triangulation Models
Tomasz Konopka
The original models of causal dynamical triangulations construct space-time by arranging a set of simplices in layers separated by a fixed time-like distance. The importance of the…