Spacetime from bits Speaker(s): Silke Weinfurtner
Abstract:
We present a new description of discrete spacetime in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is ergodic in the class of spacetime manifolds respecting coordinate invariance of general relativity. Spacetime fluctuations can be represented in a classical lattice gas model whose Boltzmann weights are constructed with the discretized form of the EinsteinHilbert action. Within this framework, it is possible to compute basic quantities such as the Ricci curvature tensor and the Einstein equations, and to evaluate the path integral of discrete gravity. The description as a lattice gas model also provides a novel way of quantization and, at the same time, to quantum simulation of fluctuating spacetime. Date: 16/04/2015  2:30 pm
Series: Quantum Gravity
