Space, time and causality are like a vast ordering structure for our observations. In Newtonian gravity, matter fills this structure according to the dynamical laws, but the structure itself stays rigid. General relativity unfreezed this rigidity: gravity bends spacetime, and the causal structure becomes itself dynamical. Quantum theory, on the other hand, has taught us that nature is intrinsically probabilistic -- the Heisenberg uncertainty principle sets a fundamental limit to how much we can now about a quantum system. The main theme of my research program is to bring these lessons together -- my goal is to understand the causal structure of spacetime once both quantum theory and general relativity become equally important. On a more technical level, the goal is to quantise the light cone structure of spacetime and treat the causal structure of spacetime as a quantum system itself.
My main research interests are:
- Quantum gravity
- Loop quantum gravity and spinfoam models
- Spin structure of spacetime
- Quasi-local observables/quasi-local realisations of the holographic principle