I'm interested in the Foundations of Physics from a, broadly speaking, (quantum-)information-theoretic perspective. The main motivation of my research is summarized in Wheeler's "it from bit" doctrine: all things physical are information-theoretic in origin.
More concretely, some questions that I'm interested in are:
* Foundations of quantum mechanics: How can the abstract mathematical formalism of quantum theory be understood in terms of simple physical principles? Could quantum theory be modified in some regime, and how can we build experiments to test for this? Are quantum theory and spacetime fundamentally related, and what does this tell us about quantum gravity?
* Quantum thermodynamics: How do closed quantum systems thermalize? Is entanglement a crucial factor for the emergence of statistical ensembles, as conjectured in the longstanding "eigenstate thermalization hypothesis"? What is the role of information-theoretic resources like correlations or algorithmic complexity in the behavior of heat and work in microscopic systems?
* Physics as induction -- see the announcement of my FQXi project: http://fqxi.org/community/forum/topic/2678 and http://fqxi.org/grants/large/awardees/view/__details/2016/mueller