Sean Carroll's latest paper considers (but doesn't really prove) a couple of interesting conjectures:
1. Gravity and space-time geometry are emergent properties of a quantum world that reflect the degree to which particles are entangled with each other (more entanglement implies shorter distances and the mass-energy coupling might emerge more or less naturally and automatically from the formulation).
2. Nature is a quantum system in a finite dimensional Hilbert space, rather than an infinite dimensional Hilbert space as generally assume in quantum mechanics, which would provide a natural (but elegant) cutoff that would insulate the real world from the infinities and singularities found in quantum mechanics and GR done in an infinite dimensional/continuous approximation.