If quantum gravity implies a fundamental spatiotemporal discreteness, and if its “laws of motion” are compatible with the Lorentz transformations, then physics cannot remain local. One might expect this nonlocality to be confined to the fundamental discreteness scale, but I will present evidence that it survives at much lower energies, yielding for example a nonlocal equation of motion for a sc...

A bstract Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of conformal bootstrap, but understanding abstract implications discreteness integrality for space is lacking. We systematically study these constraints two-dimensional, non-holomorphic CFTs, making use two main mathematical results. First, we prove a theorem c...