If reality has finite information content, space has finite fidelity. The quantum wave function that encodes spatial relationships maybe limited to information that can be transmitted in a “Planck broadcast”, with a bandwidth given by the inverse of the Planck time, about 2×1043 bits per second. Such a quantum system can resemble classical space-time on large scales, but locality emerges only gradually and imperfectly. Massive bodies are never perfectly at rest, but very slightly and slowly fluctuate in transverse position, with aspectrum of variation given by the Planck time. This distinctive new kind of noise associated with quantum geometry would not have been noticed up to now, but may be detectable in a new kind of experiment.
