  If reality has finite information content, space has finite fidelity. The
quantum wave function that encodes spatial relationships may be limited to
information that can be transmitted in a "Planck broadcast", with a bandwidth
given by the inverse of the Planck time, about $2\times 10^{43}$ 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 a spectrum 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.
