  In the setting of the Berenstein-Maldacena-Nastase Matrix theory, dual to
light-cone M-theory in a PP-wave background, we compute the Von Neumann
entanglement entropy between a probe giant graviton and a source. We
demonstrate that this entanglement entropy is directly and generally related to
the local tidal acceleration experienced by the probe. This establishes a new
map between local spacetime geometry and quantum entanglement, suggesting a
mechanism through which geometry emerges from Matrix quantum mechanics. We
extend this setting to light-cone M-theory in flat space, or the
Banks-Fischler-Shenker-Susskind Matrix model, and we conjecture a new general
relation between a certain measure of entanglement in Matrix theories and local
spacetime geometry. The relation involves a `c-tensor' that measures the
evolution of local transverse area and relates to the local energy-momentum
tensor measured by a probe.
