  The past decade has seen a tremendous effort toward unraveling the
relationship between entanglement and emergent spacetime. These investigations
have revealed that entanglement between holographic degrees of freedom is
crucial for the existence of bulk spacetime. We examine this connection from
the other end of the entanglement spectrum and clarify the assertion that
maximally entangled states have no reconstructable spacetime. To do so, we
first define the conditions for bulk reconstructability. Under these terms, we
scrutinize two cases of maximally entangled holographic states. One is the
familiar example of AdS black holes; these are dual to thermal states of the
boundary CFT. Sending the temperature to the cutoff scale makes the state
maximally entangled and the respective black hole consumes the spacetime. We
then examine the de Sitter limit of FRW spacetimes. This limit is maximally
entangled if one formulates the boundary theory on the holographic screen.
Paralleling the AdS black hole, we find the resulting reconstructable region of
spacetime vanishes. Motivated by these results, we prove a theorem showing that
maximally entangled states have no reconstructable spacetime. Evidently, the
emergence of spacetime is endemic to intermediate entanglement. By studying the
manner in which intermediate entanglement is achieved, we uncover important
properties about the boundary theory of FRW spacetimes. With this clarified
understanding, our final discussion elucidates the natural way in which
holographic Hilbert spaces may house states dual to different geometries. This
paper provides a coherent picture clarifying the link between spacetime and
entanglement and develops many promising avenues of further work.
