Holography with branes and/or cutoff surfaces presents a promising approach
to studying quantum gravity beyond asymptotically anti-de Sitter spacetimes.
However, this generalized holography is known to face several inconsistencies,
including potential violations of causality and fundamental entropic
inequalities. In this work, we address these challenges by investigating the
bulk scattering process and its holographic realization. Specifically, we
propose that the information on a brane/cutoff surface Q propagates according
to the induced light cones originating from a fictitious asymptotic boundary
behind Q, rather than the conventional ones originating from a point on Q.
Additionally, we establish the validity of the connected wedge theorem for
generalized holography with induced light cones. We also demonstrate that
entropic inequalities remain valid within the induced causal diamonds. While
the induced light cone seemingly permits superluminal signaling, we argue that
this causality violation can be an artifact of state preparation for radially
propagating excitations, rather than local operator excitations on Q.Comment: 41 pages, 16 figure