  We investigate here the causal structure of spacetime in the vicinity of a
spacetime singularity. The particle and energy emission from such ultra-dense
regions forming in gravitational collapse of a massive matter cloud is governed
by the nature of non-spacelike paths near the same. These trajectories are
examined to show that if a null geodesic comes out from the singularity, then
there exist families of future-directed non-spacelike curves which also
necessarily escape from the naked singularity. The existence of such families
is crucial to the physical visibility of the singularity. We do not assume any
underlying symmetries for the spacetime, and earlier considerations on the
nature of causal trajectories emerging from a naked singularity are generalized
and clarified.
