causal structure

All space-time points {event} have past-set and future-set, so space-time has possible causes and effects {causal structure}. Space-time events change causal structure over time and space.

Space-time points have a space-time region {global causal structure} that light can reach in the future. A space-time point can only affect those events. A space-time point has a space-time region whose events can affect it.

Space paths cannot reverse time, so no event can happen at two times. Between past point and future point reachable from past point, all space-time points are reachable {hyperbolic space-time, global}, so space-time has no singularities.

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