Sepulchrave said:
How can you say that they experience their ``present moments'' simultaneously?
In the two light scenario, Observer A sees the left and right lights flash at the same time. Observer B sees these lights flash one hour apart, as you say.
If both observers are in the same space-time frame of reference, it doesn’t matter when they see the lights flash by their clocks. A will say he sees the lights flash “now” at 12:00. B sees the lights flash later, one hour apart, say beginning at 2:00.
When A sees the lights flash he experiences “now” at the same moment B experiences “now”, the only difference is B hasn’t seen the lights flash yet. When B sees the first light flash, his “now” is still the same as A’s “now”. The same applies when B sees the second light flash one hour later.
By their clocks these “now” moments of the flashes are out of sync, but both being in the same time zone, so to speak, their “nows” are always the same, irregardless of when they see the lights flash by their clocks.
One could say when they see the lights flash it is “now”, and these “nows” are out of synch, but at what time by their clocks they see the flashes does not alter their in-synch “nows”.
When B sees the lights flash later than A, his “now” is still coinciding with A’s “now”, he just sees the lights later that A does.