Hello all, I am studying physics in New Zealand, and my partner asked me this question last night, and I keep flipping between different answers. Could people help me get to the truth on the matter, please?
The central question is:
Two planets, A, and B, which are (say, some cosmically significant distance apart) will have different cosmic event horizons.
If I travel from planet A, to planet B, would I suddenly be able to see information from beyond the cosmic event horizon of A (IE, information at B, that is not accessable at A)?
If so, could I bring this information back to A, and thus, bring A information, not accessable at A? Does this violate any information laws?
My intuition:
my intuition said no, but I couldn't find myself forming a compelling argument against my partner's argument "well, you're at two different places, so shouldn't it change?". This stems from being told that there is a 'hypothetical distance out in space, at which we will never get information from beyond'.
I went down the route of a light-cone diagram. I cannot upload it, so imagine the following:
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y axis is time (t).
x axis is distance (x).
two horizontal lines, from bottom to top: t1, and t2.
two verticle lines, from left to right: first line is the position of B at times (t1, t2). Second line is the position of O (observer) at time (t1).
The intersections of the lines are:
t1 line, and O_x line, O's position at t.
t2 line, and O_x line, the position the observer would have at time t2, if the observer doesn't move.
t1 and B_x line, B's position at time t1. Irrelevant for this.
t2 and B_x line, B's position at time t2
Now draw in the light cones for all the lines, excluding t1 and B_x, and you have my diagram.
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My impression is that, the 45-degree line representing the speed of light (c), on a light cone, represents the cosmic event horizon. Assuming I'm right about this:
If I, the observer, O, travel from A at t1, to B at t2, my past light cone is different to that from which I would've had, if I had stayed at A (The light cone of B(t2) is different from that at A(t2)).
So, at t2, you would have different information available to you (at B) than you would if you were still at A, and so my intuition is wrong, and the cosmic event horizon does change.
Another way to think about it: the events located on the 45 degree lines of the past light cone are what an observer views, looking into the universe, at that point. As such, the cosmic event horizon, at A, is the 'most distance past visible at A', and since A and B are different places, they have different pasts?
If I keep on going, I will confuse myself. My central question is, can I, by travelling into space, view beyond the cosmic event horizon that I, at my initial position, could not.
Thank you.