Cyperium:
When considering how two people agree on the current moment, it seems that it depends on the speed of light.
No. It just depends on them synchronising their watches. However, it turns out that, if the two people are going to move relative to one another, they won't be able to maintain that synchronisation. Their watches will go "out of sync" when they move.
We don't notice this sort of thing much in our daily lives, however, because most of us don't flit around at large fractions of the speed of light. Far from it.
If I do any action *now* the information of that action will be transferred to any observer by the speed of light, so isn't it fair then to say that we differ on our perception of what is *now* by the time information travels from one person to another?
No, because we know how to account for signalling delays. We know what the speed of light is. So if we know that star X is 250 light years away and we suddenly see it explode, then we know that the light we just saw took 250 years to get from star X to us. We then conclude that, in fact, star X is not exploding
now (when we see the explosion), but that it actually exploded 250 years ago and we're only just seeing the explosion now.
Now, if that is true, we could take it to the extreme, so that if someone is standing ~300 million meters away from me, his current moment is now 1 second in the past for me.
Not if his watch is synchronised with yours.
Look, the two of you can synchronise your watches before he leaves. Then,
very slowly, he can move 300 million meters away from you, and his watch will stay
approximately in sync with yours. After that, even though he is 300 million metres from you, you can both agree on what happened at 2 pm last Tuesday, in your specific locations.
Just as we have different locations in space, we also have different locations in time.
Relativity describes our motion through spacetime as a
worldline. Suppose you stand still for 1 hour. In relativity, your worldline would be a straight line in spacetime, with constant position coordinates and a time coordinate that increases at 1 second per second.
The further away from me, the further in the past is the current moment for any other person, depending on how much time light have taken to reach that person.
No, because that person can do the maths on the signalling delay, as long as they know how far away from you they are.
If we take it to the ultimate extreme, the current moment of the Universe itself, must be the Big Bang or at least how far in time that light (thus information) has been able to reach us.
No. Because we can account for the time delay it has taken light from the big bang to travel to us from distant places in the universe, then appropriately back-date events that we are seeing now using light from far away.
If we don't regard relative motion at all, that must mean that everything is actually happening at the same time.
Well, yes. It means that if everything in the universe was stationary, then you could give people anywhere in the universe synchronised watches and they would all agree on the current time (and remain in sync).
The only seperation of times being due to relative motion.
Yes, and also acceleration, as it turns out.
I want to grasp the simpler idea of the current moment without the complexity of relative motion. Because that would help me understand why science says that there is no universal *now* and how *now* is propagating.
Let me know how you go understanding the explanation I have just given you about clock synchronisation and signalling delays. There are no bizarre relativistic effects involved in any of that. Just an understanding that the speed of light is finite.
So *now* isn't itself information?
"Now" is just a particular moment of interest on your watch. As soon as you see it, your time has moved on. (Actually,
before you see it, because light has to travel from your watch to your eye.)
Perception is a valid measure of the universality of *now* though if we take it to large enough scales.
By "perception" do you mean observation and actual measurement (using a stopwatch, for instance), or do you mean something more like your fuzzy human feelings about time passing? The latter aren't a very reliable measure of the passage of time.
I still find it a bit confusing that any relative movement (maybe with acceleration) breaks the universality of *now* so that *now* in an accelerating frame could be different from my own *now*.
The reference frame doesn't have to be accelerating. Even motion at constant relative velocity will do the trick.
Time can move slower or faster, but the end of it, the current moment just seems to me to always be the same for everyone.
If I take a fast rocket trip to Alpha Centauri and back, in the process aging 2 years while you stay on Earth and age 10 years, then you'll have trouble trying to sustain the idea that "really" our respective experiences of time were the same.
Maybe the trouble is defining what a 'now' really is.
Relativity doesn't have trouble. For a particular observer - e.g. yourself - some events are in what is called your "past light cone" and some events are in what is called your "future light cone". Your past light cone contains all events in space and time that can possibly have influenced you in any way, including all the events you can possibly know anything about at this instant. Your future light cone contains all events in space and time that you can possibly influence by any action you take in the current instant.
In this picture, your "now" is a single point that lies between your past and future light cones. It contains all the events that are happening right where you are, at this exact instant in time.
Of course, 10 minutes from now, your past light cone will have expanded, because you will be able to receive signals, in principle, from 10 light minutes further away than you can now. Your future light cone will also have changed. And so will that single point between the two, that you want to call "now".
Also, it's important to realise that
my light cone is not the same as yours, because we are not located at the same position in space. I can therefore know about things you cannot know about
now. I can also influence certain things in the future that you cannot, and vice versa.
Cause we could say that all time exists at once, the past and the future, and that time is only an illusion by the brain, making 'now' a subjective experience and subjective only.
Events seem to happen irrespective of the presence of brains. (Although, this is philosophical question we could debate.) That suggests that time is not purely psychological, and certainly not an "illusion".
You have probably noticed that everything doesn't happen at once, for instance. That suggests to me that time is a thing. How about you?