DaveC426913 said:
Yes. x' simply means some other point along the x axis.
Great, thanks for that.
DaveC426913 said:
Poking an atom at x at time t cannot be a cause for the movement of an atom at x' at time t. The fact that they ar both at time t means they are separeted in space but not time, so for one to cause the other would require superluminal interaction. As soon as you have that, you can make causality violations.
Cool, got it thanks. Although I am not sure how quantum entanglement fits into all this.
As regards time travel:
DaveC426913 said:
Why? If you are moving relative to them at all, you're moving through spacetime at a different rate. One of the vlaues that will be in flux is time, just like any other dimension might be.
But we do it all the time when objects move relative to each other. Their passage through time diverges.
Ok, let me try and explain my thought process here.
First off, I agree that if I am moving relative to another frame then time dilates occurs. I think I've got a good handle on that now, and it was not my intention to challenge it. I whole heartedly support it.
I do still try and visualise just 'how' it happens. Which although is good fun, can get me into trouble leading me down the wrong path. (Such as this post!)
Whilst doing that (Trying to visualise) I was wondering if time or space time was quantised. I read some stuff on wiki about Plank time / length etc.
So it got me thinking that if time (or space time maybe) may be quantised, then we move through our world lines in discrete chunks, one after the other.
So what I was doing was taking a snapshot of the universe from my frame. Trying to visualise what one of the chunks was like.
So as it is a snapshot, nothing is moving, don't have to worry about the differences in time etc., just mapping where everything is in space and time relative to me at that moment.
As I was looking at it from my frame, all time would be the same. Hence t = 0. Now obviously, if we keep indexing the chunks we would observe time dilation, sure. But at this snap shot I took, time would = 0 wrt my FoR.
So next I imagined that I wanted to move through space time to the next 'chunk' as it were.
I can see that there are lots of options for me to choose in the spatial directions. But there are no options for me to move anywhere in time.
All I can do is move to the next chunk, where time resets to 0 again from my frame.
So in anyone plank unit of time, there is no future or past to go to for my FoR. The best I could do maybe is to move about in 1 plank unit of time.
So that lead me to think maybe that is why we can't travel in the time dimension. Although we still would experience differences in time due to time dilation, but the two are different in my mind.
And, looking at it this way, even if I could move backwards, chunk by chunk, all I would do is put the universe and everything in it in reverse. So even if I was to travel back with it, it would be pointless, as my thoughts would be running backwards too. (If that makes sense!)
What I mean by that is maybe the way we think requires forward movement in time, and maybe we can't go back and forward in time simultaneously.
Also, as an aside, I also wondered if this was how a photon would see life. (Bad terminology I know, photons don't have a frame a reference!) As they travel at the speed of light they are not bound to move through time as we do, so they are free to move through space. Hence from the photons point of view, instant travel. A photon would move spatially in this chunk of space time until it was absorbed.
Anyway, as I said, this is just my way of thinking about.
Now for the fun bit! Where all the people that really understand this tell me what a crock of it is. Which is fine, because that actually really helps me.
So thanks in advance!