It is cool.Just because I think its cool and relevant, check out this image of a light cone, particularly the part labeled "absolute elsewhere":
[qimg]http://bildung.freepage.de/cgi-bin/feets/freepage_ext/339483x434877d/rewrite/euklid/time/spatim.gif[/qimg]
It is cool.
And I think I've learned from your posts. I don't pretend to understand SR in anything but extremely broad strokes, but it's fascinating, and working through examples is always a bit boggling, and fun.![]()
If you got through to TGF then you have done well. (Forget about Navigator).Same to you, it was interesting trying to express as clearly as possible the issues related to SR. I don't know how well I did so, but I found the discussion useful for myself anyway.
The highlighted is wrong and in direct contradiction with special relativity.
If it were not wrong you could, for instance, tell me what the specific state of Dave's clock is when Cindy's reads 12 noon.
We can define a coordinate system and say within that system that at a time t, the universe exists in a particular state. Another coordinate system will show that synchronous with event A, which happens at time t in the original coordinate system, event B is also happening, but in the original coordinate system event B happens at time t+1.
The following are contradictory statements:
1. Both coordinate systems are valid.
2. Events B does not happen after event A in reality.
(much snipped)
Thus, reality is happening in specific sequences. It is different now than it is now because of all these events.
Even though it seems to defy "common sense" you need to accept that there is no reality except with regards to a reference frame. This is a consequence of the fact that the speed of light is the same in all reference frames. "Reality" is just one of many reference frames.Synchronicity in SR is different than in reality. SR requires a frame of reference, reality requires none.
It is a fine example for reality also.The ball on the train was an explanation of Galilean Relativity, specifically the relativity of space, it isn't an example of SR, though I was hoping that as an analogy it might some aspects of SR a little easier to understand.
The sequence it happened in reality. The ball bounces on the moving train. It just *is*. AND, the bouncing ball on the moving train is a sequence of events that happen, observed or not, experienced or not.If reality happens in some sequence then what sequence?
The clocks are devices that sequence events FOR THEM, from their frame.When Dave reads 12 noon on his clock, what time is it on Cindy's clock in reality?
Perhaps you need to accept there is a reality independent of frames of reference.Even though it seems to defy "common sense" you need to accept that there is no reality except with regards to a reference frame. This is a consequence of the fact that the speed of light is the same in all reference frames. "Reality" is just one of many reference frames.
Again, the ball on the moving vehicle is moving in space/time. It is a fact. It is reality. It is.To illustrate how relativity "defies" common sense, consider a person on a moving vehicle throwing a ball forward to somebody who is stationary. "Common sense" dictates that the receiver sees the ball approaching at the combined speed of the thrower and the vehicle. (Everybody knows that you just add the speeds).
The reference frame does not define reality, it merely describes it. You are confusing the perception with the fact.Now consider what happens when the same person switches on a torch. The beam of light will leave the torch-switcher-onner at speed C. To the receiver, you would expect to add the speed of the vehicle to that of the beam of light to find out how fast the beam approaches them. However, it turns out that the same beam of light also reaches the receiver at speed C.
Of course things MAY be sufficiently seperated as to have no apparent relationship.Your picture only works when everything is connected in some way. But things may be separated to such an extent that nothing I do here can affect something way over there within the "order of events" time frame.
Exactly. The universe doesn't care what you think, nor what your frame is. The universe moves along it's merry way.If there's no causal connection then the universe doesn't care whether I think one happened before the other or not.
Of course things MAY be sufficiently seperated as to have no apparent relationship.
But, as you (I believe) pointed out, it all started with the big bang. Ultimately, everything is related, no matter how far removed from that initial event.
Again, all that's peachy. If that's reality, that's reality.But things that were connected in the past might not still be connected (causal connection). If they move at different speeds through time then they might get mixed up.
We all start the race at the same spot. But some run in opposite directions at close to the speed of light. They become separated enough that they can no longer affect one another. There's no longer a causal link between them... or is there?
Again, all that's peachy. If that's reality, that's reality.
Agree.I don't think anyone is saying there isn't a reality, it's just that how we describe it - how we fit it in our heads - isn't so obvious. At least not to me.
For example, there's the idea that to be meaningful, we have to measure/observe it. And that's one way to claim what reality is. But that opens up the door to different people getting different measurements for what we think ought to be the same thing. Is our thinking wrong? Is the measurement wrong?
It's the "where do you stand" problem. We are embedded in the thing we want to look at as if we weren't trapped in it.
The clocks are devices that sequence events FOR THEM, from their frame.
Reality doesn't depend on what a clock says. Frames of reference do. The clocks help the frame understand what is being experienced. Reality doesn't care what "time" it is.
If you don't like clocks, choose whatever you like. Dave and Cindy each have a bomb. Bob sees both bombs explode at the same time. Alice sees them explode at different times.
Do Dave and Cindy die at the same time or does Cindy outlive Dave? You are clearly saying that only one sequence of events can be true, so which is it?
I don't think that's possible. Information about one bomb going off can only be transmitted to the other bomb at the speed of light so there will be a delay during which the second bomb can still go off.Make it so one bomb going off first prevents the other bomb from exploding at all for an even more counterintuitive twist. One person lives and one dies, but who? Can we change our frame of reference and change the outcome?
Agree.
Don't want to add anything, as as that's where things seems to get dicey![]()