faen said:
ghwellsjr said:
It's barely a page--I didn't mean the whole first part--just the first section called "Definition of Simultaneity". Can you at least read through it and tell me how many times he uses the word "define" or its variations?
Oh then it's no problem, I thought it was the whole kinematics part. It seems as if he defines simultaneity as when the clocks between two different frames measures the same time of light traveling back and forth. Which means that the frames are at equal speed.
It doesn't say anything there about how he defines unsimultaneous events. Does he believe that they are truly unsimultaneous, or just measured unsimultaneous? I get the impression that he doesn't conclude anything further than what can be measured.
I'm thinking about something like minkowsky space, that what is present for frame A, is something completely different from what is currently present at frame B. That is what I'm skeptic about.
A person wrote a book about how he believes that he has disproved presentism. What would your opinion be about something like that? Parts of his book is below in case you're interrested. I think the first page from the link would give an idea of his views.
http://books.google.hu/books?id=Azf...KpaDaCQ&sqi=2&redir_esc=y#v=onepage&q&f=false
Before you get into such things as minkowsky space or presentism, you need to thoroughly understand Special Relativity and by that time, maybe you won't care. At least I don't care about those things.
Now, you somehow got the idea that Einstein was talking about two different frames of reference in that first section of his paper and that they were traveling at some speed. He actually is
defining the concept of what a frame is and he calls it the "stationary frame" so he's not concerned about any speeds (except the speed of light) at this point.
So let me take you through how Einstein is showing us how to create a Frame of Reference or a system of coordinates. He does this with a series of definitions. The first definition is with regard to the three spatial components where he says we use "rigid standards of measurement" or rulers at right angles to each other.
The next definition has to do with time where he says that we use the reading of a clock located next to the event we want to associate time with. And if we want to attach a time to two events that are located some distance from each other, we need two identical clocks and we need a definition of how to synchronize those two clocks.
To illustrate how this is done, he envisions a setup involving one clock at location A with a light source that can emit a flash and at location B, some distance away, measured with a rigid ruler is a mirror and a second clock. When the flash is emitted at location A, the time on clock A, t
A is noted. Then when the flash reaches the mirror, the time on clock B, t
B is noted. Finally, when the reflection of the flash returns to A, the time t'
A is noted.
He states that the round trip speed of light can be calculated by taking double the distance between the two clocks (2AB) and dividing it by the total time interval it took for the light to make the round trip (t'
A-t
A) and that experiments have shown this to always equal the universal constant, c.
But, we cannot know what time between t
A and t'
A the light arrived at location B unless we supply a definition. In other words, we don't know what portion of the total time the light took to get from A to B as compared to getting from B back to A. Without a definition, we have a subjective situation but with a definition, we make it objective. And Einstein's definition is to make those two time intervals equal. So after doing the experiment we see if t
B-t
A, the time interval for the first portion of the trip is equal to t'
A-t
B, the time interval for the second portion of the trip. If they are, then the two clocks are synchronized. If not, we change the time on clock B to make them equal and we repeat the test to see if we have performed the synchronization correctly and we repeat until we have.
Now that we know how to synchronize a clock located at a remote location from a master clock, we place clocks at numerous locations throughout our 3-dimensional grid of rulers and make sure they are all synchronized to the clock at the spatial origin of the co-ordinate system. So now if we want to know the co-ordinates of any event, we look at the readings on the 3-dimensional grid of rulers and the time on the synchronized clock at the location of the event.
Thus, an "event" in Special Relativity is the four co-ordinates (three spatial and one temporal) defined according to a specified Frame of Reference.
What I want you to notice is that Einstein's definition of a Frame of Reference makes objective what previously had been subjective.
So now if you want to know if two events are at the same location, you look at their respective three spatial co-ordinates. If they match, they are at the same location, even if they are at different times. In exactly the same way, if you want to know if two events are at the same time, you look at their time co-ordinates. If they match, they are simultaneous even if they are at different locations. If they don't match, then they are, as you say, unsimultaneous.
Remember, we are just talking about co-ordinates defined according to a given Frame of Reference that we have "constructed".
Of course, someone else can construct a different Frame of Reference with a different origin (for both the spatial and temporal co-ordinates), with the axes pointing in different directions, and moving with respect to our Frame of Reference and then we would expect the co-ordinates to be all different, wouldn't we? But we shouldn't find that disturbing, it's purely a result of a different Frame of Reference.
Does this all make sense to you?