russ_watters said:
Again, the logic is that if two objects are in relative motion with respect to each other, then at most one can be in absolute rest and the other must therefore be in absolute motion. Well sorry, but it doesn't matter how many times it is repeated in different contexts: the logic still doesn't follow. Why? Simply because it starts with the premise that absolute motion/rest exists. You cannot prove the existence of absolute motion/rest with a thought experiment that starts with the assumption that it exists. It is circular logic that reduces to "absolute motion exists because absolute motion exists".
OK, I see what you're making, but that re-formulation doesn't necessarily represent the point.
We don't start by saying that "at most, one can be in absolute rest"; we start without any reference to absolute rest, or any assumption of absolute rest; we take the example of two objects at rest relative to each other, the absolute nature of whose motion we cannot determine, as per the PoR.
Relative motion occurs between them; again, no assumption of absolute rest or absolute motion, as neither of them has to be at absolute rest.
To say that, "in order for relative motion to occur, one of them has to move", is something that would make sense to, I dare say, most people.
For example, if you have a parked car and want it moved, there are two alternatives; move the car, or moving everything else around the car. Again, this is something I think most people would understand.
So, for our two observers at rest relative to each other; for relative motion to manifest, one of them has to move.
Regardless of which one it is, it will still manifest as relative motion; but there are two possible explanations for why the relative motion manifests; my understanding is that we can deduce that either one, or the other, has to be correct; even if we cannot determine which one it actually is.
Alternatives
Here, we can consider the alternative explanations for why relative motion occurs between the observers. Take the example of the train pulling out of the station, where, for a moment, you can't tell if it is your train that is moving, or if it is the other train.
Incidentally, that is an example that doesn't qualify the term moving, but makes sense to most people.
The two alternatives there are; 1)your train is moving; 2)the other train is moving; both would cause relative motion to manifest, but both are different explanations of it.
If we assume, for the sake of the point, that it is the other train that leaves the station (without assuming that it "actually moves", it simply leaves the station). With the second option above, the explanation for why the train leaves the station is that it is the other train that is actually moving.
The first alternative above requires that it is the earth, the buildings and your train that are actually moving, while the other train rotates its wheels to remain stationary, much like a person running on a treadmill jogs "on the spot".
Both examples would account for the relative motion, but each one requires something to actually move.
That we can define a reference frame for both cases simply reiterates the idea that we cannot determine the absolute nature of motion of either i.e. we cannot determine which one is correct; but surely we can deduce that either one, or the other, is correct.
Rotating earth
Harrry's example might be more palatable, or easier to understand. Is the Earth actually rotating, or is everything in the universe revolving around the earth?
Both would account for the relative motion, but they are two different scenarios.
russ_watters said:
Nonsense. Absolute motion is a special case/subset of relative motion. Motion (speed) is the change in relative distance over the change in a time interval. If one of the references is absolute, then it is absolute motion. Otherwise, it is relative motion.
And more to the point, a definition can be whatever the consensus desires it to be. That's all definitions are!
and the consensus on the definition of the term "absolute" is
not qualified or diminished in any way; total
Philosophy
a value or principle which is regarded as universally valid or which may be viewed without relation to other things:
http://oxforddictionaries.com/definition/absolute?q=absolute
So to define absolute motion as being relative to an absolute reference frame would be a contradiction in terms.
I would have thought the question of absolute motion would have been a "yes" or "no", or either or, answer to the question "did X move?" or "did Y move?".
Move
[no object, usually with adverbial of direction] go in a specified direction or manner; change position:
- she moved to the door
- I heard him moving about upstairs
http://oxforddictionaries.com/definition/move?q=move
The above definition of "move" might help me to clarify my understanding. If we take the example of "she moved to the door".
"She moved to the door" would represent one reference frame.
"the door moved to her" would represent the other.
In both cases the movement is attributed to either the door, or "her". We cannot determine which one is correct, so when we ask the questions:
Did she move to the door? we answer, we can't tell.
Did the door move to her? we answer, we can't tell.
But from those, to my understanding anyway, we can deduce that either she moved to the door, or the door moved to her.
Either way the act of movement is ascribed to one or the other, in an absolute sense; even though it manifests relatively.
That would be my understanding anyway, and it appears to represent a stumbling block to learning relativity. Bahamagreen might perhaps be able to put it more clearly that I can, but I think the examples I've given are fairly intelligible to most people.