Quote:
Originally Posted by Morbert
If I understand this correctly, you are saying the existence of a preferred reference frame (i.e. a reference frame that reflects the "true" motion of an object). The problem is you are begging the question. To reiterate, your line of reasoning is:
1) Two observers are moving, relative to each other.
2) Therefore at least one of the observers must have an absolute velocity, and one of their reference frames, on a metaphysical level, must be incorrect.
3) Therefore absolute velocities exist.
I am saying 2) does not follow from 1) unless you assume 3). You are implicitly assuming the very thing you are trying to show. Instead, relativity only permits us to say
1) Two observers are moving, relative to each other.
2) Therefore there is absolutely motion between the two observers.
To say/deduce anything else requires more assumptions.
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OK; I think this is probably where the confusion lies. The contention isn't necessarily that there exists a preferred frame of reference, which reflects the true motion of objects. The contention is that we can deduce that at least one of two relatively moving bodies must be in absolute motion.
The existence of an absolute reference frame isn't a necessary assumption, because we are talking about the underlying physical process which the mathemeatical reference frames attempt to describe. We are talking about the nature of motion, as opposed to it's measurement.
The problem probably lies in the historical concept of what "absolute motion" means; it was taken to mean motion relative to an absolute reference frame; but that, of course, would be a contradiction in terms; because what is absolute is not, by definition, relative. So there is no necessity for an absolute reference frame to exist.
"Absolute motion" is a statement about the nature of motion of an object, which is not necessarily a measurable quantity, but it does have deductive consequences. "Absolute motion" is a "yes or no", "either, or" question:
"Is X moving?"
"Is Y moving?"
"Is X or Y moving?"
It is also unqualified statements such as "I am moving" or "I am not moving".
Physical processes
Absolute motion is probably easier to interpret using contextual examples; like the example of the observer walking along the earth. As you mentioned in another thread, the observer cannot determine if it is they that is moving, or if the earth is behaving like a spinning log. Here we have two deductively different scenarios which both account for the relative motion between an observer and the road - actually we have three, where the earth is behaving like a spinning log and the observer is walking at a pace that doesn't exactly offset the rotation of the log.
In all cases, the nature of motion ascribed to each object is different, but all result in the same relative motion. We cannot determine which of the three scenarios is the true one, but we can deduce that one of them has to be, because otherwise there would be no relative motion.
Just to reiterate, absolute motion is not relative i.e. it is not necessarily motion relative to an absolute rest frame, so such an assumption isn't necessary.
Quote:
Originally Posted by Morbert
I did indeed. Which is why I said "is not supported" rather than "contradicted". You are not merely saying "absolute motion, in the sense of an absolute velocity, may or may not exist". You are saying it can be shown to necessarily exist, based on our current understanding of motion. I am saying our current understanding of motion does not support the notion of an absolute velocity.
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I'm not necessarily saying that there exists an absolute velocity, because that would imply some measurable quantity; and measurement, by its very nature, is relative, not absolute.
I'm not so sure that I would say that absolute motion can be deduced from our current understanding of motion, becaues the idea of "our current understanding of motion" is somewhat vague; what is being said is that based on the observation of relative motion - not necessarily contemporary interpretation of that observation - we can deduce, in general, three different scenarios that can account for the relative motion between bodies; each of these scenarios, necessarily, distinguish between the nature of motion of the bodies involved, that is, they make reference to the motion of the body in a manner that isn't necessarily relative i.e. in an absolute manner.
We cannot determine which of the three scenarios is the true one, but we can deduce that one of them has to be, and therefore that at least one of the bodies must absolutely be in motion.
Quote:
Originally Posted by Morbert
In the other thread, you make the argument that relativity implicitly assumes absolute motion, and I figured you were doing the same thing here. Can I assume you no longer believe relativity says absolute motion, in the sense of absolute velocity, exists?
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No, I would still maintain that.
Quote:
Originally Posted by Morbert
I assume by "moving" you mean absolute motion. If this is the case, "I am not [full stop]" has two interpretations. It means either I have an absolute velocity of 0, or it means absolute velocity, and hence absolute motion, does not exist.
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Again though, we can outline three general scenarios to account for the relative motion between two bodies, each of which makes reference to the absolute motion of one or the other bodies i.e. by making a statement about the movement of the body, that isn't necessarily relative. So this determines that absolute motion does exist.
There might be some confusion being caused by the conflation of absolute velocity with absolute motion, where the former referes to a measurable quanity, while the latter refers to the nature of motion, which isn't necessarily measurable.
So, absolute velocity doesn't necessarily exist, because it implies some measurable quantity, and measurement is by nature relative, not absolute. Theoretically, if we could determine an absolute reference frame we could possibly perform a measurement which we could label "absolute velocity", even though it would technically be velocity relative to a body at absolute rest; but we cannot determine whether or not a body is at absolute rest or not.
Absolute rest
The issue of absolute rest is somewhat different, and you would be right in saying that it is possible that an absolute rest frame doesn't exist, but this in itself would have two interpretations; firstly, that mathematically constructed reference frames don't have phyiscal existence; and secondly, that an absolute rest frame doesn't exist because there is no object in the universe that is at absolute rest; that is, everything in the universe is absolutely in motion.