Michael C said:
You keep on repeating the same thing. If we can deduce that one has "actually moved", then "actually moved" must have a clear definition. You haven't been able to give one.
I've never really had to define it before, it was something that I genuinely believed, and believe, is self-evidently true. I was hoping that by giving contextual examples it would become clear what was meant; again, examples I genuinely believed were fairly easy to comprehend.
The easiest way to think about it might be to think about it personally; imagine that you and a friend are standing about 2 feet apart, facing each other. Make a bet with your friend that the first person who moves loses the bet, and owes the other $50. Let's say your friend takes a step to the side, would you be within your rights to claim the $50?
Michael C said:
You keep repeating this, but offer no evidence. I sincerely do not think that "most people" would understand what you are getting at, but that is in any case beside the point. Here you are having a discussion with some particular people, most of whom have spent considerable time reflecting on the concepts of relativity and motion. If you can't make your ideas on motion clear to us, you need to have a think about why.
It might be worth aksing a few friends who don't have a background in science; if you are walking with them, ask them if both of you are actually moving; tell them that it isn't a trick question, it's a genuine question. Just see what answer they give.
I have thought about why people are having so much trouble understanding what I believe are very simple ideas; there are a number of reasons, some of which attributable to me, some of which attributable to those that can't understand, and some of which are attributable to the nature of the subject itself.
Michael C said:
No, the movement is always thought of with respect to the assumed frame. The idea of "actual movement" without a reference frame simply makes no sense. You could talk about "actual movement" if it was agreed that there was an absolute rest frame, in which case the term would mean "movement relative to the absolute rest frame", but without any reference frame the term has no meaning that I can discern, nor have you been able to define any such meaning.
The idea isn't necessarily "actual movement" without a reference frame; it is inevitbale that movement will take place in a reference frame, it's an unavoidable fact of the universe. The idea is that "actual movement" can be deduced from the motion within that reference frame.
The idea that movement is always thought of with respect to an assumed frame is not, I believe, entirely true; people, I would say, primarily think about the body doing the moving. They believe that they are the agent of the motion, in most cases.
I'm not sure if it clarifies the issue to speak about "the act of moving" i.e. the body which "does the action", as opposed to the passive object.
When walking down the street, there would be relative motion between you and the street, but you would be the active agent in the scenario, while the street would be the passive agent.
Michael C said:
It's just as nonsensical as saying that the term "distance" has a meaning when applied to one object: you can measure the distance between two objects, or the distance of one object from a specified reference point, but the "actual distance" of a single object is not a meaningful concept.
While you could measure the distance between two points on a single object, the it's not the same issue at all.
Indeed, distance is a factor in the example; two objects a given distance from each other, then the distance begins to increase; at least one of them has to be an active agent in causing that distance to increase.
Michael C said:
You're still repeating the same argument. You still don't give your definition of what "actually" means in this context.
as the truth or facts of a situation:
we must pay attention to what young people are actually doing
http://oxforddictionaries.com/definition/actually?q=actually
Michael C said:
Each observer see the other's clock as running slower than their own. The situation is symmetric and does not permit us to define in an absolute sense that one of the clocks as "moving" and the other as "at rest": for each observer, their own clock is at rest and the other clock is moving.
I understand that point about ER, but just address the question you asked
Michael C said:
Let's say it's "really" me that is moving. How is this situation different from the one where the car is "actually moving" and I am stationary? How does this difference manifest itself?
It might be more intuitive to say that it is the car that is actually moving.
If we assume that you and the clock are both on the earth, without assuming the nature of motion of the earth, either way; if you have a light clock and the observer in the car has a light clock, then the path length of the photon will have a pre-established path length, depending on the motion of the earth, wouldn't it?
That is, if you and the car were at rest on the earth, then the photon in the light clock would have a path length dependent on the motion of the earth, wouldn't it?
If we assume that the car is actually moving, such that you and the car are moving inertially, relative to each other, then the path length of the photon will be different to the path length of the photon in your clock. Meaning that it will either tick faster or slower, depending on the motion of the earth, no?