You are focusing on the subjectivity of time, saying it is an appearance of change. Obviously, when something appears, it appears to someone. What relativity says is that this appearance itself, this subjective experience, is affected by motion through space in this way: a moving person feels his own time to be normal, but sees that of someone stationary to himself speed up.jupiviv wrote:@Cousinbasil - in the theory of relativity, time is defined as the reading on a measuring device(clocks). That is not "change" in the sense I'm talking about. The change I'm talking about is simply the appearance of different things. When things appear, there appears to be change.
Because in whatever "sense" you are speaking about change, motion through space affects the rate at which the change happens. If one is to measure time, one must find a device whose appearance changes in a regular manner. If two such devices are identical, their appearances will change synchronously, meaning they will always look the same as each other. Atomic clocks count nuclear decay events. The numbers they show are proportional to the number of events they detect. For samples of the same substance, decay rates are identical. Therefore, one can calibrate two atomic clocks such that though the count each one displays is ever increasing, the two counts are always the same as each other.
In such a situation, since different numbers keep appearing (they grow monotonically), they are changing in the sense you are talking about. The change is extremely regular, but one still would have a subjective sense of time going by.
But if the two clocks are placed in two reference frames and one departs from the other and then returns, the numbers on the two clocks will not be the same. Specifically, the number on the clock that left and came back would always be lower. Yet a person traveling with the clock would not have experienced any subjective slowing down of time; he would have experienced physical g-forces of accelerations, but that is the only difference (and it is not unrelated, of course!)
The bottom line is that even if you define time as the appearance of different things in succession, fewer things will be able to appear to the person who has been moving with respect to another. Of course, if they never meet up again, this difference cannot be observed by them, it can only be calculated using general relativity equations (which include accelerations.)
My point is that as carmel has noted, time and space are inextricably bound together. They seem fundamentally different to us in an experiential sense. For one thing, one can choose any one of the three overt spatial dimensions, and one can choose to move along it in either of two opposite directions. The dimension of time can only be traversed in one direction, although nothing in the formulation of physical laws demands this be so.