Originally posted by: BirdieNumNum
but here i'll say that spacetime itself is a mathematical construct that is internally inconsistent. Nothing can move in a time dimension by definition. That would be self-referential. There can be no time dimension because if there was, we should be able to travel through it, and then we should be able to answer questions like what is the velocity of something that travels in the time dimension. We have a self-reference problem there. It is then also a fallacy to think that time changes. We can think of passage of time as just the rate of change etc. Clocks which "measure" time can slow down or speed up. But not time. Time is just an abstract notion that should be used as an evolution parameter. But we have turned it into all kinds of things, to the point that we now even see spacetime or detect spacetime in the physical world.
But why do you think that every dimension has to be spatial in nature? Dimension means number of coordinates needed to represent an object. Of course we need a fourth one to distinguish between time. The chair on which I am sitting, if you represent that only with x, y, z, how will you differentiate between me sitting there and when it is empty? We need a 4th dimension for that, a fourth coordinate, doesn't mean that it has to follow the rules of space, it's not a 4th dimension of space.
As to motion, of course we are moving in time. We are moving in future, aren't we? Of course it makes sense relative to a frame. We feel moving always in "normal" time because we are always at rest in our own frame. Increasing velocity will slow our time as compared to another observer. Thus, he will feel normal because he is at rest in his own frame. But within another frame, his time will be seen passing as slow. Returning back will show that you lost time.
I read this analogy somewhere. Consider two directions North and West as time and space. When you are not moving in west i.e. space, you are moving towards North i.e. time. Your velocity is fixed, c(four velocity). If you move towards West, you will move less towards North. Meaning you are moving less in time now. If you could theoretically achieve c in West aka space, you won't move in North aka time.
And wouldn't FTL give imaginary results, not time reversal? Isn't the equation sqrt(1-(v^2/c^2)? v=c will give 0, but v>c will give imaginary number.
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