Let me try to reword it then (and I don't know anything about relativity, though I am using some of the same terms):
An outside observer can perceive if he is moving relative to something else, or if two things are moving relative to each other, right? Only if some sort of movement or change occurs can any time be perceived. Once THAT happens, one can find some sort of relative movement which remains consistent with respect to the observer, and call that a "second" and write it down in the international standards book or whatever. Yes, seconds, hours, etc. are arbitrary, but perceiving the passing of time is not. Thus, if no change or movement of any kind is perceived, then time, as we define it, is not passing. Therefore, we have something non temporal. Since there is no beginning, middle, or end in this situation, it is non temporal, or infinite.
Alright, this is beginning to enter a little too much into an area of quantum physics that I really don't know enough about to talk authoritatively on, and relativity is something I know even less about, so I will try and deal with this in the most basic way possible.
You are still thinking too much about time in human terms, and how we perceive it. Let's say I stare at my bedroom wall. I see nothing moving, does this mean time has stopped? Obviously that's a basic example but human perception is very limited and I would consider it inaccurate to say that we are able to truly 'perceive' time.
Back to the quantum physics. I'll admit this is a bit of a digression but I'm just saying it to illustrate a point, rather than prove it, especially since I have no idea how much this field has progressed since this discovery was first made. I don't know if you've come across this but a while back scientists noticed that when electrons were being observed they behaved like particles, but when they were not being observed they behaved like waves. This was discovered via the double-slit experiment, I won't go into detail about it now but if you want to research it then feel free. But my point is that as far as that experiment is concerned, our perceptions do not necessarily reflect reality.
Returning back to basic, common-knowledge science. Seeing things move is part of an equation. I assume you're familiar with the equation speed = distance / time. If you are watching 2 objects move relative to each other, then they are moving at different speeds, which is something that is a combination of both distance and time, not just time itself. I'm not sure I'm explaining this very well...but basically by watching things move that is our own perception of time, it is not necessarily the passage of time itself.
And yet again, you seem to be missing the most basic point I keep trying to make, that what you keep saying does not prove that there is a 'continuum' at all. Either something is moving or it isn't, as I keep saying. If something is not moving, then according to your own logic, time doesn't exist. As soon as it starts moving, time does exist. There is no continuum there. And if we are going to go by your logic, then unless I'm hugely misunderstanding (which I might be), you are suggesting that the faster an object move, the faster time travels, which is rubbish as demonstrated by the equation I mentioned just now.
Another poster pointed out that time is a dimension. As far as I'm aware, there is no 'in between' of dimensions: they are there, things belong in them or they don't. As far as I'm aware, they are not things that we create, but that we perceive according to our own limited knowledge, and to discuss these kinds of concepts purely in terms of our own empirical perceptions is just wrong, as far as I'm concerned.