fallacyalert, stop saying space is composed of particles. i have criticized you for this before. space is not composed of particles or atoms or any such thing, as i have explicitly and repeatedly stated, and as even round earthers agree.
every conclusion you draw from such a bs assumption is utterly irrelevant. have you finished being an idiot?
"Space could just simply exist as separate, multiple points," is nonsense as space is not composed of particles, space is composed of one entity. this is the crucial fact every single one of you are ignoring. that one entity exists in every location in space.
i'm not sure why you're talking about vacuums, we're discussing space as in the four dimensional undercurrent to everything, not 'outer space'.
none of you are providing anything other than assertion. why are you expecting the thing by which we measure acceleration (space, and so distance) to behave in the same way as the things within it? that's absurd.
Space does not need to be comprised of particles for the multiple location thing to be proven wrong. Even if space is 'one entity', as you say, then it cannot have infinite acceleration because it is one single thing occupying every available point of space that it can fill, so it cannot be accelerating because there is nowhere for it to move to.
For this one thing that exists in every location in space to be infinitely accelerating is wrong according to your previous point anyway, because then again, it would be reaching those defined points of distance 'a' and 'b' before the recording has even started, which doesn't work as part of a proper test.
you are still thinking in terms of matter. for matter to exist in more than one location, the fundamental atom (or rather, planck length part of an atom) would need to be in two locations. this is because matter is made up of particles, and those particles are what is relevant.
space, as one entity not composed of trillions of planck lengths, themselves all entities, is different. space is space.
it doesn't matter if you measure from a to b or b to a. by definition, space is at both those points. it's not a matter of testing, it's a matter of fundamental fact. space is at every single point in space. that's so simple it's a tautology. when you're not thinking in terms of particles, it is in multiple places at once.
why is it so hard to understand that higher dimensional things don't behave as we'd expect in lower dimensions? that's a pretty basic part of science.
Okay, that was pretty hard to read, but I'll roll with it.
So, space is one, higher-dimensional entity that occupies all of space. So, how is it infinitely accelerating? If this big entity occupies all of space, then it should still not have any area in which to accelerate.
this is advanced, it's not going to be easy to understand. everything requires a little thought to learn.
space exists in more than one place at any one time. as it is not in more than one place, it is one entity that exists in multiple points in space instantaneously. we simply apply the calculations i have given multiple times to deduce the speed (and by a similar process, the acceleration) is infinite.
it is accelerating within itself, not beyond itself. don't try to visualize, higher dimensional things are impossible to visualize. trust simple math.
"Higher dimensional things are impossible to visualise"?
Say I draw 3 lines on one sheet of paper, to represent these 'distances'. Line 2 and 3 are double the distance apart that 1 and 2 are.
Now, let's do this 'test' again - start the clock and you'll see that it takes zero time for the distance to be covered, because the points are already there. Then, the second distance - exactly the same principle, the distance is covered in zero time, because the points have already been placed. The piece of paper is one entity, the acceleration is infinite in the paper as well because an infinite number of points can be placed within this sheet of paper to also represent infinite acceleration.
Whoo, just visualised it. I must be a higher-dimensional being