There is no such thing as an infinitely large circle, or any other fixed shape. If it has a outer limit defining its shape, it is obviously not limitless, “infinite”.
Okay first of all, a universe does not need to be a circle for it to rotate or have a centerpoint of rotation.
Second of all, it is theoretically possible to have an infinitely large circle, it is just incomprehensible to our consciousness at any given moment in time, because it takes an infinite of time to witness it.
What you mean to say is, an infinitely large circle is not infinitely infinite, since it is bounded in some way and not an infinite volume. Thus, in relation to an infinite 2d square, an infinite circle is infinite*0.785.
It doesn’t matter whether it is a circle. Anything “infinitely large” has no shape, period.
It is logically impossible to have an infinite circle in the same way that it is logically impossible to have a square-circle. It is not a matter of imagination or concurrent comprehension, other than the obvious logic involved.
And btw, limitless * 0.785 is still without limit, and thus without form.
I don’t think you are thinking of infiniti in the right way.
Infiniti can have constraints.
For instance, an infinitely long line is still infinite, even though it is lacking in other dimensions, and is thus constrained to one dimension.
Ironically, your video actually proves my point, as anyone who’s not a dinosaur can see. Electrons are not “tiny bits of matter”. It’s only measurement or, in other words, observation (your video actually identifies the two) which makes electrons behave, or seem, as such bits.
Another mistake the video makes is in presenting measurement/observation as a Platonic activity, immaculate perception, a pure eye just “being open” to the electrons. It fails to point out that such observation actually requires light to be reflected off of the electrons.
I said, as we have been meaning, “infinitely large”, meaning unlimited in all directions. What other parameters are involved (color, density, whatever)is irrelevant.
Infinity is an abstraction that can never be percieved, thus I don’t see how it’s a stretch to say that there could be infinitely large shapes.
The only way we can percieve infiniti is the sense of temporal infinity, something that never reaches an end, and you could have a circle where the end is always getting away from you no matter how far you travel, the end is never reached.
Second of all infinite does not mean unlimited in all directions, there could be an infinite shape which is infinitely large, but has a clear starting point, for instance at 0,0, there is nothing behind 0,0.
It doesn’t matter if you can “perceive” it. What matters is that you understand it. “Infinite” means “no boundary or limit”. And without a boundary, there is no shape to be had.
It can have a “starting point”. But it cannot also have an ending point. And it must have both in order to have “shape” or “form” beyond that of merely a line or plane (both void of having all dimensions). We are discussing the universe. By definition, the universe includes ALL dimensions.
