lifegazer said:
It doesn't matter what this particle is - the importance of the argument is to isolate an absolutely singular entity.
Well, here's your first problem: After a certain point, it wouldn't be correct to call the think you're dividing a "particle" anymore. That term would be too simplistic and inaccurate for what you would end up with (even before it became necessarily "indivisible", if ever).
Some might object: "What happens if all objects are infinitely divisible?"
The simple answer to that is that if this is the case, then no singular finite objects actually exist in reality.
Maybe I missed the explanation, but whaaaaa....?
How does infinitely divisible objects lead to the conclusion that there are no singular finite objects? Or maybe a better question is, what are you defining as "singular finite objects"?
Space and time are what are reported to exist between singular entities (thus separating those entities).
Here's your second problem. Spacetime isn't
just what exists between objects. Objects exist in spacetime. That is, there is also spacetime were objects are currently at as well as between them and other objects. Again, a rather simplistic and inaccurate take.
However, even if this view were correct, all one could say is that there is no spacetime at the indivisible objects, not that there is no spacetime. To make that argument, you would have to try to argue that there is only one indivisible object and that can hardly be the case since all macroscopic objects are divisible, meaning they are made of many divisible objects.
But neither space nor time can separate something that is reported as absolutely-indivisible.
Consequently, an absolutely-indivisible entity must, IN itself, be spaceless and timeless.
This, of course, is made double-moot given the poor understanding of both "indivisible objects" and "spacetime".
You must now see where this is going: If an absolutely singular entity is spaceless and timeless in itself, then those entities are not 4-dimensional in themselves.
I don't see how it follows, but it is moot as absolutely indivisible entities are not spaceless or timeless.
You really should avoid attempting these physical arguments until you learn more about physics. You're just no good at them.
edited for spelling