Can a zero dimensional object exist, even if not in our universe? Why/Why not?

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Can a zero dimensional object exist? If you had the power to create an universe where you can choose its characteristics, is there a way you can create an universe that admits a zero dimensional object? If you were able to create a zero dimensional object, would every zero dimensional object be the same? In a zero dimensional universe, can there be only 1 zero dimensional object? I didn’t understand the concept of zero dimension really so these might be really dumb questions, I only know that a zero dimension point is just a mathematical concept, but I want to know if there could be something else

In: Mathematics

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Anonymous 0 Comments

In physics this is called a singularity. We can model that under gravitational collapse you end up with one. It has neither height nor width but just a point with mass, angular momentum, and charge. Under these models there would be one at the centre of every black hole, but again they’re just models and we can’t actually know if they exist because they are beyond the event horizon which we can’t extract any information from and there could be new physics or exotic matter that prevents them.

In purer maths it’s called an infinitesimal. Calculus kinda got rid of the need for them in calculations, but they could still have their uses someday.

A universe that was just a singularity would be no different than the singularity as modelled by by that in a black hole, except it’s unclear how it could gain/lose mass, charge, and spin. If it couldn’t and didn’t start with any it basically wouldn’t be anything I guess is the best way to put it. No different than nothingness.

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