Theoretically speaking, is it possible to cut an object in half infinite times?

this question popped in my head today and at first i thought of it in a mathematical way and the answer was ';yes';, but if u think about it in a physics way, i dont think its possible. what do u think?Theoretically speaking, is it possible to cut an object in half infinite times?
If you take a ordinary paper weighing about 1 gram, and start cutting it in half, you will reach the size of an atom by the time you cut the paper in half about 80 times. After that you can not go very much farther. I think dividing 100 times, itself is beyond the limits of matter (as we understand today).


So the answer is NO.Theoretically speaking, is it possible to cut an object in half infinite times?
based on the current physics models no. if it an actual physical specimen, there are limits on minimum sizes based on the size of the smallest known particles. I guess we would be talking about muons or neutrinos. when you get down to these single charged particles, you can't split any further.
sure. even after you get to the atoms, you can still cut a proton in half then cut that in half etc. i don't see why not.

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