What is the definition of point in Physics? You can reduce the radius upto a Planck's distance which is non-zero. What is your new definition? That is with Planck's radius. What is your invention? I think calculus is sufficient to deal with infinitesimals. Planck's distance is finite and not infinitesimal. So, where is the paradox? Planck's units are already well defined. They are always positive and definite. That is infinitesimal but not possible in Physics. Zero is a number and not an object. How it(zero) can have a dimension? Does the number 1(one) have any dimension? What is your proof? It may not be correct.