I do believe I know the source of your misunderstanding, which is what I am attempting to address. The abstract concept of the infinite cannot be translated into the real world, you must be able to come up with a finite value for any practical application (or even an observation allowing one to test a theory.)
You are incorrect, that is not the source of my "misunderstanding", and I have explained why several times. Your discussion about arguments makes it sound like you want to be able to object to me without allowing me to object to you. Even if you were a Nobel laureate that would be preposterous (though in that case I would make my objections much more highly refined, for instance discussing them with a third party first).
You are attempting to derive a physical result from something that is unphysical.
The "unphysical" thing I'm discussing is a hypothetical newly discovered physical mechanism. I'm just arguing against that hypothetical discovery. I understand it has not been discovered yet, and my argument provides strong evidence that it will never be discovered. The general form of argument, "X is not physically observed so any argument Y that refers to X is fallacious", is itself flawed. It does not work eg. with the Pauli Exclusion Principle, where certain configurations of quantum particles are not observed and yet many solid arguments are based on the statistics that result.
The note that you are a mathematician is amusing to me, my girlfriend asked me what I was doing the other day, and my reply was "trying to convey a point to someone... probably a math student." If the student part is incorrect I apologize, but that comes from the constant arguments along the lines of "other guy is an idiot... who eats babies." This is not something you see often from those older than about 25, as it usually hurts your case more than helping it, and that is around the point by which most people will understand this.
You are correct. Especially in rereading my earlier points, my emotional tone very much hurt my case more than helping it--though I stand by the content of everything I said, the style I said it in was off-putting. I know I am correct in general, and I know that it does not come across that way, especially to the uninitiated, which most of the mods are. That explains why they chose you over me. In my view, you have not addressed my points (or understood many of them, I suppose?) while I have been able to understand and address all of yours to my satisfaction. I'm not sure what more to say. Good luck to you.