An Electron's Position In Orbit

All of science is inherently probabilistic, and yet quantum physics is often consistently treated as if it is the only subcategory of science in which exact causes and future events are unknown.  The behaviors of electrons are included in this fog of scientific probabilism, the location of an electron in orbit around a nucleus being of particular interest.  If an electron's position cannot be truly pinpointed, is it possible to determine what radius it must be in?

Hypothetically, an electron orbiting a nucleus could be as far as miles away from the protons and neutrons of its respective nucleus.  If its exact location cannot be pinpointed, then one cannot rule out any particular spot.  Though it might initially seem ludicrous to say that an atom's electrons could be so distant from its core, it is a logical fact that it is possible for such a thing to be true.  Moreover, this is entirely consistent with the electron cloud model of the atom.

The electron cloud model, the model that enjoys popularity today, holds that the specific location of an electron cannot be determined even though some locations are more evidentially probable than others.  It does not follow that electrons are therefore in multiple places at once as some claim, even though such a thing is logically possible, for ignorance of something's location does not mean it is holding two or more spatial positions at once.  It only means that the position of an electron in orbit is ultimately unknown.

Some aspects of the current models of quantum physics involve greater uncertainty than others, but one can at least prove that an unobserved electron genuinely could be anywhere in the physical cosmos, even if the probability decreases as the distance increases.  Epistemologically speaking, even the very existence of atoms is uncertain [1] thanks to the probabilistic nature of all scientific evidence--logic cannot prove that all matter breaks down into a consistent class of particles.  Nonetheless, predicting the location of an electron is not anything more than an exercise in probability.


[1].  https://thechristianrationalist.blogspot.com/2019/04/the-existence-of-atoms.html