On 21 Apr., 12:22, netzweltler <reinhard_fisc...@arcor.de> wrote: > On 21 Apr., 11:07, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > > > On 21 Apr., 10:02, netzweltler <reinhard_fisc...@arcor.de> wrote: > > > > On 20 Apr., 19:03, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > All atoms of the accessible universe and all positions they can take > > > > belong to a finite set. > > > > How do we prove, that the number of possible positions an atom can > > > take along a line of 1 cm is finite? > > > By accepting quantum mechanics and excluding theology (these > > assumptions taken as axioms for those who believe (as an axiom) to > > need axioms) a proof is given here:http://arxiv.org/ftp/arxiv/papers/0709/0709.4102.pdf > > pages 2-3. > > > Regards, WM > > What about a position between two quanta? Should there be no decimal > fraction for a position between two adjacent quanta along this line of > 1 cm?-
Quantum theory tells us, contrary to Einsteins's false beliefs, that unmeasurable events do not exist. The electron or photon does not simultaneously have fixed position and momentum (that would contradict some results of interference experiments).
Mathematics, contrary to Einstein's false beliefs, is nothing but a condensation of reality. This should answer your question.
Nobody can hinder you to believe in things that nobody can say, think, identify, measure. But that is not science. It is theology or superstition, or, in the worst case, matheology. I say "worst case" because many naive people believe that matheology is a science run by intelligent proponents.