>>Do you make the same demands of the atomic theory of matter?
Atomic experiments are repeatable, one of the basic proofs of Science is performing experiments to confirm a hypothesis by independent scientists.
For in introduction to the scientific method, see: http://teacher.pas.rochester.edu/phy_labs/AppendixE/AppendixE.html
IMHO: It is ignorant for anyone to insist that a theory be accepted as fact without being able to reproduce it, regardless of what alternative is being presented.