As I understand Quantum Mechanics randomness is part of a mathematical
model. The QM model as with all mathematical models is an idealisation.
The idealisation includes a mathematically defined concept which we call
Now, randomness is a good model for all sorts of things, from the lottery,
to the toss of a dice, to the way genetics operates, to... However, we
know that randomness is only an idealisation of many of these things. If I
knew all the initial details and the forces applied to spin the coin into
the air, and could do the sums fast enough I could predict the toss of a
coin with accuracy. It's a matter of mechanics. The idealisation of
randomness is a vital mathematical tool in this case, but it is not real.
Theoreticians will be well aware of the debate between idealism and realism
in a number of areas of mathematical modelling. It underlies the
discussion between Hawking and some of his colleagues in astrophysics
surrounding his use of imaginary time in solving the equations to do with
the Big Bang. He has suggested tha this idealisation can be adopted as
reality and that the universe can therefore be said to have no beginning.
It seems to me that the Matter in Random Motion hypothesis depends upon
accepting that the randomness in QM is more than an idealisation, that real
randomness is present. How could that be proved, and by what mechanisms
could true randomness be produced?