The most widely accepted interpretation of quantum phenomena
was first articulated by Bohr. It is most succinctly understood
as the implications of a number of axioms:
1) For every physical system there is a corresponding
mathematical object called a state vector that has
no objective physical existence.
This state vector is the most complete source of
information that exists concerning the physical system.
2) The outcome of any measurement on a physical system
can be predicted by performing a specific mathematical
operation on its state vector.
3) The outcome of any measurement process on
a physical system can only be predicted as a probability
for obtaining that result.
4) Once a measurement is made the state vector assumes
a state such that the same measurement immediately
reapplied to this state has 100% probability of achieving
the previous measured result.
5) The state vector evolves in time according to a continuous,
deterministic formula except when a measurement occurs and
then it jumps to the state described in 4) above.
These axioms are all about mathematical manipulation of
mathematical objects and are not a vision of physical reality;
in fact the first axiom explicitly states that the mathematical
objects of the theory have no physical embodiment.
Until now no one has found an explanation of quantum phenomena
consistent with the every day world we experience.
Quantum Darwinism is such a theory and attempts to explain
the mechanisms responsible for transforming quantum reality
from its weird abstract mathematical realm into the common sense
classical reality experienced in our every day lives.
Pure mathematics and physics are becoming ever more closely
connected, though their methods remain different.
One may describe the situation by saying that the mathematician
plays a game in which he himself invents the rules while the while
the physicist plays a game in which the rules are provided by Nature,
but as time goes on it becomes increasingly evident that the rules
which the mathematician finds interesting are the same as those
which Nature has chosen. …
Possibly, the two subjects will ultimately unify, every branch
of pure mathematics then having its physical application,
its importance in physics being proportional to its interest in mathematics.
/ — Paul A. M. Dirac /
Last edited by socratus; Dec 21st, 2018 at 02:02 AM..