
a couple of weeks ago I made a sweeping statement that there has been little of value added to ‘western’ philosophy since plato apart from quantum mechanics.
I 'm not backing off from the statement. there have been developments in classical philosophy, but little: newton and Descartes notwithstanding.
but quantum mechanics is a radical new departure----the science of ‘physics’ is now categorised between quantum and everything else. (everything else being classical which in terms of physics as we understand it kinda begins with democritus and the atomists.)
Newtonian mechanics (F=ma), classical electrodynamics (Maxwell’s equation) and even einstein’s relativity is classical physics. research in classical physics is alive and well though the integration of it with quantum mechanics is producing whole new fields such as field theory and quantum electrodynamics..
so...what makes q.m. so different? and what is it?
there is no disagreement about the mathematics of q.m. as a theory for predicting the behaviour of particles.. there is however controversy about what kind of a world it describes. ie.. how it effects the world that is described in terms of classical mechanics.
many phenomenons cannot be explained in terms of classical theory which loses the plot when dealing with matter on subatomic levels. it is like a system that has broken down and needs a new framework altogether. a new foundation.
the heart and soul of q.m. is contained in the Hilbert spaces that represent the state-space of quantum mechanical systems. (state-space of a system is the space formed by the set of its possible states.. ie the physically possible ways of combining the values of quantities that characterize it internally.)
its most dramatic defining feature is probabilistic theory. (possibilities)
q.m. has 4 basic principles.
1. physical states.. every system is associated with a Hilbert space.
2. physical quantities. .. hermitian operators in a Hilbert space associated with any system represent physical quantities…
3. composition.. the Hilbert space associated with a complex system is the tensor product of those associated with the simple systems. (individual particles) of which it is composed.
4. dynamics.. Schrodingers equation that gives the state of a system at any time when the state and the forces upon it are known… at point ‘t’ . the progression to another state is a matter of probability given by Born’s rule..
it is not about forces and masses and acceleration as understood in ‘normal’ language. it is on another level with its own terminology. physics has changed gears. mathematically it has a richer structure of relations in its vectors and the operators that represent them. its fundamental postulates are different as the fundamental postulates of classical theory break down.. the theory of the atom as a unit of fundamental unresolvable matter has broken down..we gotta shift on and grasp the shift or sink with the classical model.…. democritus R.I.P.
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