A personal answer on this.
bugatti79 said:
I am just wondering what stage are we at in Quantum mechanics relative to Newtonian mechanics?
If you compare what state are QM are at, within the inferencial framework of theories, with the state of Newtons mechanics withing realist theories then I would say that QM relates to the future like Newtons mechanics did to GR.
Even classical physics is about predictions and measurements, but the difference is that the classical picture of measuremens is that they do not affect the system, they merely serve to "verify the theory". Reality is assme to exists in an objective sense regardless of the exact measurement.
In measurement theory, the focus changes from description what really happens, to actually defining the physics as how a system responds to measurement. Here the measurement becomes an integral part of the physics, unlike realist physics.
Newtons mechanics - SR - GR.
Where Newtons mechanics has is very global static exteernal picture, which is relaxed in SR by introducing equivalence classes of inertial observers, which if further generalized by non-inertial observers in GR, where the realist of Newtons world are infact destroyed partially... SR ang GR says that the observer after all, DOES matter... but realism is still maintained as the observer invariants of equivalence classes of observers.
In measurement theory I think we have
extrinsic measurement theory(QM) - intrinsic measurement theory(??)
QM is a measurement theory, but the observer is external to the system. Just like in the old days when Gauss and Riemann seeked an intrinsic formulation of the old extrinsic euclidian geometry.
A measurement theory, where the observer is inside the system is still lacking! QM as it stands NEEDS an observer to be formulated (this is a background), moreover QM assumes that this observer is classical (an unbounded in information).
In this respect I think QM as it stands to future understanding like say
- extrinsic geometry to intrinsic geometry
- Newtons mechanics to GR
I think we have a long way left.
The fact that QM and QFT works so well still is simple! The simplification that QM needs an external classical observer DOES make sense for most situations! In any particle/accelerator experiment you have the entire laboratory frame as a gigantic classical system observing and absorbing information from experiments that are easily repeated.
The problems where this scheme unavoidable breaks down are in cosmological models (ie where the observer IS inside the system! wheter we like it or not) and also when it comes to understanding unification of forces at high energy when we reach theoretical BH formation.
But taking the parallell to egyptians is I think overstating it :)
/Fredrik