Single Classical-Quantum Physics of Everything?

[ObjectivelyRational]

How close are physicists to understanding and describing the physics of all things quantum and classical and quantum systems interacting with "classical" systems in a single integrated consistent mathematical framework?

i.e. How far are we from a single integrated formalism that describes classical and quantum dynamics and everything in-between (including all the interactions... some of which are classified as "measurement" now)?

 

[hsdrop]

from what i have read and heard it will still be decades before we have a single integrated formalism
i believe that we still don't have any quantum math for gravity yet!

 

[A. Neumaier]

The framework you ask for is already fully developed. See the following paper and its references:

R. Kapral, Progress in the theory of mixed quantum-classical dynamics, Annu. Rev. Phys. Chem. 57 (2006): 129-157.
http://www.annualreviews.org/doi/full/10.1146/annurev.physchem.57.032905.104702

However, except for the simplest systems, explicit calculations involving macroscopic systems (as needed for the measurement process) are difficult, as always in statistical mechanics.