B Single Classical-Quantum Physics of Everything?

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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)?
 
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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!
 
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.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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