The concept of extracting the quantum mass from the classical mass is not a commonly discussed or recognized process in physics. In standard physics frameworks, such as classical mechanics and quantum mechanics, mass is considered a fundamental property of an object that remains the same regardless of the framework being used.
In classical mechanics, mass is defined as a measure of an object's inertia and is typically determined through experimental measurements or theoretical calculations based on the object's density and volume. These classical mass values are used in various equations to describe the behavior of objects at macroscopic scales.
On the other hand, quantum mechanics deals with the behavior of particles at the microscopic level, where wave-particle duality and quantum uncertainties come into play. In this framework, mass is still considered a fundamental property, but the behavior of particles is described by wavefunctions and probabilities rather than classical trajectories.
In the context of quantum mechanics, the mass of a particle is typically determined through experimental measurements, such as particle accelerators or spectroscopic techniques. These measurements provide information about the particle's properties, including its mass. Quantum mechanics doesn't involve an explicit extraction of mass from classical mass since the two frameworks describe different aspects of the physical world.
It's worth noting that there are ongoing efforts in theoretical physics to reconcile quantum mechanics and general relativity into a more comprehensive theory of quantum gravity. In such theories, there might be discussions about the quantum nature of mass, but these are highly speculative and still an active area of research. However, at present, there is no established procedure for extracting the quantum mass from the classical mass in mainstream physics.