(See Part 1, Part 2, and Part 3. Also I am going to suspend the limit of three comments per post for this series of posts because it is a topic that benefits from back and forth discussions.)
Even if we decide to treat the microscopic and macroscopic worlds as separate and governed by different laws, they is one place where the two world collide that we cannot ignore. Recall that we said that in the quantum world, many results do not come into existence until they are measured. Any contact at all of a quantum superposition of states with a macroscopic object, however small, can cause the collapse of the wave function. But in order for it to be useful to us, we need to know what the final result was, and that means we need a measurement involving a measuring device whose results we can see, such as a detector like a fluorescent screen, photometer, bubble chamber, geiger counter, and so on. So when we measure (say) the spin or location of an electron, we unavoidably have an interaction of an object that belongs to the classical world (the detector) with an object that belongs to the quantum world and this leads to what is called the measurement problem.
To understand the measurement problem, recall that we start with a quantum system that is prepared so that a particle (say an electron or photon) is created such that we cannot predict which state (spin up or spin down) it will be found in upon measurement. We describe the wave function of this particle as being in a superposition of two states, one spin up and one spin down. (Such a superposition of states is said to be coherent.) This superposition will continue to exist as long as the particle does not interact with anything that can be considered macroscopic, however small. When it does, the wave function is said to abruptly shift from being in a superposition of the two states to just one of the states. (This process is referred to as decoherence.) We can’t predict with certainty which state it will collapse into but if we know the initial wave function (say because it is a solution of the Schrodinger equation that we are able to obtain), we can predict the probability of collapsing into each one.
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