Quantum Mechanics Is A Purely Phenomenological Theory¶
The single most important thing to know about quantum mechanics is the title of this chapter. If you forget everything else I say, remember this. Quantum mechanics is a purely phenomenological theory.
What does that mean? Simply that it is a set of rules for predicting the outcomes of experiments and nothing more. It begins from a set of postulates that it makes no attempt to justify. It does not explain why these particular rules happen to work. It does not tell you “what is really going on.” It simply says, “If you want to predict an experiment, write down these equations, solve for these quantities, and apply this rule to produce a prediction based on them.”
It is critical to understand how fundamentally different quantum mechanics is in this respect from many other theories. It literally has a postulate that states, “When you perform a measurement, the probability of obtaining a particular result is given by…” Classical mechanics has no postulate that explicitly refers to what happens when you “perform a measurement”. Neither does relativity, nor classical electrodynamics. All of these theories take it for granted that of course measuring devices follow the same physical laws as everything else in the world. That is the point, after all. If you understand the laws that everything in the world obeys, you can use that knowledge to design a device for measuring whatever you are interested in.
Quantum mechanics is different. Its postulates do explicitly refer to performing measurements. It has special rules to predict what happens when you perform a measurement, rules that are different from the ones that apply to everything else. This has led some people to claim there is something magical about the act of “performing a measurement”, or that human observers are somehow fundamentally different from anything else in the universe. See Schrödinger’s poor abused cat.
There is nothing to justify this claim. What it actually means is simply that quantum mechanics is a purely phenomenological theory. It is a set of rules for predicting experiments and nothing more. It offers no explanation for why those rules happen to work. Their only justification is that they have been empirically found to produce accurate predictions.
We should be very cautious about reading too much into those rules. For example, some people assume the wavefunction must directly correspond to an actual physical object, or to use the technical term, to a part of “ontological reality.” It is certainly possible they are correct, but it is equally possible the wavefunction is merely a mathematical abstraction, a tool for representing probability distributions. Scientific questions must ultimately be decided by evidence. Until we have convincing evidence one way or the other, we must reserve judgement and avoid making unfounded assumptions. They lead to confusion and misunderstanding.