Wow, what a wonderful book, and one that I’ve been looking for for a really long time. I long suspected that there was no real reason to believe the Copenhagen Interpretation, but one can easily see that just by looking up the fact that there are competing interpretations floating around. However, I also long suspected such things as that there might be interpretations that don’t involve a collapse, and that there was some kind of weirdness afoot with quantum mechanics being deterministic and random at the same time. This book showed me that my suspicions were correct.
There are 2 parts of quantum mechanics, the dynamical equations of motion which are completely deterministic, and the collapse which is probabilistic. Nobody has ever provided any way of determining when this collapse occurs. The problem of doing so is called the measurement problem, and was first elucidated by the great John Von Neumann. As some of you might have suspected, things like the “consciousness causes collapse” idea are completely speculative.
You’ll often hear people, sometime very eminent ones, making statements that the world is essentially random, and that that has been proved by quantum mechanics, which will never be overturned. It is true that most people suspect that we need a theory that makes the same predictions as quantum mechanics does. This suspicion is fueled by a very precise and unfailing accuracy in all of the predictions quantum mechanics has ever been asked to make. (People will probably only start allowing themselves to consider looking for theories that make different predictions if quantum mechanics starts making erroneous predictions, and nobody expects that to happen.) However, there are interpretations of quantum mechanics that don’t involve a collapse of the wave function, and there are other complete theories that make the same predictions as quantum mechanics, notably Bohm’s theory. These theories, because they only rely on the dynamical equations of motion of quantum mechanics, are completely deterministic.
One thing that everyone needs to know is that the Many Worlds interpretation has very serious problems. Hugh Everett III’s paper did not actually specify the Many Worlds interpretation, the Many Worlds interpretation being just one interpretation of Everett’s paper. It could also be read in such a way as to suggest that the collapse is a delusion that the dynamical laws can be shown mathematically to bring about in us. One of the most damning things about the Many Worlds interpretation is that the separate worlds that are actually generated depend on the basis in which one writes down the universal state vector. And quantum mechanics, like most mathematical theories, is invariant with respect to basis. For example, whether I specify a vector with polar coordinates or Cartesian ones, it’s still the same vector, even though I’m choosing to use two different point-sets to describe it. Nobody has come up with any way of finding some sort of canonical basis which we can use to tell which worlds are actually coming in to being, so to my mind Many Worlds is nonsensical (i.e. not well-defined). Some attempts to figure out how to construct a preferred basis have been made since the publication of this book (1994), but I haven’t evaluated all of them. Most of them have smackings of anthropomorphism, which strikes me as not the best direction to be going. As of 2001, the problem had still not been solved.
Another interesting thing that one can show is that any theory whatsoever that does not involve collapse will not be distinguishable by experiment from any other of the theories that don’t involve collapse. This means that if collapse is ever shown to not happen (and this is difficult but possible and also what I happen to believe), then there are widely varying metaphysical interpretations, each one of which is completely untestable even in principle.
In short, you can’t even begin to understand quantum mechanics until you’ve read this fascinating book.