
"The more science tells us about the world, the stranger it looks. Ever since physics first penetrated the atom, early in this century, what it found there has stood as a radical and unanswered challenge to many of our most cherished conceptions of nature. It has literally been called into question since then whether or not there are always objective matters of fact about the whereabouts of subatomic particles, or about the locations of tables and chairs, or even about the very contents of our thoughts. A new kind of uncertainty has become a principle of science." "This book is an original and provocative investigation of that challenge, as well as a novel attempt at writing about science in a style that is simultaneously elementary and deep. It is a lucid and self-contained introduction to the foundations of quantum mechanics, accessible to anyone with a high school mathematics education, and at the same time a rigorous discussion of the most important recent advances in our understanding of that subject, some of which are due to the author himself." "For Albert, the problem of measurement is the central problem of quantum mechanics, and he devotes particular attention to various attempts to solve it - including theories of the collapse of the wave function, hidden-variable theories, and multiple-universe theories.
I especially like 'Quantum Mechanics and Experience' by David Z Albert (he's got a very peculiar style of writing that I enjoy), and 'Quantum Non-Locality and Relativity' by Tim Maudlin.
Not easy reading, but manageable if you have a physics degree.
David Z. Albert, "Quantum Mechanics and Experience"
Tim Maudlin, "Philosophy of Science: Quantum Mechanics" (Space and Time is also a good read.)
But I'm actually contemplating writing a book of my own because I think there's still a pretty significant gap insofar as none of these books get into quantum information theory at all, which I think is crucial to having a really solid understanding.
Another really good book is this one:
https://www.amazon.com/Quantum-Challenge-Foundations-Mechani...
though it's a tad pricey, but it's actually a really good mix of technical and historical content because it describes the experiments that were done to show that the many unintuitive predictions of QM are actually true.
http://www.flownet.com/ron/QM.pdf
(Or the movie version: https://www.youtube.com/watch?v=dEaecUuEqfc )
(These are now a wee bit dated, but still defensible.)
For something written by an actual physicist I recommend anything by Tim Maudlin (he's a Bohmian, but his pedagogy is without peer) or David Z. Alberts, "Quantum Mechanics and Experience."
UPDATE: There's also https://arxiv.org/abs/1204.4616
[1] https://www.feynmanlectures.caltech.edu/
[2] https://www.amazon.com/Feynman-Lectures-Physics-boxed-set/dp...
[3] https://ocw.mit.edu/courses/physics/8-04-quantum-physics-i-s...
[4] https://www.amazon.com/gp/product/0674741137/ref=ppx_yo_dt_b...
1. In order to account for the outcome of Bell-type experiments on entangled particles it has to assign a temporal ordering to space-like separated events. The technical term for this is that you have to choose a "preferred foliation of space-time". There has to be a preferred reference frame. But you can never actually know what the preferred reference frame actually is.
2. Yes, particles "have positions", but you can never actually know what those position are (which is why I put "have positions" in scare quotes). This is where all the quantum randomness hides in Bohmian mechanics. It's all "pre-computed" in the infinite precision of a particle's position, but that position is necessarily hidden from observation. I call this an IPU, an Invisible Pink Unicorn. It's exactly the same thing as universe-weights in MWI -- a set of numbers that are part of the theory but rendered immune from observation not by practical limitations on technology, but by the theory itself.
This is the fundamental problem with all attempts to make quantum mechanics look deterministic. The simple fact of the matter is that it's not deterministic, so any attempt to make it look deterministic that makes the same predictions as QM has to hide the randomness somewhere. Bohm hides it in particle positions, and MWI hides it in universe weights. But it doesn't matter what you call the place in the theory where you've hidden the randomness. What matters is that there is a place in the theory where you've hidden the randomness, where it must forever remain hidden from the prying eyes of experiment. So the claims that both Bohm and MWI make of being deterministic are misleading at best.
The only well-known interpretation of QM that is experimentally indistinguishable--in theory--from MWI is Bohm's Interpretation. And I think it would be a difficult row to hoe that Bohm's Interpretation is simpler than MWI, as Bohm's universe contains the MWI universe as a subset in the form of pilot waves that never collapse. I.e., the only difference between MWI and Bohm is that in Bohm, one of the "worlds" is granted reality, while the others are not.
Of course, there's nothing in MWI that grants all the worlds reality either. Someone can certainly remain agnostic about that. E.g., Stehphen Hawking has said that MWI is obviously true, though he is agnostic on the reality of the other worlds.
For more information on this, including a tutorial on all the linear algebra that you need to understand, see the book Quantum Mechanics and Experience by David Albert.