| > the original particle is still, in actuality, in a superposition of up and down states If you cannot say that the particle is in a well defined up or down state after the measurement then you cannot say either that it remains in a superposition of up and down states. Because that original state was the result of a previous measurement. You cannot even say that the particle (or you, for that matter) does actually exist. The universe is a superposition of states where it does and states where it doesn't. (Does the universe exist at all?) The standard interpretation of QM: - we want to explain the physical world that we experience - we come up with a theory based on a mathematical description of physical states and the equation describing its evolution - the theory allows for superpositions of states, incompatible with the physical world where we observe only definite states - why do we observe only definite states? - we postulate that when we measure the wave function changes becomes and becomes consistent with the observation - we also postulate the Born rule to compute the probability of observing each potential outcome - everything is experimentally verified, there are open questions (what is a "measurement"?) but the theory works fine in practice - we know that this is not a complete description of the world (gravity!) The Everett interpretation: - let's assume that the physical world that we experience is just one aspect of a larger, out-of-reach thing - what is real is the mathematical description (nevermind that it's incomplete), evolving according to the Schroedinger equation - why do we observe only definite states? - because this is the way our brains experience the physical world! (see how easily we solved the issue with measurement?) - what is the probability of observing each outcome? - ... (but, hey, did you notice how elegantly did we skipped, I mean, solved the measurement problem?) - we have a collapse-free interpretation of QM! (but remember that if you want to study the physical world that we experience you have to use the projection postulate, because this is the way our brains experience the physical world) I find interesting that the MWI is so popular among cosmologist, given that QM doesn't handle cosmological issues well. But of course this interpretation "solves" the problem of why the observed universe is precisely the one that we observe. Everett's theory is interesting, but not a panacea. Maybe decoherence is the key to explaining "collapse", maybe gravity is the key, maybe the answer is somewhere else... |