Well, the negative-time solution can be eliminated by using math too—“the theory” was never the equation with two roots—it was the process you used to get the right answer. What I want to know is, can you grok a case where the actual correct theory isn’t physically intuitive, but is correct?
First of all, I disagree that the negative time solution can be removed using math; the math will tell you that the solution is perfectly valid.
Secondly, yes, there are cases like in statistical mechanics or basic QM where the theory isn’t that intuitive, dealing with huge numbers of particles (as in SM) or dealing with position probabilities (as in QM), but where the process makes sense (I can grok it).
But these theories have clear interpretations in terms of observables; SM has a systematic justification in terms of physical intuition (in terms of the preferred configurations being those with the most probability, or something of that nature), and QM develops right from the beginning how the wave-function picture can be seen as a generalization of the classical picture (positions directly become position operators, as with momenta and so on). There’s no such obvious justification for the MWI, in my mind; the linkage between there being many branches of the solution, and there being many universes, is weakly justified at best.
First of all, I disagree that the negative time solution can be removed using math; the math will tell you that the solution is perfectly valid.
But you could, say, write a computer program that gave you the right answer to classical mechanics problems, right? In order to write this program, the knowledge you have that tells you that when you want a length of time, you want a positive number would have be translated into “computer language,” i.e. math.
That is, when I say “you can remove nonsense solutions by using math” I mean “all you have to do is make the theory already contain your knowledge of what’s a nonsense solution.”
Well, the negative-time solution can be eliminated by using math too—“the theory” was never the equation with two roots—it was the process you used to get the right answer. What I want to know is, can you grok a case where the actual correct theory isn’t physically intuitive, but is correct?
First of all, I disagree that the negative time solution can be removed using math; the math will tell you that the solution is perfectly valid.
Secondly, yes, there are cases like in statistical mechanics or basic QM where the theory isn’t that intuitive, dealing with huge numbers of particles (as in SM) or dealing with position probabilities (as in QM), but where the process makes sense (I can grok it).
But these theories have clear interpretations in terms of observables; SM has a systematic justification in terms of physical intuition (in terms of the preferred configurations being those with the most probability, or something of that nature), and QM develops right from the beginning how the wave-function picture can be seen as a generalization of the classical picture (positions directly become position operators, as with momenta and so on). There’s no such obvious justification for the MWI, in my mind; the linkage between there being many branches of the solution, and there being many universes, is weakly justified at best.
But you could, say, write a computer program that gave you the right answer to classical mechanics problems, right? In order to write this program, the knowledge you have that tells you that when you want a length of time, you want a positive number would have be translated into “computer language,” i.e. math.
That is, when I say “you can remove nonsense solutions by using math” I mean “all you have to do is make the theory already contain your knowledge of what’s a nonsense solution.”