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Does superpostion imply many worlds? 
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#1
Dec2512, 04:06 PM

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The fact that objects exist in superpostion which means they exist in multiple postions(proven fact), doesnt this automatically imply many worlds?
ignoring collapse interpretations, can there be any single world interpretations of quantum superpostion? 


#2
Dec2512, 04:41 PM

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The "superposition" in question is of statistics not the object itself.



#3
Dec2512, 05:32 PM

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#4
Dec2512, 05:50 PM

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Does superpostion imply many worlds?
The same way any statistics show physical effects.



#5
Dec2512, 05:51 PM

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I would question that superposition is of statistics. Each individual system is in a superposition.
No  superposition does not imply manyworlds. 


#6
Dec2512, 06:10 PM

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What is the superposition discussed a superposition of if not of the wavefunctions  distributions of probability amplitudes which is to say of a statistical construct?
I have been a bit glib though. For more detail see: http://vega.org.uk/video/subseries/8 I'm intregued though  how would you, then, support the conclusion that "superposition does not imply many worlds"? 


#7
Dec2512, 06:33 PM

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Perhaps we shuld be more careful  there are, after all, three distinct questions here:
1. does superpostion imply many worlds? Certainly quantum superposition and interference effects are part of the motivation of the Many Worlds interpretation of QM  so the one can be said to imply the other ... however, see 3 below, ManyWorlds is not the only interpretation as any reading of course materials will quickly show. 2. The fact that objects exist in superpostion which means they exist in multiple positions (proven fact), doesnt this automatically imply many worlds? It is not clear what is meant by "objects ... exist in multiple positions"  does this mean at the same time? Perhaps an example of what is meant would be useful here? The superposition in question is of position wavefunctions  these are distributions of probability amplitudes related to the probability that a particle is in a number of positions rather than the actual position of the particle. 3. ignoring collapse interpretations, can there be any single world interpretations of quantum superpostion? Well ... if we ignore alternative interpretations, we are left with Many Worlds  yes. I don't think this is what was intended though. I think there is a basic misunderstanding here which StevieTNZ has touch upon: the math is not the object. When we say "a particle is in state Y" we mean that the things we are interested in about it are described by statevector Y. Any state vector can be described as a superposition of other vectors. We choose the particular representation to suit the math we want to do  we could choose a representation in which the particle is in a pure state rather than a superposition. In which case, the same argument implies a "single world" event. 


#8
Dec2512, 10:01 PM

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We can also utilize ManyMinds instead of ManyWorlds.
By superposition, I interpret that to be potential ("classical) states rather than an actual state existing in all three physical configurations (e.g. three different positions) at one time ("classically"). 


#9
Dec2612, 02:57 AM

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Many worlds interpretation may be summarized in a simple statement: linear equations of quantum mechanics rule the macroscopic world. 


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