Is the wave function/packet an actual property

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Discussion Overview

The discussion centers around the nature of the wave function in quantum mechanics, questioning whether it represents an actual property of particles or is merely a statistical tool for predicting outcomes. Participants also explore the implications of wave functions for macro objects and the existence of space-time in quantum mechanics compared to classical physics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that the wave function is a property of nature, akin to the probabilities associated with a dice, while others challenge this view, suggesting that the concept of a property does not imply a limit to its existence.
  • There is a question regarding whether space and time exist in quantum mechanics, with some asserting that they do, while others imply that this is not straightforward.
  • Participants express uncertainty about the implications of wave packets and superpositions for macro objects, with one participant stating that superpositions are not subject to classical physical space or distance.
  • Concerns are raised about the nature of wave functions, with questions about whether they can be infinite and discussions about their mathematical representation and physical realizability.
  • Some participants mention the PBR theorem and its assumptions, noting that interpretations of quantum mechanics can vary significantly, particularly regarding whether the quantum state is a real physical state or merely a predictive tool.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the wave function is an actual property or a statistical calculation. Multiple competing views remain regarding the implications of wave functions for macro objects and the existence of space-time in quantum mechanics.

Contextual Notes

Some limitations in the discussion include the dependence on interpretations of quantum mechanics, the assumptions underlying the PBR theorem, and the unresolved nature of the relationship between wave functions and classical physical properties.

batmanandjoker
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Or is it a statistical calculation of where the particle could possibly be. If its a property of nature then it must have a limit, distance at which it seaces to exist. Also a second question does space time exist in QM and if it doesent then why does it exist in the classical world which it does exist doesent it? I am asking this because the wave functions/ superposition of macro objects is infentismly small but what I want to know is the wave packet/superposition of macro objects subject to classical physical space/distance?

Any help would be greatly appreciated sorry for the spelling my spell check doesent work.
 
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Of course its a property, just like the probabilities of a dice is a property of the dice assoicated with each face.

Your assumption 'If its a property of nature then it must have a limit, distance at which it seaces to exist' does not follow from 'property'

Of course space and time exist.

I suspect you are still not quite up to speed on what a superposition is - its simply the vector space property of the funny kind of probability QM uses.

Rock bottom, from the formalism alone, QM is simply a generalized probability model. Its the simplest such model that allows continuous transformation between so called pure states, or, equivalently allows entanglement, again without going into the technical detail of the words I have bandied about, or even exactly what they mean. The meaning of QM is another matter - that requires an interpretation. It's like when you throw a dice - probability theory doesn't tell us which face will come up - nor even why a face comes up - its silent about that.

Thanks
Bill
 
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but what I want to know is the wave packet/superposition of macro objects subject to classical physical space/distance?
 
batmanandjoker said:
but what I want to know is the wave packet/superposition of macro objects subject to classical physical space/distance?

I think we have been through that before.

Superposition is not subject to such. In principle the position a particle that is in a superposition of position can be observed anywhere the wave-function says it has a probability of being - and there is no restriction on that.

Thanks
Bill
 
But is the wave function infinite? Because people talk about bigger and smaller wave functions.
 
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Batmanandjoker, see
https://www.physicsforums.com/blog.php?b=4330
 
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batmanandjoker said:
But is the wave function infinite? Because people talk about bigger and smaller wave functions.

Of course it can't be infinite - nothing physically realizable can be.

It is however, for mathematical convenience, is sometimes approximated by a function of infinite extent.

I haven't heard anyone talk of bigger and smaller wave functions. But if they did I would assume a big wavefunction is one where the probability of finding a particle is very high in a small region - and small where it isn't.

Thanks
Bill
 
Demystifier said:
Batmanandjoker, see
https://www.physicsforums.com/blog.php?b=4330

Just a note to the OP.

This concerns the PBR theorem, which is quite important, and deserves all the praise it has garnered.

But to forestall unnecessary confusion I believe its important to know from the outset one of its assumptions:
http://xxx.lanl.gov/pdf/1111.3328v3.pdf
'The argument depends on few assumptions. One is that a system has a real physical state not necessarily completely described by quantum theory, but objective and independent of the observer. This assumption only needs to hold for systems that are isolated, and not entangled with other systems. Nonetheless, this assumption, or some part of it, would be denied by instrumentalist approaches to quantum theory, wherein the quantum state is merely a calculation tool for making predictions concerning macroscopic measurement outcomes.'

Many bare bones interpretations such as the statistical and most versions of Copenhagehn do just that - have the state as 'merely a calculation tool for making predictions concerning macroscopic measurement outcomes'. This is also the interpretation people mean when they talk about the formalism by itself with little or no interpretive assumptions.

When I talk about QM, unless I say otherwise, its what I mean, so really PBR doesn't apply to my comments.

Thanks
Bill
 
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