Minimal no collapse interpretation

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Discussion Overview

The discussion revolves around the minimal no-collapse interpretation of quantum mechanics, specifically exploring the concept of entanglement and its implications for classical behavior and the appearance of wave function collapse. Participants examine the adequacy of this interpretation compared to others, as well as the relationship between entanglement, degrees of freedom, and entropy.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant proposes a summary of the minimal no-collapse interpretation, suggesting that entanglement constrains degrees of freedom and leads to classical behavior while maintaining superposition.
  • Another participant requests clarification on the concept of entanglement constraining degrees of freedom.
  • A third participant draws an analogy between ink dispersing in water and entropy, linking higher entropy to higher degrees of freedom and suggesting that maximally entangled particles correspond to maximal entropy.
  • One participant critiques the initial summary, suggesting that understanding the mathematical framework is essential and referencing an ensemble or ignorance interpretation that explains apparent collapse.
  • Another participant expresses uncertainty about the determination of the prominent state when superposition becomes too small to observe, indicating ongoing learning about pointer states and objectification.
  • The initial poster reiterates their summary and emphasizes the need to consider how interpretations of quantum mechanics address the EPR paradox and the nature of wave function collapse.

Areas of Agreement / Disagreement

Participants express differing views on the adequacy of the minimal no-collapse interpretation, with some favoring the idea of an appearance of collapse while others lean towards a belief in physical collapse or decoherence. The discussion remains unresolved regarding the implications of entanglement and the nature of wave function collapse.

Contextual Notes

Participants note the complexity of the concepts involved, including the mathematical underpinnings of interpretations and the relationship between entanglement, degrees of freedom, and entropy, which may not be fully articulated or agreed upon.

meBigGuy
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Is this a proper summary of a minimal-no-collapse interpretation? (I like to call it the fuzzy world interpretation, but I suppose I'm the only one)

When objects entangle, it constrains their degrees of freedom. As they entangle with more and more objects, their degrees of freedom are limited more and more. This results in the appearance of what we call classical behavior. But there is still superposition and fuzziness, just too small to observe. This provides the appearance of collapse. It is all driven by the principle that all entangled entities must correlate.

Assuming I'm not too far off (but I may be), what about this interpretation is considered inadequate, and is supplied (not simply undefined) by other interpretations.

Be gentle :)
 
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I don't know what you mean by "When objects entangle, it constrains their degrees of freedom". Could you elaborate on this?
 
Dop a drop of ink in a glass of water. At the beginning ink is in a small volume (small dof)
then entropy grows (greater volume, greater dof)
So higher entropy is associated to higher degrees of freedom.
Maximally entangled particles are associated to a maximal entropy
 
What I said is way too mushy. Let me think a bit more.
 
meBigGuy said:
Is this a proper summary of a minimal-no-collapse interpretation? (I like to call it the fuzzy world interpretation, but I suppose I'm the only one)

When objects entangle, it constrains their degrees of freedom. As they entangle with more and more objects, their degrees of freedom are limited more and more. This results in the appearance of what we call classical behavior. But there is still superposition and fuzziness, just too small to observe. This provides the appearance of collapse. It is all driven by the principle that all entangled entities must correlate.

Assuming I'm not too far off (but I may be), what about this interpretation is considered inadequate, and is supplied (not simply undefined) by other interpretations.

Be gentle :)

Interpretations of quantum mechanics tend to differ on how they describe what's actually going on when a wave function appears to collapse and how they deal with the EPR paradox.

You seem to lean towards a belief in physical collapse, but really you're just describing decoherence. When the superposition becomes too small to observe how do you think the prominent state is determined?

You should look at the EPR paradox too and decide how you think that should be resolved.
 
craigi said:
When the superposition becomes too small to observe how do you think the prominent state is determined?

I'm stuck on that at the moment. (The derivation of pointer states, and objectification through redundancy). (not stuck so much as still learning. That's the mushy part of what I originally posted)

As for favoring collapse, I have a problem with "collapse" (discontinuities) , but I'm inconsistent in expressing it. I definitely favor "appearance of collapse", and am slowly progressing in understanding it.
 

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