Arguments against instantaneous collapse

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SUMMARY

The discussion centers on the arguments against the instantaneous collapse hypothesis in quantum mechanics, specifically referencing the linked-cluster theorem and microcausal quantum field theory (QFT). Participants assert that the linked-cluster theorem, which governs the behavior of the Standard Model, prohibits instantaneous collapse due to its implications for locality and causality. The cluster decomposition principle (CDP) is also explored, with participants debating its compatibility with EPR correlations and the implications for the factorization of S-matrix elements in separated experiments. Ultimately, the consensus is that the linked-cluster theorem does not inherently negate instantaneous collapse, as it does not prevent faster-than-light communication.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly the collapse hypothesis.
  • Familiarity with quantum field theory (QFT) and its foundational concepts.
  • Knowledge of the linked-cluster theorem and its implications in particle physics.
  • Insight into the cluster decomposition principle (CDP) and its relation to EPR correlations.
NEXT STEPS
  • Research the implications of the linked-cluster theorem in quantum field theory.
  • Explore the cluster decomposition principle (CDP) in detail, particularly its applications in QFT.
  • Investigate EPR correlations and their significance in the context of quantum mechanics.
  • Study the arguments for and against instantaneous collapse in quantum mechanics literature.
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Physicists, quantum mechanics researchers, and students studying quantum field theory who seek to understand the complexities of collapse hypotheses and their implications in particle physics.

kurt101
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vanhees71 said:
I strongly disagree with the collapse hypothesis.
vanhees71 said:
Since relativistic local and microcausal QFT, the fundamental starting point for the Standard Model of elementary particle physics, obey the linked-cluster theorem, there cannot be any instantaneous collapse, and there is no "spooky action at a distance" as Einstein called it.
Why does microcausal QFT obeying the linked-cluster theorem imply there cannot be any instantaneous collapse? Is this the strongest argument against instantaneous collapse?Is linked-cluster the same concept as cluster decomposition?I found this discussion on cluster decomposition and EPR: https://www.physicsforums.com/threads/cluster-decomposition-and-epr-correlations.409861/Humanino said
The cluster decomposition principle is an interpretation of the factorization of the S matric for separated reaction
From <https://www.physicsforums.com/threa...ion-and-epr-correlations.409861/#post-2773207> Demystifier said:
Indeed, in Sec. 4.3 Weinberg explicitly says:
"It is one of the fundamental principles of physics ... that experiments that are sufficiently separated in space have unrelated results."
...
"... the cluster decomposition principle states that if multi-particle processes ... are studied in N very distant laboratories, then the S-matrix element for the overall process factorizes."

Clearly, these statements formulated as such are incompatible with EPR correlations, and are therefore wrong.
From <https://www.physicsforums.com/threa...ion-and-epr-correlations.409861/#post-2773207> Demystifier also said:
I would summarize and formalize it this way:
CDP says that if
1. the initial state (of spatially separated subsystems) can be factorized
and
2. the subsystems remain spatially separated all the time
then
the final state can also be factorized.

This is a correct form of CDP in QFT. But this is not the form explicitly stated by Weinberg.
From <https://www.physicsforums.com/threa...ion-and-epr-correlations.409861/#post-2773207> Humanino said:
In this situation, once the initial state (half final state of an EPR exp.) has been measured it becomes separated and the CDP applies.
From <https://www.physicsforums.com/threa...ion-and-epr-correlations.409861/#post-2773207> My understanding of the comments by Humanino and Demystifier is that the CDP applies only after the collapse. So CDP in this case is not an argument against collapse. What am I missing?

Thanks.
 
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kurt101 said:
Why does microcausal QFT obeying the linked-cluster theorem imply there cannot be any instantaneous collapse? Is this the strongest argument against instantaneous collapse?

It does not. The linked cluster theorem enforces no faster-than-light communication. Instantaneous collapse is consistent with the absence of superluminal communication.
 
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