Quantum without Identical Particles

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Discussion Overview

The discussion explores the possibility of deriving quantum mechanics or quantum field theory without the concept of identical particles, particularly in relation to the Pauli exclusion principle and its implications for fermions and bosons.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant questions whether it is possible to prove the Pauli exclusion principle without invoking identical particles, suggesting that there might be a clever way to derive it.
  • Another participant argues that without the principle of identical particles, the Pauli exclusion principle could not be proven at all.
  • A different viewpoint emphasizes that the concept of identicalness is central to both the Pauli exclusion principle for fermions and Bose-Einstein condensation for bosons, asserting that it is not merely a shortcut but a fundamental aspect of quantum mechanics.
  • One participant references the existence of white dwarf stars as evidence that quantum mechanics must hold true, implying that distinguishing electrons would contradict established physical phenomena.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of identical particles for deriving quantum principles, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

The discussion does not resolve the assumptions regarding the role of identical particles in quantum mechanics and the implications for established principles like the Pauli exclusion principle.

maverick_starstrider
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I'm just wondering if it's possible (if there's a paper or some such that'd be great) to derive quantum mechanics or quantum field theory WITHOUT invoking the notion of identical particles to prove things like Pauli's exclusion. Anyone know?
 
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Well, I don't think you would be proving the Pauli exclusion principle, since you wouldn't have that principle at all, correct?
 
Ken G said:
Well, I don't think you would be proving the Pauli exclusion principle, since you wouldn't have that principle at all, correct?

I dunno, my gut says there's probably a clever way to get to it without invoking identical particles.
 
To me, identicalness is absolutely central to the Pauli exclusion principle (for fermions), just as it is cental to Bose-Einstein condensation (for bosons). So I don't think identicalness is some kind of shortcut way to derive these things, it is the cause of them both, at least within the description we have access to using quantum mechanics. The existence of white dwarf stars means that quantum mechanics would actually need to be wrong for there to be some clever way to distinguish electrons.
 

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