Does Pauli Exclusion still make sense when the particle interpretation fails?

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SUMMARY

The discussion centers on the implications of the Pauli Exclusion Principle in the context of Quantum Field Theory (QFT) in strongly curved spacetime. It establishes that while the principle asserts no two particles can occupy the same state, its interpretation may be challenged when particle definitions become ambiguous in curved spacetime. Reference to Sean Carroll's "Quantum Field Theory in Curved Spacetime" indicates that while scalar fields are considered, the fundamental features of QFT remain intact, with the primary distinction being the inability to universally define particle states across different inertial frames. The use of Bogolubov transformations allows observers to relate their definitions of particles.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with the Pauli Exclusion Principle
  • Knowledge of curved spacetime concepts
  • Basic grasp of Bogolubov transformations
NEXT STEPS
  • Study "Quantum Field Theory in Curved Spacetime" by Sean Carroll for deeper insights
  • Explore the implications of the Pauli Exclusion Principle in various quantum systems
  • Research the role of spinor fields in QFT
  • Investigate the effects of curvature on quantum states and particle definitions
USEFUL FOR

Physicists, particularly those specializing in quantum mechanics, general relativity, and quantum field theory, will benefit from this discussion, as well as students and researchers exploring the intersection of particle physics and curved spacetime.

petergreat
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Pauli exclusion says no two particles should occupy the same state. Alternatively, it says that exchanging two particles generate a factor of -1. This is a basic fact about a spinor field, as a result of anticommutation relations. However, I hear that in strongly curved space time, QFTs have no interpretation in terms of particles. In this case, do the above two statement of Pauli eclusion fail to make sense, since both of them involve the concept of "particles"?
 
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Well, your post itself says that "This is a basic fact about a spinor field", which doesn't seem to me to depend on the concept of particles. I know pretty much nothing about QFT in strongly curved spacetime, but I would be surprised if the Lorentz-transformation properties of the fields (which makes them spinors) or their quantum numbers (which define the states) were affected by the curvature.

I took a quick look at Carroll's section 9.4 on "Quantum Field Theory in Curved Spacetime"; he only considers scalar fields, but concludes (page 401), "We see that QFT in curved spacetime shares most of the basic features of QFT in flat spacetime; the crucial difference involves what we cannot do, namely decide on a natural set of basis modes that all inertial observers would identify as particles." Any given observer, however, is able to define "particles" in their frame, which can be related to the particles defined by other observers in different frames through Bogolubov transformations.
http://preposterousuniverse.com/spacetimeandgeometry/
 

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