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Aug 7, 2020 at 6:50 comment added Valter Moretti Well, I do not want to enter a long discussion, but the argument by P&S is disputable...physics.stackexchange.com/questions/346780/…
Aug 6, 2020 at 23:11 comment added Technically Natural One-particle relativistic QM violates causality, which I would consider a serious incompatibility (for reference, see section 2.1 of Peskin and Schroeder). I'm not sure what you mean by single-particle QFT. How would that be possible?
Aug 6, 2020 at 22:07 comment added Valter Moretti I think that one-particle QFT (relativistic QM) is logically consistent with special relativity though part of the formalism has a subtle interpretation (e.g. the definition of position observables). The problems only regard physical phenomenology. For instance it is not able to describe the phenomenon of pair production. These phenomena are accounted by qft instead.
Aug 6, 2020 at 21:55 comment added my2cts The statement that QM is incompatible with relativity is misleading.
Aug 6, 2020 at 13:22 comment added my2cts QM is not incompatible with relativity. It is a low velocity approximation to it.
Aug 5, 2020 at 17:46 history edited Technically Natural CC BY-SA 4.0
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Aug 5, 2020 at 17:21 comment added Valter Moretti Heisenberg principle position-momentum is valid as it stands also for relativistic quantum theory (one-particle qft). Further physical phenomena may happen in addition to it, as creation of couples, but the proof of H principle is still valid.
Aug 5, 2020 at 16:44 history edited Technically Natural CC BY-SA 4.0
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Aug 5, 2020 at 15:50 history answered Technically Natural CC BY-SA 4.0