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Impossible Measurements on Quantum Fields

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arxiv gr-qc/9302018 v2 pith:4DVIOUGN submitted 1993-02-17 gr-qc hep-th

Impossible Measurements on Quantum Fields

classification gr-qc hep-th
keywords quantumfieldmeasurementtheoryidealsum-over-historiesactsadvantages
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It is shown that the attempt to extend the notion of ideal measurement to quantum field theory leads to a conflict with locality, because (for most observables) the state vector reduction associated with an ideal measurement acts to transmit information faster than light. Two examples of such information-transfer are given, first in the quantum mechanics of a pair of coupled subsystems, and then for the free scalar field in flat spacetime. It is argued that this problem leaves the Hilbert space formulation of quantum field theory with no definite measurement theory, removing whatever advantages it may have seemed to possess vis a vis the sum-over-histories approach, and reinforcing the view that a sum-over-histories framework is the most promising one for quantum gravity.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    physics.gen-ph 2026-06 unverdicted novelty 4.0

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