Quantum field theory cannot provide faster-than-light communication

Eberhard, P.H.; Ross, R. R.

doi:10.1007/bf00696109

Cited by 97 publications

(80 citation statements)

References 25 publications

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“…in [46]. As we saw, the spacelike propagation is merely a consequence of the uncertainty principle, and in general no quantum field theoretical propagators could be restricted to the inside of the lightcone.…”

Section: Pointwise Multiplicationmentioning

confidence: 85%

On quantum field theory with nonzero minimal uncertainties in positions and momenta

Kempf

1997

Journal of Mathematical Physics

173

191

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A noncommutative geometric generalisation of the quantum field theoretical framework is developed by generalising the Heisenberg commutation relations. There appear nonzero minimal uncertainties in positions and in momenta. As the main result it is shown with the example of a quadratically ultraviolet divergent graph in φ 4 theory that nonzero minimal uncertainties in positions do have the power to regularise. These studies are motivated with the ansatz that nonzero minimal uncertainties in positions and in momenta arise from gravity. Algebraic techniques are used that have been developed in the field of quantum groups. * supported by Studienstiftung des Deutschen Volkes, BASF-fellow 1

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Section: Pointwise Multiplicationmentioning

confidence: 85%

On quantum field theory with nonzero minimal uncertainties in positions and momenta

Kempf

1997

Journal of Mathematical Physics

173

191

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“…Here, one measurement generally affects the other measurement because their uncertainties are not independent unless the commutator [A, B] vanishes. A careful reasoning in the present context shows that with the above microcausality condition, the physics at x cannot affect the physics at y and vice versa if the separation between x and y is spacelike [17]. We remark in passing that in this axiomatic framework the spin-statistics theorem follows rigorously, so that the above choice between commutators and anticommutators is actually fixed: commutators for integer-spin fields and anticommutators for half-integer spin fields.…”

Section: Proof Based On Axiomatic Field Theorymentioning

confidence: 69%

CPT Symmetry and Its Violation

Lehnert

2016

Symmetry

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Abstract:One of the most fundamental symmetries in physics is CPT invariance. This article reviews the conditions under which CPT symmetry holds by recalling two proofs of the CPT theorem: The original Lagrangian-based analysis and the more rigorous one in the context of axiomatic quantum field theory. The presentation of the proofs is followed by a discussion of the major physical implications that arise from CPT symmetry. Motivated by recent theoretical and experimental interest in CPT tests, various approaches to the violation of CPT symmetry are mentioned, and it is briefly discussed how they evade the CPT theorem. An attempt has been made to keep this work self-contained and at a level suitable for a wider readership by excising as many technical aspects as possible.

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“…This happens because the new protocol eliminates the obligation to use two channels, a classical one and a quantum one, and that because of the first one, the fundamental attribute of entanglement is lost: the instantaneity. Furthermore, in the Quantum Communications work mentioned above [23] is demonstrated that a superluminal signaling [7,8] is not necessary for entanglement to be instantaneous.…”

Section: Discussionmentioning

confidence: 99%

“…The essence of the paradox is that particles can interact in such a way that it is possible to measure both their position and their momentum more accurately than Heisenberg's uncertainty principle allows [5], unless measuring one particle instantaneously affects the other to prevent this accuracy, which would involve information being transmitted faster than light [6][7][8] as forbidden by the theory of relativity ("spooky action at a distance") [5,[9][10][11][12][13]. This consequence had not previously been noticed and seemed unreasonable at the time; the phenomenon involved is now known as quantum entanglement [1,5].…”

Section: Introductionmentioning

confidence: 99%

“…This NoGo Theorem of quantum mechanics was articulated by Wootters and Zurek [16] and Dieks [12] in 1982, and has profound implications in quantum computing and related fields. Besides, the NoCloning Theorem [5] prevents the transfer of information faster than the speed of light [6][7][8]. We have seen that a measurement on subsystem A instantaneously transforms subsystem B into a well-defined state.…”

Section: Introductionmentioning

confidence: 99%

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