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Causally neutral quantum physics
Quantum Physics · Submitted 15 Feb 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thanks to the absence of a definite spacetime causal structure, Lagrangian quantum field theories can be studied on a quantum superposition of spacetimes with a point identification structure.
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The abstract, sentence by sentence
In fundamental theories that accounts for quantum gravitational effects, the spacetime causal structure is expected to be quantum uncertain. Previous studies of quantum causal structure focused on finite-dimensional systems. Here we present an algebraic framework that incorporates both finite- and infinite-dimensional systems including quantum fields. Thanks to the absence of a definite spacetime causal structure, Lagrangian quantum field theories can be studied on a quantum superposition of spacetimes with a point identification structure.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In fundamental theories that accounts for quantum gravitational effects, the spacetime causal structure is expected to be quantum uncertain. | background 1.00 | 0.05 | 0.07 | hedged possibility 0.86 |
| s1 | Previous studies of quantum causal structure focused on finite-dimensional systems. | background 0.56 | 0.03 | 0.03 | asserted 1.00 |
| s2 | Here we present an algebraic framework that incorporates both finite- and infinite-dimensional systems including quantum fields. | contribution 0.99 | 0.92 | 0.22 | asserted 1.00 |
| s3 | Thanks to the absence of a definite spacetime causal structure, Lagrangian quantum field theories can be studied on a quantum superposition of spacetimes with a point identification structure. | contribution 0.35 | 0.51 | 0.34 | asserted 0.83 |
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The paper
Original abstract
In fundamental theories that accounts for quantum gravitational effects, the spacetime causal structure is expected to be quantum uncertain. Previous studies of quantum causal structure focused on finite-dimensional systems. Here we present an algebraic framework that incorporates both finite- and infinite-dimensional systems including quantum fields. Thanks to the absence of a definite spacetime causal structure, Lagrangian quantum field theories can be studied on a quantum superposition of spacetimes with a point identification structure.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 1 paper
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There have been some attempts in the literature at constructing such a threading of points between the different manifolds, on the classical [ref] and the quantum level [ref] .
Identification is Pointless: Quantum Coordinates, Localisation of Events, and the Quantum Hole Argument · Introduction · 0.81
What it cites · 4 sentences without a confident label
Compares with 1 paper
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[ref] While the cited works share the individual features, to our knowledge the present framework is unique is possessing all the features.
Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime · Introduction · 0.89
Cites as background 2 papers
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More recently, several frameworks accommodating indefinite causal structure for quantum theory were proposed using tools from quantum information theory, e.g., [ref] .
Theoretical framework for Higher-Order Quantum Theory · Introduction · 0.81
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A version of the quantum switch had also been conceived in connection with gravitational time dilation [ref] .
Bell's Theorem for Temporal Order · The quantum switch · 0.85
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