Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
Tomita's Theory of Modular Hilbert Algebras and its Applications
9 Pith papers cite this work, alongside 731 external citations. Polarity classification is still indexing.
9
Pith papers citing it
731
external citations · OpenAlex
citation-role summary
background 1
citation-polarity summary
years
2026 9roles
background 1polarities
background 1representative citing papers
Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.
A type III generalization of the Verlinde–van der Heijden black hole information retrieval protocol, with teleportation prefactor (d(ρ)/d(ρ′))² fixed by the index-statistics theorem.
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
In the massive Majorana field in 1+1 dimensions, the vacuum Bell-CHSH correlator is reduced to a single spectral weight, with the Tsirelson bound approached as the weight concentrates near modular eigenvalue 1.
Free massless Majorana fields in 1+1D with modular wedge localization nearly saturate the Tsirelson bound for the Bell-CHSH inequality.
Vertex operators of a chiral boson realize dichotomic bounded Hermitian operators that saturate the Tsirelson bound of the Bell-CHSH inequality in the vacuum.
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
citing papers explorer
-
Galilean Reeh--Schlieder Obstruction
Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
-
Relative entropy for $\lambda \phi^4$ in the Rindler wedge
Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.
-
Numerical approach to the modular operator for fermionic systems
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.
-
A QFT information protocol for charged black holes
A type III generalization of the Verlinde–van der Heijden black hole information retrieval protocol, with teleportation prefactor (d(ρ)/d(ρ′))² fixed by the index-statistics theorem.
-
Spacetime from Operator Algebras
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
-
Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality
In the massive Majorana field in 1+1 dimensions, the vacuum Bell-CHSH correlator is reduced to a single spectral weight, with the Tsirelson bound approached as the weight concentrates near modular eigenvalue 1.
-
More on Majorana fields, modular localization and near saturation of the Tsirelson bound
Free massless Majorana fields in 1+1D with modular wedge localization nearly saturate the Tsirelson bound for the Bell-CHSH inequality.
-
Bosonization, vertex operators and maximal violation of the Bell-CHSH inequality in wedge regions
Vertex operators of a chiral boson realize dichotomic bounded Hermitian operators that saturate the Tsirelson bound of the Bell-CHSH inequality in the vacuum.
-
Rethinking quantum information in gravity and fields
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.