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
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In the 1+1D Majorana QFT the vacuum Bell-CHSH correlator reduces to a modular spectral weight that can be tuned to reach the Tsirelson limit.
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.
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.
Generalizes Verlinde-van der Heijden protocol to type III factors in QFT, yielding thermodynamic interpretation and charge quantization via index-statistics theorem.
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.
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Galilean Reeh--Schlieder Obstruction
Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.