Modular Theory and Geometry

B. Schroer; H.-W. Wiesbock (FU-Berlin)

Modular Theory and Geometry

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arxiv math-ph/9809003 v1 pith:C3Z2AHWO submitted 1998-09-02 math-ph hep-thmath.MP

B. Schroer , H.-W. Wiesbock (FU-Berlin) This is my paper · ORCID

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In this letter we present some new results on modular theory and its application in quantum field theory. In doing this we develop some new proposals how to generalize concepts of geometrical action. Therefore the spirit of this letter is more on a programmatic side with many details remaining to be elaborated.

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The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity
gr-qc 2025-07 reject novelty 3.0 of 10

A review of Takesaki crossed product duality plus an unproven conjecture that modular Hamiltonian evolution of vacuum fluctuations is the microscopic mechanism of gravitational time dilation.

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