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Open Quantum Systems Decoherence
Relativistic Covariance and Nonlinear Quantum Mechanics: Tomonaga-Schwinger Analysis
arXiv
Authors: Stephen D. H. Hsu
Year
2025
Paper ID
16900
Status
Preprint
Abstract Read
~2 min
Abstract Words
67
Citations
N/A
Abstract
We use the Tomonaga-Schwinger (TS) formulation of quantum field theory to determine when state-dependent additions to the local Hamiltonian density (i.e., modifications to linear Schrodinger evolution) violate relativistic covariance. We derive new operator integrability conditions required for foliation independence, including the Frechet derivative terms that arise from state-dependence. Nonlinear modifications of quantum mechanics affect operator relations at spacelike separation, leading to violation of the integrability conditions.
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- We use the Tomonaga-Schwinger (TS) formulation of quantum field theory to determine when state-dependent additions to the local Hamiltonian density (i.e., modifications to...
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