Relativistic Covariance and Nonlinear Quantum Mechanics: Tomonaga-Schwinger Analysis

• URL: http://arxiv.org/abs/2511.15935v1
• Date: Wed, 19 Nov 2025 23:56:32 GMT
• Title: Relativistic Covariance and Nonlinear Quantum Mechanics: Tomonaga-Schwinger Analysis
• Authors: Stephen D. H. Hsu,
• Abstract summary: We use the Tomonaga-Schwinger (TS) formulation of quantum field theory to determine when state-dependent additions to the local Hamiltonian density violate relativistic co-dependence.<n>We derive new operator integrability conditions required for foliation independence, including the Frechet derivative terms that arise from state-variance modifications of quantum mechanics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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