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arXiv:2602.06845

Comment on "Relativistic covariance and nonlinear quantum mechanics: Tomonaga-Schwinger analysis''

Lajos Diósi

quant-phSubmitted Feb 6, 2026• Announced Feb 9, 2026• 0 citations
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Abstract

Contrary to the central claim (Hsu, 2026) published in Physics Letters B, the Tomonaga--Schwinger equation remains covariant despite the nonlinear modification of it. The proof of covariance becomes simple after the loopholes and mistakes in Hsu's arguments are identified.
Comments
2pp, Comment on arXiv:2511.15935 [Phys.Lett.B872,140053(2026)]

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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 linear Schrödinger evolution) violate relativistic covariance. We derive new operator integrability conditions required for foliation independence, including the Fréchet 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.