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Tomonaga: quantum states on spacelike surfaces

Contribution grade

Quantum field theory · Quantum field theory

Reference score320,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

A spacelike-surface state functional and local-deformation formalism exposes Lorentz-compatible free/interaction separation under explicit commutation/density conditions.

Scientific scope

A spacelike-surface state functional and local-deformation formalism exposes Lorentz-compatible free/interaction separation under explicit commutation/density conditions. Exact contribution is the 1943 formulation as represented by its 1946 English translation; Japanese original unread and no separate translation achievement. The argument assumes a scalar interaction-energy density and the required commutation at separated and adjacent spacelike points, motivated by the stated derivative-free interaction setting. Fields are transformed with free evolution; the surface-state equations are formal and restricted to spacelike surfaces, not arbitrary timelike boundaries. Section 4 handles continuum amplitudes through an indicated countable approximation and states results rather than supplying a modern measure-theoretic construction. Section 6 explicitly retains divergence problems and says the equations have pathological infinite solutions; this is not a renormalization proof, rigorous existence theorem for interacting continuum QFT or new verified physical prediction. equation images/glyphs imperfect, no independent reconstruction, replay or original-Japanese verification. Dirac/Bloch, Pauli, Stueckelberg, Heisenberg and Yukawa inputs remain inherited. Later Schwinger formulations, QED corrections and experimental confirmations are separate.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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