What is recorded here?
The1943work, read through its1946English publication, reformulates quantum field-state evolution as a functional of a spacelike surface. Under the stated interaction-density and commutation assumptions, local surface deformations give an explicitly Lorentz-compatible formal description. Different observers disagree about which distant events happen at the same time. A field state tied only to one flat time slice can hide that issue. Tomonaga instead describes the state on a spacelike surface and how interactions change it when a small patch moves. This gives a way to express the same formal physics without privileging one observer’s time coordinate. The paper also states that this reformulation leaves the existing infinite quantities unresolved.
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Scientific scope
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.
Read the original work
- Tomonaga:1946 English publication of the1943 spacelike-surface field formulation
- J-STAGE original publication metadata:Tomonaga1946translation
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People and systems
S. Tomonaga
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English catalogue narrative
Tomonaga: quantum states on spacelike surfaces
The1943work, read through its1946English publication, reformulates quantum field-state evolution as a functional of a spacelike surface. Under the stated interaction-density and commutation assumptions, local surface deformations give an explicitly Lorentz-compatible formal description.
Different observers disagree about which distant events happen at the same time. A field state tied only to one flat time slice can hide that issue. Tomonaga instead describes the state on a spacelike surface and how interactions change it when a small patch moves. This gives a way to express the same formal physics without privileging one observer’s time coordinate. The paper also states that this reformulation leaves the existing infinite quantities unresolved.
Scientific scope
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.
People and systems
S. Tomonaga