Eugene P. Wigner (1964), Proceedings of the National Academy of Sciences of the USA 51(5):956–965 (NAS Centennial, Second Scientific Session) — DOI-10.1073/pnas.51.5.956
Key takeaways
- Wigner argues that invariance principles stand to the laws of nature as laws stand to events — they give structure to the laws — and distinguishes geometrical invariances (formulated on events; yielding energy/momentum/angular-momentum conservation, most directly in quantum kinematics) from dynamical ones such as gauge invariance and, he holds, general covariance, which are tied to specific interactions.
Seeded from the abstract and a skim, not a reading. What follows is what the work says about itself.
A centennial address surveying how symmetry and invariance, long implicit in physics, became central after Einstein. Wigner proposes that invariance principles relate to laws of nature as laws relate to events, supplying coherence rather than new content. He separates the classical, geometrical space-time invariances from newer dynamical invariances belonging to particular interactions, reviews how the geometrical ones yield conservation laws, and discusses what the dynamical groups (gauge, general relativity, strong and weak interactions) do and do not imply about conservation.
Standing in the record
Filed from the 2026-09-26 sweep of the papers-feed tracker for philosophy: 0 seconds of active reading over 0 sessions. Deferred because nobody has read it closely here yet, not on merit.
Priority for a deeper reading: low — never opened by the owner (t = 0), short, and the skim captures the argument; its value is as a citation for the invariance-principle hierarchy.
What a deeper reading should check:
- A classic source for the laws/invariance-principles hierarchy and for the geometrical/dynamical distinction that later philosophy of symmetry (Brading, Castellani, Earman) builds on.
- Check how the “general covariance is dynamical, not geometrical” claim compares with later debates on the physical content of diffeomorphism invariance (cf. Belot, LIT-122).
- Parts of the particle-physics discussion (1964 SU(3) status) are dated; the philosophical framing is what remains current.
Access when seeded: The captured URL (JSTOR) was not used; metadata from Crossref and Europe PMC (PMC300191; Europe PMC gives 1964-05-01, the issue month — no day-level date exists for the issue). Live PMC/Europe PMC/PNAS PDFs are behind JavaScript challenges; the full 10-page scan was read from a Wayback copy of the PNAS PDF.