{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"579f8d99f669c6e634501d17e2717c1b002c1ec945e77d4c7ac8ec1d550175d9","created":"2026-10-03T07:18:10Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"f78b148f185b13f75a3701bf177229d16dde4c3e887b5a3b3fad7d16f70ac2f9","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"proof","assisted_by":[],"external_id":"qi.measurement-problem.relativistic-pilot-wave","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Bohmian mechanics (pilot-wave theory) gives particles definite paths guided by the wave function and reproduces quantum predictions, but its nonlocal guidance seems to need a preferred notion of 'now' across space, which relativity lacks. Whether a fully relativistic version exists for interacting fields is open.","posed_since":"","precise":"Bohmian mechanics for entangled particles and its field-theory extensions (Bell-type quantum field theories with stochastic particle creation) use a preferred spacelike foliation; Durr, Goldstein, Norsen, Struyve and Zanghi (Proc. R. Soc. A 2014) showed that for fixed particle number the foliation can be generated covariantly from the wave function. Determine whether a hidden-variable theory for an interacting relativistic QFT (e.g. QED) exists whose only extra spacetime structure is fixed covariantly by the wave function, with well-defined beables through particle creation and annihilation, reproducing all quantum predictions; or prove that such a theory needs structure not determined by the dynamics.","problem_ref":null,"references":"","settled_by":"An explicit covariant construction for an interacting QFT with a proof of empirical equivalence, or a no-go theorem under stated assumptions.","status_note":"A covariant foliation law for fixed particle number was given in 2014 (doi:10.1098/rspa.2013.0699); no accepted construction for interacting QFT was found in the sources checked.","title":"A pilot-wave theory for interacting quantum fields without preferred 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