{"paper":{"title":"Generalized Fock--Lorentz Transformations from Projective Conformal Coordinates and Their Application to One-Dimensional Relativistic Oscillators","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Abdelmalek Boumali, M. Botshekananfard, N. Jafari","submitted_at":"2026-06-08T10:12:47Z","abstract_excerpt":"We present a compact and systematic formulation of the generalized Fock--Lorentz (FL) transformations. The construction is based on a family of auxiliary Minkowski coordinates defined through a projective conformal map, $X^{\\mu}=x^{\\mu}/[1+a_{\\nu}x^{\\nu}/R]$, where $R$ denotes a deformation length and $a^{\\mu}$ a constant deformation vector. Ordinary Lorentz transformations, acting linearly on $X^{\\mu}$, thereby induce nonlinear transformations of the physical coordinates $x^{\\mu}$. This formulation renders transparent the structure of the invariant interval, the role of the conformal factor, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12459","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.12459/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}