Penrose twistors and LdGS electrons: Geometric compatibility and experimental tests

An oriented degree-one LdGS charge hedgehog and a twistor line carry isomorphic smooth tautological bundles. A nonzero-degree principal axis of a real symmetric tensor on an enclosing sphere forces minor-eigenvalue degeneracies. These exact geometric results do not identify an electron. The tested Dirac packet's Weyl-spin direction has degree zero, and the examined configuration spaces do not select fermionic exchange. A specified tensor-Maxwell hybrid supplies self-consistent radial charge profiles and restricted positive static second variations. Its conditional classical mass/radius bounds require a separate dictionary to quantum form factors. Physical equivalence still requires a global current, healthy dynamics, matched one- and two-photon response, and quantum statistics. Analytical derivations, explicit counterexamples and reproducible computational controls define the comparison.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.23994475
Primary Topic
Quantum and Classical Electrodynamics
Type
article
Field-Weighted Citation Impact
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article

Penrose twistors and LdGS electrons: Geometric compatibility and experimental tests

Jarek Duda
2 links
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
article

Penrose twistors and LdGS electrons: Geometric compatibility and experimental tests

Jarek Duda
article en

Abstract

An oriented degree-one LdGS charge hedgehog and a twistor line carry isomorphic smooth tautological bundles. A nonzero-degree principal axis of a real symmetric tensor on an enclosing sphere forces minor-eigenvalue degeneracies. These exact geometric results do not identify an electron. The tested Dirac packet's Weyl-spin direction has degree zero, and the examined configuration spaces do not select fermionic exchange. A specified tensor-Maxwell hybrid supplies self-consistent radial charge profiles and restricted positive static second variations. Its conditional classical mass/radius bounds require a separate dictionary to quantum form factors. Physical equivalence still requires a global current, healthy dynamics, matched one- and two-photon response, and quantum statistics. Analytical derivations, explicit counterexamples and reproducible computational controls define the comparison.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 28%
Quantum and Classical Electrodynamics
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