dorsal/arxiv
View SchemaIs the Dirac particle composite?
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | physics/0410045 |
| URL | https://arxiv.org/abs/physics/0410045 |
Abstract
Classical model S_{Dcl} of the Dirac particle S_D is constructed. S_D is the dynamic system described by the Dirac equation. For investigation of S_D and construction of S_{Dcl} one uses a new dynamic method: dynamic disquantization. This relativistic purely dynamic procedure does not use principles of quantum mechanics. The obtained classical analog S_{Dcl} is described by a system of ordinary differential equations, containing the quantum constant $\hbar$ as a parameter. Dynamic equations for S_{Dcl} are determined by the Dirac equation uniquely. The dynamic system S_{Dcl} has ten degrees of freedom and cannot be a pointlike particle, because it has an internal structure. There are two ways of interpretation of the dynamic system S_{Dcl}: (1) dynamical interpretation and (2) geometrical interpretation. In the dynamical interpretation the classical Dirac particle S_{Dcl} is a two-particle structure (special case of a relativistic rotator). It explains freely such properties of S_D as spin and magnetic moment, which are strange for pointlike structure. In the geometrical interpretation the world tube of S_{Dcl} is a ''two-dimensional broken band'', consisting of similar segments. These segments are parallelograms (or triangles), but not the straight line segments as in the case of a structureless particle. Geometrical interpretation of the classical Dirac particle S_{Dcl} generates a new approach to the elementary particle theory.
{
"annotation_id": "0dcfe892-502d-4335-9148-14c8a678abe6",
"date_created": "2026-03-02T18:00:53.414000Z",
"date_modified": "2026-03-02T18:00:53.414000Z",
"file_hash": "92af5c0e3ab0fb86f2462104147c171d85de04c69b49a151de77f046486252a7",
"private": false,
"record": {
"abstract": "Classical model S_{Dcl} of the Dirac particle S_D is constructed. S_D is the\ndynamic system described by the Dirac equation. For investigation of S_D and\nconstruction of S_{Dcl} one uses a new dynamic method: dynamic disquantization.\nThis relativistic purely dynamic procedure does not use principles of quantum\nmechanics. The obtained classical analog S_{Dcl} is described by a system of\nordinary differential equations, containing the quantum constant $\\hbar$ as a\nparameter. Dynamic equations for S_{Dcl} are determined by the Dirac equation\nuniquely. The dynamic system S_{Dcl} has ten degrees of freedom and cannot be a\npointlike particle, because it has an internal structure. There are two ways of\ninterpretation of the dynamic system S_{Dcl}: (1) dynamical interpretation and\n(2) geometrical interpretation. In the dynamical interpretation the classical\nDirac particle S_{Dcl} is a two-particle structure (special case of a\nrelativistic rotator). It explains freely such properties of S_D as spin and\nmagnetic moment, which are strange for pointlike structure. In the geometrical\ninterpretation the world tube of S_{Dcl} is a \u0027\u0027two-dimensional broken band\u0027\u0027,\nconsisting of similar segments. These segments are parallelograms (or\ntriangles), but not the straight line segments as in the case of a\nstructureless particle. Geometrical interpretation of the classical Dirac\nparticle S_{Dcl} generates a new approach to the elementary particle theory.",
"arxiv_id": "physics/0410045",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"physics.gen-ph"
],
"title": "Is the Dirac particle composite?",
"url": "https://arxiv.org/abs/physics/0410045"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8885d29a-8cfa-4ee4-a3d9-346ea5dbb0c5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}