Dirac Representation of Dynamically-Generated Elementary-Particle Mass
| dc.creator | Chew, Geoffrey F. | |
| dc.date | 2008-01-03 | |
| dc.date | 2008-02-21 | |
| dc.date.accessioned | 2026-07-07T09:21:53Z | |
| dc.date.available | 2026-07-07T09:21:53Z | |
| dc.description | Special-relativistic dynamically-generated elementary-particle mass is represented by a self-adjoint energy operator acting on a rigged Hilbert space (RHS) of functions over the 6-dimensional Euclidean-group manifold. The energy operator is not the generator of infinitesimal wave-function evolution in classical time. Ray evolution is generated by action-carrying Feynman paths. Extending quantum-theoretic formalism which Dirac invented and applied non-relativistically, unitary Poincaré -group representation is provided by the wave functions of a spacelike entity that we call 'preon'. Although the term 'preon observable' is misleading, six continuous Feynman-path-contacting preon coordinates specify spatial location (3 coordinates), lightlike-velocity-direction (2 coordinates) and transverse polarization (1 coordinate). Velocity and spatial location combine to define a preon time operator conjugate to the energy operator. In RHS bases alternative to functions over the group manifold, the wave function depends on a preon 'velocity-helicity' integer or half-odd integer) and a positive-lightlike velocity 4-vector that is Lorentz-orthogonal to a canonically-conjugate pair of spacelike 4-vectors. One 4-vector prescribes location in preon spacetime while its conjugate prescribes preon energy-momentum. Emulating the Schrödinger-dubbed 'zitterbewegung' of Dirac's 'relativistic' electron, mass for any spinning (positive-timelike) elementary particle accompanies a reflection-symmetric fluctuation of preon lightlike velocity and velocity-helicity. But (departing from Dirac), a tiny elementary-particle 'longitudinal' spatial extension accompanies a huge fluctuation of preon longitudinal momentum dictated by motionless-particle reflection symmetry about the plane perpendicular to spin direction. | |
| dc.description | Theoretical Physics Group Physics Division Lawrence Berkeley National Laboratory Berkeley, California 94720, U.S.A | |
| dc.identifier | https://arxiv.org/abs/0801.0459 | |
| dc.identifier | http://arxiv.org/abs/0801.0459 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155186 | |
| dc.subject | General Physics | |
| dc.title | Dirac Representation of Dynamically-Generated Elementary-Particle Mass | |
| dc.type | text |