An expanding universe of spinning spheres

dc.creatorEllis, Homer G.
dc.date2004-10-28
dc.date.accessioned2026-07-07T03:29:07Z
dc.date.available2026-07-07T03:29:07Z
dc.descriptionA novel but elementary geometric construction produces on the seven-dimensional manifold of rotated spheres in Euclidean three-space a finslerian geometry whose geodesics are interpreted as the paths of free, spinning, spherical particles moving through de Sitter's expanding universe. A particle of nonzero inertial rest mass typically follows a helical track and exhibits behavior remindful of the phenomenon of ``Zitterbewegung'' of spinning electrons first deduced by Schroedinger from Dirac's relativistic wave equation. Its velocity vector and its spin vector precess about the axial direction of the helix, with their projections onto that direction at all times parallel or at all times antiparallel. Particles of zero rest mass follow straight tracks at the speed of light with their spin vectors parallel or antiparallel to their velocity vectors, thereby replicating behavior of spinning photons predicted by the quantum theory of light.
dc.description8 pages, AMSTeX, 5 Encapsulated PostScript figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0410137
dc.identifierhttp://arxiv.org/abs/gr-qc/0410137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35088
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAn expanding universe of spinning spheres
dc.typetext

Files

Collections