Lambda-renormalized Einstein-Schrodinger theory with spin-0 and spin-1/2 sources

dc.creatorShifflett, J. A.
dc.date2004-11-02
dc.date2007-04-13
dc.date.accessioned2026-07-07T07:56:24Z
dc.date.available2026-07-07T07:56:24Z
dc.descriptionThe Einstein-Schrodinger theory is extended to include spin-0 and spin-1/2 sources, and the theory is derived from a Lagrangian density which allows other fields to be easily added. The original theory is also modified by including a cosmological constant caused by zero-point fluctuations. This cosmological constant which multiplies the symmetric metric is assumed to be nearly cancelled by Schrodinger's ``bare'' cosmological constant which multiplies the nonsymmetric fundamental tensor, such that the total ``physical'' cosmological matches measurement. We show that the resulting Lambda-renormalized Einstein-Schrodinger theory closely approximates ordinary Einstein-Maxwell theory and one-particle quantum mechanics. In particular, the field equations match the ordinary Einstein and Maxwell equations except for additional terms which are $<10^{-16}$ of the usual terms for worst-case field strengths and rates-of-change accessible to measurement. We also show that the theory predicts the exact Lorentz force equation and the exact Klein-Gordon and Dirac equations. And the theory becomes exactly Einstein-Maxwell theory and one-particle quantum mechanics in the limit as the cosmological constant from zero-point fluctuations goes to infinity. Lastly, we discuss the merits of our Lagrangian density compared to the Einstein-Maxwell Lagrangian density.
dc.description30 pages, latex2e, many changes, some new material, changed to geometrized units
dc.identifierhttps://arxiv.org/abs/gr-qc/0411016
dc.identifierhttp://arxiv.org/abs/gr-qc/0411016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127298
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLambda-renormalized Einstein-Schrodinger theory with spin-0 and spin-1/2 sources
dc.typetext

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