Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-11-02
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
30 pages, latex2e, many changes, some new material, changed to geometrized units
Scientific paper
The 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.
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