Gravitation Without Curved Space-time

Abstract

A quantum-mechanical theory of gravitation is presented, where the motion of particles is based on the optics of de Broglie waves. Here the large-scale geometry of the universe is inherently flat, and its age is not constrained to < 13 Gyr. While this theory agrees with the standard experimental tests of Einstein's general relativity, it predicts a different second-order deflection of light, and measurement of the Lense-Thirring effect in the upcoming NASA experiment Gravity Probe B.

34 pages, LaTeX2e, no figures; typos in several equations are corrected, added calculations of the lunar orbit, revised Lagrangian, added appendices giving the derivation of c and equations of motion, added equations for relativistic acceleration and gravitational radiation, revised cosmology section, added discussion of the LATOR experiment, added discussion of the optical-mechanical analogy and quantum mechanics

References in corpus (7)

• A 4% Geometric Distance to the Galaxy NGC4258 from Orbital Motions in a Nuclear Gas Disk
• Time Dilation from Spectral Feature Age Measurements of Type Ia Supernovae
• The phase of a quantum mechanical particle in curved spacetime
• X-Ray Novae, Event Horizons and the Exponential Metric
• Gravitational memory of boson stars
• The Absolute Magnitude of RR Lyrae Stars Derived from the Hipparcos Catalogue
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Cited by in corpus (3)

• Origin of the Blueshift in Signals from Pioneer 10 and 11
• Equations of Motion in a Quantum-mechanical Theory of Gravity
• Galactic Nuclei and Jets in Wave Gravity