Mathematics – Logic
Scientific paper
Oct 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..4cf.f1005a&link_type=abstract
American Physical Society, Four Corners Section Fall Meeting, 15-16 October, 2004, Albuquerque, NM. MEETING ID: 4CF04, abstract
Mathematics
Logic
Scientific paper
This work outlines a simple method for calculating the curvature of motion in a gravitational field based on the wave characteristics of matter. The fundamental steps in this approach are: 1) Hypothesize that if the wavelength of an object is a function of position, and there is no other influence, the motion of the object is a pure function of wave propagation. 2) Derive the influence of a gravitational field on the wavelength of matter. 3) Derive the curvature of motion as a function of wave propagation. 4) Develop a numerical method using the wave-based curvature of motion, to integrate the path of motion. A comparison of this method with published data demonstrates that it provides an accurate model of the curvature of motion in a gravitational field for the following examples: 1) Simple trajectory motion (the wave propagation method is compared with a classical Newtonian calculation). 2) The orbital parameters (period, eccentricity, etc.) of planets in our solar system. 3) The orbital precession of planets in our solar system. 4) The bending of light as it passes near the Sun. This wave propagation approach also predicts a natural logarithmic gravitational red shift that agrees with published data. The cosmological implications of this result should be studied in greater detail.
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