On the origin of the deflection of light
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Date
2008
Authors
Giné, Jaume
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Abstract
Action at distance in Newtonian physics is replaced by
finite propagation speeds in classical post–Newtonian physics. As
a result, the differential equations of motion in Newtonian physics
are replaced by functional differential equations, where the delay
associated with the finite propagation speed is taken into account.
Newtonian equations of motion, with post–Newtonian corrections,
are often used to approximate the functional differential equations.
In [16] a simple atomic model based on a functional differential
equation which reproduces the quantized Bohr atomic model was
presented. The unique assumption was that the electrodynamic
interaction has a finite propagation speed. In [17] a simple gravitational
model based on a functional differential equation which
gives a gravitational quantification and an explanation of the modified
Titius–Bode law is described. In [18] an explanation of the
anomalous precession of Mercury’s perihelion is given in terms of
a simple retarded potential, which, at first order, coincides with
Gerber’s potential of 1898, and which agrees with the author’s
previous works [16, 17]. In this paper, it is shown how the simple
retarded potential presented in [18] also gives the correct value of
the gravitational deflection of fast particles of General Relativity.
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Chaos, Solitons & Fractals, 2008, vol. 35, núm. 1, p. 1-6