Abstract
The necessary derivation of negative mass in dispersion dynamics suggests cosmic applications. The method analyzes functional relationships between particle angular frequency, wave vector, rest mass and electromagnetic or nuclear potential, f(ω, k, m0, V) = 0. A summary of consequential predictions of the dynamics leads to a calculation of ways in which negative mass might influence such phenomena as the rotational velocities that are observed in spiral galaxies. The velocities are found to be not Newtonian in the simple two body approximations for our solar system; but nearly constant with increasing orbital radii. It has moreover been suggested that the motion is due to halo structures of dark matter or dark energy. However, the motion is simply described by many-body gravitation that is transmitted along elastic spiral arms. In this context, we calculate possible effects of negative mass, but without observational confirmation.
Highlights
A summary of consequential predictions of the dynamics leads to a calculation of ways in which negative mass might influence such phenomena as the rotational velocities that are observed in spiral galaxies
The motion is described by many-body gravitation that is transmitted along elastic spiral arms
Dispersion dynamics [1] [2] [3] [4] [5] is based on the formula in special relativity which contains the functional relationship between energy E, momentum p and rest mass mo of a free body, f(E, p, mo) = 0
Summary
Dispersion dynamics [1] [2] [3] [4] [5] is based on the formula in special relativity which contains the functional relationship between energy E, momentum p and rest mass mo of a free body, f(E, p, mo) = 0 In wave mechanics, this translates to f(ω, k, mo, V) = 0, by substitution with angular frequency in Planck’s law; with wave vector in the de Broglie hypothesis; and with potential V ≠ 0 for a bound particle. The phase velocity is faster than the speed of light c and is singular when k → 0: within this rest frame, time is Newtonian within the coherence σ This has significance in the reduction of the wave packet during a quantum transition [1]
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