Authors: John L. Haller Jr.
We explore the random motion of a quantum free particle and re-introduce an additional term to the textbook solution for the variance. Prior experiments could have missed this term yet it should be possible to test the hypothesis. A quadratic potential energy derived from the self gravitational potential of the particle is hypothesized resulting in the well known quantum harmonic oscillator in the special condition that the particle rests exactly in the ground state, i.e. hω0 = kBT Radiation is found trapped in this gravitational potential and when the particle carries the reduced Planck mass the density of radiation is exactly that of the black body. We argue this �dark� particle is responsible for the open question of dark energy and has a relic density of only 17% more than the commonly accepted value.
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[v1] 15 Jan 2011
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