Born reciprocity and the 1/r potential

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dc.creatorDelbourgo, Robert
dc.creatorLashmar, Darrel
dc.date2007-09-06
dc.date.accessioned2026-07-07T12:13:43Z
dc.date.available2026-07-07T12:13:43Z
dc.descriptionMany structures in nature are invariant under the transformation (p,r)->(br,-p/b), where b is some scale factor. Born's reciprocity hypothesis affirms that this invariance extends to the entire Hamiltonian and equations of motion. We investigate this idea for atomic physics and galactic motion, where one is basically dealing with a 1/r potential and the observations are very accurate, so as to determine the scale $b = mΩ$. We find that an $Ω\sim 1.5\times 10^{-15}$ Hz has essentially no effect on atomic physics but might possibly offer an explanation for galactic rotation, without invoking dark matter.
dc.description14 pages, with 4 figures, Latex, requires epsf.tex and iop style files
dc.identifierhttps://arxiv.org/abs/0709.0776
dc.identifierhttp://arxiv.org/abs/0709.0776
dc.identifierFound.Phys.38:995-1010,2008
dc.identifierdoi:10.1007/s10701-008-9247-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210943
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectClassical Physics
dc.titleBorn reciprocity and the 1/r potential
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