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Born reciprocity and the 1/r potential
Citation
Delbourgo, R and Lashmar, DA, Born reciprocity and the 1/r potential, Foundations of Physics, 38, (11) pp. 995-1010. ISSN 0015-9018 (2008) [Refereed Article]
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Copyright Statement
Copyright Springer Science+Business Media, LLC 2008
DOI: doi:10.1007/s10701-008-9247-8
Abstract
Many structures in nature are invariant under the transformation pair,
(p,r) → (b r,−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 ≡ m
. We find that an
∼ 1.5 × 10−15 s−1 has essentially no effect on
atomic physics but might possibly offer an explanation for galactic rotation, without
invoking dark matter.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Research Division: | Physical Sciences |
| Research Group: | Atomic, Molecular, Nuclear, Particle and Plasma Physics |
| Research Field: | Particle Physics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Physical Sciences |
| UTAS Author: | Delbourgo, R (Professor Robert Delbourgo) |
| UTAS Author: | Lashmar, DA (Mr Darrell Lashmar) |
| ID Code: | 90540 |
| Year Published: | 2008 |
| Web of Science® Times Cited: | 4 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2014-04-09 |
| Last Modified: | 2017-11-29 |
| Downloads: | 549 View Download Statistics |
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