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Born reciprocity and the 1/r potential


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]


Copyright Statement

Copyright Springer Science+Business Media, LLC 2008

DOI: doi:10.1007/s10701-008-9247-8


Many structures in nature are invariant under the transformation pair, (p,r) → (b r,−p/b), where b is some scale factor. Bornís 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:Particle and high energy 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
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