Foundations of Physics

, Volume 38, Issue 11, pp 995–1010

Born Reciprocity and the 1/r Potential


DOI: 10.1007/s10701-008-9247-8

Cite this article as:
Delbourgo, R. & Lashmar, D. Found Phys (2008) 38: 995. doi:10.1007/s10701-008-9247-8


Many structures in nature are invariant under the transformation pair, (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 bmΩ. We find that an Ω∼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.


Born reciprocityAtomic physicsGalactic rotationDark matter

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.School of Mathematics and PhysicsUniversity of TasmaniaHobartAustralia