Delbourgo Born reciprocity.pdf (176.98 kB)
Born reciprocity and the 1/r potential
journal contribution
posted on 2023-05-17, 23:42 authored by Robert DelbourgoRobert Delbourgo, Lashmar, DAMany 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.
History
Publication title
Foundations of PhysicsVolume
38Issue
11Pagination
995-1010ISSN
0015-9018Department/School
School of Natural SciencesPublisher
Kluwer Academic/Plenum PublPlace of publication
233 Spring St, New York, USA, Ny, 10013Rights statement
Copyright Springer Science+Business Media, LLC 2008Repository Status
- Open