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Born reciprocity and the 1/r potential

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posted on 2023-05-17, 23:42 authored by Robert DelbourgoRobert Delbourgo, Lashmar, DA
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.

History

Publication title

Foundations of Physics

Volume

38

Issue

11

Pagination

995-1010

ISSN

0015-9018

Department/School

School of Natural Sciences

Publisher

Kluwer Academic/Plenum Publ

Place of publication

233 Spring St, New York, USA, Ny, 10013

Rights statement

Copyright Springer Science+Business Media, LLC 2008

Repository Status

  • Open

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Expanding knowledge in the physical sciences

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