Born Reciprocity and the 1/r Potential
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≡ mΩ. 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.
- Publication:
-
Foundations of Physics
- Pub Date:
- November 2008
- DOI:
- 10.1007/s10701-008-9247-8
- arXiv:
- arXiv:0709.0776
- Bibcode:
- 2008FoPh...38..995D
- Keywords:
-
- Born reciprocity;
- Atomic physics;
- Galactic rotation;
- Dark matter;
- High Energy Physics - Theory;
- Astrophysics;
- Physics - Classical Physics
- E-Print:
- 14 pages, with 4 figures, Latex, requires epsf.tex and iop style files