Imaginary Sinusoidal Potential and an Astronomical Origin for K_Larrow π^+π^-

Details Imaginary Sinusoidal Potential and an Astronomical Origin for K_Larrow π^+π^- Imaginary Sinusoidal Potential and an Astronomical Origin for K_Larrow π^+π^-

Apr 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997aps..apr.m1109b&link_type=abstract

American Physical Society, APS/AAPT Joint Meeting, April 18-21, 1997, abstract #M11.09

Astronomy and Astrophysics

Astronomy

Scientific paper

A complex non-newtonian gravitational potential is proposed. Instead of Poisson's equation, φ satisfies the Helmholtz equation, nabla^2φ+k^2φ=4π Gρ, where ρ, a real function is the sum of the matter and antimatter densities. The posited solutions for a point source M are φ=-(GM/r)[cos(kr)± iξ sin(kr)] depending upon whether the source is matter or antimatter. Correspondingly the interaction energy with a field mass m is mφ if m is matter and mφ if m is antimatter. Re φ is reponsible for the classical effects discussed in the previous paper. Im φ has implications for quantum mechanics, particularly in providing an astronomical origin, our Galaxy, for the puzzling decay K_Larrow π^+π^-. The phase of the decay is that expected from an imaginary potential in the kaon's mass matrix. The observed amplitude of the decay demands that the strength parameter ξ~= 10-9. A simple modification of general relativity is proposed which can explain the observed independence of the rate on the laboratory momentum of the kaon as well as explain the null results in classical tests of the equivalence principle.

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