Cosmological Photons

Assumed: photon has electric dipole moment P (Ref. 1) normal to its spin, rotating at photon frequency f, radiating classically. Then: hdf$/$dt = cdf$/$dx = -[4($\pi ^{3})/$3] ($\mu /$hc) [(f$^{2}$P)$^{2}$]; c: standard light speed; x: photon distance from source; $\mu $: vacuum magnetic permeability; h: Planck's constant. Earlier shown (Ref. 2) from Hubble's data: (P'$^{2})$(f'$^{3})$ = 8.8E(-39) S.I.; f': photon emission frequency; P': P at emission. Observations of type Ia supernovae and the present study (Refs. 3,4): there must be a relation between P and f; simplest is P$^{2}$ = Q(f$^{n})$. Q: fitting constant; n: any real number. Comparison of normalized luminosity distances and theoretical coordinate distances gives n = -1.53, with standard deviation 0.013. Speculation: finite graviton half-life T limits general relativistic relations to a sphere of radius cT/2; the universe is infinite and nonexpanding. \newline \newline 1. N. Fortson, P Sandars and S. Barr, \textit{Physics Today} $56$, 33 (June 2003). \newline 2. R. B. Driscoll, \textit{Physics Essays} (in press). \newline 3. A. G. Riess \textit{et al.,} \textit{Astrophysics Journal} \textit{687}, 665 (2004). 4. R. B. Driscoll, \textit{Physics Essays} (under review).