the center of the sphere increases the density of neutral atoms, almost exponentially. The increase of r decreases the path in excited atomic hydrogen across to radius R, along which the frequency is decreased. This gives Fig- ure 1a. The global increase of frequency showed in Figure 1b results from the path of light in a region outside the sphere where beams of high radiance similar to those seen in the form of ring transfer energy to the spontaneously emitted light. 

[1] A. Einstein, Verh. Deutsch. Phys. Ges., 18 , 318 (1916); Phys. Z. 18 , 121 (1917). 

[2] D. H. Menzel, PASP 43 , 70 (1931). 

[3] E. Michael, R. McCray, R. Chevalieret al., Astrophys. J., 593 , 809 (2003). 

Conclusion. Michael et al. seek an explanation for the large redshift in a spectrum of SNR 1987A. The intro- duction of coherence corrects their work, cutting their computed huge peak intensity. The introduction of co- herence strengthens their search for an alternative to the standard explanation of large redshifts, so to the Hubble law, putting into question the basis of the theory of the big bang. 

[4] M. Planck, Verh. Deutsch. Phys. Ges, 13 , 138 (1911) 

[5] A. Einstein & O. Stern, Ann. Physik, 40 , 551 (1913) 

[6] G. L. Lamb Jr., Rev. Mod. Phys. 43 , 99 (1971). 

