[deleted]
Pentcho Valev,
On August 9, 2012 I already answered your question concerning that quote (see above):
"Your quote is from a paper exploring the possibility to interpret spacetime curvature as spacetime anisotropy. Such an interpretation was ruled out since it leads to contradictions with the experimental evidence. The gravitational redshift is discussed in Sect 7.7 of my book Relativity and the Nature of Spacetime, 2ed 2009."
Of course, it is you who decides what your views on anything should be and whether you are interested in what others think about your views. In case you are interested in what I think, here is a friendly advice - see the whole picture (not just fragments that you seem to misunderstand) and move forward. As seen from the quote you gave, like most people I also checked different ideas, but immediately abandoned them when discovered that they contradicted the experimental evidence; as a result I have much better understanding and know that those ideas have been tested and proven wrong. In case you think some of the things I have written might be helpful to you, my email address is given above and you can contact me. I have nothing more to say.
Good luck and all the best for the holidays,
Vesselin Petkov