You may be right, that I have a contradiction. It may be due to my own sense that the Lambda-CDM may be self-contradictory. I am sorry I can't easily point to descriptions of the Kinematic model on the internet. It seems to have very few vocal contemporary proponents. E.A. Milne wrote two books on the subject; The first was called "Relativity, Gravitation, and World Structure", and the second called "Kinematic Relativity". I have done some of my own descriptions of the Kinematic model, but it hasn't quite caught on: Here is a video called "SN1a Data, Minkowski Style" which considers the implications of the coordinates and redshift/distance relations found by the High-Z supernova team in a Kinematic Universe. Also, after my post #49 above, I decided to write a more complete calculation of the temperature necessary to achieve "inflation" in the primordial universe. https://www.researchgate.net/public...Cosmological_Inflation_in_Minkowski_Spacetime These consideration of temperature of the primordial gas helps to explain how it might be possible that distant galaxies did not leave the r=0 until well after the big bang.