@ David MacMillan, your last two posts are excellent. Here are my most recent thoughts, with a clarification of an earlier post.
My previous post is probably two complicated, and it’s entirely possible that Dr. Lisle isn’t doing what I claimed he is doing. As I said in an earlier post he is misapplying the conventionality thesis when he changes reference frames by moving the origin to a distant event, and changing synchrony conventions by changing ε’ to zero. Here is another version of that post with more English and less math that is hopefully clearer.
He specifies that the earth is located at the origin of his reference frame and that ε’ is one. This can not change as he analyzes the the supernova problem. If it does, he is guilty of the same error that novice students of Special Relativity make while using the Lorentz transformations to analyze simultaneity for a moving train passing through a train station. They often use the station reference frame and coordinates to explain what a passenger on the train sees. But they must use train reference frame and coordinates to analyze simultaneity on the train.
This is the only correct description of the reference frame and synchrony convention that Dr. Lisle claims to be using throughout his paper.
(ASC time at a distant location) = (ESC time at the same distant location) + (distance to location) / (two way speed of light) or
- t’r = tr + |r| / c
At the origin, the ASC and ESC clocks are co-located, so their separation is zero.
So (distance to location) / (two way speed of light) = 0, or mathematically, |r| / c = 0 and (ASC time) = (ESC time) or
- t’0 = t0
As he describes in his paper, ESC is isotropic. That means that all the clocks in ESC always have the same reading, period!
- tr = t0
At the moment of creation the ESC clock at the origin, the ASC clock at the origin, and every ESC clock located throughout the universe reads zero. Every other ASC clock reads (ESC time at a distant location) + (distance to location) / (two way speed of light). This is reflected in equation 1. If he wants to spread creation out over some arbitrary period of time, then at the end of creation equations 1, 2, and 3 must be the same as shown here. If they aren’t, then he is violating the conventionality thesis.
So any time he sets a distant clock to zero, he must subtract the same offset from all the clocks in the universe, ASC and ESC alike. Otherwise, he violates equations 1, 2, and 3. When he does this correctly, he will see that the ASC and ESC clocks at the origin, earth, have the same negative reading. This always means he has moved the universe back in time to before creation occurred. But he’s trying to claim that he can move the origin to the distant event and change ε’ to zero without violating the conventionality thesis, which is completely incorrect.
So whenever you see a post claiming that he can change a distant ASC clock to zero without adjusting the ASC clock at the origin to the same negative reading as the ESC clock at the origin, he has violated equation 2 and is not correctly applying the conventionality thesis.
Hopefully, Dr. Lisle will address this error in his application of the conventionality thesis. BTW, I wonder if ABC is another pen name. 
Gene
