Hi Jason,
You've made some very astute statements. First you point out that "one particle is its own reference frame." Peter has quoted Einstein above saying much the same thing, and you can look at the figure on page 6 in my essay to see how this fits my theory.
But my favorite of your comments is:
"...redshift reduces the frequency, and therefore reduces the information content that is being carried..."
I hadn't thought of that. I asked on another thread, months ago, just exactly when it became gospel that information is never lost? I have quantum mechanics texts from the 1930's (Dirac) to the 1980's (Sakurai) and QED and QCD texts from the 90's and 2000's, and I don't recall seeing in any of them that 'information is never lost'. No one answered my question.
But assuming this to be the case, you then cover this case by saying:
"But if the photons are again blue shifted, that should recover the information content."
Jason, that's a great statement, but it begs the question: Where was the information stored in the intervening period? Do you have a mechanism in mind, or an opinion as to a possible storage mechanism that does not operate faster than the speed of light?
By the way, did you read that somewhere? You seem to have thought of it right off the bat. I don't think I've ever read it, but it's obvious once you think of it.
Also, consider a photon that's never been red-shifted, but then falls into a hole. As it is blue-shifted, then information must be being created.
I've more comments, but I'm interested in your remarks. I'll probably post a summary of this on my page, as it fits well with where I'm going.
Thanks again, and good to see you.
Edwin Eugene Klingman