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My notation (td) means (time changes)
I’ll have a think about the table. I’ll need go through it to think if there is a better way of notating the rest but at the moment i cant really understand why you’ve done what you have.Can i suggest you write this up to go in an appendix and we move on, perhaps something further on will feed back to this and make it clearer for me.EDIT: just to explain. You have an understanding of how your 3 different time systems work and they don’t work as per conventional physics, so Alan & i need more information before we can understand how all this works. Hopefully that will come as we progress and at some stage we can revisit this.
@alancalverd Can I ask please if you had a look at those 3 arXiv papers on contracting scenarios by professional theoretical physicists, that I posted to you earlier this thread?
The difference of gravitational potential between the source and observer IS the 'intervening field' surely?And in a universe that is contracting under the influence of gravity, this intervening field of gravity potential between source and observer is not irrelevant.
@alancalverdInvestigation into the concept of a contracting universe has been explored under various premise:By Christof Wetterichhttps://arxiv.org/abs/1303.6878 Here in the form of a pre-big bang contraction by Thorsten Battefeld, Robert Brandenbergerhttps://arxiv.org/abs/hep-th/0406180And more recently here with regards to black holes by Jerome Quintin, Robert H. Brandenbergerhttps://arxiv.org/abs/1609.02556In case, as a latecomer, you have not realised, I was asking about the mathematical consideration b/c I am, following both @Colin2B and @jeffreyH advice, currently improving on my paper that I am trying to submit with arXiv scientific journal.
Yes - I did notice that the company who web hosted my PDF deleted it, but I'm sure I actually posted those particular 3 arXiv papers in a post specifically addressed to Alan. I will now go back and see if I can find it.
But it does concern me that you haven't fully understood why the g field between source and observation is NOT irrelevant in a universe that is slowly contracting under the influence of gravity, so before I get back to my laptop later and post the next portion, I'll have another go at this.