This is what I can't seem to communicate to you guys.
You're communicating just fine, except for the part where you listen to things that are said to you. The problem is not that you're failing to explain what you believe. The problem is that you're trying to
foist that belief unilaterally where it doesn't belong, and your critics are rightly forbidding you from doing that. So long as you're working with P(E|H) you must use E and H as they are formulated. There are no souls in E or H. There is no reincarnation in E or H. No matter how strongly you believe your sense of self is the product of an immortal soul, you can't include that when reckoning P(E|H).
We all sense a kind of identity--
Yes, this is E.
...that many of us would like to be immortal.
And that is wishful thinking. It's not part of E. It's not part of H. You may include it in ~H once you get around to deciding what that is. But your desire to be immortal can't taint your evaluation of P(E|H). E does not imply immortality. H does not allow immortality.
Mostly, scientists don't believe that this identity we sense can be immortal, because they believe it's entirely physical.
Correct. Since H explains E as a property of the physical organism, when the physical organism is present and viable the property is necessarily present. When the organism is not viable, the property necessarily disappears. That's what it means to be a property.
That hypothesis could be wrong.
And you said you could
prove it was wrong mathematically. Your proof to date cannot do that because, among other fatal errors, it begs the question that such a thing as a soul exists and because H cannot explain it, H must be wrong. How many times must circular reasoning be explained to you before you start listening?
Your critics are not asserting that H cannot possibly be wrong. They are reminding you that you must reckon P(E|H) as if H were true, which you have not been doing. You've been polluting E with speculation as to cause, and you've been attaching to H straw-man features it doesn't contain. And no matter how many times this is explained to you, you seem not to get it. The communication problem you're experiencing is your unwillingness to listen.