It's based on what I know of mainstream science and its internal consistency. If you call that "belief based", then yes, it is.
And please no abuses, no calling names like intellectually dishonest.
I'll do my best to refrain from "abuses" and "name calling" if you do your best to refrain from being "intellectually dishonest". Deal?
I have very frankly admitted that I may be ignorant about any such accounting for,
So you have no idea what mainstream science says in this? Why don't you look it up then? Why do I have to do your homework?
since you are claiming such calculations exist,
If I have done that, that was a mistake. They certainly may exist; I don't know of them though, and have spend no effort looking for them, or producing them myself.
then show it. Since you admitted that your statement is "most likely is", so obviously you cannot show it.
Right now I can indeed not show it. I however have made an argument that it has to be that way, unless the unaccounted-for energy either magically disappears or is radiated away in some fashion. This argument is based on the principle of conservation of energy, with which both GR and QM are compatible. In other words: all mainstream science based calculations will show this argument to work.
I have given my argument why I'm pretty sure this energy will turn out to be accounted for. I have already given you two reasons why simply comparing (rest) masses is not acceptable in this scenario. I have already given you a very good argument that nothing special happens at or around the event horizon according to a particle falling into a black hole. You however seem to reject/ignore all this on no valid grounds, to return to your claim without any evidence.
How in your mind is my argument in favor of mainstream scientific consistency, backed by admittedly hand-wavy, but valid argumentation not stronger than your invalid comparison of rest masses?
My claim is based on simple premises that such accounting for is not present in mainstream,
Please show the calculation or derivation that states that the mainstream accounting is wrong. The absence of this accounting is not evidence of mainstream being wrong.
your claim is that it is.
No, I am doubting your claim by showing that mainstream science cannot make such a claim and remain consistent. In other words, my refutation is that mainstream science cannot claim this(, unless the unaccounted-for energy either magically disappears or is radiated away in some fashion). I trust/belief that mainstream science will be shown to be internally consistent in this regard.
That is why I can be so certain of my correctness. Because if I'm wrong, you (or whoever shows this to be the case) can go to Sweden to pick up your Nobel prize.
So why not dig out any reference and prove me wrong/ignorant.
Why don't you? I mean, you're the one asking about all this, right?
Making a statement that, it most likely is, is not sufficient.
You said in your very post: "that I may be ignorant about any such accounting for". Even if my argumentation is insufficient, yours is even more so.