Trying to re-group and present my premises for your objections:
That's all you do, every day. If you ever want to move beyond first principles, you need to start paying attention to the objections you were already given and addressing them rather that just starting from Square One every single day for years on end.
There is such a ‘thing’ (process?) as consciousness.
Under H consciousness is a process, not a thing. You've been warned countless times against trying to conflate them if you're talking about H.
Consciousness naturally brings with it a “self” (or, “sense of self”).
Under H "consciousness" and "self" and "sense of self" are just different words for the same phenomenon. The separation or distinction you allude to here is not a part of H. "Consciousness" emphasizes its nature as an ongoing process. "Sense of self" emphasizes the product of that process as an emergent property.
“Self” being the experience that reincarnationists believe returns to life.
"Experience" under H is just another word for the phenomenon you mention in the previous section. When speaking about H, what reincarnationists may or may not believe is irrelevant.
There is such a thing as a potential selves – before we are conceived, we are potential selves.
There is no such concept in H.
There must be an infinity of potential selves.
Not applicable under H.
Scientifically speaking, each self can have only one finite life -- at most.
A consequence of the materialist hypothesis is that life is singular and finite, yes.
Scientifically speaking, the likelihood of my current existence must be about 7 billion over infinity (there being about 7 billion humans currently existing on the earth).
In the strongest possible terms, no. The materialist hypothesis embodies none of the nonsense you are invoking to cobble up this division.
In other words, the likelihood of my current existence – given the scientific hypothesis -- is virtually zero…
No. Division by infinity, where it is defined, is defined as zero, not "virtually zero."
My current existence is therefore evidence that the scientific hypothesis is wrong.
No, because your formulation of the materialist hypothesis is a straw man.
But that’s actually quite simplistic…
Both simplistic and wrong.
What if other things -- or empty space -- have/has consciousness?
The materialist hypothesis allows for entities other than humans to exhibit the emergent property of consciousness.
What if science is only at the beginning?
Vaguely disparaging science doesn't fix the problems in your argument.
My current existence seems pretty fertile in light of what we know and don’t know.
What we know on the basis of well-developed evidence is that the sense of self is an emergent property of a functioning brain. You speculate that it is something else, but you cannot prove it.
I'm trying to develop a map.
Nonsense. You're trying to prolong a discussion you lost long ago by simply stonewalling against criticism. The post I just finished writing is identical to three or four posts I've already written for your behalf. There is no further need for you to solicit objections. You've made the same statements over and over again for years, paying not the slightest attention to your critics' objections. It is silly to believe you will suddenly start doing so.