So happy to see we are in agreement, Alex. Finally, someone with ideas aligned in similar fashion : - )
While I can point to work I discovered myself among the building blocks of math, I tend to point to Gödel who already showed us his Incompleteness Theorems a long time ago.
Many folks, according to me, apply the word incompleteness incorrectly. It appears that they point to the universe and declare it incomplete. As such, it may even make sense to us.
Yet the word incompleteness means that any foundation we start out from will end up being incomplete when applied to the overall level. The truths discovered cannot be used to come to a universal foundation, only a self-based foundation.
The universe is complete, that is not the point. None of the distinctive parts in our universe are based on a universal foundation. All are based on their own truths.
That means that the universe knows various foundations, indeed of different and distinct kinds.
It also means that we do not have a relationship with the universe -- it would not be possible.
The largest setting we have a relationship with is the Milky Way for certain, and we can then add as careful tenuous next step the Great Attractor, itself not a sustained reality other than our witnessing that this is indeed happening right now.
So, when we peer at the largest of levels, then we have two levels to deal with.
A: The Milky Way reality with relatively clear relationships for ourselves.
B: The universal reality with actually not all that much to show for other than the Milky Way indeed moving at its fastest speed in one singular direction through the universe (away from where the original materialization process occurred).
We can say that (from our perspective) there was an original Vase indeed, but we are now at best involved with one of the pieces of the Vase that broke some 13.8 billion years ago. The piece we call our own loudly and clearly declares that there is no relationship with the universe any longer except for pointing out where there once was such a relationship.
And so we do find another negative at the overall level: We find a broken condition at the universal level.
Thank you, Alex, for having similar thoughts. I recognize you are coming from a different direction, but it appears you are reaching similar conclusions. I love it.