You are a kindred soul. Your mathematical view of the singularity, the infinity, speaks to the truth. A truth, I think your programing skills, will forever keep both local and non-local all within the same moment.
I especially was taken with you phasing that neither infinity nor truth is part of the human experience, sort to speak... A humorist and truth teller in one!
As the Cosmological Constant survives...
As we ponder, the physics of the universe(s), I just wrote the following that relates somewhat to you theme, or so I believe so: So I will share my draft with you. It is a paradox, which is our cosmological constant, forever and a day...
Motion equals Mass
Motion is Mass. So it goes that all things are in motion; so the idea of a massless particle is flawed exponentially so. Yet we keep asserting such particles, such as protons and gravitons, as massless? Show me a proton without motion and I will show you a world without form or electromagnetism, as we know it. It does not exist.
Now, I will surmise that dark matter and dark energy, may be of a motionless nature, which defies identification or form in a traditional sense. Such a motionless mathematical formula tied to our motion based world, may be the balance and genesis that makes sense, and will lead to new vistas of knowledge, along with a new vista of questions.
Time will tell.
Still, my presumption for dark matter and dark energy. Is just that. A random leap into the possibilities, without a scrap of knowledge, only presumptions for the speculative mind to ponder. More central to my theme is that Motion produces Mass, and we are captives to that mass based world... In all we do or know today.
Show me a massless particle and I will show you a measurement system that is lacking.
Further on this subject: Is that enigmatic world of a black hole, which, exudes to me, the impression of density so great as to imply no motion or the restriction thereof. However it takes the opposite to achieve a black hole, which has a motion quotient that is faster than the speed of light, to reflect its own existence. Hence once again, Motion equals Mass on a weighted particle scale relative to its motion.
So the question arises: At an ultimate Density, if that were possible, does motion cease. And if it ceases, what transpires at that moment? A Big-Bang, a new dimension, or even dark matter or dark energy?
These are the quests I find of intriguing interest.
All the very best to you,