And this hints at intelligent design how?
The basic train of thought is this: If properties of space-time take their origin from a pure mathematical object, then one can assume that space-time is a result of some intelligence as all mathematics apparently is. Wouldn't you agree?....
No and no, and this is demonstrably a false assertion leading to a false conclusion based on incorrect premises. Errors all 3 steps of the way.
Don't take this too critically, it's not uncommon for people to see evidence of God in places like math, quantum physics, the structure of the Universe, etc...
I am addressing your assertion of a logical proof and that neither have you provided, can it be done, or should it be done.
I never mentioned God in this new thread, only intelligent design.
So you don't agree that:
1) results of the experiments form a pattern that has a mathematical structure.
2) mathematics is a result of intelligence (consciousness)
I don't know how you see the Universe, but it sure doesn't look like a chaotic mess to me

I also thought that Garrett Lisi was right after all after reading about the quantum mechanics geometrical symmetry.
Intelligent design is idiotic. God made the cosmological constants, then the universe build itself and life!
In my view, God is not separate from its Creation (and is definitely not a bearded elder on a cloud), because there is nothing else except God to create out of.
As a way to distract you all from boring day-to-day stuff and mostly for its entertainment value I present you "Amplituhedron - A Jewel at the Heart of Quantum Physics":
https://www.simonsfoundation.org/quanta/20130917-a-jewel-at-the-heart-of-quantum-physics/Once again scientists have figured that complex interactions of particles in physical reality can be described by a single elegant geometric shape, which together with Garrett Lisi's E8 theory starts looking like a trend.
Simplicity is good. However, this reminds me of Goedel's Incompleteness Theorem stuff again, which, translated into "common sense" says that you can't fully describe a (non-trivial) system from within itself. If we could, just imagine the possibilities! A fully-functional scale model of the universe with miniature scientists making even smaller fully-functional scale models of the universe!? That's basically what these positivist attempts at a "theory of everything" boil down to.
However, all it takes is a slight change of thinking to realise that we
already have "fully functional scale models of the universe" inside our heads.
I've just found a wonderful explanation of how it can all work by Tom Campbell:
https://www.youtube.com/watch?v=-RMOGFaOLSQIt starts off by criticising existing scientific models of String Theory and Holographic Universe for their lack of wholeness (inability to explain the whole spectrum of phenomena instead of just physical reality) and various assumptions; and instead focuses on information and consciousness as the underlying true reality in which physical layer emerges as virtual simulated reality and serves as a playground for further evolution of consciousness. He also mentioned how emergence of Time was the next step in the evolution in order to explore new levels of complexity never possible before and how Process Fractals are the basic building blocks of this self-aware evolving system.