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.