10¹⁰⁰ : Roughly the number of elementary particles in the observable universe.
45 billion light year is radius of observable universe
18 billion light year is radius of what is reachable.
It means only 6% of observable universe is reachable
1 elementary particle/metre cube is the rough density of the universe. Pretty low.
Assume an information bit encoded using a particle. Fundamentally information is materialistic. Atleast 1 particle is needed to encode a bit of information. The max possible information possible with particles alone is 10¹⁰⁰ bits.
Now assume space by virtue of itself can encode information by some means. This is at the best a sketchy assumption. But just for the sake for argument, by some means space can encode information. (I just cannot fathom a continuous space with an infinite information bearing capacity. At some extreme level, it must become discrete and must devolve into something with a finite information bearing capacity. But I still cannot fathom “length” loses its meaning smaller than Planks length. If God created universe, universe must be in some sense of lower capacity than that of God. A creation cannot surpass the creator in some “complexity” sense. An infinite power creator should create a finite power universe)
Assume a metre cube of space can encode 10¹⁰⁰⁰ bits of information. This is unbelievably sketchy. The Planks length itself is 10^-35m. But just for the sake of argument, think that all the present model of particle physics is wrong and a new family of physics is discovered which enables a way finer, granular fundamental units of space and time. And as the density of universe is 1 particle per metre cube, and as there are 10¹⁰⁰ particles, implies the presence of 10¹⁰⁰ metre cube of space.
10¹⁰⁰ times 10¹⁰⁰⁰=10¹¹⁰⁰ bits of information. Assume the information encoding unit of space can encode 10 different states/unit. Then total information encoded by this model can be of the order 10^(10^(1100)) +10¹⁰⁰ bits, which is roughly 10^(10^(1100)) bits.
To put in perspective, to write the number of zeros of a Googloplex, ie, 10^(10^(100)) requires book of mass order of magnitude greater than the weight of the observable universe. So forget 10^(10^(1100)).
But the point is that such a big number 10¹⁰¹¹⁰⁰ is so huge but still finite. Any concept which has more complexity greater what can be represented requires another bigger universe.
If there is a God, by the definition, He must be a concept “unrepresentable” by the maximum representation capacity of the observable universe. Otherwise he is less of a God claimed by His followers.