Note: Ideally, for context, the short story Immortality should be read before this one, although it is not absolutely necessary.
Editor’s note: This paper was written by Philip Berg when he was only 10 years old, demonstrating his appetite for math at an early age. This is an exact replica of the paper from his archives, as certified by Ann S. Teaseya.
In this paper, I want to walk you through a mathematical look at the concept of God. The purpose of this is NOT to prove or disprove the existence of God, but rather just to exercise our thinking.
Let’s start with the number of atoms in the visible universe, estimated to be 10^80, which is 10 to the 80th power, which is a 1 followed by 80 zeros:
Now as we understand God, he would have to be aware of each of those atoms. Not only that, he would have to be aware of them at every moment of time and to remember them for all time. So, given that our best understanding of quantum theory is that the concept of space and time break down when you try to go smaller than 10 to the minus 43 seconds, and if that applies to God, then for him to remember one second of the visible universe would mean that God would have to remember the state of each of the 10^80 atoms for 10^43 Planck units of time, which would be 100 followed by 80 + 43 = 123 zeroes. I’m not going to write those out, but welcome you to give it a shot.
Just to add a little perspective, a computer the size of Earth working continuously for the age of the Earth (about 4 billion years) would process a number of bits equal to about 10 followed by 93 zeroes. Any number larger than this is known as a transcomputational number. So, any mathematical concept of God has to involve transcomputational numbers.
Continue reading God and Math (a short story)