I have a theory that our universe consists of a digital computer with a word size of 2 raised to the 16th power (65,536). The size of its memory, in bits, equals 2 raised to the power of quantity 2 raised to the 16th power (2 ^ 65,536), or roughly 10 raised to the 20,000th power. The software in its memory is running a computer simulation lasting billions of years (let's say it has 2 ^ 65,536 clock cycles to work with). The total no. of unique universes is a ridiculously large number, equal to the total possible no. of unique universes, all having 2 ^ 65,536 bits and 2 ^ 65,536 clock cycles to work with. This no. equals 2 raised to the power of the no. of bits in each universe's memory, or 2 ^ (2 ^ 65,536) = 2 ^ (2 ^ (2 ^ (2 ^ (2 ^ 2)))). Written on a blackboard, this number looks like a diagonally slanting stack of 2's, with 6 twos in the stack. Each of these universes has a different and unique initial configuration of bits in its memory, and each universe runs for 2 ^ 65,536 clock cycles.
I will now attempt to show that 2 ^ 65,536 bits and 2 ^ 65,536 clock cycles is sufficient time and memory to model our universe. Let's say for each iteration in the simulation's algorithm, all interactions between every possible pair of subatomic particles is computed. Our universe has very roughly 10 ^ 100 (10 raised to the 100th power) subatomic particles. So the no. of interactions between each possible pair of particles equals (10 ^ 100) ^ 2 = 10 ^ 200. Let's say for the sake of argument that it takes one billion clock cycles to compute each 2-particle interaction. Then each iteration would take (10 ^ 200) x (10 ^ 9) = 10 ^ 209 clock cycles. Now, I've seen it written that the shortest possible time period, according to quantum theory, equals 10 raised to the power of -44 seconds (one divided by 10 ^ 44 seconds). Let's say that the no. of iterations in the computer simulation algorithm equals 10 ^ 44 per second. That's (10 ^ 209) x (10 ^ 44) = 10 ^ 253 clock cycles per second. At 30 million seconds/year, that's about (10 ^ 253) x (10 ^ 8) = 10 ^ 261 clock cycles per year. Our universe is about 15 billion years old, so by now we've used up roughly (10 ^ 261) x (10 ^ 10) = 10 ^ 271 clock cycles. But we have roughly 10 ^ 20,000 clock cycles to work with, so we obviously have way more clock cycles at our disposal than we need to model our universe. Furthermore, if there are only 10 ^ 100 subatomic particles in our universe, 2 ^ 65,536 bits is way more than sufficient memory to model all those particles.
So that's my own personal Theory of Creation: a stack of six 2's, slanting up and to the right, being equal to the no. of all possible universes out there. And each universe has 2 ^ 65,536 bits (a stack of five 2's, slanting up and to the right), with a maximum of 2 ^ 65,536 clock cycles per universe. One advantage of this theory is that it does away with the need for a mystical Creator. All you need is a bunch of bits and lots of very powerful digital computers, with lots of clock cycles at their disposal.
Saturday, July 18, 2009
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