Very Large Number

The 2 ^ 65,536 bits in the M(5) computer hosting the computer simulation of our universe is far more data capacity than is needed to host that simulation. Also, if we impose a time limit of 2 ^ 65,536 clock cycles, that's far more time than is needed as well. Let's say for each iteration in the simulation's algorithm, all interactions between every possible pair of subatomic particles are computed. Our universe has very roughly 10 ^ 100 subatomic particles (it's actually closer to 10 ^ 80). 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 (roughly 10 ^ 20,000) is far more memory than we need to model all those particles.