## On cellular automata as a vehicle for exploring the foundations of physics and the Standard Model

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... math & more.

Temporary post, under construction.…

On Facebook, in response to this article that's been circulating today for some inscrutable reason, one A. Melaragni said: Apparently the guy is just talking about our own galaxy; there are BILLIONS AND BILLIONS of galaxies in the universe. Not to mention that even if other life doesn't exist in…

Three new recent discoveries. First, it turns out that you can generate a complete list of primes in the following fashion. Using %n% where %p + q = 2n%, let %n = 2% and find any Goldbach partitions %p, q%; if %max(q in bb Q)% is not in set %bb P%, add…

This is something I worked on a year ago, so I'll keep it (relatively) brief. Inspiration There's a keypad on my apartment building which accepts 5-digit codes. One day on the way in, I started thinking about how long it would take to guess a working code by brute force.…

As usual, the main ideas here are wildly speculative, written down as food for thought. I am not claiming to be a cosmetologist or astrologer. For the purposes of this post, let's suppose that the universe is ultimately discrete. By this, I mean that when you get down to its…

I've been trying to visualize the problem in many different ways, tables and graphs and geometry and anything else that seems plausible. Here's one I nailed down this morning that's concise and readily graspable for any coder. First, ignore the %2%. It just gets in the way. And then we…

This is a quick story about today's thing that I discovered that is already in Wiki. I must be up in the triple digits at this point. That said, this is one of the more obvious ones. I was reading a thread about which sorting algorithm could be considered "…

So here's how I went down the information theory rabbit hole this morning. How much information is in a bit? You might say '%1% bit.' I am inclined to agree. How much information is in two bits? My answer: it depends. Disregarding any other considerations, and on average,…

The birth of Skynet A couple of years back, I wrote a little program named Skynet. It uses a configurable set of assembly-like instructions to spawn tiny programs, cobbled together completely at random. The original idea was to be able to feed it a set of input and output integer…

Shit, I made the mistake of thinking about them, and now I'm back on it. We'll try the opposite tack this time, though: proving that it's impossible to solve in polynomial time. Stream of consciousness begins: Consider the unconstrained case where %S% is the set of integers provided, of finite…