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Showing posts from May, 2021

what are macro and microstates?

 So what are macro and microstates? My favorite way of explaining this is through rolling a die. Whenever you play some sort of board game, you continuously roll this little cube, and it somehow tells you what to do. The macro and microstate is a way of building up this phenomena, of a little cube telling you what to do, from first principles. Our first step is to “construct a space” that can represent the phenomena you care about mathematically. This usually entails what's called a state space. This isn’t a real, physical thing, its abstract space. Each point in the space encodes some configuration, some state,  that the system can be in. So  let's think about the state space of a rigid cube falling on to a table. There are multiple ways you can do this, but in our case it will each point represent a single trajectory of the die. You release it at some point in space, and it tumbles down onto the table, eventually coming to rest.  We are considered space is all the possible wa

The Dialectic is Dead

Introduction We’ve all gotten caught in an internet debate. It’s not fun, at least personally speaking.   As a kid, I was enamored with the intellectual promise of the internet. I watched Wikipedia, Youtube, Google and other platforms mature in front of my eyes, so I naturally bought into the quixotic dream of the internet’s founders.  They envisioned a creative and productive collaboration environment, a place for the world to come together and start putting nails into the proverbial coffin of our problems. This obviously did not happen. Nowadays, the internet can’t find consensus on the most trivial of issues, much less world peace. It’s become a dopamine slot machine with ads between pulls. It’s a mess of anger and division and misinformation. So it’s clearly in our best interests to figure out why this all happened, and why it persists.  The old guard of internet optimism will be moving on soon, so young people like me must take responsibility for this vision. As such, I think a co