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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

David's Buttcrack

a darkened tinge of orange the screen dots dance so soft eyes relaxed and backs untaxed we lay here, on the bedspread forgot the world beyond the glass tap tap, tap tap, it loves me do I love it? I guess I did. It's in my hands, regardless ---------------------- there's tension in my shoulder blades as I type the text you read here you feel the tingle down my spine when I tell you how it feels. oh dear, i fear you've come to near a poet with his people. I swear the day we come to bear you'll know me more than i do ---------------------------- I see the sea so near to me horizontal lines soon broken mondrian v. adrian the sage man's songs forgotten The pier of madness  picasso's one floodlights caught me fishing I wish the day would come to bear where I caught it and it liked me ------------------------------ a decent day it's one to play I tried to and I didn't a sun so bright it saps the light right out me and I hate it --------------------------- "

What is an Isomorphism and why should you care?

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An Isomorphism is the mathematical concept that generalizes ‘equality’.   ‘Equality’ is just as it was presented in middle school, there is an equal sign and an expression on each side. Like so: 3x = y This means that 3x is precisely equal to y. Anywhere you see 3x you can substitute y, and vice versa.  But this type of equality, while intuitive, is constraining. In reality, we see things that are the ‘same’, but not precisely. You might really want to say that these things are equal, but they don’t satisfy our intuitive definition, ie. you can’t switch one out for the other willy-nilly. For example, the Golden Gate Bridge in San Francisco and the George Washington Bridge in New York. These are both clearly bridges, so they are the ‘same’ in some sense, but not exactly. You can’t magically change the Golden Gate Bridge to the George Washington Bridge, they were specifically designed to be built in one place.  So can we capture this equivalence? What does it actually mean to be a bri

Group Psychology of the r/WallStreetBets Short Squeeze.

A “short squeeze” is an adversarial trading technique where a firm buys a stock that another firm has shorted. When the stock price subsequently rises, the short seller must buy back the stocks it shorted at a higher price (further boosting the price). The results in a positive feedback loop, ultimately meaning huge losses for the short seller (and gains for the attacker) [1][2] This is an advanced market manipulation technique used by large hedge funds to screw each other over, mostly because the aforementioned feedback loop requires a lot of capital to trigger. However, in January 2021, a small group of retail investors rocked the market by successfully short squeezing GameStop (GME), resulting in major losses for high profile hedge funds. [6] This group of investors congregated on r/wallstreetbets, a brash Reddit forum dedicated to risky investments [11] . In early January, forum leaders noticed many hedge funds had huge short positions on GME. Realizing the possibility of a short s

Some poems, why not?

  Hi all, please enjoy a small selection of poems. -Adrian Procrastination Station Train is here Whistle's blowing All have sat no longer stowing Earbuds in Mellow static Shifting seats eyes erratic Table down Laptop on Were still stopped Must go on No no no Conductor calls Sorry folks We must stall Why why why Says man beside me Conductors balks Why so whiny? Meeting soon... I can't be late We'll cut it close At this rate But Time flies by And All still still I must move it by sheer will I huff and puff My knuckles crack Why so hard? This train has tracks? I hang my head Been here all day What to do? I still should stay Or catch the next? A real temptation Shouldn't have stopped At Procrastination Station Tools for Minds I miei strumenti sono le mie mani, Le mie mani sono la mia mente, La mia mente รจ il mio "io" Ergo io sono lo strumento A stay from chaos a moment of stay the chaostic play Faustian throes throw me lonely and Frostian forests just comfort the

Why Mediate? (feat. the Flobots)

“I can ride my bike with no handlebars. No handlebars... No handlebars” What is meditation and why should you try it? I think the answer lies in the 2005 hit song ”Handlebars” by the Flobots. To those who have heard it, this might sound like a terrible metaphor. It’s a manic, almost stressful song of self-aggrandizing delusion. It features lyrics about all the amazing things the singer can do (like “ I can make new antibiotics”, and “I can do anything with no resistance” ), interlaced with a catchy and comparatively calm hook (quoted above). However, the song (intentionally or not) perfectly describes meditation. Let me explain. Whenever I sit down to mediate, I look at a little notecard with the words “Shake the Narrative” scrawled in red sharpie. This sets my intention for the session: to quiet the constant commanding chatter of my executive mind. I try to sit for 10 minutes and stop the incessant planning, self-flagellation, and judgment. I lose control and watch what happens… in ot