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sharpnova

Joined on 2/19/05

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sharpnova's News

Posted by sharpnova - June 1st, 2024


I get a message at least once a week asking me to explain something about black holes.


Maybe half the time I can answer the question in a way that's satisfactory to the asker. But the other times, it ends up boiling down to the fact that more than any other physics theory, it goes hand-in-hand with the math. GR is difficult.


Please learn Differential Geometry. I get a lot of horseshit responses like "if you can't explain it to a five-year-old, you don't understand it" This is unrealistic horseshit. It would sure be nice if everything were simple enough that this facile bullshit were true. But there are many things for which it is not. Also it depends on the level of understanding you want to have and the "explain it to a five-year-old" level of understanding is generally not what the geriatric 40-year-olds that make up most of NG's population are looking for when they reach out to me.


You need to be comfortable with four-vectors, there are lovely clifford algebra texts you can get great mileage out of without needing to know anything beyond the elementary levels of ordinary differential equations and undergrad linear algebra. Tensor analysis is important to apply the Differential Geometry to curved spacetime.


Read John Lee's intro to smooth manifolds


And then the follow-up texts on topological and riemann manifolds


And also (in parallel or before) bishop's tensor analysis book is great.


And if these texts (which are introductory and fully intended for undergrad consumption) are too difficult, then the prereqs are too much and you should settle for a more smooth-brained grasp of GR, which you can get from laymen texts by guys like michio or brian green, etc.


Going forward, I'll be referring most questions to this post.


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Posted by sharpnova - October 20th, 2023


And this rubs some people here the wrong way.


And that does nothing to dissuade me in my march towards my goals, nor could it.


Nor could it.


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Posted by sharpnova - September 19th, 2023


This gets under many people's skin. Especially here on NG, where I'm regarded as a rebel, a genius, and a badass.


This, however, does absolutely NOTHING to stop the forward march of my mysteriously incredible mind.


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Posted by sharpnova - July 31st, 2023


give me an EXP-complete algebra and i'll show you a degenerate spectral sequence. (not based on a known cohomology; a perfectly non-trivial zero of the subspace of spectral sequences that just happens to have degenerate splines)


if i can't, i'll pay you .25 BTC and just know that bijections on spectral sequences and any abelian ring are verifiable in polynomial time. so if i suggest something wrong, you'll be able to prove its wrongness with more or less zero effort.


1

Posted by sharpnova - January 18th, 2023


my pronouns are this / that


please use them accordingly as I decide what my identity is. not you.


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Posted by sharpnova - January 1st, 2023


who wants to team up and generate a bunch of diffusion matrices/operators for easy problems


3

Posted by sharpnova - December 23rd, 2022


I have one of those intellects you always hear about.


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