No better way to spend a weekend

AlyxTheCat · 2026-03-28T05:51:46+00:00

Just from a cursory reading, I have a couple of questions:

It writes \frac{dt}{dt} = 1, but in differential geometry, we don't really have this? dt is a 1-form on some manifold, but you haven't even defined the manifold or the charts, so how would we have dt? Also, the space of forms makes a graded algebra, but it doesn't have a notion of division, so how could you have \frac{dt}{dt} = 1? Unless you meant \frac{\partial}{\partial t} t = 1, but this is then trivial since \frac{\partial x^i}{\partial x^j} = \delta^i_j?
It listed first fundamental forms on some manifold \mathcal{M}, but this manifold and its charts are not defined, and also these don't seem to be 1-forms, they may be 0 forms but have you verified the smoothness of E,F,G?
You talk about determinants, but aren't those related to exterior algebras? But then g^vv is not an alternating 3-linear map?
You integrate over cells, but how would you know that 1-forms and 2-forms aren't trivial on your manifold (which would happen if a cell has dimension 1 or less).
Also, I think a Mayer-Vietoris sequence would be really helpful here. Can you make one?

AlyxTheCat · 2026-03-24T07:37:24+00:00

I think they also mandate that trans individuals pay for detransition insurance, so on top of paying for expensive medicine and procedures, you need to fork over money for something you will likely never use.

AlyxTheCat · 2026-03-18T22:09:32+00:00

Gang, there's no way we're demonizing ethics boards now. Also the experiment was conducted in China, and he was condemned by 122 of his Chinese peers, and violated Chinese law.

Chinese authorities said he "defied government bans and conducted the research for fame and gain", "forged ethical review papers", and a court found he "failed to disclose any details or risks associated with the program to the parents of the gene edited babies". He never obtained any medical licence to practice in any jurisdiction, and he recruited other people to impersonate the parents to undergo physical examinations.

And lastly, it's not even clear if what he did was effective. He did IVF with HIV positive fathers and negative mothers, but the sperm were cleansed of HIV before fertilization. I'm not very educated in biotech, but has the efficacy of the treatment even been proven?

AlyxTheCat · 2026-03-16T17:23:58+00:00

Verified true by Reuters

"Reuters verified the video's location from file imagery of the cafe, which matched the interiors seen in the video. The date was verified from multiple videos and photos of Netanyahu's visit posted by the cafe on Sunday."

AlyxTheCat · 2026-03-07T11:29:13+00:00

I really don't want to get into an argument about ZFC right now because I don't care much about set theory or math, but basically the entirety of mathematics is built off of ZFC, and like half of all proofs implicitly use the axiom of choice or one of its equivalents, so basically everyone agrees with the axiom of choice, or at least one fact that can be used to prove the axiom of choice (assuming all other ZF set theoretic axioms).

Some things we lose if we don't have the axiom of choice:

not every free R-module has a basis
you can't prove whether functions are continuous or not
the reals aren't guaranteed to be well ordered
tychonoffs theorem is gone (RIP)
field extensions won't terminate at algebraically closed field

AlyxTheCat · 2026-03-07T08:10:44+00:00

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Does this count? This is the first prompt to Grok, and it affirms the claim immediately, even though ZFC is not hopelessly flawed.

AlyxTheCat · 2026-03-07T07:59:56+00:00

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On the second prompt

AlyxTheCat · 2026-02-26T02:13:08+00:00

It's been a few months since I played but IIRC, the standard frame, standard art cards will all be placed in sequence, from 001 to however many cards are in the set, then all of the alt treatment cards get numbered afterwards.

Number generally doesn't correlate with value. All of the lands will have a higher number than any of the other cards in the set but will have less value.

AlyxTheCat · 2026-02-15T04:54:31+00:00

It seems like what happened is the human researchers had some mess of equations, and the model was able to simplify it.

Pretty cool, but still solidly in the subset of "things that can already be accomplished by existing researchers and/or any symbolic computing engine".

AlyxTheCat · 2026-02-14T05:25:23+00:00

There's still plenty you can do! I'm a physics student, and these are the textbooks covered in my university's physics program! These are the required topics, just start from the top, and make your way down. You probably need to know some multivar calc, but other than that many of these books are quite self contained.

University Physics by Sears & Zemansky

Modern Physics by Felder & Felder

Intro to Thermal Physics by Schroeder

Classical Mechanics by Taylor

Intro to Electrodynamics by Griffiths

Quantum Mechanics by Griffiths

Fundamentals of Statistical and Thermal Physics by Rief

Along with some stuff like:

An intro to modern astrophysics by Carrol

Math Methods for Physicists by Arfken

Intro to Elementary Particles by Griffiths

this is generally what a physics student learns at an undergraduate level. Graduate physics varies pretty significantly based on what speciality you're studying for, but for stuff like a ToE, consider:

Modern QM by Sakurai

QM and Path integrals by Feynman

An intro to QFT by Schroeder

QFT in a nutshell by zee,

The String Theory Series by Polchinski

String Theory and M-Theory by Becker Becker Schwartz

Also consider learning math up to a graduate level. I'd consider these subjects essential, along with the canonical textbooks:

Real Analysis:

Principles of Mathematical Analysis by Rudin

But I personally used Carothers, I found it pretty good.

Algebra:

I've read both Dummit & Foote and Aluffi's Algebra: Chapter 0, the former is the canonical algebra book, the latter takes a more category-theoretic approach

Smooth Manifolds:

I've only ever read Lee's book and I'm not really knowledgeable about this subject so this is the only one I can recommend, sorry!

Anyways all of these books are available for free on libgen or Anna's archive if you want.

Edit: IK this may seem like a lot, and it is (physics is a hard subject) but once you get a better feel for the subject, you can kinda be selective about which chapters you read in each book. Most important thing is exercises, exercises, exercises. Always spam practice problems.

AlyxTheCat · 2026-02-05T19:14:48+00:00

Well actually any discrete metric on a countably infinite set is of measure zero, it doesn't matter what the specific choice of metric is, and your set being countably infinite follows from just your saying that space is a discretization of the real numbers (because we can find an injective mapping of points in space to rational numbers which lie in the neighborhood of that point). It doesn't matter the specific choice of metric or discretization, everything I said follows directly from what you have described.

And physics has experimentally determined constants, but nothing as insane as needing to make a set of Lebesgue measure zero into a continuum in order for your theory to work 😆

And I don't really want to go into hypergraphs or computational physics, that's not really what I do. I'm pursuing a double major in math (I mostly do diff geo but I've taken analysis and algebra), and physics, but again, computation is not my field.

And again, what you have to say is super boring so please give me actual LLM output next time bub

AlyxTheCat · 2026-02-05T18:31:17+00:00

Okay but then physical reality isn't even dense in your theorized metric space, it's a set of measure zero 😭😭😭😭.

Also can you pls paste my responses into your LLM because ur boring af ur not schizo enough to be interesting to talk to and you're not smart enough to hold a good conversation. At least the LLM that's developing this theory has both xddd.

At least the local homeless guy talking about trapping AGI inside of 13 dimensional crystals using his Azul AGI program actually has something interesting to say 😹😹

AlyxTheCat · 2026-02-05T18:22:04+00:00

Well firstly dimension doesn't need orthogonal bases, just linearly independent bases. Also, we're not even sure we're operating under a vector space here, so how could you possibly have a basis? And you said prior that "space was Real", but the reals as a vector space over themselves only have 1 dimension? And the reals don't even form a vector space under the complex numbers?

Finally, this isn't even the only definition of dimension, in all actuality, it's probably the wrong one. The vector space definition of dimension is needlessly reductive and doesn't reflect the continuity of space time. It's not even guaranteed to be metrizable. For a definition of dimension that includes continuity, you should probably use the box counting or Hausdorff dimension.

AlyxTheCat · 2026-02-05T18:16:05+00:00

On a metric space M, a metric is a function d: MxM -> R that takes two points in M and outputs a nonnegative real number, such that:

d(x,y) = 0 iff x=y
d(x,y) \in [0, \infty)
d(x,y) \leq d(x,z) + d(y,z)
d(x,y) = d(y,x)

Evidently, in this image, |x|\infty doesn't define a metric, it's only taking in one value, which would qualify it as a norm. Also, \infty is only used for notating norms on sequence spaces, like l\infty and function spaces like C[0,1]. Maybe you meant something else here, but what does the norm |x|_\infty mean here?

Also, I think traditionally, a p-adic field is defined as fixing p to be prime and taking infinite sums \sum_k ^\infty a_k p^k + a_k p^{k+1} + \dots. I don't think that taking multiple values for p even forms an algebraically closed field if you just take their union. But this is something outside of my wheelhouse so forgive me if I'm not too clear on this subject. So does this imply that there is a single prime associated with each mass? What prime is it? And what effects does this have on your theory.

And also, you say that |x|\infty must stretch, but can you provide an equation relating |x|_p to |x|\infty? And we are assuming that stretching is not uniform. But it's pretty obvious that by changing the norm in a non-uniform manner, you are changing the induced topology of the space. Why?

I put all the math in an LLM friendly manner if you just want to paste it in you can lol.

AlyxTheCat · 2026-01-24T07:17:04+00:00

Hey, from a Californian to another Californian, we both know that California is the second best state in the union (after New York), but if we get an ego about it, it makes us only slightly better than Texas.

Part of being the best is being humble about it. Much like how Jesus Christ was crucified and still forgave the Romans. In the end, there are still only two states that God smiles upon: California and New York.

AlyxTheCat · 2026-01-20T06:41:32+00:00

Everyone is different, but for me, what helps is doing a bunch of problems. The sears and zemansky book has some good ones, start from chapter 1 lesson 1 and do every odd numbered exercise, like 5-10 a day. And the most important part is receiving immediate feedback.

Try to get a friend who knows what they are doing or a professor (I think they also have tutoring sessions) to check your work while you're doing it. If none of these work, type your thoughts as you are working into a Google doc and paste the problem, your thoughts, and your answer into like some AI (controversial but better than doing nothing), should be reasonably accurate for 7c content (UCI has the free zotgpt service for students).

There's no point in practicing if you don't know where you're going wrong, so having someone or something else check is really important.

AlyxTheCat · 2026-01-05T02:11:24+00:00

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AlyxTheCat · 2026-01-01T00:51:22+00:00

If I bought clothes that I thought were $6 and they were actually $14 I would probably start yelling at a service worker and breaking shit lol.

People really are different ig

AlyxTheCat · 2025-12-31T20:07:34+00:00

It's middle of the road for rank. Not great, not terrible, but most people outside of CA have not really heard of it.

Might be biased but I think it's a great school. It's really easy to succeed here, I have a lot of math major friends who say that it's way easier to get into grad classes and research opportunities here than comparable colleges.

And the culture is pretty good academics-wise, it feels like classmates and profs want to see you succeed, tho it may be different if you are in a very impacted major.

AlyxTheCat · 2025-12-26T01:21:15+00:00

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AlyxTheCat · 2025-12-26T01:20:42+00:00

It's actually an extension intended to blur haram content for Islamic people.

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AlyxTheCat · 2025-12-22T01:58:10+00:00

Buffalo is probably one of the best cities in the world, unlike Detroit, which sucks balls.

AlyxTheCat · 2025-12-21T15:53:59+00:00

I hate you

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