Manki

A basin exit plot, showing chaotic structure

Title/author list/abstract of the paper. The abstract reads: The photon ring of a Kerr black hole decomposes into a self-similar hierarchy of subrings. Here, we show that this self-similar structure persists in phase space. Moreover, near the photon shell of bound photon orbits, dynamics are controlled by a Lyapunov exponent γ, whose role we highlight by computing the first-return map for light rays close to an unstably bound orbit. Despite an exponential e^γ sensitivity to initial conditions, nearly bound rays do not exhibit chaotic behavior. However, as the background spacetime is deformed away from the Kerr geometry, chaos sets in, with its first onset most visible near strongly resonant bound orbits in the photon shell. We display two animations: one illustrating the emergence of chaos near the photon shell, which results in a fractal phase-space structure, and another exhibiting how this chaotic, fractal, self-similar structure is encoded in the first-return map.

In my head, the title of this paper is "Chaos! At the light ring."

arxiv.org/abs/2603.08790

Chaos and fractals of the black hole photon ring
Roman Berens, Peter Galison, Trevor Gravely, Alexandru Lupsasca, Leo C. Stein

🧪⚛️🧮🔭

I started working on a fun AI research project with my desktop GPU. Let's see what i produce with it.

GitHub - mk2427/ml-from-scratch Contribute to mk2427/ml-from-scratch development by creating an account on GitHub.

i have been asking claude to make a curriculum for ML to teach myself, and it has been doing a fabulous job.... AI is now a master/teacher

github.com/mk2427/ml-fr...

The U.S. war on Iran is now estimated to cost $1 billion per day. Meanwhile Americans are told there’s no money for healthcare, hospitals, or basic social programs.

앞으로 SF에 자주가겠군

59% of Americans Oppose the Military Action in Iran

just 60%?????

www.nytimes.com/2026/03/04/u...

Cannot wait till the mid term election..

급등하는 메모리 가격으로 인해 제조업체들이 어려움을 겪기 시작하면서 보급형 PC 시장은 2028년까지 사라질 것 이미지 출처: WccftechPC 제조업체들은 메모리 가격이 전례 없는 수준에 도달함에 따라 게이머들에게 '…

급등하는 메모리 가격으로 인해 제조업체들이 어려움을 겪기 시작하면서 보급형 PC 시장은 2028년까지 사라질 것
quasarzone.com/bbs/qn_hardw...
AI가 밉다. 학생하고 어린이한테 컴퓨터와 게임기를 뺏아가고 있음. 이게 맞나.

그러니까 터미네이터2를 지금와서 다시 찍으면 저지먼트 데이 장면 다시 찍어야한다고 생각함. 스카이넷이 발사권을 가지고 있지 않고 인간이 발사권을 가지고 있는 장면으로.

그리고 스카이넷이 "자국 본토에 핵미사일을 쏘세요." 라고 지시를 내렸을 때 사람들이 잠시 고개 갸웃 거리고는 "그래도, 스카이넷이 쏘라고 했으니 이유가 있겠지." 하고 아무 생각없이 쏘는 장면으로.

hmm, now the result of the faculty job application is conclusive. and yes, i did not get any job! I was the first reserve (again!!), and the other person accepted (again!!). It is a sobering situation. good that i have been looking for other opportunities, and frankly there are many exciting ones

trying that for 10 years (5 year phd +5 year postdoc) is long enough, and i think i did non-trivial good work that moved the discussions around the landscape of string theory in a constructive manner. so i have done enough. I should know my worth, and embrace other opportunities.

frankly though, if there is only one job in my field in the entire western hemisphere (because i have to exclude cornell for obvious reasons), trying to get an academic job is equivalent to spending all one's money on lottery with the hope that one will get lucky.

None other than the legendary Donald Knuth is officially impressed by what AI can do now in trying to solve open math problems (this one in finding cycles in lattice digraphs): www-cs-faculty.stanford.edu/~knuth/paper...

블스가 너무 지루해 결국 트위터 계정을 다시 팜..

i want to also learn lean. this is super exciting

Math, Inc. on X: "We are pleased to share that using Gauss, we have completed a ~200K LOC formalization of Maryna Viazovska’s 2022 Fields Medal theorems on optimal sphere packing in dimensions 8 and 24. This is the only Fields Medal-winning result from this century to be completely formalized," / X We are pleased to share that using Gauss, we have completed a ~200K LOC formalization of Maryna Viazovska’s 2022 Fields Medal theorems on optimal sphere packing in dimensions 8 and 24. This is the only Fields Medal-winning result from this century to be completely formalized,

oh wow this is so cool

x.com/mathematics_...

haha thank you so much for doing this for me! If there is a good opportunity for me in chinese academia, i would definitely consider.

oh from observer in QG to QCD is a big jump!

I don't have good advice unfortunately as i am novice in this direction. Sorry Faust

i have been writing things in python

I should really make simulating super lattice qcd within this year myself a goal. It would be so cool if I can do that

Frankly playing with claude code is so much fun.... I can do so many things I simply put aside, because those things would've taken too much time but not any longer with ai...

I predict that many computational bottlenecks will be removed with the help of ai coding tools. Then it would be truly exciting time to do a high level thinking

What an Era! I cannot imagine how much more people can do in science with this awesome tool

It is exciting that I can use claude code to write some impressive codes to reduce the computational burden significantly to do some good calculations in string theory

I pushed my first repo to github! I will start creating more codes. The current one is private that may be made to public soon

Live Updates: U.S. and Israel Conduct Strikes on Iran

oh no..

www.nytimes.com/live/2026/02...

;)

Oh yeah that would be super fun

given how good ai is at writing codes, maybe this is something i can do as a side gig

it would be amazing to put KS gauge theory on a lattice to study the anti-d3-brane instability definitively to end the KKLT debate once and for all. if i have more resources, maybe i can do the lattice qcd simulation myself