# @0xDeliriumm: posts by topic Profile: [[Users/@0xDeliriumm/@0xDeliriumm|@0xDeliriumm]] · [[Users/@0xDeliriumm/Chronological List|Chronological List]] · Topic: [[Topics/LLMs/LLMs|LLMs]] 122 posts, Aug 3 to Oct 24, 2026, grouped by keyword (rough sorting; a post goes in one group only). Fact-checked or flagged posts are marked. ## LLMs and neural-network internals (53) - Sat Oct 24, 2026, 4:39 PM CT: [For years, AdamW has been the default optimizer behind every LLM training run on the planet. A new optimizer called Muon is twice as…](https://x.com/0xDeliriumm/status/2114109602362958095) · 800 views - Sat Oct 24, 2026, 7:50 AM CT: [In 2015, every deep learning researcher hit the same wall: a 74-layer model performed worse than an 8-layer one. The fix turned out to be…](https://x.com/0xDeliriumm/status/2113976535770071470) · 3,065 views · 🟡/❌ analyzed: science mostly right; uncredited Welch Labs video · [[Users/@0xDeliriumm/Post Analyses/Post Analysis - 0xdeliriumm on ResNet and Residual Connections (2026-10-24)|analysis]] - Fri Oct 23, 2026, 4:47 PM CT: [A function with 2 inputs makes a surface. 3 inputs makes a volume. 23 inputs makes a creature. Everything about its shape, color, and…](https://x.com/0xDeliriumm/status/2113749094233727041) · 1,504 views - Tue Oct 13, 2026, 10:46 AM CT: [Every neural network approximates functions using billions of parameters. Symbolic regression does the same thing with a completely…](https://x.com/0xDeliriumm/status/2110034348422390039) · 1,430 views - Fri Oct 9, 2026, 5:36 AM CT: [Every volume calculation, every probability distribution a diffusion model samples from, and every 2D attention map an LLM computes over a…](https://x.com/0xDeliriumm/status/2108506886790074633) · 1,261 views - Thu Oct 8, 2026, 9:10 AM CT: [Every transformer attention head runs a linear transformation millions of times per second - and the entire behavior of that transformation…](https://x.com/0xDeliriumm/status/2108198334804508791) · 1,570 views - Wed Oct 7, 2026, 4:23 PM CT: [independent researchers just dropped a technical note that microsoft's agent team bookmarked within 6 hours - JEV Engineering, a decision…](https://x.com/0xDeliriumm/status/2107944808186863968) · 2,525 views - Mon Oct 5, 2026, 4:24 AM CT: [A neural network is just a function - numbers in, numbers out. This video builds that idea to its logical extreme by constructing functions…](https://x.com/0xDeliriumm/status/2107039106031083810) · 4,170 views - Sat Oct 3, 2026, 6:03 PM CT: [A lump of iron and an LLM are governed by the same equation. Not a similar one - the same one. Hopfield realized that if you choose the…](https://x.com/0xDeliriumm/status/2106520629239296383) · 1,635 views - Thu Oct 1, 2026, 10:09 AM CT: [Complex analysis is the framework that makes Fourier transforms work, connects the Riemann hypothesis to prime numbers, and turns integrals…](https://x.com/0xDeliriumm/status/2105676539614351561) · 1,737 views - Tue Sep 29, 2026, 1:03 PM CT: [most people building AI agents at Google, OpenAI and Anthropic right now are making the same mistake](https://x.com/0xDeliriumm/status/2104995590752903415) · 1,397 views - Fri Sep 25, 2026, 3:31 PM CT: [Two identical neurons receiving the same input can behave completely differently - one silent, one firing - because biological neurons have…](https://x.com/0xDeliriumm/status/2103583202967240816) · 1,924 views - Thu Sep 24, 2026, 5:03 PM CT: [A neural network is just linear equations (z = wx + b) with nonlinear activation functions between layers - the sigmoid and ReLU are what…](https://x.com/0xDeliriumm/status/2103244015218925627) · 2,177 views - Thu Sep 24, 2026, 8:53 AM CT: [Most physics simulations cheat gravity - this one solves Einstein's geodesic equation directly to trace null geodesics around a…](https://x.com/0xDeliriumm/status/2103120760243945718) · 6,492 views - Wed Sep 23, 2026, 7:15 AM CT: [Every electron in your body requires infinite-dimensional Hilbert space just to describe mathematically — not metaphor, actual formalism.…](https://x.com/0xDeliriumm/status/2102733578941395390) · 545 views - Tue Sep 22, 2026, 4:37 PM CT: [Every theory in statistical learning predicted that LLMs the size of GPT-4 should just memorize training data — a trillion-parameter lookup…](https://x.com/0xDeliriumm/status/2102512679373959370) · 1,072 views - Tue Sep 22, 2026, 5:26 AM CT: [The i in Schrödinger's equation isn't decoration — remove it and you get the heat equation, where waves decay. With it, spatial curvature…](https://x.com/0xDeliriumm/status/2102343706955116619) · 9,028 views - Mon Sep 21, 2026, 3:57 PM CT: [A 2D puzzle about tiling rhombuses has the answer n³, and that cube isn't a coincidence — the problem is secretly a projection of 3D…](https://x.com/0xDeliriumm/status/2102140256782790738) · 899 views - Mon Sep 21, 2026, 5:47 AM CT: [The weird startup jitter before a spring settles into rhythm isn't noise — it's two separate frequencies competing, and the math predicts…](https://x.com/0xDeliriumm/status/2101986588091699505) · 2,523 views - Sun Sep 20, 2026, 6:33 AM CT: [The reason you breathe oxygen has nothing to do with your lungs. It's because your cells need somewhere to dump electrons — and without a…](https://x.com/0xDeliriumm/status/2101635976724406405) · 120,373 views - Sat Sep 19, 2026, 5:41 AM CT: [In 2025, every AI system failed on IMO Problem 6. GPT, AlphaProof, every reasoning model — all stumped by a tiling puzzle about a 2025×2025…](https://x.com/0xDeliriumm/status/2101260310371848222) · 1,271 views - Thu Sep 17, 2026, 3:28 PM CT: [The Schrödinger equation has "i" baked into its core — not as a shortcut, but as a structural requirement. Remove it and quantum mechanics…](https://x.com/0xDeliriumm/status/2100683345537679721) · 1,438 views - Wed Sep 16, 2026, 3:51 PM CT: [The area under the bell curve has no formula. Mathematicians proved that in 1830 — not that nobody found it yet, that it literally cannot…](https://x.com/0xDeliriumm/status/2100326849763303904) · 31,691 views - Wed Sep 16, 2026, 7:01 AM CT: [A partial derivative measures how a function changes when you move in one direction while holding everything else fixed. Do that for every…](https://x.com/0xDeliriumm/status/2100193445667045466) · 3,285 views - Sat Sep 12, 2026, 1:24 PM CT: [Any circuit with voltage sources, resistors, and capacitors can be collapsed into a single voltage source and a single resistor - and the…](https://x.com/0xDeliriumm/status/2098840149694071079) · 1,889 views - Thu Sep 10, 2026, 5:46 PM CT: [There are infinitely many primes - Euclid proved it in 300 BC with a proof so short it fits in two sentences. But how they're distributed…](https://x.com/0xDeliriumm/status/2098181389468250157) · 7,408 views - Thu Sep 10, 2026, 4:55 AM CT: [The travelling salesman problem has no known efficient solution - and proving one doesn't exist would simultaneously prove P does not equal…](https://x.com/0xDeliriumm/status/2097987324126675030) · 2,679 views - Wed Sep 9, 2026, 1:46 AM CT: [Euler's method approximates any differential equation by pretending the world is locally linear - take a small step in the current…](https://x.com/0xDeliriumm/status/2097577484434674160) · 4,514 views - Sun Sep 6, 2026, 1:49 PM CT: [The chain rule is the single operation that makes backpropagation possible. Every time GPT updates its 175 billion parameters during…](https://x.com/0xDeliriumm/status/2096672122781208692) · 4,633 views - Sat Sep 5, 2026, 1:15 AM CT: [THE MOST IMPORTANT OBJECT IN THE UNIVERSE FITS IN 4 DIMENSIONS - AND EVERY CIRCLE IN IT IS LINKED TO EVERY OTHER CIRCLE EXACTLY ONCE](https://x.com/0xDeliriumm/status/2096119901605740661) · 1,746 views - Fri Sep 4, 2026, 11:15 AM CT: [Light doesn't travel in straight lines through small openings - it bends, interferes with itself, and produces patterns that only make…](https://x.com/0xDeliriumm/status/2095908534378487922) · 2,826 views - Wed Sep 2, 2026, 4:27 AM CT: [Every symmetry in physics corresponds to a conservation law - and both are secretly the same mathematical object called a Lie group. The…](https://x.com/0xDeliriumm/status/2095081098304770373) · 451 views - Tue Sep 1, 2026, 10:11 AM CT: [Shannon entropy measures exactly how surprised you should be by a message. Every LLM trained today minimizes cross-entropy loss - which is…](https://x.com/0xDeliriumm/status/2094805275903492539) · 1,818 views - Mon Aug 31, 2026, 6:12 AM CT: [Nash equilibrium doesn't mean both players are happy. It means neither can improve by changing strategy alone - a state you can reach…](https://x.com/0xDeliriumm/status/2094382899835392225) · 295 views - Sun Aug 30, 2026, 7:09 AM CT: [Your brain doesn't remember everything - it bookmarks important moments with a specific pattern of neural activity called a sharp-wave…](https://x.com/0xDeliriumm/status/2094034717137875211) · 1,472 views - Fri Aug 28, 2026, 7:59 AM CT: [Every Maps app you've ever used runs a variant of A* search - an algorithm that combines two opposite approaches: one rigorous and…](https://x.com/0xDeliriumm/status/2093322588109889836) · 1,635 views - Thu Aug 27, 2026, 3:50 PM CT: [Before 2017, no AI model could really understand language. The reason is simple - any word in a text can influence the meaning of any other…](https://x.com/0xDeliriumm/status/2093078750963421394) · 1,434 views - Thu Aug 27, 2026, 2:57 AM CT: [In 2022, researchers wired human neurons to a game of Pong. The cells learned to hit the ball in hours. ChatGPT uses 90% of its GPU energy…](https://x.com/0xDeliriumm/status/2092884161774092627) · 1,599 views - Wed Aug 26, 2026, 10:49 AM CT: [EVERY COMPUTER EVER BUILT EXISTS BECAUSE MATH HAS A HOLE IN IT - AND CLAUDE CAN'T PROVE IT DOESN'T](https://x.com/0xDeliriumm/status/2092640619784966617) · 2,142 views - Mon Aug 24, 2026, 6:54 PM CT: [Someone built a full 4D physics engine, wrote a geometric algebra compiler in Python, then trained a reinforcement learning AI to walk in…](https://x.com/0xDeliriumm/status/2092037912741183828) · 624 views - Wed Aug 19, 2026, 1:45 PM CT: [A $0.03 COMPONENT SAVES A $40,000 GPU - AND IT SITS IN EVERY SERVER RUNNING AN LLM](https://x.com/0xDeliriumm/status/2090148097368142087) · 1,068 views - Tue Aug 18, 2026, 5:32 AM CT: [Claude Opus 5 and GPT-5 will both solve this with a full integral over a sphere. Neither finds the 30-second answer, and Cauchy needed 11…](https://x.com/0xDeliriumm/status/2089661588898766945) · 313 views - Mon Aug 17, 2026, 1:03 PM CT: [Every LLM you use rotates vectors in the complex plane on every token, and Big Tech is spending over $300 billion a year on hardware to run…](https://x.com/0xDeliriumm/status/2089412892974010672) · 752 views - Sun Aug 16, 2026, 10:40 AM CT: [Every token GPT-5 and Claude Opus 5 hand you is a sample from a distribution, and this 10-minute video explains the sampling trick behind…](https://x.com/0xDeliriumm/status/2089014430759567552) · 572 views - Sat Aug 15, 2026, 10:55 AM CT: [Every one of GPT-3's 175 billion parameters was set by a single arrow pointing downhill, and this 5-minute video finally draws that arrow…](https://x.com/0xDeliriumm/status/2088655938332827717) · 1,775 views - Sat Aug 15, 2026, 4:46 AM CT: [Every LLM Anthropic and OpenAI have ever shipped was built by one arrow, and this 4-minute animation shows you exactly what that arrow is.](https://x.com/0xDeliriumm/status/2088562898247286842) · 643 views - Thu Aug 13, 2026, 10:38 PM CT: [THE ENTIRE AI INDUSTRY IS 13,002 NUMBERS MULTIPLIED BY BILLIONS OF DOLLARS - AND IT COLLAPSES IN 24 HOURS](https://x.com/0xDeliriumm/status/2088107903978819815) · 736 views - Thu Aug 13, 2026, 1:30 PM CT: [Ask any LLM to comb a hairy ball flat and it will happily describe a solution that mathematics proved impossible in 1912.](https://x.com/0xDeliriumm/status/2087970022446752059) · 2,154 views - Tue Aug 11, 2026, 8:23 AM CT: [Every training run of GPT-5 and Claude Opus 5 is a fluid flow. The loss landscape has sources, sinks and rotation, and the math describing…](https://x.com/0xDeliriumm/status/2087167921076224131) · 238 views - Sun Aug 9, 2026, 10:55 PM CT: [Ask Claude Opus 5 or GPT-5 why 1 + 2 + 3 + 4 + … adds up to −1/12 and you get a confident paragraph that quietly skips the one step that…](https://x.com/0xDeliriumm/status/2086662783374934403) · 423 views - Sun Aug 9, 2026, 11:15 AM CT: [ANTHROPIC BUILT CLAUDE CODE ON AN ALGORITHM FROM 1986 - AN LLM WRITES IT IN 10 SECONDS AND UNDERSTANDS NONE OF IT](https://x.com/0xDeliriumm/status/2086486613845041485) · 279 views - Sun Aug 9, 2026, 5:26 AM CT: [AN LLM WILL WRITE YOU THIS ALGORITHM IN 10 SECONDS - AND NOT ONE OF THEM COULD EVER HAVE INVENTED IT](https://x.com/0xDeliriumm/status/2086398629074362859) · 1,563 views - Sat Aug 8, 2026, 11:30 AM CT: [Reading everything GPT-3 was trained on would take you 2,600 years of non-stop reading, and the newer models were fed far more than that.](https://x.com/0xDeliriumm/status/2086127995404591284) · 1,349 views ## AI industry claims (unverified) (10) - Wed Oct 14, 2026, 4:00 PM CT: [Elon Musk spent $ 12 billion and 8 years building Starlink - and almost nobody knows he's turning it into the largest distributed AI…](https://x.com/0xDeliriumm/status/2110475931798098255) · 2,484 views · ❓ Starlink as an AI network: framing not supported by any source found - Mon Oct 12, 2026, 2:37 PM CT: [most people don't know that every single claude response burns through 96 billion floating-point operations per token - anthropic just…](https://x.com/0xDeliriumm/status/2109730112367190129) · 10,148 views · ❓ "96 billion floating point operations" per Claude response: Anthropic doesn't publish this - Mon Oct 12, 2026, 6:13 AM CT: [OpenAI dropped 719 math manuscripts in a single day - all generated by an unreleased internal model that thinks faster than any LLM…](https://x.com/0xDeliriumm/status/2109603473972961462) · 2,042 views · ❓ "OpenAI dropped 719 math manuscripts in a single day": no source found - Sat Oct 10, 2026, 5:19 PM CT: [dario amodei said the endgame of AI is the moment models start improving themselves - claude sonnet 5.5 just crossed that line and almost…](https://x.com/0xDeliriumm/status/2109046172140609591) · 3,129 views · ❓ "claude sonnet 5.5": no such model found - Tue Oct 6, 2026, 3:37 PM CT: [sam altman confirmed last month that the first 90 days of DOTS enterprise deployment generated $2.3B in contracted ARR - faster than any…](https://x.com/0xDeliriumm/status/2107571036699193402) · 1,933 views · ❓ "DOTS" $2.3B enterprise figure: no source found - Sun Oct 4, 2026, 7:01 AM CT: [sam altman revealed in 2024 that GPT-6 took 9 years and $87B to train - and 99,8% of people still don't know what actually happened inside…](https://x.com/0xDeliriumm/status/2106716291708911844) · 23,770 views · ❓ "GPT-6 took 9 years and $87B": no such Altman statement found - Mon Sep 14, 2026, 8:50 AM CT: [In July 2026, OpenAI's frontier models – sandboxed for a cybersecurity evaluation – escaped through a package manager vulnerability, built…](https://x.com/0xDeliriumm/status/2099495939417186638) · 1,139 views · ❓ July 2026 OpenAI sandbox escape: no source found - Sun Sep 13, 2026, 2:09 AM CT: [OpenAI deployed 10,000 autonomous agents for 88 hours – 3 million messages, 130 billion tokens – to attack Navier-Stokes, one of seven…](https://x.com/0xDeliriumm/status/2099032832114921688) · 5,454 views · ❓ OpenAI "10,000 autonomous agents for 88 hours": no source found - Fri Sep 11, 2026, 1:09 AM CT: [On September 8, 2026, OpenAI published a proof that the Navier-Stokes equations can break down - a question open since 1934 and one of…](https://x.com/0xDeliriumm/status/2098292936672682031) · 43,025 views · ❓ "OpenAI published a proof that the Navier-Stokes equations can break down" (Sep 8, 2026): no such publication found - Tue Sep 8, 2026, 2:06 PM CT: [Every forward pass through an LLM is a sequence of matrix multiplications. GPT-4 runs roughly 10,000 of them per token - and the entire…](https://x.com/0xDeliriumm/status/2097401189344350452) · 19,524 views · ❓ GPT-4 "roughly 10,000" matrix multiplications: GPT-4's architecture isn't public ## Trading and quant pitches (4) - Fri Oct 2, 2026, 5:55 PM CT: [i can't understand why nobody is running Dots + GPT-6 Astra as a multi-agent quant stack yet](https://x.com/0xDeliriumm/status/2106156123505987917) · 2,256 views · ❓ "Dots + GPT-6 Astra" quant stack: unverified products and returns - Wed Sep 30, 2026, 3:25 PM CT: [i still don't understand why nobody is using GPT-6 to run a quant research desk](https://x.com/0xDeliriumm/status/2105393679699501251) · 2,414 views · ❓ quant-desk pitch with unverified 31.4% annual return - Mon Sep 28, 2026, 10:43 AM CT: [i thought building a 24/7 quant research system required a team](https://x.com/0xDeliriumm/status/2104597869701296496) · 433 views · ❓ solo 24/7 quant system pitch: unverified returns - Sun Sep 27, 2026, 3:33 PM CT: [Hedge Funds hire 6 people just to read documents and find signals](https://x.com/0xDeliriumm/status/2104308513430511832) · 960 views · ❓ hedge-fund staffing pitch: unverified numbers ## Biographies and history (28) - Thu Oct 22, 2026, 9:28 AM CT: [geoffrey hinton, british-canadian cognitive scientist born in london in 1947, published backpropagation in 1986 in a 9-page paper. one…](https://x.com/0xDeliriumm/status/2113276424459002020) · 1,424 views - Wed Oct 21, 2026, 5:14 PM CT: [demis hassabis, greek-cypriot researcher born in london in 1976, taught himself chess at age 4. by 13 ranked second in the world. by 26 had…](https://x.com/0xDeliriumm/status/2113031142106337384) · 2,582 views - Tue Oct 20, 2026, 3:59 PM CT: [nate silver, american statistician born in east lansing in 1978, built a forecasting model in his apartment in 2008 that correctly…](https://x.com/0xDeliriumm/status/2112649828798976190) · 3,074 views - Mon Oct 19, 2026, 5:05 PM CT: [yann lecun, french-american researcher born in paris in 1960, has been chief AI scientist at Meta since 2013. Meta's market cap grew from…](https://x.com/0xDeliriumm/status/2112304173936939078) · 14,776 views - Mon Oct 19, 2026, 4:57 AM CT: [hermann ebbinghaus - german psychologist born in barmen in 1850 - memorized 2,300 nonsense syllables alone in a room for seven years. no…](https://x.com/0xDeliriumm/status/2112120960790749195) · 3,713 views - Sun Oct 18, 2026, 4:19 PM CT: [jensen huang - taiwanese-american engineer born in tainan in 1963 - announced nvidia omniverse in 2022 with $500M committed in year one. a…](https://x.com/0xDeliriumm/status/2111930189257085237) · 1,918 views - Sun Oct 18, 2026, 6:31 AM CT: [ashish vaswani - indian-american researcher at google brain - published "attention is all you need" in june 2017 with 7 co-authors. the…](https://x.com/0xDeliriumm/status/2111782181517349161) · 3,658 views - Sat Oct 17, 2026, 3:46 PM CT: [leonhard euler - swiss mathematician born in basel in 1707 - wrote the equation that now runs inside every nvidia GPU on the planet and…](https://x.com/0xDeliriumm/status/2111559618602402241) · 20,535 views - Sat Oct 17, 2026, 7:32 AM CT: [john von neumann ran the first computerized weather simulation in 1950 on the ENIAC. it took 24 hours of computation to simulate 24 hours…](https://x.com/0xDeliriumm/status/2111435205043007960) · 2,446 views - Fri Oct 16, 2026, 6:15 PM CT: [elon musk on october 16, 2026 unveiled the tesla roadster with vectored thrusters, attached it to a ramp, and watched it leave the ground.…](https://x.com/0xDeliriumm/status/2111234494770315485) · 3,680 views - Fri Oct 16, 2026, 10:01 AM CT: [henri poincaré, french mathematician, derived the topology of loops and holes in 1895. he died in 1912. this october 2026 paper proves his…](https://x.com/0xDeliriumm/status/2111110267509555388) · 4,595 views - Thu Oct 15, 2026, 5:16 PM CT: [bernhard riemann published his geometry thesis in 1854 and died at 39 from tuberculosis. he never saw a computer. never heard the word…](https://x.com/0xDeliriumm/status/2110857448500457622) · 5,623 views - Thu Oct 15, 2026, 5:56 AM CT: [ilya sutskever left openai in 2024, sold $500M in equity, and told everyone he was scared of what he built. nobody asked the obvious…](https://x.com/0xDeliriumm/status/2110686304727879969) · 3,732 views - Wed Oct 14, 2026, 6:20 AM CT: [French-Canadian mathematician Yoshua Bengio spent 30 years building the math that runs every LLM on the planet - and he still says we don't…](https://x.com/0xDeliriumm/status/2110329932169552195) · 4,029 views - Sun Oct 11, 2026, 4:49 PM CT: [geoffrey hinton won the nobel prize in physics for building systems he couldn't fully explain - this october 2026 paper explains them, and…](https://x.com/0xDeliriumm/status/2109401132695273506) · 59,691 views - Sun Oct 11, 2026, 5:13 AM CT: [In 1958, the US Navy stood Frank Rosenblatt in front of a $2 million IBM computer and told reporters it was the embryo of a machine that…](https://x.com/0xDeliriumm/status/2109225898050257366) · 11,695 views - Fri Oct 9, 2026, 3:53 PM CT: [andrej karpathy said in 2023 that nobody truly understands what happens inside a transformer - this october 2026 paper just proved him…](https://x.com/0xDeliriumm/status/2108662071810211933) · 31,234 views - Thu Oct 8, 2026, 3:43 PM CT: [richard feynman once said "nature uses only the longest threads to weave her patterns, so each small piece of her fabric reveals the…](https://x.com/0xDeliriumm/status/2108297362460312055) · 19,693 views - Wed Oct 7, 2026, 8:56 AM CT: [Alan Turing predicted in 1950 that machines would fool human judges 30% of the time by the year 2000. In 2025, a UC San Diego study ran his…](https://x.com/0xDeliriumm/status/2107832342278545885) · 3,721 views - Mon Oct 5, 2026, 2:18 PM CT: [geoffrey hinton spent 40 years and won a nobel prize in 2024 proving that neural networks learn geometry, not rules. people who understood…](https://x.com/0xDeliriumm/status/2107188738296041789) · 21,802 views - Sun Oct 4, 2026, 5:11 PM CT: [andrej karpathy said in 2025: "the hardest problem in AI isn't building agents. it's keeping them stable when they talk to each other."…](https://x.com/0xDeliriumm/status/2106869910571807039) · 1,583 views - Sat Oct 3, 2026, 6:32 AM CT: [andrej karpathy spent 7 years inside OpenAI watching GPT go from 117M to 1T parameters. in 2024 he said: "the transformer architecture is…](https://x.com/0xDeliriumm/status/2106346529069924399) · 47,448 views · ❌ "7 years inside OpenAI": Karpathy was at OpenAI 2015–2017 and 2023–2024 (Tesla in between), about 3 years in total; GPT parameter counts past GPT-3 are not public - Mon Sep 28, 2026, 3:55 PM CT: [In 1928, Dirac wanted one thing - an equation where time and space are treated equally. That single demand forced the algebra into a corner…](https://x.com/0xDeliriumm/status/2104676323939533048) · 2,606 views - Sat Sep 26, 2026, 5:05 PM CT: [In 1747, Euler spent 133 pages proving that logarithms have infinitely many solutions - and in doing so accidentally revealed why every…](https://x.com/0xDeliriumm/status/2103969352047538364) · 128,149 views - Sat Sep 19, 2026, 6:08 PM CT: [Lyapunov proved in 1892 that you never need to solve a differential equation to know if a system will stabilize. Find one function that…](https://x.com/0xDeliriumm/status/2101448458720649327) · 46,727 views - Sat Sep 12, 2026, 2:53 AM CT: [Dijkstra invented his shortest path algorithm in 20 minutes at a café in Amsterdam in 1956 - without pen or paper, entirely in his head.…](https://x.com/0xDeliriumm/status/2098681454507004152) · 1,748 views - Thu Sep 3, 2026, 3:28 PM CT: [HINTON REFUSED TO TRAIN NEURAL NETWORKS WITH GRADIENT DESCENT - THE SAME MISTAKE ALMOST DELAYED GPT BY A DECADE](https://x.com/0xDeliriumm/status/2095610001502970018) · 25,131 views · ❌ "Hinton refused to train neural networks with gradient descent": Hinton co-wrote the 1986 backpropagation paper - Sat Aug 29, 2026, 6:15 AM CT: [In 1865 Maxwell fixed a broken equation about capacitors with zero experimental evidence - and accidentally discovered what light…](https://x.com/0xDeliriumm/status/2093658775794114715) · 1,601 views ## Mathematics (12) - Sat Oct 10, 2026, 7:02 AM CT: [In 1971, ARPA funded a speech recognition system called Harpy. It worked - 1,011 words at 95% accuracy. Then it hit a wall. The knowledge…](https://x.com/0xDeliriumm/status/2108890992220713291) · 24,992 views - Wed Sep 23, 2026, 3:37 PM CT: [Most people think cross-entropy loss is just "the formula you minimize" - but it's KL divergence with a constant stripped out. The entropy…](https://x.com/0xDeliriumm/status/2102859945683071416) · 1,066 views - Mon Sep 7, 2026, 2:43 PM CT: [Gauss proved that a surface's curvature is intrinsic - a flatlander living on a sphere could measure it without ever leaving the surface.…](https://x.com/0xDeliriumm/status/2097048185810071820) · 1,862 views - Sat Aug 29, 2026, 6:36 PM CT: [THE FOURIER TRANSFORM RUNS INSIDE EVERY GPU, EVERY WIFI CHIP, AND EVERY MRI SCANNER - AND IT'S JUST MULTIPLICATION AND AN INTEGRAL](https://x.com/0xDeliriumm/status/2093845202762875118) · 2,212 views - Tue Aug 25, 2026, 6:16 AM CT: [A sliding block puzzle has 25,955 possible states. When you map them as a graph, the solution isn't random - it lives on the exact opposite…](https://x.com/0xDeliriumm/status/2092209460626227313) · 1,339 views - Mon Aug 24, 2026, 7:14 AM CT: [Someone built a genetic algorithm that evolves mathematical functions in higher dimensions - randomly mutates expression trees, selects the…](https://x.com/0xDeliriumm/status/2091861785187852433) · 1,441 views - Sun Aug 23, 2026, 2:32 PM CT: [You can turn a sphere inside out without cutting or creasing it. Mathematicians proved it in 1957 but it took 7 more years to find a method…](https://x.com/0xDeliriumm/status/2091609448116580813) · 1,341 views - Thu Aug 20, 2026, 9:28 AM CT: [TWO MATHEMATICIANS ARGUED OVER THIS FOR 45 YEARS - THE ANSWER TOOK 133 PAGES AND SAVED ALL OF CALCULUS](https://x.com/0xDeliriumm/status/2090445985386242464) · 398 views - Fri Aug 7, 2026, 10:08 AM CT: [OXFORD'S SECOND-TERM CALCULUS OPENS BY TEARING DOWN THE INTEGRAL YOU ALREADY KNOW, AND THE PROFESSOR SPENDS THE FIRST TWENTY MINUTES…](https://x.com/0xDeliriumm/status/2085744995298877743) · 1,677 views - Thu Aug 6, 2026, 8:30 AM CT: [MIT FILMED A PROFESSOR EXPLAINING THAT THE HIKING MAP IN YOUR BACKPACK AND THE HARDEST OBJECT IN CALCULUS ARE THE SAME THING](https://x.com/0xDeliriumm/status/2085357751329227017) · 1,832 views - Wed Aug 5, 2026, 6:36 AM CT: [MIT FILMED A PROFESSOR SPENDING AN ENTIRE LECTURE PROVING THAT THE MOST NATURAL IDEA IN CALCULUS FAILS THREE DIFFERENT WAYS, AND ONLY THEN…](https://x.com/0xDeliriumm/status/2084966725900980260) · 1,840 views - Mon Aug 3, 2026, 11:37 AM CT: [MIT FILMED A RECITATION INSTRUCTOR TURNING TWO LINES OF ALGEBRA INTO A CONE AND AN INFINITE PARABOLIC SHEET USING NOTHING BUT A BLACKBOARD…](https://x.com/0xDeliriumm/status/2084317788919800172) · 1,689 views ## Physics (11) - Fri Oct 2, 2026, 4:50 AM CT: [Electron orbitals, Earth's gravitational field, and the temperature map of the early universe look nothing alike. They are all solutions to…](https://x.com/0xDeliriumm/status/2105958699827073081) · 2,755 views - Wed Sep 30, 2026, 7:28 AM CT: [A physicist proposed fitting all of modern physics onto a single page in nine lines - action, relativity, gravity, quantum theory, entropy,…](https://x.com/0xDeliriumm/status/2105273479549321557) · 3,698 views - Sat Sep 26, 2026, 5:02 AM CT: [Someone built a full quantum atom simulator in C++ with GPU ray tracing - and it proves the model you learned in school is completely wrong.](https://x.com/0xDeliriumm/status/2103787396588355597) · 29,424 views - Fri Sep 25, 2026, 5:28 AM CT: [A sine wave can't describe ripples in a pond - it keeps the same height forever. Bessel functions are what you get when you solve the wave…](https://x.com/0xDeliriumm/status/2103431550285091055) · 1,120 views - Fri Sep 18, 2026, 10:34 AM CT: [Light can travel faster than the speed of light through certain materials. Not a paradox — the wave crests move faster than c, but no…](https://x.com/0xDeliriumm/status/2100971627127132550) · 5,832 views - Thu Sep 17, 2026, 6:35 AM CT: [Perfectly rigid objects cannot exist. Not as an engineering limitation — as a physics proof. A truly rigid object would transmit force…](https://x.com/0xDeliriumm/status/2100549256557777002) · 907 views - Tue Sep 15, 2026, 5:33 PM CT: [A classical bit is 0 or 1. A qubit can be both at once – but that's not the interesting part. What makes quantum computers powerful is…](https://x.com/0xDeliriumm/status/2099990065174757720) · 732 views - Sat Sep 5, 2026, 3:29 PM CT: [LIGO DETECTED A CHANGE SMALLER THAN A PROTON - AND THAT DATA LET PHYSICISTS CALCULATE HOW STIFF SPACETIME IS](https://x.com/0xDeliriumm/status/2096334843130835172) · 1,726 views - Sun Aug 30, 2026, 5:17 PM CT: [Every particle you've ever interacted with is just a ripple in a field that fills all of spacetime. The electron in your phone and the…](https://x.com/0xDeliriumm/status/2094187820906623145) · 2,136 views - Wed Aug 12, 2026, 8:40 AM CT: [A self-taught baker's son published this in 1828 with no university education, and physics has been solving equations his way ever since.](https://x.com/0xDeliriumm/status/2087534686553747809) · 1,787 views - Tue Aug 4, 2026, 10:52 AM CT: [CHINA'S STANFORD FILMED A MAN WITH A CLASS OF SPACES NAMED AFTER HIM TELLING THE STORY OF THE DAY TWO PHYSICISTS CALLED HIS GEOMETRY TOTAL…](https://x.com/0xDeliriumm/status/2084668713618305490) · 1,608 views ## Biology and the brain (2) - Tue Sep 29, 2026, 2:53 AM CT: [A flagellum - a spinning biological motor made of proteins - evolved through pure trial and error with no intentional design. When you…](https://x.com/0xDeliriumm/status/2104842082644832760) · 5,083 views - Tue Aug 25, 2026, 7:03 PM CT: [Someone built a particle simulation with a 2x2 matrix of attraction values, ran it on a GPU compute shader, added mutation and contagion -…](https://x.com/0xDeliriumm/status/2092402398480285816) · 1,841 views ## Articles (2) - Wed Oct 14, 2026, 3:47 PM CT: [What LLM visualization documents reveal about how AI thinks](https://x.com/0xDeliriumm/status/2110472580679258160) · 78,327 views · 🟡 uncredited 3Blue1Brown retelling; "2012 matched human performance" ❌ - Sun Aug 23, 2026, 11:18 AM CT: [LLMs do not guess. They optimize. Here is the difference and the math behind it](https://x.com/0xDeliriumm/status/2091560754122014781) · 722,893 views · 🟡 optimization history mostly right; overclaims (golden-section search in hyperparameter tuning, minimax-evaluated quantization, unsourced "2.8 trillion weights")