Lee J. R.

∫∫∫ plasma•radition•particles

Physicist | Industrial Electrical Technician | HVAC

[Lee J. R. @Leeriber]

Per aspera ad astra.

[World of Engineering @engineers_feed]

The Large Hadron Collider at CERN operates at 1.9 Kelvin, colder than the average temperature of outer space, because its superconducting magnets must be near absolute zero to function.

At full energy, protons travel at 99.9999991% the speed of light.
They complete 11,245 orbits of the 27 km ring per second.
600 million particle collisions happen per second.

The engineering to maintain a 27 km machine at -271 degrees C, continuously, while 600 million collisions happen inside it every second, is more remarkable than most people appreciate.

[Shaun Fosmark @Shaun_Fosmark]

I want to talk about this Navier Stokes result for a minute because I see alot of people sharing it and not nearly enough people explaining it. A share for this one would be appreciated.

The Navier-Stokes equations are just Newton's second law of motion, F=ma, adapted for liquids and gases. Instead of tracking the acceleration of a solid object, the equations track how a bit of fluid moves, deforms, and flows as different forces push and pull on it. The reason these equations are so notorious, and the subject of a million dollar mathematics prize, is because of turbulence. Smooth, layered flow, or laminar flow, is relatively straightforward to calculate. But once the fluid speeds up and turns into a chaotic turbulence mess, the mathematics become incredibly non linear. The fluid's movement feeds back into itself, creating unpredictable, swirling eddies that become so complex you baisically need a super computer to simulate it.

Ok so what the hell is the millennium prize then?
The millennium prize is for proof that the equations can result in a singularity or what you see referred to as a "blow up". This is where the equations essentially go to infinity.

Ok so why doesnt your cup of tea blow up or turn into a singularity that swallows your house? The Navier Stokes prize isnt about proving that nature makes blow ups or singularities possible, its about proving the limitations of the model's mathematics.

Ok so why can a model allow for things we dont observe? This is THE SAME type of mathmatical allowance that general relativity gives when the model breaks down around black holes. The chance that a black hole is an actual singularity where everything goes to infinity is basically zero. Thats not how the universe actually works.

Ok so WHY is this possible in the model? The Navier Stokes equations assumes fluid is an infinitely divisible, perfectly smooth substance. In the math, you can zoom in forever, and it remains a continuous fluid. But that's NOT how a real fluid in reality is structured. Real fluids are made of discrete, individual molecules bumping into each other. Theres a real limit to how far you can zoom in. In the proof and the model it means that as a vortex shrinks and speeds up, it eventually gets smaller than the distance between individual water molecules. This cant happen in reality.

So the millennium prize isnt about finding if nature allows for infinite turbulence or eddies until a singularity forms, its about FINDING THE LIMITATION OF THE NAVIER STOKES EQUATIONS, proving global regularity false.

Ok so why all the drama with the Open AI solution? It used a method called "forcing". In the simulation they essentially used a continuous force to keep the vortex spinning faster and faster until it blows up, the vortex is smaller than the actual molecules that the fluid is made of. It goes to infinity in a time period that ISNT infinity. While the millennium prize doesnt specifically PROHIBIT forcing, most mathematicians would agree that they are specifically interested in the unforced proof, the spontaneous blow up. But that doesnt mean the result isnt legitimate.

I hope this clears up some of the misunderstanding.

[slash1s @slash1sol]

10,000 OPENAI AGENTS SOLVED A $1 MILLION PROBLEM IN 88 HOURS

For nearly 90 years, mathematicians could not determine whether the Navier-Stokes equations can break down while describing fluid motion.

-> Now OpenAI says it has found the answer.

The company deployed around 10,000 agents powered by an internal model significantly more capable than GPT-6 Astra.

They worked in parallel, exchanged 2.7 million messages and generated roughly 130 billion output tokens.

The digital team produced a proof in 88 hours.

The system showed that an initially motionless fluid can develop a singularity under certain conditions. Its velocity grows without bound within a finite amount of time.

GPT-6 Astra then spent another 17 hours formalizing and verifying the result in Lean.

The computation cost millions of dollars, but the company does not plan to claim the prize.

The proof must also survive independent scrutiny from mathematicians.

OpenAI just demonstrated a new model for scientific discovery.

A single AI is no longer trying to replace one scientist.

Thousands of agents can now form a digital research lab and compress decades of human work into days ↓

[Mathematica @mathemetica]

In 1822, Claude-Louis Navier took Euler’s inviscid equations and added what real fluids actually do: they resist.

Working from Laplace’s picture of molecules tugging on one another, he wrote the first viscous-flow law. His memoirs of 1821–1823 (read 18 March 1822, printed 1822 and 1827) gave the world the Navier–Stokes equations.

George Gabriel Stokes found them again in 1845, recast them in the continuum form we still use, and argued that fluid at a wall should not slip. That no-slip condition, once debated, became the everyday boundary of pipes, wings, and arteries.

Engineers compute them every day. Mathematicians still cannot close the book. In three dimensions nobody knows whether a smooth flow stays smooth forever or can blow up.

The Clay Millennium Prize for that question remains unclaimed in 2026. The equations work. Their deepest proof does not.

[Mark Chen @markchen90]

We solved Navier-Stokes!

Many of my colleagues left their fields because they believed that working on AI would be the fastest way to solve their fields' grand challenges.

It's surreal to see the first of those challenges fall and to watch a future we believed in become real.

[Lee J. R. @Leeriber]

@AshuAshuchu Demasiado serio sus implicaciones.

[OpenAI @OpenAI]

We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.

The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.

The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.

[NSFVoyager2 @NSFVoyager2]

I am currently ~19h 52m 32s of light travel time from Earth (2026:249:000000:2L)

[Lee J. R. @Leeriber]

Esto es lo que somos.

[Guillerod @guillerodph]

Reporte de hoy.

[Guillerod @guillerodph]

Reporte de hoy.

[Lee J. R. @Leeriber]

Demasiadas energías para tan poca materia… mi eclipse lunar 😍 #neiva

[Ashish rai @journorai]

चीन का हेलीकॉप्टर उस जगह पहुंचा जहां ग्लेशियर टूटा था और उससे निकले पानी ने नेपाल में भारी तबाही मचाई थी। इस घटना को GLOF कहते हैं।

ग्लेशियल लेक आउटबर्स्ट फ्लड (#GLOF) तब आ सकता है, जब ग्लेशियर द्वारा रोकी गई झील का बांध अचा��क टूट जाए। 🌊🧊

पानी के दबाव और ग्लेशियर में बनी दरारों से बाहर निकलने का रास्ता बन जाता है। इसके बाद झील में जमा भारी मात्रा में पानी और मलबा बेहद तेज़ रफ्तार से पहाड़ों से नीचे की ओर बहता है, जिससे अचानक और विनाशकारी बाढ़ आ सकती है।

#GlacialFlood #NepalFloods #Nepal

[Lee J. R. @Leeriber]

@DanielMonroyH Tu biografía dice que eres Maestrante de gobiernos; y veo tu tweet y me digo: ¡vaya manera de refutar y hacer oposición! Y no me sorprende, así es la cultura y filosofía que pretenden sembrar en el país y a las personas, odio y pobreza mental, como sus seguidores.

[Lee J. R. @Leeriber]

@AnaErazoR @BluRadioCo @ABDELAESPRIELLA No se si es gracia o tristeza pero soy empatico y entiendo esas personas que no saben ya qué inventar para juzgar la excelente labor que está desempeñando el Sr Presidente; imagínese comparar tremenda labor tan pobre y pusilánime que hizo esa Sra Francia con la del presidente…

[Lee J. R. @Leeriber]

@Vitus_osst El gesto puede parecer el mismo, pero la persona ante quien te arrodillas no lo es; a un hombre se le respeta; a Jesús se le adora! No confundas el honor que merece un simple hombre pecador como todos nosotros con la adoración que pertenece solo a Jesús!

[Lee J. R. @Leeriber]

@Vitus_osst Si besar los pies del papa es un acto de veneración, hay que preguntarse qué sentido tiene hacerlo ante un simple hombre; en Lucas 7, aquella mujer no estaba exaltando a un hombre cualquiera: estaba postrada ante Jesús; el fariseo vio una pecadora; ella reconoció al Salvador..

[Lee J. R. @Leeriber]

@cristiancadari Realmente los que estudiamos, meditamos y damos por sentado fechas reuniendo miles de hechos culturas y épocas llegamos a conocer algo que los mismos curas y hasta el papá sabe muy bien; son la gran ramera!

[Lee J. R. @Leeriber]

@cristiancadari Óiganme esto si ya se rebasó la copa… amigo, quizás lo que mencione se lo otorgo por los libros Apócrifos que contiene que de hecho no tienen nada de inspirado por Dios sino simples relatos; si los católicos siguieran los principios bíblicos no serían católicos; amigo estudia!

[Lee J. R. @Leeriber]

@Beltran5437971 @ciudadliveblog1 @QuebrachoAlert Como Jehová no impide que algunas personas se hagan testarudas, se dice que ‘deja que se obstinen’ o ‘endurezcan sus corazones’, cuando finalmente ejecuta venganza sobre los tercos, demuestra su gran poder y hace que se reconozca su nombre.

[Lee J. R. @Leeriber]

@Beltran5437971 @ciudadliveblog1 @QuebrachoAlert Tienes razón, pero dejaré que solo opine la verdad, la Biblia misma porque está escrito: