willynet

In love with Stella, Father of Cecilia, Ximena and Alexis. Maths & Computers passionate ! Working for Microsoft Corporation since 1996. Tech & Biz impact !

[willynet @willynet]

Our superpower is to empower !

[Institute of Art and Ideas @IAI_TV]

For centuries, the ultimate goal of physics and philosophy has been to construct a "God's eye view": a complete, objective account of the universe as a whole.

Yet theoretical physicist Eric Cavalcanti argues that a deep paradox at the heart of quantum mechanics throws a wrench into this idea.

Walking through a simple thought experiment, he demonstrates why no observer can stand outside the system and why reality is fundamentally perspectival.

Tap here to read more. https://t.co/r65pmLdXq7

[Vala Afshar @ValaAfshar]

MIT professor delivers a brilliant masterclass on how to effectively present your ideas with clarity, high impact and purpose; 15 key insights

[New Scientist @newscientist]

AI-powered proof has rigorously proved that using quantum computers would not have huge advantages for a whole class of mathematical problems, confirming a vastly influential conjecture. https://t.co/5fW99xOTrI

[Massimo @Rainmaker1973]

Scientists just cracked the multiple sclerosis code after decades of searching.

Two specific gut bacteria are triggering the disease, and they've proven it using identical twins and mice.

This changes everything we know about the pathology.

[Math Files @Math_files]

Famous Mathematicians ❤️

[Steven Strogatz @stevenstrogatz]

Writing about math for a wide audience is tricky. Here are some pitfalls we fell into, and lessons we learned along the way. https://t.co/wpLFOhjuwh

[New Scientist @newscientist]

Quantum theory assumes that only the present, not the past, has an influence on the future. Now there are hints that could be wrong, and if so some of theory's most bizarre implications could make a lot more sense https://t.co/ky1n88Fk28

[Steven Strogatz @stevenstrogatz]

When AI becomes an oracle, what happens to mathematics?

https://t.co/QYJfh7dBsB

[Quanta Magazine @QuantaMagazine]

In the 1960s, the molecular biologist Sol Spiegelman created a synthetic mutating strand of RNA and nicknamed it “the little monster.” His studies were the world’s first experimental demonstration of Darwinian evolution at the molecular level. https://t.co/FfgcyUz7UU

[New Scientist @newscientist]

Columnist Chanda Prescod-Weinstein says understanding neutrinos is one of the most pressing scientific issues in physics. She shares the latest neutrino discoveries that are exciting her and that could bring us new insights about the galactic centre.

[matharium @matharium]

Terence Tao says that the AI proof on the Navier–Stokes problem is correct, yet mathematicians learned almost nothing from it. The proof is 100 pages, AI-generated and full of issues in its text, but a formal certificate in the language Lean confirms it.

Navier–Stokes is a Millennium Prize problem that asks whether the equations for fluids like water can start smooth and then blow up, with velocity or pressure becoming infinite. Human mathematicians came very close, and OpenAI ran its biggest model, with millions of dollars of compute, to get there first.

A human proof normally comes with talks on what was tried, what worked and what it connects to, like picking fruit and planting the seeds. Tao calls this one strip mining: the fruit taken, the landscape left barren. One colleague, using lots of AI, could explain only half of it after days of work.

[Math Files @Math_files]

The physicist who spoke five words that took another scientist two days to understand

In the 1930s, Polish physicist Leopold Infeld visited Paul Dirac at Cambridge.

He had no idea how difficult it would be to have a conversation with one of the greatest theoretical physicist of the twentieth century.

Infeld climbed the wooden stairs of St John's College and knocked on Dirac's door.

Dirac welcomed him with a friendly gesture and offered him a chair.

Then came complete silence.

Infeld explained that he spoke very little English.

Dirac smiled but said nothing.

He mentioned that Ralph Fowler had suggested a research problem involving positrons.

Still nothing.

Finally, Infeld asked whether Dirac had any objection to his working on the problem.

"No," replied Dirac.

Infeld began explaining his ideas and took out his pen, but it refused to write.

Without uttering a word, Dirac brought him paper and handed him a pencil.

Infeld then asked another scientific question.

Dirac answered in just five words.

Those five words, Infeld later recalled, took him two days to understand.

Before leaving, Infeld asked whether he could return whenever he encountered difficulties.

"No," said Dirac.

This time, of course, he meant that he did not mind.

Infeld left surprised and discouraged, uncertain what to make of the encounter.

He later learned that Dirac's silence was famous among his colleagues.

The story comes from Infeld's own autobiography, Quest: The Evolution of a Scientist (1941), and is reproduced by Walter Gratzer in Eurekas and Euphorias.

I find the most interesting detail to be Dirac's quiet helpfulness. He offered paper, found a pencil, and answered the scientific question, all while saying almost nothing.

A conversation can be extremely short and still contain a great deal of physics.

[Scientific American @sciam]

Isaac Newton invented infinitesimals, which gave birth to the field of calculus—or so they story goes. But there was another mathematician coming up with the same concept at the same time

https://t.co/nnrwTpPatq

[Steven Strogatz @stevenstrogatz]

Behind the scenes of the writing of BIG MATH, as recounted in Cornell's news magazine, the Cornell Chronicle. https://t.co/kFr9tkCa1d

[Math Files @Math_files]

On 12 January 1920, Srinivasa Ramanujan wrote to G. H. Hardy describing 17 mysterious functions he called “mock theta functions.”

Decades later, mathematicians recognized their connection to mock modular forms.

In 2012, Atish Dabholkar, Sameer Murthy and Don Zagier showed how related mathematical structures encode the quantum states of certain black holes in string theory.

Ramanujan was studying pure mathematics, not black holes. The physical connection emerged almost a century later.

[Night Sky Today @NightSkyToday]

"The Cosmos is all that is or ever was or ever will be."

- Carl Sagan

[Matheorems @matheorems]

Bayes' Theorem You Can See

A probability is a share of the dots. P(A) is the part of the box covered by circle A, and P(B given A) is the part of A that is also in B: the lens divided by A.

Slide the circles around and every number updates: apart, the lens is empty and both conditionals are 0; tuck B inside A and P(A given B) becomes 1.

The lens is the same in both directions, so

P(B given A) P(A) = P(A given B) P(B)

and dividing gives Bayes' theorem:

P(B given A) = P(B) P(A given B) / P(A)
P(A given B) = P(A) P(B given A) / P(B)

The bottom box computes each one from the other side, live, and it always lands on the same number as the picture above.

[Quanta Magazine @QuantaMagazine]

How did the first cells get energy? Nick Lane, an evolution researcher at University College London, has proposed that porous, energy-rich geological environments may have supported the first metabolic biochemistry and coaxed cells to form within them. https://t.co/3wgGD3rstY

[Quanta Magazine @QuantaMagazine]

RNA isn’t “alive” in itself. It’s easy to imagine, however, how early RNA molecules could evolve into forms that catalyzed metabolic processes. This may be the story behind Earth’s first living protocells. https://t.co/TmrCbJLVAD

[Yuval Noah Harari @harari_yuval]

You can be the richest person in the world, and you will waste all your money and power solving the wrong problems, if you don’t know the true sources of misery and happiness.

From the October 2026 @forum_2000 discussion with @robertguest1. Watch the whole conversation: https://t.co/RyGl4aZrgG