A Google AI solves a famously impossible mathematical problem

They already draw images, write texts and predict financial markets. Now, they tackle the very history of sciences. Humanity thought some riddles were eternal, locked by centuries of failures. Yet, a Google DeepMind AI has just broken this invisible wall. What mathematicians called “the impossible” has become a playground. The result goes beyond laboratories: it could transform aeronautics, climate, and even the way research is conducted.

When AI becomes the creative partner of mathematicians

The AI news: the Navier-Stokes equations govern fluid motion. They condition weather, aircraft turbulence, cyclone formation. Problem: they are among the seven Millennium Prize Problems, never solved. DeepMind chose a different approach: feeding Physics-Informed Neural Networks with simulations, to explore extreme fluid behaviors.

Result: a new family of singularities emerged, later confirmed by mathematicians from New York University and Stanford. Yongji Wang, lead author of the study, explains bluntly:

By integrating mathematical intuitions and achieving extreme accuracy, we transformed PINNs into a discovery tool capable of revealing elusive singularities.

This moment marks a tipping point: AI is no longer a simple calculator, it becomes co-author of research. Experts already talk about a revolution in the way proofs are produced.

AI and fluids: a breakthrough with global repercussions

The most surprising is not only the discovery, but the level of precision achieved. Researchers talk about errors equivalent to measuring Earth’s diameter with a margin of a few centimeters. This rigor paves the way for computer-assisted proofs, capable of establishing the validity of results long deemed out of reach.

This technical leap is not merely academic. The unstable singularities discovered follow a regular pattern, suggesting the existence of other yet invisible solutions. These advances directly impact concrete sectors:

Some key facts to remember

• A 150-year-old problem: the Navier-Stokes equations date back to the 19th century;
• A global challenge: solving them could improve climate models and storm forecasting;
• An industrial revolution: designing more efficient airplanes, reducing fuel consumption;
• A new scientific method: computer-assisted proofs, hybridizing AI and mathematics.

The discovery illustrates a new method: systematic exploration of previously inaccessible mathematical landscapes. AI now traces paths for humans to validate.

This breakthrough shows both the power and the vulnerability of artificial intelligences. Their potential attracts as much as it worries. To the point that some digital leaders, like Vitalik Buterin, are already considering alternatives to secure their development. Because if AI opens unprecedented horizons, it also reminds us that every new power requires increased vigilance.