Topic: mathematical proof
-
Study: AI Agents Face a Fundamental Mathematical Limit
A new mathematical proof establishes that large language models (LLMs) have an inherent limit on processing complex, multi-step tasks, challenging the assumption that scale alone leads to human-like autonomy. This finding places a theoretical ceiling on current AI's potential for open-ended reaso...
Read More » -
Origami Unlocks a Major Physics Mystery
A mathematician linked origami crease patterns to the amplituhedron, a geometric shape that encodes particle collision probabilities, confirming a key physics conjecture about its subdivision. The amplituhedron simplifies calculating scattering amplitudes in particle physics by replacing complex ...
Read More » -
AI Uncovers Hidden Flaws in Fluid Equations
The Navier-Stokes equations are a foundational model for fluid motion, but a key unresolved question—whether they can predict impossible physical infinities—is a major mathematical challenge with a million-dollar prize. Recent research has used machine learning to identify potential "unstable sin...
Read More »