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The Millennium Problem
Amélie Dupont
Amélie Dupont examines how an OpenAI model resolved the Navier–Stokes Millennium Problem. Tracing vortex stretching, singularity formation, and external forcing, she explains how the construction satisfies one of the alternatives allowed by the original problem.
+ French version
Twin Universes and Bimetric Gravity
Jean-Pierre Luminet
Jean-Pierre Luminet traces twin-universe cosmology from Sakharov to modern bimetric gravity, examining negative mass, quantum-cosmological models, and the Janus model, and argues that ambitious alternatives to standard cosmology must meet the demands of mathematical consistency, stability, and rigorous observational testing.
+ French version
A Truncated Manuscript
Pierre Schapira
In the mid-1980s, an enigmatic document began circulating in French mathematical circles. Pierre Schapira casts a critical eye over Alexander Grothendieck's Récoltes et Semailles, now published officially for the first time.
Planetary Intelligence
Charles Lineweaver
Can the idea of intelligence as a collective property be extended to a planetary scale? A recent paper explores possible trajectories for the long-term evolution of inhabited planets, including our own.
A First Year of Discovery
Casey Papovich
As one of the scientists who will be using the James Webb Space Telescope, Casey Papovich examines how the Webb may answer deep questions about exoplanets and the formation of the first galaxies.
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