In 1998, astronomers discovered dark energy. The finding, which transformed our conception of the cosmos, came with a little-known consequence: It threw a wrench into the already daunting task of ...

In this video, we explore the relationship between string theory and quantum field theory (QFT). QFT is a mathematical framework that describes nearly all particles and forces in the universe but ...

We present a unified geometric framework in which spiral compactification with torsion and monodromy locking defines a minimal invariant structure governing spectra, interactions, and stability in a ...

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Abstract: The behaviour of the moment-sums-of-squares (moment-SOS) hierarchy for polynomial optimal control problems on compact sets has been explored to a large extent. Our contribution focuses on ...

Abstract: The projective line PP^1 is the only algebraic curve on which every degree 0 divisor is principal. For any other algebraic curve, it is thus natural to ask when a ‘random’ divisor on the ...

In a cosmological context, the Einstein-Gauss-Bonnet theory contains, in d + 4 dimensions, a dynamical compactification scenario in which the additional dimensions settle down to a configuration with ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

The study of string compactification has led to a vibrant interplay between mathematics and the real world. On the one hand, mathematical advances have vastly expanded our understanding of ...