LLMs and string theory suggest that language and reality both emerge from projections across hidden dimensions.

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Mathematicians’ Favorite Shapes Hold the Key to Big Mathematical Mysteries ...

These three humble yet immensely talented artists have poured their hearts and stories onto canvas through Cubism, Calligraphy-inspired designs, and Abstract compositions. Each artist brings a ...

Orbitofrontal cortex and hippocampus reinstate representations of causal choices to associate with delayed outcomes, and the frontal pole supports this credit assignment process by maintaining pending ...

Under the conditions of the Hamiltonian principle, information is exchanged between two masses during an interaction by ...

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the ...

It covers differential geometry far beyond what general relativists perceive ... the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing ...

We further investigated two measures of concentricity (“LV geometry”), as high concentricity is associated with excess morbidity. Relative wall thickness (RWT) was LV wall thickness/chamber diameter, ...