A widely circulated video purporting to show interstellar object 3I/ATLAS violating the laws of physics has ignited fierce debate across both scientific and amateur astronomy communities. The footage, ...

Abstract We propose a novel mathematical framework that addresses all seven Millennium Prize Problems through a unified geometric approach utilizing 7-dimensional hyperbolic manifolds with G₂ holonomy ...

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This work introduces a new family of strain tensors based on the hyperbolic sine function: The Generalized Hyperbolic Sine (GHS). This family is obtained by using any given strain measure as an ...

Decades of research has viewed DNA as a sequence-based instruction manual; yet every cell in the body shares the same genes – so where is the language that writes the memory of cell identities?

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

In the early 2000s, a young graduate student at Harvard University began to chart an exotic mathematical universe — one inhabited by shapes that defy geometric intuition. Her name was Maryam ...

Department of Computer Science, Metropolitan College, Boston University, Boston, MA, United States On the other hand, using MAD offers a direct measure of deviation and is more resilient to outliers.

A new breakthrough may help scientists solve some of the mysteries of the quantum realm. For the first time, physicists have been able to measure the geometrical 'shape' a lone electron adopts as it ...