Black hole and Big Bang singularities break our best theory of gravity. A trilogy of theorems hints that physicists must go ...

ALGEBRAIC geometry, in spite of its beauty and importance, has long been reproached for lacking proper foundations. Great discoveries have been made, especially in Italy, by the intuition of a ...

For some time now, researchers have been working on alternative models that are free of singularities. A new paper published in the Journal of Cosmology and Astroparticle Physics, the outcome of ...

This new tool bridges algebra and geometry, solving for equations involving polynomials of any degree. Through this new sequence, the researchers identified a novel mathematical pattern ...

What emerges isn’t a timeline, but a relational web—a frozen geometry of contextual meaning. In other words, before a model says a single word, it builds a map. And these maps or blocks exist ...

Learn more. If ever a game needed redeemable codes then Geometry Dash is it. This complex musical tile game will require every small help to crack the vaults. There is a catch in the game ...

ABSTRACT: Let Δ be a (d ? 1)-dimensional pure f -simplicial complex over vertex set [n]. In this paper, it is proved that Δ being minimal CM implies d ≥ 3 and n = 2 d. It is also indicated that ...

Our work group represents the fields of operator algebras and noncommutative geometry in teaching and research. The current focus of our research is structure of C * algebras and more general ...

Sir Roger Penrose — Knight of the Realm, Emeritus Rouse Ball Professor of Mathematics at Oxford University, controversial author, and polymath extraordinaire — is worried that his car might be towed.

This naturally leads to models of black holes without singularities, like those explored in the work of Liberati and his collaborators. One of the interesting aspects of the new paper is its ...