Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

Banach space theory is a central branch of modern functional analysis concerned with the properties of complete normed vector spaces. This area of mathematics encompasses the study of geometric ...

Fragments of energy may be the fundamental building blocks of the universe. The theory combines the ideas of particles and waves into a concentration of energy that flows throughout space and time.

A new physics paper takes a step toward creating a long-sought "theory of everything" by uniting gravity with the quantum world. However, the new theory remains far from being proven observationally.

Rising launch cadences have dramatically increased orbital debris, posing critical risks to spacecraft and operations, as highlighted by incidents like the Shenzhou-21 stranding. The primary barrier ...