An investigation of the changing behaviour of a single quantum bit through time has uncovered a tantalising similarity to the ...

it is shown that a phase-only hologram placed in the pupil plane of an objective and illuminated by a spatially chirped ultrashort pulse can be used to generate three-dimensional arrays of spatio ...

we shall get the idea of a four-dimensional solid, which may be called a sur-solid. It will assist us to get a clearer idea, if we consider a solid which is in a constant state of change ...

asking what four-dimensional shapes can be obtained by deforming four-dimensional Euclidean geometry. The article by Heikkilä and Pekka Pankka has been published in the Annals of Mathematics journal.

A new proof solves the “Kakeya conjecture” in three dimensions, opening up a new set of possibilities for mathematics, from computer science to cryptography ...

Two-dimensional experiments in 2018 showed evidence of four-dimensional existence. Electrons moved in two dimensions when influenced by a magnetic field, hinting at how a similar effect would ...