In geometry and physics, spinors (pronounced "spinner" IPA / spɪnər /) are elements of a complex vector space that can be associated with Euclidean space.

Dec 13, 2013 · We introduce spinors, at a level appropriate for an undergraduate or first year graduate course on relativity, astrophysics or particle physics. The treatment assumes very …

What are spinors? 🤔 In physics, spinors are special objects that describe particles like electrons. They behave unlike anything else: a 360° rotation doesn’t bring them back — it flips their...

Mar 18, 2025 · Spinors are mathematical objects used to describe the quantum states of particles like electrons. Unlike vectors, which you might be more familiar with, spinors have unique …

Dec 3, 2025 · A two-component complex column vector. Spinors can describe both bosons and fermions, while tensors can describe only bosons.

Spin (p, q). 1 The corresponding matrices typically have different sizes, acting on vectors and spinors, respectively, although the Lie algebras spin (p, q) and so (p, q) are isomorphic.

If you’ve ever taken a dive down the rabbit hole of theoretical physics, you might well have come across a mysterious piece of mathematical machinery known as a spinor. If not, you should …

In geometry and physics, spinors (pronounced "spinner" IPA / spɪnər /) are elements of a complex vector space that can be associated with Euclidean space.

Apr 1, 2011 · A spinor is a two-dimensional vector, (b a), with complex components a and b. Spinors were first applied in physics by Wolfgang Pauli; the term spinor was coined by Paul …

Algebraic spinors, classical spinors, and spinor operators are presented and, based upon the periodicity theorem and the Clifford algebras representations, classified for arbitrary fine …