spacetime algebra (STA) is the application of Clifford algebra Cl1,3(R), or equivalently the geometric algebra G(M4) to physics. Spacetime algebra provides...

geometric algebras applied in physics include the spacetime algebra (and the less common algebra of physical space) and the conformal geometric algebra. Geometric...

(3+1)-dimensional spacetime, representing a point in spacetime via a paravector (3-dimensional vector plus a 1-dimensional scalar). The Clifford algebra Cl3,0(R)...

quantum spacetime, and to Robert Oppenheimer, who carried it to Hartland Snyder, who published the first concrete example. Snyder's Lie algebra was made...

The action is the relativistic arclength of the path of the particle in spacetime, minus the potential energy contribution, plus an extra contribution which...

\mathbf {B} \right)=0} We can identify APS as a subalgebra of the spacetime algebra (STA) Cℓ1,3(R){\displaystyle C\ell _{1,3}(\mathbb {R} )}, defining...

relativity, a theory that explains the force of gravity and the structure of spacetime at the macro-level. The other is quantum mechanics, a completely different...

form is not a Lorentz transformation of the underlying spacetime. The Clifford algebra of spacetime used in physics thus has more structure than Cl4(C)....

real and one complex coordinate, or using tensors. Spacetime algebra is a type of geometric algebra, closely related to Minkowski space, and is equivalent...

depend on the metric of spacetime. This means that the theory is not sensitive to changes in the shape of spacetime; if spacetime warps or contracts, the...