Geometric algebra of spacetime, a.k.a. More...
Classes | |
| class | CartesianChart4D |
| class | SphericalChart4D |
Typedefs | |
| typedef CartesianChart4D ::pseudoscalar | pseudoscalar4 |
| The 4-dimensional pseudoscalar i. | |
| typedef CartesianChart4D ::vector | vector |
| 4-Vectors in minkowskian space. | |
Detailed Description
Geometric algebra of spacetime, a.k.a.
Spacetime Algebra (STA), by which we mean the Clifford algebara over Minkowskian, four-dimensional space.
http://arxiv.org/ftp/physics/papers/0511/0511247.pdf http://www.mrao.cam.ac.uk/~clifford/introduction/intro/node11.html
The STA has the structure 1 4 6 4 1, i.e. one scalar, four vectors, six bivectors, four tri-vectors and one pseudoscalar:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Respectively, a bi-vector consists of 6 components, a tri-vector of four components and a vector of one component.
Typedef Documentation
◆ pseudoscalar4
| typedef CartesianChart4D ::pseudoscalar Eagle::STA::pseudoscalar4 |
The 4-dimensional pseudoscalar i.
The unit pseudoscalar obeys i*i=-1.
◆ vector
| typedef CartesianChart4D ::vector Eagle::STA::vector |
4-Vectors in minkowskian space.
The basis vectors are denoted by 
