QED Prerequisites Geomemtric Algebra 22 Relative Vectors

preview_player
Показать описание
In this lesson we introduce the notion of "relative vectors" which will being our connection with the 3D geometric algebra. We discuss a new way to split the spacetime algebra's bivector basis using the timelike basis vector \gamma_0.

The software I usually use to produce the lectures is:

Рекомендации по теме
Комментарии
Автор

y10I = y32
y20I = y13
y30I = y21

I think you had at least y13 backwards. Obviously y is gamma. The canonical basis is usually like this, where the indexes rotate, rather than increase.

davidhand
Автор

@1:31 minor typo in your foreshadowing: you said hyperbolic sine, but wrote sin(phi/2) not sinh(phi/2)

PeeterJoot
Автор

The elements gamma23 etc are inconsistent with them being gamma10 times I. Not truly important to the points being made in this lecture, but do not let those mistakes confuse you...

leodorst