The general theory of invariant wave equations

1. It is an admitted fact that Dirac’s wave functions are not the components of a tensor and that his wave equations are not in tensorial form. It is contended here that therefore his theory cannot be upheld without abandoning the theory of relativity. The object of this paper is to formulate a system of wave equations which shall possess the same advantages as Dirac’s equations and which shall be tensorial in form in accordance with the general theory of relativity. Since a tensor is a set of numbers representing in some system of co-ordinates some physical entity, it follows that to every transformation (S) of the coordinate system there must correspond one and only one transformation (T) of the components of the tensor. Moreover the fundamental principle of all relativistic theories is that the product of any pair, T 1 , T 2 , of the transformations (T) must correspond to the product of the corresponding pair, S 1 , S 2 , of the transformations (S). This may be briefly expressed by saying that the groups (S) and (T) are similar.

Download Full-text

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

Behavioral and Brain Sciences ◽

10.1017/s0140525x18001620 ◽

2018 ◽

Vol 41 ◽

Cited By ~ 2

Author(s):

Daniel Crimston ◽

Matthew J. Hornsey

Keyword(s):

General Theory ◽

Biological Markers ◽

Natural Environment ◽

Relevant Dimension ◽

Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

Download Full-text