field arising from special relativity
The velocities and of two bodies moving along a line obey, by the special theory of relativity, the addition rule
By (1) we get
for ; so behaves like the infinity.
One can define the mapping (http://planetmath.org/mapping) by setting
which is easily seen to be a bijection.
Then the system may be checked to be a ring and the bijective mapping (2) to be homomorphic (http://planetmath.org/structurehomomorphism):
Consequently, the system , as the homomorphic image (http://planetmath.org/homomorphicimageofgroup) of the field , also itself is a field.
Baker  calls the numbers of the set , i.e. ,
the Einstein numbers.
|Title||field arising from special relativity|
|Date of creation||2016-04-20 13:42:53|
|Last modified on||2016-04-20 13:42:53|
|Last modified by||pahio (2872)|