- #1
bernhard.rothenstein
- 991
- 1
time saving and not obscuring way of teaching special relativity theory??
Events could be generated by tardyons in motion. A tardyon moving with speed u in the positive direction of the OX axis of the I frame generates the event E(x=ut,t=x/u). Detected from I' the same event is characterized by the space-time coordinates (g=gamma)
x'=gx(1-V/u) (1)
t'=gt(1-Vu/cc) (2)
Extending (1) and (2) to relativistic dynamics the tardyon has an energy E and a momentum p=Eu/cc. Momentum being a space-like physical quantity (the vector component of the (E,cp) "four" momentum it transforms as
p'=gp(1-V/u)=g(p-VE/cc) (3)
whereas energy as a time like physical quantity and the scalar component of a four vector it transforms as
E'=gE(1-Vu/cc)=g(E-Vp/cc) (4)
The method could be extended to all the four vectors involved in special relativity theory and also in the case of the electric and magnetic fields.
Do you consider that such a way of teaching, complemented with some explanations is time saving and not obscuring?
Events could be generated by tardyons in motion. A tardyon moving with speed u in the positive direction of the OX axis of the I frame generates the event E(x=ut,t=x/u). Detected from I' the same event is characterized by the space-time coordinates (g=gamma)
x'=gx(1-V/u) (1)
t'=gt(1-Vu/cc) (2)
Extending (1) and (2) to relativistic dynamics the tardyon has an energy E and a momentum p=Eu/cc. Momentum being a space-like physical quantity (the vector component of the (E,cp) "four" momentum it transforms as
p'=gp(1-V/u)=g(p-VE/cc) (3)
whereas energy as a time like physical quantity and the scalar component of a four vector it transforms as
E'=gE(1-Vu/cc)=g(E-Vp/cc) (4)
The method could be extended to all the four vectors involved in special relativity theory and also in the case of the electric and magnetic fields.
Do you consider that such a way of teaching, complemented with some explanations is time saving and not obscuring?