This short article explains how relativistic transformations can be replaced by the Doppler

effect when it affects mass.

The simplest formulation of relativistic mass and the Einstein invariance is

m0 = m sqrt(1 – v2/c2)

, where m0 is the rest-mass. The remainder of the Doppler effect for light affecting mass is

mS = m0 sqrt[(1 – v/c)/(1 + v/c)]

, where mS is the source-mass. These two equations together are the same as the full Doppler

effect for light affecting mass (causing mass change), namely

mS = m(1 – v/c)

, where the source-mass takes on the traditional place of the rest-mass. The resulting kinetic

energy is

KE = mc2 – mSc2 = pc

, where p is the impulse p = mv.

1 May 2012, Oegstgeest

Brouwer, P.J.

#### About PJB1979

Pieter Brouwer has written 10 post in this blog.