Measurement of the relative velocity between an electromagnetic wave and its source/observer using the Doppler effect
The velocity of light is independent of the velocity of its source/observer. But the relative velocity between light and its source/observers is dependent on the velocity of the light source/observer, and this does not conflict with the first assumption. The velocity of light is <mml:math display="inline"> <mml:mi>c</mml:mi> </mml:math> everywhere and for everyone, but velocities <mml:math display="inline"> <mml:mrow> <mml:mi>c</mml:mi> <mml:mo>+</mml:mo> <mml:mi>v</mml:mi> </mml:mrow> </mml:math> and <mml:math display="inline"> <mml:mrow> <mml:mi>c</mml:mi> <mml:mo>−</mml:mo> <mml:mi>v</mml:mi> </mml:mrow> </mml:math> , where <mml:math display="inline"> <mml:mi>v</mml:mi> </mml:math> is the velocity of a light source/observer, do not represent the velocity of light, but the relative velocity between light and its source/observer. The velocity of light can, thus, be added to and subtracted from any velocity—giving a measurable relative velocity. A simple and common proof for this is the Doppler effect or the working of the Doppler radar. If there were no relative velocity between the electromagnetic wave and its source/observer, then there would be no Doppler effect nor would the Doppler radar work. In this paper, we will measure experimentally the relative velocity between the electromagnetic wave and the source/observer, using the Doppler effect.