SHORTCUT TO ALICE LAW
February 24, 2018
1) Let’s discuss a signal transmitter whose wavelength is λ0
and frequency is f0 . Here, we have the following equation:
c = λ0 . f0
2) If a signal emitted from the transmitter is moving towards a frame
in motion, signal wavelength will, because of the Doppler Effect, go
through a change as much as λ1 = λ0 (c±v)/c.
Here, ±v value is the approaching (-v) or moving-away (+v) speed of the
moving frame relative to the transmitter.
3) Wave speed equation is as follows:
WAVE SPEED = WAVE FREQUENCY x WAVELENGTH
4) Therefore, the speed of the wave that a transmitter sends to a
target in motion relative to the its reference system is as follows;
Outgoing
Wave Speed = c' = f0 . λ0 . (c±v)/c = f0 . λ1
(So, it is always different from c)
c'= f0 . λ0
(c±v)/c[1]
c = λ0 . f0
[2]
Based on [1] and [2], we can present the speed of a signal sent to a
target that is in motion relative to the reference system of the
transmitter as indicated below [3];
c' =
c±v [3]
5) What will be the speed of the incoming signal that comes towards the
arrival target relative the reference system of the arrival
target?
Relative to the reference system of the transmitter, as the speed of
the signal it emits is c' = c±v and the speed of the frame which is the
arrival target of the signal is ±v; relative to the reference system of
the arrival target, the approaching speed of the signal that comes
towards it is;
Incoming
Wave Speed = c±v - (±v) = c
(So, it is always constant.)
The
speed of a signal going towards a target in motion has not been
measured so far. In the near future, science of Physics is going to
carry out this measurement and lead itself towards the right
direction.
Han Erim
