6.1 The essence that light propagation is independent from its source.
Under the stimulus of a light source, the produced preliminary WG pulses enter the WG ether. According to wave theory, the WG pulse current induces the perturbation in the WG ether and reacts on the source, resulting in an intermittent pulse emitted from the source. Such wave-particle interference or more correctly the standing wave propagating form is indeed the equalization of the light energy, and the essential mechanism of wave-particle duality.
Obviously, under the above-mentioned mechanism, the propagating speed of the
electromagnetic wave only depends on the character of WG ether, and is
independent of the motion of the light source.
6.2 The Lorendz transformation and its two premises in WG theory
two inertial coordinates k and k, the coordinate transformation to describe the same
event must satisfy the following conditions:
(1) The inertial coordinates k and k drag the WG ether in their individual coordinates completely or strongly. Refer to chapter 4 and the relevant contents about the Effective dragging (to WG ether) indirectly
(2) The sensor and sending of an event between the coordinates k and k must be by light ray and light sensor.
Using the above the two conditions we can prove that the rules of motion of the
WG in optical state is a Lorentz invariant, ie. They are invariant under
Lorentz group SO (3,l) operation. Consider two observers
in k and k. Assume that they bring a clock and a flash lamp with them. Let the
observer in k emit two light signals in time interval T on ks clock. It means that
two pulses that produce two perturbations in WG ether will disturb the WG
substance in the lamp. We assert that at least on ks clock the time interval of
receiving two such signals must be proportion to
T, denoted as aT, with a representing
the character of
motion k in respect to k. If k and k are inertial
observers, a must be a
constant independent of time. Since we
have assumed they are equivalent to each other, the application of the transformation in
two inertial coordinates is
exchangeable, and a must be the
we can assume their clocks have been calibrated to zero when they meet. At that time k
emits a signal to k, and k will receive it immediately. After an interval T, k
emits a signal to k again and k sends back a signal when he has received the
signal. The time interval for observer
k receiving two signals is aT, and for
observer k is a2 T
The time for the second
signal emitted from k to k and coming back from k to k is (a2
l )T. Therefore a single journey is (a2
l )T / 2. On the other hand, when observer k receives the second signal the
time on ks clock is (a2 +
l) T / 2. At this moment the coordinate of k determined by ks clock is (a2 +
l) T / 2, and the spatial coordinate is (a2
l )T / 2. Therefore the
velocity of k with respect to k is
After simple algebra we get
the following I would like to derive the Lorentz transformation. Assume that (x, t) are
coordinates of observer k, being used to denote an event P. The observer k sends a light
signal through WG ether to event P at time t-x, and has it back at time t+x.
Similarly k observer using coordinate (x, t) to denote the same event P sends a signal to P at (t-x) and has it back at (t+ x) (Fig. 2). Again we assume their clocks have been calibrated. Using the above argument we have
x = a ( t x )
t + x = a ( t +
From (6.3) we get
Using (6.1) and (6.2) we have
This is exactly the Lorentz
transformation formula. From it we have also
x2 = t2 x2
The equation (6.6)
exhibits the essence of the invariant in the WG optical state
propagating in the WG ether reserving invariant of space-time under Lorentz transformation.
In fact the above argument is valid for pure spatial rotation
(x2 + y2 + z2) is invariant. Equation (6.5)
represents a velocity transformation in x direction.
Replacing v by tanh?1 , (6.8) can be
Similarly the other two
Lorentz transformations are
definition of the infinitesimal generator is
Where the Ji and Ki construct the Lie algebra of the Lorentz group.
[ Ji , Jj ] = i eijk Jk , [ Ki , Kj ]=- i eijk Jk , [ Ji , Kj ] = i eijk Kk .
The lorentz group play an important part in physics. According to WG ether and WG postulate, this Lorentz transformation can only be used in estimating some physical value under the two above-mentioned premieres matched conditions.