Impossible detection of the ether-wind with free E.M. waves.

Apparent constancy of the one-way speed of light.

Clearly if a free electromagnetic wave (for example 5MHZ) synchronized with an atomic clock A is sent along the X' axis of K to an other clock B at the distance D' where the phase of the rf signal received is compared to a signal of the same frequency from clock B, the time needed for the one-way trip which may vary from D'(1-bb)[1/(c-v)] to D'(1-bb)[1/(c+v)] for a 180° rotation would be at first sight able to produce a time phase shift of: 2.v.D'/cc that a simple electronic phase comparator (like those used in PLL) would be able to detect. Thus permitting to calculate the absolute velocity v of the frame (Earth) in space.

Unfortunately the nature has decided to joke with the absolute velocity and to prevent us to detect it an other time here, like in the Michelson-Morley experiment.

In fact, my theory is correct, but something has been forgotten: the change of the frequencies of the clocks during the 180° rotation, which cancel apparently exactly the expected time-phase-shift due to the anisotropy of the speed of light.

To show that, I don't consider here a 180° rotation, but a double translation of the clocks: clock A take the place of B and clock B the place of A along the X' axis of the moving frame, without changing anything else.

The operation is analysed in the rest frame (see figure below) where for clocks A and B, a relative velocity v_r is chosen relatively to the frame K' of velocity v in ether (about 360 km/s on Earth).

-----------A-----------B------->> K'

According to GTWMC, the frequency of the clocks A in motion from the initial place of A to the place of B is: F'=Fo.sqrt[1-sq((v+v_r)/c)] where Fo is the frequency of the clock A at rest in ether.

But relatively to its normal frequency F_o'=Fo.sqrt[1-sq(v/c)], the fractional frequency difference is about: [deltaF'/F_o']= [-v_r.v]/sq(c).sqrt(1-bb).

But in the rest frame as the distance between the two clocks D' is contracted, we have :

D= D'.sqrt(1-bb) and thus the time for the A clock to reach B at the relative velocity v_r is obviously: delta-t =[ D'.sqrt(1-bb)]/v_r.

Thus, in the rest frame, the time-phase difference of the clock A relatively to its normal phase if it would have stayed at rest in K' is: [deltaF'/F_o'].[delta-t]= -v.D'/sq(c).

By exactly the same reasoning as for the A clock, even if the chozen relative velocity v_r is not the same, the time-phase of the clock B change relatively to its normal phase if it would have stayed at rest is also: v.D'/sq(c) but with a positive sign because the frequency of the clock B increases according to the formula:

F'=Fo.sqrt[1-sq((v-v_r)/c)].

But that means that the clock B will be fast of a time-phase-shift of 2v.D'/sq(c) relatively to the initial phase difference between A and B in the rest frame.

Thus due to GTWMC, the phase shift in K' will be:

delta-time-phase=[2.v.D'.sqrt(1-bb)]/sq(c) = about: 2.v.D'/sq(c) which incredibly cancels exactly the expected time-phase shift for the anisotropy of the light speed along the X' axis for a 180° rotation: 2.v.D'/sq(c).

I say " exactly ", because the weak error in the approximation above is undetectable experimentally.

For example if v= 360 km/s (velocity of the Earth in ether), and D'=1000 km, the mathematical error is only : [2.v.D'/sq(c)].[sqrt(1-bb)-1]= -0.0057 ns.

But the present better time transfer between atomic clocks is not able to manage with a so weak time-phase difference.

See, for example: David C. Jefferson et al. A test of precision GPS clock synchronization, Proceedings of the 1996 IEEE International Frequency Control Symposium, pp. 1206-1210.

As it will be shown below, such a result is also valid for the atomic clocks on the GPS satellites which don't stay synchronized around the Earth, but whose variable lack of synchronism is hidden by the anisotropy of the light speed and thus is undetectable, thus permitting the mass hysteria of the physicists in the world to be supported in favour of Einstein's absurdities.

Thus, even with the present absolute ether theory, an attempt to detect the anisotropy of the one-way speed of light with free E-M. waves will prevent the obtaining of a substantial result permitting to calculate the velocity of the Earth in space.

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