B. The experiment of T.S. Jaseja et al. in 1964.
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Physical review, Volume 133, number 5A, (1964), pp. A1221-A1225.
By use of I.R. He-Ne MASERs perpendicular to each other, the authors expected to detect a frequency variation of the beat between them when the Earth is in rotation or when the whole apparatus changes of direction in space.
But in fact, according to the GTWMC theory, no change of the mode frequencies is possible in the moving frame, like also for the atomic transition used for the MASER effect.
To see that, we consider first in the rest frame, one arm (MASER) of the apparatus.
When the arm is orthogonal to the ether-wind vector and in order to maintain the electromagnetic energy created inside the cavity, the Poynting vector must make the angle a or -a relatively to the ether-wind vector and which obeys the following formula: cos(a)=v/c (see figure below).
If we consider that the frequencies of the waves are F, the waves equations (up and down) are:
.
According to GTWMC (t=t'/sqrt(1-bb) x=x'.sqrt(1-bb)+vt'/sqrt(1-bb), y'=y, b=v/c), if we consider the first equation in K', we have:
.
Along Y', as the distance between the mirrors is not affected by the Lorentz'contraction, and because the number of wavelengths must not change because it is the same mode, the wavelength along Y' in the cavity in motion must be the same as the wavelength at rest:
.
Thus, the frequency in the cavity frame is: F'=F.sqrt(1-bb)=Fo, the same as at rest.
This result is also valid for the other wave equation.
Now, according to what has been said for the longitudinal resonator in motion, the frequency in a Galileo's frame is F'=Fo.sqrt(1-bb) for the same mode of frequency Fo in the rest frame.
Thus, in a GTWMC frame, the frequency is: F'=Fo.
In conclusion, perpendicularly or in the direction of motion, the MASER has the same resonance frequency for the same mode.
But, as the theory of the electron has proved us also that the internal frequency of the electron follow the law: F'=Fo.sqrt(1-bb) in the Galileo's frame, we have good reasons to believe that the atomic transition used by the MASER obeys the same law, and that in the GTWMC frame the frequency remains F'=Fo.
Thus, if one MASER doesn't change of frequency when its direction is modified in space, no beat frequency variation is expected.
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