The drag coefficient always equals one and the interference field has a non-linear form.

[Lubomir Vlcek]

The drag coefficient always equals one and the interference field has
a non-linear form.
The non-linear form of the interference field
Until recently it has been assumed that the shape of the interference
field is "linear". The corresponding fraction of the shift of the
interference fringes is directly proportional to the corresponding
part of the wave length. If, for example, the distance of two
interference fringes is divided into 100 divisions and the shift of 23
divisions is detected, we thus assume that the change occured over a
length of .
In other words, the shift of the fringes is considered to be
equivalent to the change of length. This view corresponds to the
linear form of the interference field, see fig. 2.12.

Fig. 2.12. The "linear" form of the interference field
What justifies us our assumption that the interference field is
linear? Is the assumption correct?
In physics we are used to picture the experimental results through
curves which are not "saw-tooth" as is the case with the linear
interference field, but which have a nicely rounded shape. Let us
replace the "saw-tooth" linear interference field by some rounded non-
linear interference field.
Let us choose sinusoides or semi-circles instead of the sawtooth
abscissas. In case of semi-circles according to fig. 2.13 we get:

Fig. 2.13. The non-linear form of the interference field
in the 3rd quadrant: , as

(2.46)
In the shifted 1st quadrant

(2.47)
________________________________________
2.2.1. Fizeau's Experiment
Let us revalue the results of the Fizeau's experiment from the aspect
of non-linear interference field. Fizeau [3] used light of wave
length , two tubes, each L=1.4875 m long in which water flowed at
speed u=7.059 m/s. As the experiment is generally known, we shall not
describe it in detail. We shall only reassess its results.
The relation corresponds to equal values of the shift of fringe
supposing the interference field to be linear. In reality the
experimentally observed values from the interval ranged from 0.167 to
0.307 in the average of . That was explained by Fresnel's theory of
partial drag of ether with the drag coefficient . Should we consider
the non-linear form of the interference field, then according to
(2.46) we get

which is in line with the experimentally observed mean value . We do
not need any coefficient . Fizeau's experiment confirms also that the
interference field has a non-linear form.
________________________________________
2.2.2. Harres's Experiment
Harres [4] used two wavelengths of light

which were passing through ten firmly fastened prisms in a rotating
apparatus at speed 400-600 revolutions/min. According to [4], if the
drag coefficient is not included

were , z - is the number of sideral time seconds required by the
apparatus to make 50 revolutions.
After the arrangement
(2.48)
(2.49)
The average value (tab. 1) after substitution in (2.48) gives

Substituing to (2.46) we get

According to the experiment is again in line with the theory of the
non-linear interference field. The comparison of Harres's experimental
values that do not include the drag coefficient with both linear and
non-linear form of the interference field, as well as the results of
Fizeau's experiment, are shown in figs. (2.14)-(2.21).
Fig. 2.14.-2.21. The comparison of Harre's experimental values which
do not comprise the drag coefficient with both linear and non-linear
form of the interference field, as well as the results of Fizeau's
experiment.

Fig. 2.14. Fizeau's experiment [3] p. 392

Fig. 2.15. [4] Tab. 1., 1. Reihe

Fig. 2.16. [4] Tab. 1., 2. Reihe

Fig. 2.17. [4] Tab. 1., 3. Reihe

Fig. 2.18. [4] Tab. 1., 4. Reihe

Fig. 2.19. [4] Tab. 2., 1. Reihe

Fig. 2.20. [4] Tab. 2., 2. Reihe

Fig. 2.21. [4] Tab. 2., 3. Reihe
This is simultaneously proves that the drag coefficient always equals
one and the interference field has a non-linear form. Consequently,
the interference fields are identical only for the shift of the
interference fringes about 0 and/or 100 and 50 divisions.
See you please

L. Vlcek : New Trends in Physics, Slovak Academic Press, Bratislava
1996
ISBN 80-85665-64-6. Presentation on European Phys. Soc. 10th Gen.
Conf. – Trends in Physics ( EPS 10) Sevilla , E
Vlcek L.: New trends in physics HTML
Critical examination of fundamentals in physics

http://www.trendsinphysics.info/

See you please
Theory and Its Comparison with Experiment

2.2.Non-linear form of the interference field

2.2.1.Fizeau's Experiment

2.2.2.Harre's Experim