THE AIRCRAFT EXPERIMENT THROUGH THE EMISSION OF AN ELECTROMAGNETIC  WAVE TRAIN OF SPECIFIC LENGTH.

THE EXPERIMENT

     Let us assume (fig. 2) that we have a transmitter A emitting electromagnetic radiation, which is firmly installed at an altitude h above the surface of the Earth, for instance, on a high spot.

An aircraft B is moving towards transmitter A at a steady velocity υ, across a straight line and at the same altitude h.

As it is known, in this case, aircraft B constitutes an inertial frame of reference (Galilean) moving at steady velocity υ in relation to the Earth (namely, in relation to the Earth’s etherosphere).

During the performance of the experiment and over a certain (known) time t, transmitter A transmits to aircraft B a continuous electromagnetic wave train, for instance, microwaves or a LASER beam.

Thus, during this transmission, the length of the above-mentioned wave train A_o B_o = ℓ  in relation to the frame of reference of the Earth (namely in relation to the Earth’s etherosphere) will be:

ℓ = c t           (1)

(c = the speed of light = 3 10⁸ m/sec in relation to the Earth’s frame of reference, namely in relation  to the Earth’s etherosphere).

Let us consider, however, what the Theory of Relativity holds.
As it is known, according to the Theory of Relativity the velocity V_k of the above-mentioned transmitted electromagnetic wave train A_oB_o, in relation to the inertial frame of reference of aircraft B, should be equal to c, namely:

V_k = c                (2)

for (according to the Theory of Relativity) the velocity of the electromagnetic waves (i.e. in our case of the electromagnetic wave train A_oB_o) is the same for all inertial frames of reference and is moreover equal to c; hence, it will be also the same --i.e. c-- for the inertial frame of reference of aircraft B.

Yet, the following question arises:

Is what the Theory of Relativity maintains, i.e. V_k = c, valid or not?

The answer to the above question will be given following the realization of the actual experiment, which will be elaborated on below.

The reasoning that we will adopt  is the following: 

According to Classical Physics and on the basis of the new ether model (Earth – etherosphere surrounding the Earth), aircraft B will meet wave-train A_oB_o = ℓ and will go through it in time.                                   

where in relation (3) c + υ is the velocity V_k of the electromagnetic wave train A_oB_o in relation to the inertial frame of reference of aircraft B, namely :

V_k = c + υ                 (4)

Thus, from relation (1) and (4) relation (3) becomes:             

In relation (5), the values of c and t are known a priori in our experiment.
As regards the value of t΄, it can be found experimentally, as follows:

During the realization of the experiment, at the point where aircraft B meets the first end B_oof wave train A_oB_o, the chronometer will record a certain time t₁.
Similarly, when aircraft B runs through the entire wave train A_oB_o and at the moment in which it abandons the last end A_oof the wave train, the chronometer will record another time t_2.
As a result, time t΄ needed for aircraft B to run through the entire wave train A_oB_o will be :

t΄ = t₂ - t₁            (6)

On the basis of relation (6), relation (5) becomes : 

As a result, values c, t, t₂ and t₁ in relation (7) are all known in our experiment.

The crucial question that arises now is the following:

The answer to the above-stated question (in my opinion) is that, should the experiment be carried out, the value of V_k that results from relation (7) will be greater than the value of the speed of light c, namely it will be:

V_k >c  = 3 10⁸ m/sec.

In other words, the electromagnetic wave train A_oB_o in relation to the inertial frame of reference of aircraft B will have a velocity V_k greater than the speed of light c.

However, we are well aware that this fact is at total variance with the premise of the Special Theory of Relativity. Therefore, in the event that the latter is true, viz. should relation (7) yield a value V_κ > c = 3 10⁸ m/sec, the Theory of Relativity is undoubtedly inaccurate.

EXAMPLE

Let us assume that, in our experiment, are:
t= 3 sec
t΄= t₂ – t₁ = 2,999997 sec.
c= 3 10⁸ m/sec.
Then, from the relation (7), we have :
                                     V_k = 300.000.300 m/sec   (8),  namely
                                     V_k > c = 3 10⁸ m/sec
in relation to the inertial frame of reference of aircraft B.
Also, from relations (4) and (8), the velocity υ of aircraft B is:
                                     υ = 300 m/sec
 

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