The document discusses the "magic entanglement" of the General Theory of Relativity that comes from misinterpreting the Lorentz transformations and the Michelson-Morley experiment. It argues that interpreting these experiments as showing the elasticity of time and space is incorrect. The experiments are better explained as an optical illusion caused by using two different reference frames - one fixed and one moving at light speed - as if they were the same. The document suggests Einstein may have been misled by this double misinterpretation of the experiments and transformations.

1. THE "MAGIC ENTANGLEMENT” OF THE GENERAL THEORY OF RELATIVITY
BY THE LORENTZ TRANSFORMATIONS
The entanglement of the General Theory of Relativity comes in part from the Lorentz Transformations
due the incorrect interpretation of the Michelson-Morley Experiment. Misinterpretation which leads us to
use two different Reference Systems of Measures as if they were one, as shown in Fig.1 below. Of the
two systems used, one would be the True System AB which is considered fixed in space, and the other
would be the Fictional System AB'A’ 'moving through space at the speed of light c in the x direction,
which by optical illusion leads us to said fictitious system that AB'A'.
Such two reference measurement can be represented in a simplified form as follows Fig.2, wherein the first
reference system considered fixed in space would be formed by the points A and B as in Fig.3, and the
second system moving at the speed of light would be formed by points A, B' and A’ of Fig.4, where the
point A would be the start point of the two photons or light particles of each system. One photon goes in the
two directions ABA by reflecting in the mirror, and the second photon goes in the direction AA'. Therefore,
the path or ABA distance would be equivalent to the distance AA' (ABA = AA').
xx’ = 2 · yy’
AB = True Reference System
fixed in space
AB’A’ = Fictitious Reference System
moving at the speed of light c.
Fig. 1
A
x
A’
c'
espejos horizontales
c'
B B’
c
x x’
y
y’
y
c
B’ = fictitious displacement of the
mirror from point B to point B' at
the speed of light c.
Fig. 2
A
x
A’
1
c'c'c
y B’B
c
mirror

2. Now suppose that we separate the two reference systems of measures included in Fig.2 into two separate
systems according to the following Figs. 3 and 4; so that the Fig.3 corresponds to the reference system
considered fixed in space, and the Fig.4 corresponds to the fictitious system of the three points A, B' and
A', which moves in space at the speed of light c.
According to Figs. 3 and 4 and by simple observation, it is obvious that if we apply the Michelson-Morley
Experiment in the two independent reference systems, we’ll never have doubt that the travel time of light
speed in the fixed reference system in Fig.3, always will be less than the travel time by the photon within
the reference system of Fig.4, whatever would be the speed of displacement in space of said reference
system in Fig.4. Therefore, there would be no hypothetical reason on which to think about the alleged
elasticity of time, and consequently, neither would be any reason to think about the elasticity and/or
deformation of space.
Reached this point is when appears the alleged “magical nature” of the theory of relativity as represented
in fig. 5, since any experienced illusionist over dark scenario could make us observe by "optical illusion",
how a focus or light that moves in the two-way AB + BA = ABA according to Fig.3, for the observer public,
said light would have the path AB'A' as in Fig.4, by the displacement of the measuring system on mobile
platform in the direction of AA', at the same constant speed v that the light or focus moves in the double
direction between points A and B on the mobile platform.
This experiment or illusionistic representation shows us that by very creative the imagination could be, this
can lead us to the fantasy if it is not verified with experimentation.
The following video shows an animated representation of the logical basis of the Lorentz transformations:
https://www.youtube.com/watch?v=TgH9KXEQ0YU
Fig. 4
A
x
A’
1
cc
y espejoB’
Fig. 3
x
A
c
y
B
Fig.5
v = constant speed of the focus or
light and the mobile platform.
if we apply the Michelson-Morley
Experiment in the two independent
reference systems, we’ll never have
doubt that the travel time of light
speed in the fixed reference system
in Fig.3, always will be less than the
travel time by the photon within the
reference system of Fig.4, whatever
would be the speed of displacement
in space of said reference system in
Fig.4. Therefore, there would be no
hypothetical reason on which to think
about the alleged elasticity of time,
and consequently, neither would be
any reason to think about the
elasticity and/or deformation of
space.
Reached this point is when appears
the alleged “magical nature” of the
A
B
A’v
v

3. The fact that an unverified theory is expressed mathematically, in any case such mathematical expression
means the legitimization of the theory. According to the own Albert Einstein: "when the laws of mathematics
refer to reality, are not exact; When they are exact, do not refer to reality".
I guess that when Albert Einstein made this statement, he was referring that mathematics is the language
more exact of our knowledge, but with its own contradictions in terms of their use. As we know, maths are a
product of the human knowledge, and like any human creation, they are subject to manipulation and human
error, whatever said error be voluntary or involuntary. Like the lie, a mathematical mistake or
misunderstanding, once repeated thousand times, also can become a certainty. Personally I guess that
Albert Einstein was victim of a double misinterpretation: The Transformations of Lorentz and the
Michelson Morley-Experiment.
Miguel Cabral Martín