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European Journal of Applied Sciences – Vol. 13, No. 1
Publication Date: February 25, 2025
DOI:10.14738/aivp.131.18239.
Antonov, A. A. (2025). Time Travels for People on Earth are Already Possible. European Journal of Applied Sciences, Vol - 13(1).
163-180.
Services for Science and Education – United Kingdom
Time Travels for People on Earth are Already Possible
Antonov, A. A.
Independent researcher, Kiev, Ukraine
ABSTRACT
The article argues that the version of the special theory of relativity (SRT), which is
generally recognised and studied in all physics textbooks, is incorrect. And
numerous proofs are given to it. SRT on the one hand and all radio engineering,
electrical engineering and computer technology on the other hand mutually refute
each other. SRT is also refuted by the existence of resonance and shock oscillations.
I.e. if SRT were true, then neither computers, nor mobile phones and smartphones,
nor television, nor GPS trackers, nor pianos and other musical instruments should
exist, church bells would not ring, nor even tsunamis should not exist and swings
on children's playgrounds should not swing after a push from parents.
Consequently, to refute SRT it was not necessary to invent some very expensive
experiments on Tevatron and Large Hadron Collider. And it was necessary simply
to look around and to understand that the generally recognised version of SRT is
refuted by numerous all known and therefore irrefutable natural and created by
people processes. And, hence, SRT should be corrected. Therefore, the author has
created the corrected version of SRT, from which relativistic formulas and new
scientific knowledge received after creation of incorrect version of SRT it followed
that in the nature there is not only our visible universe, but besides it there are
many other mutually invisible universes and antiuniverses. And besides existing in
universes of matter, space and time, in antiuniverses there exist antimatter, anti- space and anti-time. And the existence of anti-time makes travelling not only in
space but also in time possible. And the article explains how it can be done now.
Keywords: imaginary numbers, special theory of relativity, invisible universes and anti- universes, hidden Multiverse, portals, anomal zones.
INTRODUCTION
The 20th century in physics turned out to be rich in new interesting scientific ideas. But many
of them, even called theories, have not yet received experimental confirmation. For example,
one of the most prominent and currently studied in all physics textbooks is the special theory
of relativity (SRT) [1]-[3], which was nominated 66 times for the Nobel Prize, nevertheless, due
to the lack of experimental confirmation, it has not received it.
And from the very beginning, the generally accepted version of SRT was criticised by Oli- ver
Heaviside, Nikola Tesla, Nobel Prize winner Albert Abraham Michelson, Nobel Prize winner
Wilhelm Frederick Ostwald, Nobel Prize winner Joseph John Thomson, Nobel Prize winner
Svante August Arrhenius, Nobel Prize winner Philipp Eduard Anton von Lenard, Nobel Prize
winner Alvar Gulstrand, Nobel Prize winner Wilhelm Carl Werner Otto Fritz Wien, Nobel Prize
winner Walter Hermann Nernst, Nobel Prize winner Ernest Rutherford, Nobel Prize winner
Johannes Stark, Nobel Prize winner Frederick Soddy, Nobel Prize winner Percy Williams
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Bridgman, Nobel Prize winner Edwin Mattison Macmillan, Nobel Prize winner Hideki Yukawa,
Nobel Prize winner Hannes Olof Jösta Alven and many other distinguished scientists.
And in the XXI century this wrong version of STO was even by the above-mentioned arguments
experimentally refuted [4]-[33] in the most indisputable way. However being unable to object,
the authors of existing physics textbooks simply ignored these refutations and the incorrect
version of SRT still continues to be taught even in the most prestigious universities in all
countries.
All modern science is in a similar state. In the 21st century Jean de Climont in his books [34]-
[37] writes about 9671 scientists who refuted the currently recognised scientific truths in all
sciences. But the trouble is not that one or another infidelity has been discovered in the modern
sciences. The author of the concept of 'open society' Sir Karl Raimund Popper, a member of the
Royal Society of London, wrote [38]: "...the struggle of opinions in scientific theories is inevitable
and is a necessary condition for the development of science". From which he made, at first glance
paradoxical, but in fact correct conclusion that the most valuable results of scientific research
are precisely the refutations of generally recognised theories, because they allow them to
develop. And this is inevitable. There is no doubt that all scientific knowledge in a thousand
years, much less in a million or a billion years, will be quite different. Therefore, we should not
naively assume that we have already learnt everything and hinder the research of colleagues
who propose new ideas.
THE VERSION OF THE SPECIAL THEORY OF RELATIVITY TAUGHT IN ALL PHYSICS
TEXTBOOKS IS INCORRECT
So, what are the refutations of the generally recognised version of SRT obtained during the last
century? They are the following:
• the relativistic formulas obtained in this SRT are incorrect;
• the relativistic formulas received in this SRT are incorrectly explained with use of
incorrect principle of non-exceeding of speed of light;
• from relativistic formulas of this SRT wrong conclusions about physical unreality of
imaginary numbers and existence in the nature of our only visible universe are made.
And these conclusions are available for experimental verification. Indeed, the relativistic
formulae
m(v) = m0 / √1 − (
v
c
)]
2 (1)
Δt(v) = Δt0√1 − (
v
c
)
2 (2)
l(v) = l0√1 − (
v
c
)]
2 (3)
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Antonov, A. A. (2025). Time Travels for People on Earth are Already Possible. European Journal of Applied Sciences, Vol - 13(1). 163-180.
URL: http://dx.doi.org/10.14738/aivp.131.18239
Fig. 1: Graphs of functions
m( v ), t( v )
and
l( v )
corresponding to the existing versions of the
STR in the subluminal
v c
and superluminal
v c
ranges
where
• m0
is the rest mass of a moving body;
• m - relativistic mass of a moving body;
• 0 t - rest time of a moving body;
• t - relativistic time of a moving body;
• 0
l - rest length of a moving body;
• l - relativistic length of a moving body;
• v is the velocity of the moving body;
• c - speed of light;
are explainable (see Fig. 1a, b, c) only in the range of pre-light velocities v<c, in which the values
m, and l take values measured by real numbers. And in the range of superluminal velocities v>c
these quantities m, and l already take values measured by imaginary numbers discovered 500
years ago [39], [40], but still unexplained. After all, what is, for example, 10 grams, 20 seconds
and 30 metres, everyone can explain, but what is 10i grams, 20i seconds and 30i metres, where
i = √−1, is not explained in any textbook. Moreover, the graph in Fig. 1a in the range of
velocities v>c corresponds to a physically unstable process, which cannot exist in nature at all.
And since such a theory, the formulas of which even its creators could not explain, would be of
no use to anyone, a postulate called the principle of not exceeding the speed of light was
introduced into it. From this postulate it followed that imaginary numbers are physically
unreal. Therefore, it was concluded that there was no need to explain them.
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Fig. 2: In any radio engineering laboratory there are devices called frequency characteristic
meters, which by their very existence prove the physical reality of imaginary and complex
frequencies, and consequently, of any imaginary and complex numbers.
But there are other sciences besides physics. And in the theory of linear electric circuits used in
radio engineering, electrical engineering and computer technology, according to Ohm's law as
interpreted by Charles Proteus Steinmetz [41], there are imaginary resistances of capacitors
and inductors (also called inductance coils), which are measured by devices available in any
radio engineering laboratory (Fig. 2). This proves [42]-[53] that imaginary numbers are
physically real1 and the principle of non-exceeding the speed of light is incorrect. And therefore
relativistic formulas (1)-(3) are incorrect2.
CORRECTED VERSION OF THE SPECIAL THEORY OF RELATIVITY
But even from the uncorrected relativistic formulas (1)-(3) follows an important conclusion,
which the authors of SRT have overlooked and by their principle of non-exceeding of the speed
of light have made this conclusion impossible – the velocity v in these formulas is an additional,
besides length, width and height, spatial dimension. Therefore in the corrected version of SRT
the corrected relativistic formulas [54[-[61] are received
0 1 2 3
2
( , , )
1 [ ( )]
q r s m i i i
m q r s
v q r s
c
=
− − + +
(4)
2
0 1 2 3 ( , , ) 1 [ ( )] q r s v t q r s t i i i q r s
c
= − − + + (5)
2
0 1 2 3 ( , , ) 1 [ ( )] q r s v l q r s l i i i q r s
c
= − − + + (6)
where q(v) = ⌊vq/c⌋ – is the "floor" function of discrete mathematics from the argument v/c,
which is the fourth spatial dimension (Fig. 3);
1
Since you can only measure what actually physically exists.
2
Since the derivation of correct relativistic formulas due to absence in the 20th century of necessa-ry experimental
and theoretical knowledge simply was not completed.
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Antonov, A. A. (2025). Time Travels for People on Earth are Already Possible. European Journal of Applied Sciences, Vol - 13(1). 163-180.
URL: http://dx.doi.org/10.14738/aivp.131.18239
• r(v) = ⌊vr/c⌋ – is the "floor" function of discrete maths from the argument v/c, being
the fifth spatial dimension (Fig. 3);
• s(v) = ⌊vs/c⌋ – is the "floor" function of discrete maths from the argument v/c, being
the sixth spatial dimension (Fig. 3);
• vq, vr vs – projections of the velocity vector v on orthogonal coordinates q, r, s (see Fig.
4).
Fig 3: Graphs of functions q(v), r(v), s(v) illustrating the meaning of the "floor" function of
discrete mathematics
From them it follows that we live in a Multiverse [62[-[77],which is six-dimensional – three
dimensions x, y, z has each universe and three more dimensions q, r. s are coordinates of
universes in the Multiverse (Fig. 4) – and is described by quaternions fq,r,s(x, y, z) +
i1q + i2r + i3s, the number of which is equal to the number of universes in the Multiverse. This
is exactly what Lisa Randall predicted: "We could be living in a three-dimensional pocket of
higher dimensional space."
222
1 2 3 iii = = = −1 (7)
1 2 3 2 3 1 3 1 2 i i i i i i i i i = = = −1
(8)
1 3 2 2 1 3 3 2 1 i i i i i i i i i ===1
(9)
Fig. 4: Six-dimensional space of the hidden Multiverse, where q, r, s are the coordinates of
invisible parallel universes, and x, y, z are the coordinates of the matter content in each parallel
universe
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Fig. 5: Possible version of the quaternion structure of the hidden Multiverse
In the mathematics of hypercomplex numbers, the function
1
q
i
2
r
i
3
s
i
can be calculated only for
integer values q, r, s, but can take both positive and negative values, as well as both real and
imaginary values. But we have already proven that imaginary numbers are physically real.
Therefore, we must also explain them. Therefore, let us now consider the values of the
quantities
m( v ), t( v )
and
l( v )
, and in the range of velocities
v c
for successive values of the
argument q + r + s equal to 0, 1, 2, 3, 4, 5, ... Then for our visible universe with coordinates q =
0, r = 0, s = 0, i.e. located at we get
1
q
i
2
r
i
3
s
i
= –1. This situation also corresponds to an invisible
universe, since it is located beyond the event horizon. We will call it a tardyon3 antiuniverse.
For the value q + r + s=3 in the velocity range
v c
we get
1
q
i
2
r
i
3
s
i
= – i. This situation
corresponds to an invisible universe, since it is also located beyond the event horizon. We will
call it a tachyon4 antiuniverse. For the value q + r + s=4 in the velocity range
v c
we get
1
q
i
2
r
i
3
s
i
= +1. This situation corresponds to an invisible tardyon universe (but a different one), since
3 The term tardyon-universe was proposed by Isaac Asimov in short story “Take a match”.
4 The term tachyon-universe was proposed by Isaac Asimov in short story “Take a match”.
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of other universes. For them, the quantities
m( v ), t( v ), l( v )
in formulas (4)-(6) differ only in
sign. That is, the concepts of matter, time and space in the universes correspond to the concepts
of antimatter, anti-time and anti-space in the antiuniverses [90]-[93]. But, as on Earth,
inhabitants-antipode in space do not notice this difference, since the same physical, chemical,
biological and other natural scientific laws operate in the universes and antiuniverses.
And when observed from Earth, in all universes and anti-universes, as they move away from
our visible universe, not only the distance increases, but also time (like in time zones on Earth).
Moreover, in universes it becomes greater than on Earth, and in anti-universes it becomes less
than on Earth. And this circumstance makes time travel really possible both in the past and in
the future.
Here are a couple of quotes that explain the current state of understanding of this problem.
“Time is the most frequently used word in the English language and the third most
frequently used word in Russian. It is in every other language, too, because
synchronizing actions in time is just as important as coordinating them in space.
Without knowing the exact time, it is impossible to organize your life and plan it in
advance. If in ancient times you could rely on natural cycles and an internal sense
of time, then in our days you need to constantly have a watch or a phone with you.
Time is the most important of the abstract concepts that we pronounce every day.
Every thinking person has thought about the problem of time at least once in his
life, and a huge amount of philosophical and scientific literature has been written
on this topic. Nevertheless, no one can say for sure what time is.” [94]
Here is what Stephen William Hawking writes about this: “In everyday life, there is
a huge difference between moving forward and backward in time. Imagine that a
cup of water falls from a table and breaks into pieces. If you film this fall, then when
you watch the film, it will immediately become clear whether the film is running
forward or backward. If it is running backward, then we will see how the fragments
lying on the floor suddenly come together and, having formed a whole cup, jump
onto the table. And you will be able to say that the film was running backward,
because in everyday life this does not happen. Otherwise, the faience factories would
have to be closed” [95].
This phenomenon, known as the arrow of time, is one of the most amazing problems in physics.
And the name “arrow of time” was proposed by the British physicist Sir Arthur Stanley
Eddington at the beginning of the 20th century [96]. And all our life experience, it would seem,
confirms this opinion.
The corrected version of the STR, in which the new concept of ‘anti-time’ has appeared, allows
this life experience to be corrected. Indeed, if we assume that one day travel through the
vastness of the hidden Multiverse will become possible for people on Earth, then time travel
[96] will also become possible, both in the past and in the future. Let us show this.