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European Journal of Applied Sciences – Vol. 13, No. 1

Publication Date: February 25, 2025

DOI:10.14738/aivp.131.18112.

Antonov, A. A. (2025). Physical Sciences: Astrophysical Portals are a Source of New Knowledge. European Journal of Applied

Sciences, Vol - 13(1). 23-39.

Services for Science and Education – United Kingdom

Physical Sciences: Astrophysical Portals are a Source of New

Knowledge

Antonov, A. A.

Independent researcher, Kiev, Ukraine

ABSTRACT

The article claims that the version of the special theory of relativity studied in all

physics textbooks is incorrect and sets out the main provisions of its corrected

version. And from the relativistic formulas of the corrected version of SRT it follows

that in nature, in addition to our visible universe, there are mutually invisible

universes and anti-universes that are connected to each other by a large number of

portals. At the same time, the entrances to the portals are supposedly the so-called

anomalous zones, which people avoid visiting, since it is very difficult to get out of

them. However, scientific research of portals by unmanned robotic complexes is

possible and necessary. Such scientific research will allow solving a number of very

important scientific problems - proving the existence of mutually invisible

universes adjacent to our visible universe, explaining the Fermi paradox, proving

the possibility of traveling not only in the space of the hidden Multiverse, but also

in time, etc.

Keywords: imaginary numbers; special theory of relativity, invisible universes and

antiuniverses, hidden Multiverse, Hyperverse, portals, anomal zones.

THE VERSION OF SRT TAUGHT IN ALL PHYSICS TEXTBOOKS IS INCORRECT

Although Albert Einstein became famous as the author of the special and general theories of

relativity, who was nominated for the Nobel Prize 66 times, he received it in 1921 not for the

theory of relativity, but for the study of the photoelectric effect. And he never received the Nobel

Prize for the special theory of relativity (SRT) because SRT had no experimental confirmation.

In other words, SRT was actually called a theory incorrectly, since it was only a hypothesis. And

therefore, according to the Nobel Committee, sooner or later it could be experimentally refuted.

And the Nobel Committee turned out to be right - now it has already been experimentally

refuted.

First, in 1934, it was refuted by the discovery of Cherenkov radiation [1], which was created by

the movement of electrically charged particles in a transparent medium with a refractive index

n > 1 at a speed exceeding the phase velocity of light in this medium. For this discovery, P.A.

Cherenkov, I.E. Tamm and I.M. Frank even received the Nobel Prize in 1958. But the SRT was

then corrected and survived.

Then, in 2011, the OPERA collaboration tried to disprove it at the Large Hadron Collider,

expecting to receive the Nobel Prize for this. And they even published a message about their

success [2]. But six months later, in 2012, at the same Large Hadron Collider, the ICARUS

collaboration found an error in the OPERA experiment and disproved it [3].

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European Journal of Applied Sciences (EJAS) Vol. 13, Issue 1, February-2025

And in the 21st century, the generally accepted version of SRT has already been confidently

refuted by the existence of radio technology, the existence of tsunamis, the existence of pianos

and other musical instruments, and even the existence of suspended swings on playgrounds, as

well as many other experiments [4]-[15]. But throughout the 20th century, relativistic

physicists could not figure this out. And even now, the authors of physics textbooks do not

understand this. And therefore, these textbooks still present the incorrect version of SRT

created in the 20th century [16]-[45], according to which relativistic formulas have the form

(see Fig. 1a, b, c)

m = m0 / √1 − (

v

c

)]

2 (1)

Δt = Δt0√1 − (

v

c

)

2 (2)

l = l0√1 − (

v

c

)]

2 (3)

in which

m0

‒ 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 ‒ speed of motion of a body;

• c ‒ speed of light.

And these formulas in textbooks are explainable only in the range of subluminal speeds v < c, in

which the quantities m,

t

and l take on values measured by real numbers. But in the range of

superluminal speeds v > c, these quantities m,

t

and l already take on values measured by

imaginary numbers discovered by Scipione Del Ferro, Niccolo Fontana Tartaglia, Gerolamo

Cardano, Lodovico Ferrari and Rafael Bombelli [46] 400 years before the creation of the SRT,

the physical meaning of which, however, was not explained by them. But, perhaps, even earlier

than them, imaginary numbers were discovered by Paolo Valmes [47], who was burned alive

at the stake for this by the sentence of the inquisitor Thomas de Torquemada. The creators of

the SRT also could not explain this. And the physical meaning of imaginary numbers in physics

textbooks has not been explained to this day.

Moreover, the graph of the function m(v) in the range of speeds v > c (see Fig. 1a) corresponds

to a physically unstable process, which cannot exist in nature at all. Therefore, all formulas (1)-

(3) are completely incorrect. But since such a theory, which even its authors could not explain,

was of no use to anyone, a postulate was introduced into it, called the principle of not exceeding

the speed of light, the meaning of which is clear from its name. And the SRT was preserved,

since it claimed that in nature processes confirming the physical reality of imaginary numbers

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Antonov, A. A. (2025). Physical Sciences: Astrophysical Portals are a Source of New Knowledge. European Journal of Applied Sciences, Vol - 13(1).

23-39.

URL: http://dx.doi.org/10.14738/aivp.131.18112

allegedly do not exist. And in the 20th century, no one objected to this. And therefore, despite

the above-mentioned experiments refuting the SRT, it is sometimes even claimed that Albert

Einstein under stood that nothing in the Universe can move faster than the speed of light. And

that the speed of light is not just a number, but a physical limit. The same as, for example,

absolute zero at a temperature of minus 273.15 degrees Celsius.

But the version of SRT that is still studied in all physics textbooks is incorrect [16]-[45],

because:

• the relativistic formulas obtained in it are incorrect;

• the relativistic formulas obtained in it were incorrectly explained using the incorrect

principle of not exceeding the speed of light;

• from these incorrect relativistic formulas, incorrect conclusions were made about the

physical unreality of imaginary numbers and about the existence in nature of our only

visible universe, in which everything is measured only by real numbers.

Fig 1: Graphs of functions

m( v )

,

t( v )

and

l( v )

corresponding to the existing versions of the

SRT in the subluminal

v  c

and superluminal

v  c

ranges

CORRECTED VERSION OF SRT

But not all scientists share the opinion set out in the version of SRT given in physics textbooks

that, in accordance with the principle of not exceeding the speed of light, imaginary numbers

are physically unreal and that in nature there is only one visible universe, ours, since both of

these statements are refuted experimentally.

And the relativistic formulas of the corrected version of SRT have the form [48]-[56]

0 1 2 3

2

( , , )

1 [ ( )]

q r s m i i i

m q r s

v q r s

c

=

− − + +

(4)

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European Journal of Applied Sciences (EJAS) Vol. 13, Issue 1, February-2025

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)

in which q(v)=⌊v/c⌋ is the “floor” function of discrete mathematics of the argument v/c, which

is the fourth spatial dimension (Fig. 2); r(v)=⌊v/c⌋is the “floor” function of discrete mathematics

of the argument v/c, which is the fifth spatial dimension (Fig. 2); s(v)=⌊v/c⌋ is the “floor”

function of discrete mathematics of the argument v/c, which is the sixth spatial dimension (Fig.

2). That is, our Multiverse is six-dimensional – each universe has three dimensions x, y, z and

three more dimensions q, r. s have coordinates of these universes in the Multiverse (Fig. 3) –

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.”

In this case, the three imaginary units i1, i2, i3 in quaternions are related by the relations.

Fig 2: Graphs of functions q(v), r(v), s(v), illustrating the meaning of the “floor” function of

discrete mathematics.

Fig 3: 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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Antonov, A. A. (2025). Physical Sciences: Astrophysical Portals are a Source of New Knowledge. European Journal of Applied Sciences, Vol - 13(1).

23-39.

URL: http://dx.doi.org/10.14738/aivp.131.18112

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)

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 and both real and imaginary

values. But we have already proven that imaginary numbers are physically real and therefore

we must also explain them. Therefore, let us now consider the values

m( v ), t( v )

and

l( v )

of

the quantities , 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 the origin, we obtain

1

q

i

2

r

i

3

s

i

=1. For definiteness, we will call it the tardyon universe.

For the value q + r + s=1 in the range of velocities

v  c

, we obtain

1

q

i

2

r

i

3

s

i

=+i. This situation

corresponds to the invisible universe, since it is located beyond the event horizon. For

definiteness, we will call it the tachyon universe. For the value q + r + s=2 in the velocity range

v  c

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 tardyon 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 also corresponds to an

invisible universe, since it is also located beyond the event horizon. We will call it a tachyon

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 also corresponds to an invisible tardyon universe (but a different one), since it is also

located beyond the event horizon. For the value q + r + s=5 in the velocity range

v  c

we get

1

q

i

2

r

i

3

s

i = +i. This situation also corres-ponds to an invisible tachyon universe (but a different

one), since it is also located beyond the event horizon. Thus, all universes except ours are

invisible. Therefore, we will call our Multiverse hidden. And the hidden Multiverse has a helical

structure.

An example of a possible structure of the hidden Multiverse is shown in Fig. 4. As can be seen,

in such a structure of the hidden Multiverse, it is possible to move to the tardion antiuniverse

from the tardion universe and to the tardion universe from the tardion antiuniverse in different

ways, but not arbitrarily, but only in such a way, in which the value will successively take the

values +1, +

1

i

⨁+

2

i

⨁+

3

i , -1, - 1

i

⨁- 2

i

⨁- 3

i , +1, ... etc., where ⨁ is the symbol of the logical ope- ration of discrete mathematics ‘exclusive OR’. In this case, different trajectories of movement

from one universe (or antiuniverse) to another can differ only due to substitution of some

tachyon universes from

1

i , 2

i , 3

i

with others and some tachyon antiuniverses from

1

i , 2

i , 3

i

with

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European Journal of Applied Sciences (EJAS) Vol. 13, Issue 1, February-2025

And in order to be convinced, while in the portals, that you are no longer in our universe, but

on the way to the neighboring universe, you need to look from the portal through a telescope

at the starry sky and see other constellations on it [63]-[68]. This is a very reliable experiment,

since you can’t draw constellations in the sky.

The Arrow of Time

Here are some quotes on this topic.

“Time is the most frequently used word in English and the third most frequently

used word in Russian. It is in every other language, too, because synchronizing

actions in time is 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 their life, and a huge

amount of philosophical and scientific literature has been written on this topic.

However, no one will say for sure what time is. Or prove that time is irreversible. Or

maybe it only seems that way to us?” [70]

Here is what Stephen Hawking writes: “We can see a cup fall off a table and break

into pieces, but we never see the cup put back together from those pieces and return

to the table. The increase in disorder, or entropy, makes it possible to distinguish

the past from the future and thus gives time a definite direction.”

This phenomenon, known as the arrow of time, is one of the most amazing mysteries of physics.

And the name “arrow of time” for this phenomenon was proposed at the beginning of the 20th

century by the British physicist Sir Arthur Stanley Eddington. And it would seem that one

cannot argue with such statements.

Anti-time

But we will nevertheless try to show that the concept of the arrow of time, used in the generally

recognized incorrect version of the SRT, is refutable in its corrected version. To do this, let us

return to Fig. 4. And note something unusual in it. A hypothetical journey along the structural

diagram of the hidden Multiverse shown in the figure is, according to formulas (4)-(6), a

journey not only in space, but also in time. Since the transition from our visible tardion universe

to one of the neighboring tachyon universes or antiuniverses is accompanied by their

movement not only in space, but also in time, since time in them is different.

And this can be proven using various routes of such movements. Let us cite one of the simplest.

Let us assume that we moved through a portal from our visible tardion universe - using for this

purpose some anomalous zone on the surface of the Earth - in a short time (for example, one

day) to one of the neighboring tachyon universes or antiuniverses. And at the same time,

naturally, we disappeared from the sight of our colleagues who saw us off at the edge of the

anomalous zone. But we did not disappear anywhere in this neighboring tachyon universe or

antiuniverse and carried out some research on it for a couple of months. Then, having carried

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Antonov, A. A. (2025). Physical Sciences: Astrophysical Portals are a Source of New Knowledge. European Journal of Applied Sciences, Vol - 13(1).

23-39.

URL: http://dx.doi.org/10.14738/aivp.131.18112

out the planned research, we again in a short time (for example, one more day) through the

same portal safely returned to Earth. And since on Earth, relative to the neighboring invisible

tachyon universe or antiuniverse, time flows (into the future or into the past) in a direction

perpendicular to earthly time, then on Earth it seems to have stopped. Therefore, it seemed to

our colleagues who met us on Earth that we had been absent not for two months, but only for

two days. But we showed our unshaven beards for two months and thus proved that we had

ended up in the past, since our colleagues who saw us off had moved into the future for two

months. And in this past, we were beardless two months ago.

Of course, we won't be able to contradict Stephen Hawking with such an experiment and see

the process of restoring a broken cup from its fragments. But the fictional travelers from our

visible tardion universe to neighboring invisible tachion universes or anti-universes and back,

nevertheless made a journey through time. And due to this, having returned to the past, they

nevertheless turned the arrow of time by 180o.

And for those who are not convinced by this hypothetical experiment, below it is explained how

to make it really physically feasible.

Geophysical Research of Portals

Oddly enough, geophysical studies of portals [71]-[80] can be much more productive in space

exploration than astronomical studies of the visible starry sky. Indeed, astronomical

observations allow us to study only our visible universe. And geophysical studies of portals,

which are transitions to neighboring invisible universes, allow us to study invisible universes

neighboring our visible universe. Moreover, as can be seen from Fig. 4, they allow us to study

invisible universes, even those located outside the hidden Multiverse. They also allow, since

there are more than two hundred thousand anomalous zones on Earth that are supposedly

entrances to portals, having studied the portals, to perform the most detailed classification of

invisible universes antiuniverses neighboring our visible universe. And to identify, and then

even study some characteristics of invisible universes and atheuniverses, even those located

outside the boundaries of the hidden Multiverse. Which will allow us to understand why they

are not part of the hidden Multiverse. And it is possible that several other Multiverses

neighboring our hidden Multiverse will be discovered. And with all this, geophysical research

of space is much cheaper than astronomical research.

Moreover, geophysical research of portals will allow attempts to create time machines, with the

help of which the research described in the previous section 4.3 can be transformed from

hypothetical into real astrophysical ones.

Fermi Paradox

The Fermi paradox is a statement of a seemingly paradoxical situation in which, on the one

hand, it is known that there are many stellar systems in space suitable for life, but on the other

hand, despite all the efforts of scientists, no signs of life have been found in this space. And it

would seem very strange [81]-[83]. But in fact, there is nothing strange about it [84]-[96]. After

all, what are we looking for? What signs of life do we expect to see? The same as now on Earth?

For the same radio stations to work as on Earth, which, when transmitting signals, spend most

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European Journal of Applied Sciences (EJAS) Vol. 13, Issue 1, February-2025

of their energy on transmitting signals to nowhere due to an imperfect radiation pattern? For

the inhabitants of supercivilizations to detonate atomic and hydrogen bombs? And so on.

But first of all, these are all defects of our imperfect civilization, which supercivilizations got rid

of long ago. And therefore they are invisible. And secondly, why not assume that we do not see

their ships in space also because they have different logistics as a result of using their super

knowledge. Even on Earth, on the way to work in large cities, people now often use the subway.

And therefore, such their movement from space is also invisible.

And then their activity can be proven by comparing two texts:

1. “Our contemporaries – people of the Earth – begin their working day, leaving their homes,

by visiting the nearest metro station “A”. Then, invisible from space, they travel in the

tunnel “Aa” underground to the transfer point “ab” on our planet Earth. After that, they

travel through another underground tunnel “bB” to another underground station “B”,

leaving which they rise to the surface of the Earth in the place they need.”

2. “Our contemporaries – inhabitants of supercivilizations – begin their working day,

leaving their invisible home built using superstealth technology, by visiting the nearest

anomalous zone “A”. Then, invisible from space, they move through the portal “Aa” to the

transfer point “ab” in the neighboring universe. After which, through another portal “bB”,

they move to another neighboring universe “B” and exit the portal in the anomalous zone

in the place they need.

As you can see, the same thing happens in both situations – invisible movement in space, with

the replacement of terms of our civilization currently existing on Earth with similar terms in

supercivilizations:

• “people of the Earth” with “inhabitants of supercivilizations”;

• “housing” with “invisible housing built using superstealth technology”;

• “metro station “A” with “anomalous zone “A”;

• “riding in tunnel “Aa” with “moving through portal “Aa”;

• “ab” on our planet Earth” with “ab” in the neighboring universe”;

• “underground tunnel “bB” with “portal “bB”;

• “underground station “B”” with “neighboring universe “B”;

• “the surface of the Earth” with “in the anomalous zone”.

That is, in order for the movement of inhabitants of supercivilizations in space to become

invisible, it is only necessary that they move between universes through portals, and that

planets in star systems serve as transfer stations from one portal to another. And therefore, this

circumstance will need to be taken into account during geophysical studies of portals. And the

Fermi paradox must be recognized as yet another proof of the existence of portals and mutually

invisible parallel universes, and, consequently, the incorrectness of the version of SRT studied

in all physics textbooks.

CONCLUSION

Thus, the article experimentally proves and theoretically explains that the version of SRT,

created in the 20th century, which is still studied in all physics textbooks, is incorrect, because: