DARK MATTER AND DARK ENERGY, WHICH ARE INEXPLICABLE IN THE MI-CROCOSM, ARE MUTUALLY INVISIBLE UNIVERSES AND ANTI-UNIVERSES OF THE HIDDEN MULTIVERSE

International independent scientific journal №79/2025 48 PHYSICAL SCIENCES DARK MATTER AND DARK ENERGY, WHICH ARE INEXPLICABLE IN THE MICROCOSM, ARE MUTUALLY INVISIBLE UNIVERSES AND ANTI-UNIVERSES OF THE HIDDEN MULTIVERSE 1 Antonov A. PhD, HonDSc, H.ProfSci, Independent researcher, Kiev, Ukraine https://doi.org/10.5281/zenodo.17583055 Abstract The article proves that the version of the special relativity theory (SRT) that is taught in all physics textbooks is incorrect, since the relativistic formulas obtained in it are incorrect and they are incorrectly explained using the incorrect principle of not exceeding the speed of light. These formulas also lead to incorrect conclusions about the physical unreality of imaginary numbers and the existence in nature of only our visible universe. A corrected version of the SRT is presented and it is explained that the argument ‘speed’ in the corrected relativistic formulas is, in accordance with Newton’s first law, the fourth spatial dimension 2 . The principle of the physical reality of imaginary numbers is experimentally proven, which refutes the principle of not exceeding the speed of light. It is shown that the SRT, on the one hand, and radio engineering, electrical engineering and computer engineering, on the other hand, mutually refute each other. It is explained that in nature, in addition to our visible universe, there are many mutually invisible, since they are in different dimensions, universes and antiuniverses, which are dark matter and dark energy. This explains the well-known properties of dark matter and dark energy - their invisibility and the absence of corpuscular content. Therefore no studies at the Large Hadron Collider can explain the phenomena of dark matter and dark energy. It is explained also that in the anti-universes of such an invisible Multiverse there is anti-matter and antitime. Therefore, time travel is possible in it. Time travel is also available to people on Earth. Keywords: special relativity theory, relativistic formulas, Multiverse, anti-universe, antimatter, anti-time, arrow of time, internal time, external time, time zones of Earth, time travels 1.Introduction The 20th century in physics was rich in new interesting scientific ideas. But some of them, although they were called theories, have not yet received experimental confirmation. And one of them is the special relativity theory (SRT) [1]-[3], which was nominated for the Nobel Prize 66 times. However, due to the lack of experimental confirmation, she never received it.And the Nobel Committee turned out to be right, since in the 21st century, its indisputable experimental refutations were published.Nevertheless, this version of SRT is 1 This is corrected reprint of the article “Antonov A. A. 2025. Dark matter and dark energy are mutually invisible universes and anti-universes of the hidden Multiverse. German International Journal of Modern Science № 113.” 2 Not to be confused with the fourth dimension in four-dimensional space-time (Minkowski space). 3 Who received his Nobel Prize in 1902 for explaining the Zeeman effect. 4 Who received his Nobel Prize in 1921 for studying the photoelectric effect. now studied in all physics textbooks used in the educational process even in the most prestigious universities. 2. The version of SRT taught in all physics textbooks is incorrect The generally accepted version of SRT is incorrect because are incorrec obtained by its creators – Joseph Larmor [4], Nobel laureate Hendrik Anton Lorentz 3 [5], Jules Henri Poincaré [6], Nobel laureate Albert Einstein 4 [7] and other outstanding scientists – the relativistic formulas: International independent scientific journal №79/2025 49 Fig 1. Graphs of functions m(v), Δt(v), l(v), corresponding to the existing and corrected versions of SRT in the subluminal v < c and hyperluminal v > c ranges 𝑚=𝑚0 /√1−(𝑣 𝑐)]2 (1) 𝛥𝑡=𝛥𝑡0√1−(𝑣 𝑐) 2 (2) 𝑙=𝑙0√1−(𝑣 𝑐)]2 (3) where m0 is the rest mass of a moving body (e.g., an elementary particle); m is the relativistic mass of the moving body; Δt0 is the rest time of the moving body; Δt is the relativistic time of the moving body; l0 is the rest length of the moving body; l is the relativistic length of the moving body;. v is the speed of a moving body; c is the speed of light. Moreover the creators of SRT could not even explain these formulas. And there fore much of what they did later was done incorrectly: • First, they did not understand that the velocity v in these formulas, in accordance with Newton's first law, is the fourth spatial dimension, in addition to length, width, and height. Therefore, relativistic formulas had to be explained not only in the sublight v < c range, but also in the hyperlight v < c range. However, this was not done. • Second, not understanding the physical meaning of the imaginary values of the quantities m(v), (v), l(v) in the hyperlight v > c range of speeds, the authors of SRT, in order not to explain their relativistic formulas in this range, introduced into SRT a postulate called the principle of not exceeding the speed of light. And based on this postulate, it is now sometimes even claimed 5 that Albert Einstein understood 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. 5 However, this unproven statement is incorrect, as it is refuted by the experimentally confirmed conclusion about the existence of the hidden Multiverse, in which different values • Thirdly, it turned out that formula (1) in the hyperlight v>c range corresponds to a physically unstable process that cannot exist in nature at all; • Fourthly, despite the fact that the attempt to disprove the SRT by the OPERA experiment [8] at the Large Hadron Collider was unsuccessful, it was nevertheless experimentally proven that imaginary numbers are physically real [9]-[20], and therefore the principle of not exceeding the speed of light and the SRT itself are incorrect [21]-[49]. Therefore, the conclusions made in the generally accepted version of the SRT from these incorrect formulas using the incorrect principle of not exceeding the speed of light are also incorrect: • about the existence of our only visible universe in nature; • about the physical unreality of imaginary numbers. And, ultimately, this incorrect version of the SRT, as a result of the struggle for survival, instead of being corrected in the future, being canonised – a conviction formed in the community of relativistic physicists and in public opinion about its infallibility, about the inadmissibility of its criticism and any subsequent corrections. Therefore, for example, in the USSR, criticism of the SRT was prohibited three times: in 1934 by a resolution of the Central Committee of the All-Union Communist Party (Bolsheviks) based on the results of the discussion relativity, in 1942 by a resolution of the Presidium of the Academy of Sciences of the Soviet Union on the theory of relativity, and in 1964 by a secret resolution of the Presidium of the Academy of Sciences of the Soviet Union, which prohibited any criticism of Albert Einstein's theory. This ban has not been lifted to this day. Prohibiting criticism of scientific theories is not a new phenomenon. For example, Nicolaus Copernicus, who spent 40 years in the 16th century developing his of the fourth spatial dimension v correspond to numerous mutually invisible universes and anti-universes [85]-[98]. International independent scientific journal №79/2025 50 heliocentric model of the universe, prudently chose to publish his theory ‘On the Revolutions of the Celestial Spheres,’ which refuted Claudius Ptolemy's geocentric model, after his death, so as not to fall foul of the Inquisition. But Giordano Bruno and Galileo Galilei, who unwisely supported Copernicus' theory, had already dealt with the Inquisition. Giordano Bruno was even burned alive at the stake. Unfortunately, hitherto the process of creating new scientific theories does not always proceed in accordance with common sense in result of experimental research and subsequent corrections of the identified shortcomings of these thepries. Shortcomings are sometimes long and stubbornly ignored. 3. Evidences of the physical reality of imaginary numbers And so as not to be unfounded, we will provide one of the proofs of the physical reality of imaginary numbers with using the interpretation of Ohm's lawfor linear alternating current electrical circuits proposed by Charles Proteus Steinmetz 6 in 1893 [50]. This formulation of Ohm's law 7 proposed even before Einstein and Poincaré published the now universally accepted version of the special theory of relativity in 1905. And now, millions of electrical and radio engineers around the world use this formulation of Ohm's law in Steinmetz's interpretation in their daily work. This, of course, proves its validity. However, physicists, unable to refute this proof, continue to ignore it. To understand whether physicists are right, let's take a closer look at this situation. In Steinmetz's formulation of Ohm's law, it is stated that not only resistors have electrical resistance, but also capacitors and inductors (also called inductance coils). But the resistance of resistors is measured by real numbers R, while the resistance of capacitors C and inductors L is measured by imaginary numbers -1/jωC and jωL. Therefore, linear electrical LCR-circuits of any configuration have resistance measured by complex numbers. Consequently, its value and the value of the current flowing through such a circuit, according to Ohm's law as interpreted by Steinmetz, depend on the frequency ω of the voltage applied to this electrical circuit. This makes it possible to perform a simple but very important experiment that will allow us to confidently answer the question of whether imaginary numbers are physically real. After all, if Fig. 2. For several decades now, every radio engineering laboratory has had instruments called frequency responses meters, which by their very existence prove the physical reality of imaginary and complex frequencies, and therefore of any other imaginary and complex numbers. And thus, they rendered the OPERA experiment unnecessary. the imaginary resistances of capacitors and inductors, since they are measured by imaginary numbers, are physically unreal, then their inclusion in electric circuits should not affect the results of measuring the resistance of the LCR-circuit in any way. The resistance of the LCR-circuit in this case will always be measured by real numbers and will not depend on the frequency. And vice versa, if the imaginary resistances -1/jωC and jωL are physically real, then when the frequency of the voltage applied to the LCR-circuit changes, the value of the current flowing through it will change due to the change in its resistance. And all engineers know that the resistance of LCRcircuits always depends on the frequency of the voltage applied to them, which is why the current value in such an experiment will always change. Therefore, devices 6 In the United States, the Institute of Electrical and Electronics Engineers (IEEE) has established an annual award in his name. 7 In its original interpretation, this law for direct current electrical circuits was formulated by Georg Simon Ohm in 1826 after nine years of experimental research, at a time when no for recording such measurements have long been created and are mass-produced – oscilloscopes, frequency response meters, spectrum analyzers, etc. Even many radio amateurs have the simplest of such devices – a tester (also sometimes called a multimeter). And this circumstance, i.e. the ability to measure imaginary parameters of electrical circuits with such devices, irrefutably proves their physical reality. After all, it is possible to measure only what really exists in nature. Therefore, most of what we know about the world around us, we learned precisely with the help of devices – in physics, and in biology, and in chemistry, and in all other sciences. Consequently, if the version of SRT studied in physics textbooks were correct, then neither electrical engineering, radio engineering, nor computer engineering should exist, since these sciences use Ohm's law as electrical measuring instruments existed. In 1828, Ohm was dismissed from his job by order of the Minister of Education for publishing his research. A high-ranking official at the time believed that the use of mathematics in physics was unacceptable. International independent scientific journal №79/2025 51 interpreted by Steinmetz. But these sciences and the corresponding electrical and radio engineering devices do exist. Moreover, electrical engineering and radio engineering existed even before the creation of SRT. Other proofs of the physical reality of imaginary numbers have also been published [51]-[54]. 4. Corrected version of SRT; invisible universes and anti-universes, hidden Multiverse Since, as has just been proven, imaginary numbers are physically real, the relativistic formulas of SRT, taking this circumstance into account, need to be explained in full. After all, the creators of this theory explained them only in the range of sublight speeds v<c, in which the physical values m, Δt and l took values measurable by real numbers. But in the range of hyperlight speeds v>c, these values m, Δt and l already took values measurable by open [55] Scipione Del Ferro, Niccolò Fontana Tartaglia, Gerolamo Cardano, Lodovico Ferrari and Raffaele Bombelli 400 years before the creation of SRT as imaginary numbers, the physical meaning of which, however, was incomprehensible to them and was not explained. And perhaps even earlier than them, by imaginary numbers were discovered by Paolo Valmes [56], who was burned alive at the stake for this by order of the inquisitor Tomás de Torquemada. Even Isaac Newton, in order to avoid trouble, preferred not to use imaginary numbers at that time 8 . However, in order to explain the physical meaning of imaginary numbers, relativistic formu-las must first be corrected so that they correspond to physically feasible processes. To do this, relativistic formulas (1)-(3) in the range v > c must be such that the graphs of the functions m(v), Δt(v), l(v) (Fig. 1d,e,f) are similar to the graphs of the same functions m(v), Δt(v), l(v) (Fig. 1a,b,c) in the range v < c. To do this, we need to introduce the function 9 iq into formulas (1)-(3) Fig. 3. Graphs of functions 𝑞(𝑣) and 𝑤(𝑣), illustrating the meaning of the ‘floor’ function of discrete mathematics 𝑚(𝑞)=𝑚0𝑖1 𝑞 / √1−(𝑣 𝑐−𝑞)]2 (4) 𝛥𝑡(𝑞)=𝛥𝑡0𝑖1 𝑞√1−(𝑣 𝑐− 𝑞) 2 (5) 𝑙(𝑞)=𝑙0𝑖1 𝑞√1−(𝑣 𝑐−𝑞)]2 (6) where 𝑞(𝑣)=⌊𝑣/𝑐⌋ – the ‘floor’ function of discrete mathematics from the argument v/c (its graph is shown in Fig. 3a), which is the fourth spatial dimension; 𝑤=𝑣−𝑞с – local velocity in all universes (its graph is shown in Fig. 3b). This function iq in formulas (4)-(6), which defines the essence of each universe, for integer values q(v), 8 And his friend William Whiston, in the atmosphere of the omnipotence of the Inquisition, was stripped of his professorship and expelled from Oxford University for some of his careless remarks. 9 However, the iq function has the disadvantage that, in the theory of complex variable functions, it is defined only for integer values 0,1,2,3,4,5,… of the argument q. Therefore, considering that for integer values of the argument q the same values as the iq function are taken by Euler's formula eiqπ/2=cos(qπ/2)+isin(qπ/2), the author proposes the formula iq equal to 0,1,2,3,4,5, takes the values +1, +i, -1, -i, +1, +i, … etc. And he value q(v) = 0 in formulas (1)-(3) for the sublight speed range v < c corresponds (since i0 = 1) to our visible universe, which we will call the tardion 10 universe for the sake of clarity. The value q(v) = 1 in the hyperlight speed range 2c > v > c corresponds (since i1 = i) to some other invisible universe, since it is beyond the event horizon. For clarity, we will therefore call it the tachyonic 11 universe. Then the the value q(v) = 2 in the speed range 3c > v > 2c will correspond to (since i2 = -1) an invisible tardion anti-universe, and the value q(v) = 3 in the speed range 4c > v > 3c will correspond to (since i3 = -i) an invisible tachyonic antiuniverse, the value q(v) = 4 in the speed =cos(qπ/2)+isin(qπ/2) for non-integer values of the argument q. The latter formula has an important dignity, it introduces a mathematical operation into complex number mathematics that was previously absent, namely, raising imaginary numbers to non-integer powers. 10 Tardyon universe is a term used by Isaak Asimov in his short story ‘Take a Match’. 11 Tachyon universe is a term used by Isaak Asimov in his short story ‘Take a Match’ International independent scientific journal №79/2025 52 Fig. 4. Structure of the hidden Multiverse corresponding to the principle of physical reality of complex numbers range 5c > v >4с will correspond (since i4 = +1) to another (and therefore also invisible) tardionic universe, the value q(v) = 5 in the speed range 6c > v > 5c will correspond (since i5 = +i) to another tachyon universe. And so on. That is, according to formulas (4)-(6), there is not one visible universe, as claimed in the generally accepted version of SRT, but a multitude of mutuall invisible other universes and anti-universes, forming a Multiverse, which we will therefore call hidden. Such a hidden Multiverse, whose structure is helical, is shown in Fig. 4. And in this structure of the hidden Multiverse, the distribution of material content in each three-dimensional parallel universe and anti-universe will be determined by its function 𝑓𝑞(𝑥,𝑦,𝑧), and the value iq will be the coordinate of these universes That is, the 12 Since they do not intersect hidden multiverse will be described by the formula fq(x,y,z) + iq . 5. Analysis of data obtained by the WMAP and Planck spacecraft But having proven the existence of mutually invisible parallel 12 universes and anti-univer-ses, necessary to find out how they are placed in the hidden Multiverse. Or, in other words, what is the structure of this hidden Multiverse? It is also necessary to understand what dark matter and dark energy are, so named because of their incomprehensibility, since no chemical elements have been found in them, and also because they do not absorb, emit, reflect or refract any electromagnetic radiation, and are therefore invisible. Moreover, dark matter and dark energy account for more than 95% of all mass-energy in the cosmos. International independent scientific journal №79/2025 53 More precisely, according to data obtained by the WMAP spacecraft [57], the mass-energy of our visible universe (actually a hidden Multiverse) consists of 4.6% baryonic matter, 22.4% dark matter, and 73.0% dark energy. And according to more recent data obtained by the Planck spacecraft [58], the entire universe (again, in fact, the entire hidden Multiverse) consists of 4.9% baryonic matter, 26.8% dark matter, and 68.3% dark energy. Therefore, naturally, the reliability of other knowledge in modern physics, which is unab-le to explain the phenomena of dark matter and dark energy, is questionable. And since it has been proven beyond doubt that nature does not consist of a single universe, but a Multiverse, then, in addition to the still unsuccessful search in the microcosm for the nature of dark matter and dark energy phenomena at the Large Hadron Collider, it is necessary to begin searching for their explanation in the macrocosm of our hidden Multiverse. After all, Albert Einstein himself wrote: ‘It is meaningless to keep doing the same thing and expect different results’. The ancient Chinese philosopher Confucius 13 said the same thing: ‘The most difficult thing is to find a black cat in a dark room, especially if it is not there’. The search for a solution to this problem in the hidden Multiverse allows us to assume that [59]-[72]: • dark matter and dark energy are most likely the rest, besides our visible universe, the tardion and tachyon universes and anti-universes of our hidden Multiverse, which are invisible to us because they are in other dimensions; • and since the universes and anti-universes of dark matter and dark energy are actually outside our visible universe, they manifest themselves in it only as phenomena (presumably in the form of gravitational shadows) generated by the existence of other invisible parallel universes and anti-universes of the hidden Multiverse 14 ; • dark matter is a phenomenon caused by the existence of invisible parallel universes and anti-universes in the hidden Multiverse neighbouring our visible universe. • dark energy is a phenomenon generated by the existence of other universes besides our visible universe and its neighbouring invisible universes and anti13 Confucius was an ancient Chinese philosopher and statesman who lived more than two thousand years ago and remains the most famous Chinese person to this day. For a long time, Confucianism was as important in China as Buddhism. It forms the basis of modern state ideology. universes, other invisible parallel universes and antiuniverses of the hidden Multiverse. Therefore, dark matter and dark energy have no corpuscular content 15 . And they will never be detected at the Large Hadron Collider. This explanation of the phenomena of dark matter and dark energy also provides information about the structure of the hidden Multiverse. Indeed, given that the mutually invisible universes and anti-universes of the hidden Multiverse are connected to each other by numerous portals through which they exchange their material contents, it can be argued that over billions of years of their existence, in accordance with the law of communicating vessels, their mass-energy has practically completely equalised. And therefore:  according to experimental data obtained by the WMAP spacecraft, the entire hidden Multiverse consists of 100% / 4.6% = 21.8 parallel universes, and according to data obtained by the Planck spacecraft, it consists of 100% / 4.9% = 20.4 parallel universes;  dark matter, according to experimental data obtained by the WMAP spacecraft, consists of 22.4% / 4.6% = 4.9 parallel universes, and according to data obtained by the Planck spacecraft, consists of 26.8% / 4.9% = 5.5 parallel universes;  according to experimental data obtained by the WMAP spacecraft, dark energy consists of 73.0% / 4.6% = 15.9 parallel universes, and according to data obtained by the Planck spacecraft, it consists of 8.3% / 4.9% = 13.9 parallel universes. 6. Corrected version of SRT, explanation of the phenomena of dark matter and dark energy As can be seen, the experimental data obtained by the WMAP and Planck spacecraft did not confirm the above conclusions about the structure of the hidden Multiverse, since our visible universe in this structure has not two neighbouring invisible parallel universes – one tachyon universe and one tachyon anti-universe – but five or six. Therefore, there was some error in the previous reasoning. And it turns out that we were wrong in assuming that there is only one additional dimension q in the hidden Multiverse and, consequently, its correspondence to physically real complex numbers containing only one imaginary 14 Similarly, for example, you may search unsuccessfully for a ringing telephone in the room you are in, when it is actually in the next room. 15 Like shadows on a sunny day. International independent scientific journal №79/2025 54 Fig. 5. 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 unit. In order for six 16 other parallel universes – three tachyon universes and three tachyon antiuniverses – to coexist with our visible universe in the actually existing hidden Multiverse, it is necessary to have three additional dimensions q, r, s and the relativistic formulas must be corrected again as follows [73]-[81] 0 1 2 3 2 ( , , ) 1 [ ( )] q r s m i i i m q r s vq r s c = − − + + (7) 2 0 1 2 3 ( , , ) 1 [ ( )] q r s v t q r s t i i i q r s c  =  − − + + (8) 2 0 1 2 3 ( , , ) 1 [ ( )] q r s v l q r s l i i i q r s c = − − + + (9) where 𝑞(𝑣)=⌊𝑣𝑞/𝑐⌋ – the ‘floor’ function of discrete mathematics from the argument 𝑣𝑞/𝑐 , which is one of the orthogonal coordinates q of the fourth spatial dimension v; 𝑟(𝑣)=⌊𝑣𝑟/𝑐⌋ – the ‘floor’ function of discrete mathematics from the argument 𝑣𝑞/𝑐, which is another orthogonal coordinate r of the fourth spatial dimension v; 𝑠(𝑣)=⌊𝑣𝑠/𝑐⌋– the ‘floor’ function of discrete mathematics from the argument 𝑣𝑠/𝑐, v_q/c, which is one more orthogonal coordinate s of the fourth spatial dimension v; vq, vr, vs – projections of the velocity vector v onto the orthogonal coordinates q, r,s (see Fig. 5). Consequently, the space of such a hidden multiverse will be six-dimensional (see Fig. 5). And its structure will correspond to the quaternions σ + i1ω1 + i2ω2 + i3ω3 , i.e. hypercomplex numbers [82] containing three imaginary units i1, i2, i3, which are related to each other by the following relations 222 1 2 3 1iii= = = − (10) 1 2 3 2 3 1 3 1 2 1ii i i i i i ii= = = − (11) 1 3 2 2 1 3 3 2 1 1ii i i ii i i i=== (12) In such a quaternion structure of the hidden Multiverse [83], [84], unlike its structure considered earlier 16 Or less. Then some parallel universes of our hidden Multiverse may be absent and replaced by universes of neighbouring Multiverses. (in Fig. 4), the distribution of material content in each three-dimensional parallel universe will be determined by a function 𝑓𝑞,𝑟,𝑠(𝑥,𝑦,𝑧), and the coordinates of these universes will be determined by the values i1q, i2r и 3 is . That is, the hidden Multiverse will be described by the formula 𝑓𝑞,𝑟,𝑠(𝑥,𝑦,𝑧)+𝑖1𝑞+𝑖2𝑟+𝑖3𝑠. And this is exactly what Lisa Randall predicted: ‘We could be living in a three-dimensional pocket of higher dimensional space’. And from formulas (7)-(9) it follows that such a hidden Multiverse has a helical structure. In this case, it is possible to move from a tardion universe to a tardion antiuniverse and from a tardion antiuniverse to a tardion antiuniverse in different ways, but not in an arbitrary way, but only in such a way (see Fig. 6) that the function iq will successively take the values +1, +i1⨁+i2⨁+i3 , -1, - i1⨁ -i2⨁-i3 , +1, … and so on, where ⨁ is the symbol of the logical operation of discrete mathematics ‘exclusive OR’. In this case, different trajectories of movement from one universe (or antiuniverse) to another can differ only due to the replacement of some tachyon universes from i1, i2, i3 . with others and some tachyon antiuniverses from i1, i2, i3 . with others.Therefore, the tachyon universes i1, i2, i3 in the hidden Multiverse are located parallel to each other. The tachyon antiuniverses i1, i2, i3 are also located parallel to each other for the same reasons. And therefore, International independent scientific journal №79/2025 55 in the hidden Multiverse, when moving from any tardyon universe to a tardyon antiuniverse and then to another tardyon universe, parallel universes and antiuniverses must alternate in the following sequence – ‘tardyon universe’, ‘one of the tachyon universes’, ‘tardyon antiuniverse’, ‘one of the tachyon antiuniverses’, ‘tardyon universe’, ‘one of the tachyon universes’, etc. One of the simplest explanations for such possible quaternion structures of the hidden Multiverse is shown in Fig. 6. It differs from the structure shown in Fig. 4 in that it contains several parallel tachyon universes and anti-universes corresponding to the three imaginary units i1, i2, i3 . Another difference is the presence in such a Multiverse structure not only of bidirectional portals corresponding to formula (7) and marked with doubleheaded arrows, but also of unidirectional portals 17 , corresponding to formulas (8) and (9) and marked with single-headed arrows. Fig. 6. Possible quaternion structure of the hidden Multiverse containing twenty-two parallel universes, including six invisible universes adjacent to our visible universe Moreover, naturally, the movement from our tardyon universe to the tardyon antiuniverse through some tachyon universe – for example, i1 – does not neces17 Why in such portals movement is possible only in one direction - from the entrance to the exit - is difficult for us, living in a space in which movement in nature is possible in any direction, to imagine. The processes that determine the possibility of such movement in nature are yet sarily have to proceed further through the tachyon antiuniverse i1.It can proceed further through the tachyon antiuniverses i2 and i3. The same reservation applies to the situation if the movement from the tardyon universe to the tardyon to be understood. But for visitors who find themselves in such one-way portals, they are more dangerous than two-way portals, since it is impossible to return from them to your universe. Although in the metro with one-way movement on escalators we still encounter. But the metro is not nature. International independent scientific journal №79/2025 56 antiuniverse begins through the tachyon universes i2 and i3. All these transitions are shown in Fig. 6. Moreover, since the data obtained by the WMAP and Planck spacecraft correspond to open helical structures of our hidden Multiverse, united through the corresponding portals with other Multiverses, then all of them together form the Hyperuniverse. 7. How to see invisible universes and anti-universes But to verify that these invisible universes really exist, we need an appropriate experiment that allows us to see them [85]-[98]. And to understand what this experiment might be like, we need to remember that in formulas (7)-(9), the parameters q, r, s are orthogonal coordinates of the fourth spatial dimension v, in which mutually invisible parallel universes somehow drift relative to each other. Therefore, they touch each other and even slightly immerse into each other, forming corresponding transitions through which their material contents are exchanged. These transitions are usually called portals [99],[100]. The entrances to them appear to be, at least, some of the anomalous zones, of which there are more than two hundred thousand on Earth. [101]-[104]. And since in other universes the constellations in the sky inevitably differ from the constellations in our earthly sky, when travelling through a portal from Earth to a neighbouring universe or anti-universe, the map of the starry sky in the portal will gradually transform into a map of the starry sky of that neighbouring universe or anti-universe. And if a telescope is placed in such a portal (or at least at its entrance in the anomalous zone), then by comparing the position of the stars in the sky in the portal and outside the portal, changes in the position of the stars can be detected. And if these differences turn out to be too small, then the telescope will have to be moved deeper into the portal. After all, Sir Arthur Stanley Eddington moved his telescope much further for his famous experiment in the early 20th century – from England to the island of Principe in the Atlantic Ocean [105]. Fig. 7. Scheme of an astronomical experiment to detect invisible universes These other constellations in the starry sky in the portals will serve as experimental proof of the existence of invisible universes and anti-universes outside the portals. The corresponding experiments (Fig. 7) are very inexpensive and easy to implement. Moreover, some observatories are already located in anomalous zones. For example, the Main Astronomical Observatory of the National Academy of Sciences of Ukraine is located 12 km from the centre of its capital, Kiev, in the Holosiivskyi Forest. 8. Antimatter and anti-time, external and internal time Having convinced ourselves that the existence of the hidden Multiverse can be proven experimentally, let us continue to extract new knowledge from the corrected version of SRT. First, the structure of the hidden Multiverse already allows us to explain a problem that is currently inexplicable within the framework of physics textbooks: where is antimatter located [106]? It is clear that it cannot be found in our visible universe, since its annihilation with matter would cause our universe to cease to exist. But the fact that antimatter does exist has been proven experimentally. In 1995, a sensational re18 For example, in the ‘twin paradox’ sult was obtained at CERN – scientists managed to obtain nine atoms of antihydrogen, which existed for about forty billionths of a second. And just one gram of such antihydrogen would cost 662.5 trillion (i.e. a thousand billion) dollars. Thus, the existence of antimatter has been experimentally proven. This experiment can also be considered proof that, in accordance with formulas (7)-(9), antimatter can exist in nature, but only in the invisible tardion and tachyon anti-universes of the hidden Multiverse and Hyperuniverse. (see Fig. 6), since they are the antipodes of invisible tardion and tachyon universes. Matter/antimatter pairs can also exist in tachyon universes/antiuniverses. Moreover, in these invisible tardion and tachyon antiuniverses, anti-time and anti-space also exist [107]-[116]. Secondly, the existence in the hidden Multiverse of not only tardion and tachyon universes, but also antiuniverses, makes it possible to travel not only in space, but also in time [107]-[127]. This refutes the claim of physicists who, although they recognise the hypothetical possibility of time travel in certain exotic situations in special 18 and general 19 relativity and in quantum 19 For example, in the region of ultra-high gravity near the event horizon of a black hole International independent scientific journal №79/2025 63 life. European Journal of Applied Sciences. Services for Science and Education. UK. 13(04). 174-179. DOI:10.14738/aivp.1304.19179. 120. Antonov A. A. 2025. It is physically possible to bring back to life a person who has died, for example, as a result of an accident or crime, using time travels. German International Journal of Modern Science. 109. 24-27. DOI: 10.5281/zenodo.16752567 121. Antonov A. A. 2025. The laws of physics allow a person who has died, for example, as a result of an accident or crime, to be brought back to life. Danish Scientific Journal. 98. 67-70. https://doi.org/10.5281/zenodo.16615081 122. Antonov A. A. 2025. It is physically possible to bring back to life a person who has died as a result of an accident or crime by using time travels. Annali d’Italia journal. 69. 46-49. DOI: 10.5281/zenodo.16419980 123. Antonov A. A. 22-23.07.2025. Possibility in accordance with the laws of physics, of bringing back to life people who have died as a result of accident and other causes by time travels using time zones on Earth. XVI international scientific conference “Science in modern society”. Bejing. China. 36-40. DOI https://doi.org/10.5281/zenodo.16562393 124. Antonov A. A. 2025. How the laws of physics can be used to bring back to life a person who has died as a result of an accident or crime. Norwegian Journal of development of the International Science.160. 6972. https://doi.org/10.5281/zenodo.15879906 125. Antonov A. A. 2025. A person who has died in an accident or crime, for example, can be brought back to life through the use of time travels. International independent scientific journal. 72. 17-20. https://doi.org/10.5281/zenodo.16778574 126. Antonov A. A. 2025. The laws of physics allow a dead person to be brought back to life. Journal of Science. Lyon. 68. 1518. https://doi.org/10.5281/zenodo.16758455 127. Antonov A. A. 12-13.08.2025. The laws of physics allow by time travelling with using time zones on Earth to bring back to life people who died as a result of accidents, in war and for other reasons. XVII International scientific conference “Theoretical and practical perspectives of modern science”. Stockholm. Sweden. 24-28. DOI https://doi.org/10.5281/zenodo.16892861 128. Eddington A. S. (1928). Nature of the Physical World. Cambridge University Press. London 129. Hawking S.W. (1988). Brief History of Time: From the Big Bang to Black Holes. Bantam Dell Publishing Group. UK.