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Review

From the Early Universe to the Modern Universe

P.N. Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prospect 53, 119991 Moscow, Russia
Symmetry 2020, 12(3), 382; https://doi.org/10.3390/sym12030382
Submission received: 7 January 2020 / Revised: 1 February 2020 / Accepted: 2 February 2020 / Published: 3 March 2020
(This article belongs to the Special Issue QCD- and QED-Like Theories and Symmetry)

Abstract

:
The birth of the Universe, its dark components, and the next fundamental level of matter are briefly discussed. The classical cosmological solution for our Universe with a Λ-term has two branches divided by a gap. The quantum process of tunneling between branches took place. A model of a slowly swelling Universe in the result of the multiple reproductions of cosmological cycles arises naturally. The occurrence of baryon asymmetry is briefly discussed. The problem of the cosmological constant is solved and, thus, the crisis of physics connected with this constant is overcome. But we note that dark energy is evolving. Dark matter (part or all) consists of familon-type pseudo-Goldstone bosons with a mass of 10−5–10−3 eV. It follows the composite model of particles. This model reproduces three relativistic phase transitions in the medium of familons at different red shifts, forming a large scale structure of the Universe dark matter that was “repeated” by baryons. Here three generations of elementary particles are absolutely necessary.

1. Introduction

This review consists of considering some cosmological problems of the early Universe. At the beginning of this paper, the birth of the Universe and the mechanism of the baryon asymmetry are discussed. The goal of inflation scenarios [1,2,3,4] was to construct the macroscopic Universe with a large number of particles in which the main cosmological problems have been decided. This inflation was a consequence of the non-equilibrium. A systematic review of inflation cosmological principles can be found in the article [5]. In articles [6,7], we discussed the case when the inflation potential does not possess specific properties, and first relativistic phase transition (RPT) are close to second order. The birth of the Universe is a quantum geometrodynamical transition of “nothing” into the state of a closed, three-dimensional space of a small, but finite, size. After this we will discuss dark components of the Universe (dark energy and dark matter). At the end of this paper, we will consider a composite model of elementary particles which explains the scale hierarchy of our world by three relativistic phase transitions in the familon dark matter during expansion of the Universe. In this model, three generations of particles are a natural phenomenon. Of course, other models of physical processes in the early Universe will be briefly mentioned. For example, in [8], extra dimensions and warped geometries were discussed. Here, a new consideration is that extra dimensions can be macroscopic or even infinite in size, and our Universe has a very rich structure with many different branes, on which different physics exist.

2. The Birth of the Universe. Modernization of the Process of Baryon Asymmetry

For the production of the observed number of particles (1088), the model of a slowly swelling Universe as the result of the multiple reproductions of cosmological cycles arises naturally. Eventually, it had passed off to a modern de Sitter regime by tunneling [6]. Besides, the cyclic solution is an attractor [9]. As pointed out in article [10] many years ago, entropy produced during one cycle would add to the entropy produced in the next, causing each cycle to be longer than the one before it. Details of the cyclic model and propagation through singularity can be found in articles [11,12]. On Figure 1 illustration of a slowly swelling Universe is presented.
The term “nothing” denotes an extremely compactified empty space (without particles): analog of a classical singularity. Our initial conditions were: topology is closed; N0 ~ 104–106 cm−3, RPT is the second order on scale E ~ 1016 GeV, and the generation of a new phase continuously occurs. The Universe born out of “nothing” in an anisotropic state (for example, Bianchi type IX) relaxed quickly to some equilibrium state including metric. We considered a quantitative model of the RPT [SU(5)]SUSY→[U(1)xU(2)xSU(3)]SUSY. A chain of phase transitions in the early Universe might be:
G→D4x[SU(5)]SUSY→D4x[U(1)xSU(2)xSU(3)]SUSY→D4xU(1)xSU(2)xSU(3)→D4xU(1)xSU(3)→D4xU(1)
1019 GeV   1016 GeV        105~1010 GeV      100 GeV      0.265 GeV
Here G is the local super symmetry group joining all physical fields and interactions; D4 is the group of diffeomorphisms corresponding to gravitational interaction; [SU(5)]SUSY is the group Grand Unification with global super symmetry; U(1)xSU(2)xSU(3) is the group symmetry of Standard Model. The only trace of the first RPT is the initial Λ-term. The remaining RPT are described by modern theories of elementary particles. During RPT, with the cooling of the cosmological plasma, vacuum condensates of quantum fields with a negative energy density were produced p = −ε. Thus, the RPT series was accompanied by the generation of negative contributions to the cosmological Λ-term. At first, a gravitation vacuum condensate (topological defects of different dimensions) was produced which gave a start to beginning time in our Universe. After a large number of oscillations (~105), the Universe underwent a tunneling transition in the high-symmetry thermodynamically unstable phase (Figure 2) when expansion in the de Sitter regime became inevitable.
The hypothesis about quantum bounce of the Universe from singularity and quasi-classical oscillations after its creation from “nothing” lead to the conclusion that the probability of tunneling from branch I to branch II increases monotonously with an increasing number of oscillation cycles in region I (Figure 3). With the increase of the number of oscillation cycles, eventually the tunneling will take place in spite of the small probability of tunneling on each separate oscillation cycle. The relation of radii is the characteristic parameter describing the effect of spontaneous increasing of the universe size:
[aII(min)/aI(max) ] = 2 (Ncr/N0)2/3
If the initial number of particles is 5 ×105<Ncr, Ncr ≈5 × 1011 cm−3 [7], then the radius increases by a factor of 2 × 104 as the result of quantum tunneling. This phenomenon can be considered as an analogue of classical inflation. On calculated energy (1016 GeV), we got the number of particles 1060 only. As previously mentioned, the observed particle number ~1088 has been created after multiple cosmological cycles containing all series of relativistic phase transitions [6,7]. It was a slow swell.
The key moment of the very early universe evolution is production of baryon asymmetry, which is characterized by the relation:
Ƞb ≡ nb/nγ = 6.05 × 10−10
It is most likely that the Universe was born in the baryon symmetric state, which was more energetic profit but now n b n b ¯ . The right (standard) mechanism of baryon asymmetry production has been proposed more than 40 years ago in [13]. Recently, we modernized this mechanism by introduction of magnetic monopoles in the composition of super heavy gauge bosons—dyon-lepto-quarks with mass ~1016 GeV [14]. It is known that magnetic particles have a huge force attraction. An important dependence was derived by Dirac in the article [15]:
(eg/ħc) = k/2   к = ± 1, ± 2, ± 3
Here: e—electric charge; g—magnetic charge; k—the monopole quantum number. Relation of thin structure constants for magnetic and electric particles characterized attractive force for k = 1 and g = 68.5 is:
αmе ≡ (g2/ħc)/(e2/ħc) = (34.25)/(1/137) = 4692.25
For k = 2 g = 137 and αmе = 18769. J. Schwinger [16] proposed to take only even means for k in the early universe (a more symmetrical case). For the realization of baryon asymmetry of the Universe, it is necessary to carry out Sakharov’s conditions [17]:
(1)
nonconservation of baryon number B;
(2)
violation of C and CP symmetries;
(3)
violation of thermodynamical equilibrium.
These conditions are practically impossible to carry out in standard model of particle physics. It is most likely that super-heavy dyon-lepto-quarks and their antiparticles were decayed to create the baryon asymmetry of our Universe Ƞb. Note, that standard scenario [13] gives only ηВ ~ 10-6. We hope that the introduction of magnetic monopoles in composition of gauge bosons with mass 1016 GeV will give Ƞb~ 10−10 for the decay of the dyon and the antidyon-lepto-quarks [14]. The ideology of baryon asymmetry creation can be found in the early reviews [18,19] and in the recent book [20]. In any case, the baryon asymmetry in the Universe furnishes clear evidence that a new physics is called for beyond the standard model of physics of particles and the standard cosmological model.

3. Dark Energy

Most likely, dark energy is not clean vacuum energy and it is a dynamical value. Three dynamical periods might take place during dark energy evolution: quintessence period, vacuum energy period, and phantom period, which is now, likely. An equation state might weakly change near w ≡ p/ρ = −1 during the evolution of the Universe. It lost more than 32 orders of magnitude in temperature. A quintessence period is connected with evolution of dark energy on 78 orders. The cosmological constant (Λ-term) problem existed for many years, because there was not an understanding of its vast reduction by 123 orders of magnitude [21]. The problem was even called a crisis of physics. Indeed, this crisis existed before the introduction of the holographic principle [22] and entropic force [23] in physics. A cosmological constant was introduced by Einstein [24] in his field equation as a property of space to preserve a static universe:
Rμν − (1/2) R gμν + Λ gμν = −8π GNTμν
A. Einstein rewrote the rules of our physical world by this equation 100 years ago. However, not all was that smooth. A. Friedmann [25] showed that the static solution of Einstein’s equation (5) is unstable and a minuscule matter density fluctuation leads to collapse or perpetual expansion. Einstein then abandoned the Λ-term, because it became known that the Universe is expanding. Much later, in 1947, in Lemaitre’s letter to Einstein [26] the idea of the cosmological constant seemed brilliant to G. Lemaitre. He interpreted it as the vacuum energy density, i.e., the Λ-term is the vacuum energy of the Universe. If we move the Λ-term to the right-hand side of Einstein’s Equation (5), then this will be a form of energy that was called dark energy. A vacuum with the equation of state p = −ρ is a stable state of quantum fields without any excitation of wave modes (nonwave modes are condensates). Consequently, the vacuum of the Universe consists of quantum field condensates that are diluted and, of course, fluctuate during its expansion. The energy density of the present vacuum at red shift z = 0 differs significantly from the energy density at the birth of the Universe, i.e., at z = ∞:
ρDE ~10−47 (GeV)4 for z = 0 and ρDE~2 × 1076 (GeV)4 for z = ∞
Here we have a difference in vacuum energy density by 123 orders of magnitude that were reduced through rather peculiar physical processes during the evolution of the Universe. Our Universe was probably born by the tunneling from an oscillating regime to that of Friedmann and began to expand owing to thermodynamical instability after tunneling on branch II (Figure 2). New microstates arose during its expansion (evolution).
V. Fock’s ideas [27] should be used to construct the space of new quantum states. However, we can take a different path. An entropic force emerges as the Universe expands, with the energy losses being inevitable due to its presence. Only the vacuum energy can be an energy source. The entropic force F was proposed by E. Verlinde [23] as a microscopic force:
F Δx = T ΔS, or F ~ T əN/əx
Here: ΔS is the change in entropy at a displacement Δx, and Nis the information about the holographic system in bits. In cosmology, the idea of an entropic force was already applied in [28] for the same “crisis” purposes, but unsuccessfully, although the very existence of an entropic force allows one to talk about the energy (FΔx) that, in this case, is taken away from the vacuum energy as the Universe expands. Thus, the ideas of holography should be applied more accurately, i.e., formally, only in the classical regime. J. Maldacena [29] pointed out that all of the information about a gravitational system is coded at its boundary. In the holographic limit, the vacuum energy density of the universe is then [30]:
ρDE≤ 3 Mpl2/8πR2
Mpl is the Planck mass. In addition, J. Bekenstein [31] showed that the entropy (the number of microstates) of a black hole is 1/4 of the area of the event horizon expressed in Planck units. The idea of a similarity in the thermodynamics of a black hole in special coordinates to the thermodynamics of a de Sitter universe belonging to S. Hawking [32] turned out to be very useful, as did Jacobson’s idea [33] that gravity on the macroscopic scale is a manifestation of vacuum thermodynamics. We used these ideas to solve the Λ-term problem.
Our Universe after its birth [6] passed the quantum stage of its evolution, when the holographic ideas cannot be used, because holography is a classical phenomenon. In the initial regime, our Universe probably lost its high symmetry, extra dimensions, and parity, but, at the same time, some bunches of particles were produced, including the dark ones. Of course, there was also a transitional regime between the quantum and classical regimes. Upon sharp cooling after the birth of the universe, when its high symmetry was lost, a number of phase transitions occurred. Their condensates compensated 78 orders of vacuum energy [34,35], because the forming condensates made negative contributions to the positive vacuum energy density.
ρPl/ρQCD ~ (MPl/MQCD)4 = (1.22 × 1019/0.265)4 ~ 4.5 × 1078
Thus, phase transitions in the very early Universe have quenched more than 78 orders of the dark energy. At the beginning of the last phase transition the Universe had a density of ~10−2 GeV4, or 1016 g cm−3. By now (z = 0) the vacuum energy must diminish further by a factor of ρQCD/ρDE≈ (0.265/1.8 × 10−12)4 ≈ 5 × 1044 to quench all 123 orders. How can the vacuum energy losses by 44 orders of magnitudes be obtained and what process is “guilty” of this? We have a physical basis, the entropic force that emerges as the Universe expands, and Hawking’s assertion about a similarity of the thermodynamics of a de Sitter Universe to the thermodynamics of a black hole. In addition, the authors of [30] argue that the entropy of the Universe is bound by its surface measured in Planck units: S≤ πR2MPl2. This surface serves as a holographic screen. In the holographic limit the vacuum energy density of the Universe is then related to the entropy by a very simple formula, ρ= 3MPl4/8S, that for calculations in the classical regime is:
ρ(z) = (3/8) Mpl4 [RQCD/R(z)]2 (GeV)4
At z = 0, we have ρ(0) = 0.375 × 10−47 GeV4 if R(0) = 1028 cm. In the classical regime of evolution, the vacuum energy could be reduced by a factor of (3/8)(1028/3 × 104)2 ≈ 4 × 1046 in 4 × 1017 s. If the beginning of classical (Friedmann) evolution is taken at a size of 3 × 105 cm, then we will have a coincidence of the reduction in vacuum energy with the “required” value:
(3/8)(1028/3 × 105)2≈ 4 × 1044
Note that there is some arbitrariness in the estimates here because we do not know how long the transitional regime was. On the other hand, this almost exact coincidence cannot be fortuitous. Here, it is important to make some remarks on holography. General relativity provides a dramatic example of the holographic theory, while the existence of a horizon in the universe gives a strong argument for the holographic approximation in cosmology. The growth of the information entropy in the universe during its expansion is obvious. The existence of a holographic limit [36] constrains the number of degrees of freedom (the number of microstates) that can exist in a bounded volume. Both sizes, RQCD= 3 × 105 cm and R= 1028 cm, can be causal horizons in the holographic thermodynamics of the Universe. Einstein’s equations are obtained from the proportionality of the entropy to the event horizon, given the Clausius fundamental relation dS=dQ/T, where dS is the change in entropy, dQ is the change in energy flow through the horizon, and T is the Unruh temperature seen by an accelerated observer inside the horizon [30]. In a de Sitter Universe, the event horizon coincides with the apparent horizon. Some cosmological models dispense with the event horizon, but the apparent horizon always exists. Finally, the dark energy of our universe has evolved from the Planck time until now. The Universe lost ~123 (4 × 1078 × 4 × 1044) orders in this form of energy during 4 × 1017 s in the process of creating new microstates as it expanded (in the quantum regime the phase transitions were more effective in this reduction). Thus, the crisis of physics related to the cosmological constant that lasted for many decades can be overcome. There are also other dark energy models. Besides, the dark energy may not be a pure vacuum energy, but probably, has a small admixture of a scalar field [37]. Some experiments on dark energy have been prepared and an international consortium exists—www.darkenergysurvey.org. The Dark Energy Camera will remain mounted on the Blanco telescope at Cerro Tololo (Chile) for another five to 10 years and will continue to be a useful instrument for scientific collaborations around the world.
Probably dark energy evolution has three phases: quintessence, vacuum and phantom phase. Now w = −1.028 ± 0.031 [38]. Of course, the boundaries of these phases have been washed off.

4. Dark Matter

Some portion of particles has arisen in our universe during oscillations and tunneling for its creation [6]. Compelling evidence has indicated that about one quarter of composition of the Universe shows itself as a dark matter. Fresh cosmological parameters are presented by Planck and SABRE collaborations [39,40]. DM particles from familons, the existence of three generations of particles, the existence of distinguished scales in the Universe, a fractal distribution of baryons and DM structures are the natural phenomenon in a composite (preon) model of elementary particles [41]. The Standard Model has three generations of particles: the first generation of particles consists of stable particles; second and third generations consist of unstable particles. The whole set of elementary particles can be described in the preon version. For example, we have:
ParticlePreon CompositionElectric Charge
Positron+ + ++1
Down quark− □□−1/3
Upper antiquark− − □−2/3
Electronic antineutrino□□□0
W++ + + 0 0 0+1
γ+ −0
It is suggested that there are preons of two types: preon “+” with the electric charge +1/3 and preon “0”, without an electric charge. The antipreon “−“ has the electric charge −1/3, and the neutral antipreon is marked as “□”. In the article [41], we considered the simplest boson-fermion-preon model of left chiral quarks and leptons. The basic elements of this model are the chiral fermion preons UαL DαL and the scalar preons of quark φa type and lepton χαl type. Then, in this model, the internal structure of elementary particles is:
uiLa = UαL φa+iαa    uiLa = (uiL, ciL, tiL)
diLa = DαL φa+iαa    diLa = (diL, siL, biL)
νiLl= UαL χαl      νiLl = νLe, ν, ν
liLl = DαL χαl     liLl= (eL, μL, τL)
Inside quarks and leptons, the metagluonic fields Gωμνand the scalar preon fields are in the state of confinement. This effect is similar by its physical nature to the confinement of quarks and gluons inside hadrons, providing the existence of nonperturbative metagluonic and preon condensates. These condensates are described by the following:
<0I (αmc/π) Gωμν GμνωI0> ~ Λmc4
<0I φa+iαφb I0> = Vab~ − Λmc2
<0I χ l χαm I0> = Vlm~ − Λmc2
Here, Λmcis the energy scale of preon confinement, Vab, Vlmare the condensate matrices. The condensates (15) and (16), together with the gluonic condensates <0I(αc/π) GaμνGμνaI0>and the quark condensates OI   q ¯ L q R + q ¯ R q L IO provide a quark mass creation mechanism for all three particle generations. In the framework of this theory, DM is a system of familon collective excitations of the heterogeneous nonperturbative vacuum. This system consists of three subsystems: (1) familons of the upper-quark type; (2) familons of the lower-quark type; (3) familons of the lepton type. Small masses of familons are the result of super weak interactions of Goldstone fields with nonperturbative vacuum condensates. The value of these masses is limited:
mastrophys.~ 10−3–10−5 eV; mlaborat.<10 eV.
The effect of familons mass production corresponds formally with the appearance of mass terms in the Lagrangian of Goldstone fields. From general consideration, one can propose that massive terms may arise as with “right” and with “wrong” signs. The sign of the massive terms predetermines the destiny of residual symmetry of Goldstone fields. In the case of “wrong” sign for low temperatures, T < Tc ~ mfamilons ~ 0.1–105 K, a Goldstone condensate is produced and the symmetry of familon gas spontaneously breaks. The negative square mass of the complex scalar field means that for T < Tc(up) ~ mfpseudo-Goldstone vacuum is unstable that is when T = Tc(up) in gas of pseudo-Goldstone bosons there should be a relativistic phase transition to a state with spontaneous breaking U(1) symmetry. The phase transition in the cosmological familon gas is a first-order phase transition with a wide temperature range of phase coexistence. A numerical simulation of such relativistic phase transition has shown [41] that a spatial interchange of high-symmetry and low-symmetry phases took place in the Universe with the density contrast δρ/ρ ~ 0.1. Of course, the thermodynamic temperature of the familon gas does not necessarily coincide with the thermodynamic temperature of all other subsystems of the Universe. In the modern epoch, this fact can manifest itself in that the temperature of the familon gas as a part of dark matter can differ from the CMB (Cosmic Microwave Background) temperature). To explain the scale hierarchy of baryon structures, our model implements at least three relativistic phase transitions since there are three familon subsystems in the Universe [41]. Baryons repeated this block-phase structure which produced particles of DM (familons). Eventually, they produced: galaxies, clusters of galaxies and superclusters of galaxies. The formation of primary galactic nuclei during phase transitions in the early Universe was discussed in the article [42]. Probably, dark matter medium must be a multi component system as and the Standard Model.

5. Conclusions

In this review, we summarized the birth of the Universe and modernization of baryon asymmetry from a theoretical point of view, the role of dark components of the Universe, i.e., dark energy and dark matter, and reviewed the preon model. Here, it is necessary to note that authors of a recent article [43] discussed our idea [7] in a more refined form that the Universe was born in an anisotropic state (Bianchi type IX, as example) and quickly relaxed to an equilibrium state, including metric, vacuum condensate, and distribution function of plasma particles. Besides, it is necessary to note two reviews on baryon asymmetry in which spontaneous and gravitation baryogenesis considered [44,45]. We note that the identification of dark matter particles is of the highest scientific priority. Dark matter particles search in dozens of experiments. The masses of particles constituting the dark matter can lie within the range from 10−15 to 1015 GeV, while the cross section for their interaction with nucleons and the cross-section for their annihilation into SM particles can occupy the range 10−76–10−41 cm2 [46]. Light, weak interacting massive particles (WIMP) search conducts in collaboration CDEX - China Dark Matter Experiment [47]. They have provided the limit on the mass of WIMP mχ< 6 GeV/c2. In our review we did not discuss a darkogenesis, in which the asymmetric dark matter was produced the same mechanism as and the baryon component [48,49]. In the recent article [50] authors proposed the next generation of colliders may open dark matter particles for evaporation of microscopic black holes through Hawking radiation.
We predicted the dynamics of dark energy and the occurrence of voids in a large-scale distribution of dark matter from familons. The detection of the next fundamental level of matter on colliders is also very probable. In the nearest future, the experiments on DE and DM will be able to solve (or to disprove) some of the cosmological problems discussed in this review.

Funding

This research received no external funding.

Conflicts of Interest

The author declares no conflicts of interest.

References

  1. Guth, A.H. Inflationary universe: A possible solution to the horizon and flatness problems. Phys. Rev. D 1981, 23, 347–356. [Google Scholar] [CrossRef] [Green Version]
  2. Sato, K. First–order phase transition of a vacuum and the expansion of the universe. Mon. Not. R. Astron. Soc. 1981, 195, 467–479. [Google Scholar] [CrossRef]
  3. Linde, A.D. A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problem. Phys. Lett. B 1982, 108, 389–393. [Google Scholar] [CrossRef]
  4. Albrecht, A.; Steinhardt, P.J. Cosmology for Grand Unified Theories with Radiative Induced Symmetry Breaking. Phys. Rev. Lett. 1982, 48, 1220–1223. [Google Scholar] [CrossRef]
  5. Kolb, E.; Turner, M. The Early Universe; Addison-Wesley Publishing Company: Redwood City, CA, USA, 1990. [Google Scholar]
  6. Burdyuzha, V.; Lalakulich, O.; Ponomarev, Y.; Vereshkov, G. New scenario for the early evolution of the Universe. Phys. Rev. D 1997, 55, R7340–R7345. [Google Scholar] [CrossRef]
  7. Burdyuzha, V.V.; Ponomarev, Y.N.; Lalakulich, O.D.; Vereshkov, G.M. The tunneling, the second order relativistic phase transitions and problem of the macroscopic universe origin. Int. J. Mod. Phys. D 1996, 5, 273–292. [Google Scholar] [CrossRef] [Green Version]
  8. Randall, L. Extra dimensions and warped geometries. Science 2002, 296, 422–427. [Google Scholar] [CrossRef]
  9. Steinhardt, P.J.; Turok, N. Cosmic evolution in a cyclic universe. Phys. Rev. D 2002, 65, 126003. [Google Scholar] [CrossRef] [Green Version]
  10. Tolman, R. Relativity, Thermodynamics and Cosmology; Clarendon Press: Oxford, UK, 1934. [Google Scholar]
  11. Baum, L.; Frampton, P.H. Turnaround in cyclic cosmology. Phys. Rev. Lett. 2007, 98, 071301–071309. [Google Scholar] [CrossRef] [Green Version]
  12. Steinhardt, P.J.; Turok, N. A cyclic model of the Universe. Science 2002, 296, 1436–1439. [Google Scholar] [CrossRef] [Green Version]
  13. Ignatiev, A.Y.; Krasnikov, N.V.; Kuzmin, V.A.; Tavkhelidze, A.N. Universal CP-non-invariant super weak interaction and baryon asymmetry of the universe. Phys. Lett. B 1978, 76, 436–438. [Google Scholar] [CrossRef]
  14. Burdyuzha, V.V. A new in generation of baryon asymmetry of the Universe. JETP 2020. (manuscript is prepared). [Google Scholar]
  15. Dirac, P.A.M. Quantized singularities in the electromagnetic field. R. Soc. London A 1931, 133, 60–62. [Google Scholar]
  16. Schwinger, J. A magnetic model of matter. Science 1969, 165, 757–761. [Google Scholar] [CrossRef]
  17. Sakharov, A.D. Violation of CP invariance, C-asymmetry, and baryon asymmetry of the universe. Lett. JETP 1967, 5, 24–27. [Google Scholar]
  18. Dolgov, A.D.; Zel’dovich, Y.B. Cosmology and elementary particles. Rev. Mod. Phys. 1981, 51, 1–41. [Google Scholar] [CrossRef] [Green Version]
  19. Kolb, E.W.; Turner, M.S. Grand unified theories and the origin of the baryon asymmetry. Ann. Rev. Nucl. Part. Sci. 1983, 33, 645–696. [Google Scholar] [CrossRef]
  20. Gorbunov, D.S.; Rubakov, V.A. The Introduction in Theory of the Early Universe, 3rd ed.; Publisher - OOO “Lenand”: Moscow, Russia, 2016; pp. 11–610. [Google Scholar]
  21. Weinberg, S. The cosmological constant problem. Rev. Mod. Phys. 1989, 61, 1–23. [Google Scholar] [CrossRef]
  22. Susskind, L. World as a hologram. J. Math. Phys. 1995, 36, 6377–6396. [Google Scholar] [CrossRef] [Green Version]
  23. Verlinde, E. On the origin of gravity and laws of Newton. J. High Energy Phys. 2011, 1104, 1–29. [Google Scholar] [CrossRef] [Green Version]
  24. Einstein, A. Cosmological reasons to general relativity. Rep. Meet. R. Prussian Acad. Sci. (Berlin) 1917, 142–152. [Google Scholar]
  25. Friedmann, A. The world as space and time. Z. Phys. 1922, 10, 377–386. [Google Scholar]
  26. Lemaitre, G. Essais de Cosmologie; Luminet, J., Ed.; Letter to A. Einstein of Oct. 3; Luminet: Seuil, Paris, 1997. [Google Scholar]
  27. Fock, V. Configuration space and second quantization. Z. Phys. 1932, 75, 622–647. [Google Scholar] [CrossRef]
  28. Ali, A.; Tawfik, A. Modified Newton’s Law of Gravitation Due to Minimal Length in Quant. Gravity. Adv. High Energy Phys. 2013, 126528–126540. [Google Scholar] [CrossRef]
  29. Maldacena, J. The large N limit of super-conformal fields theories and super-gravity. Adv. Theory Math. Phys. 1998, 2, 231–252. [Google Scholar] [CrossRef]
  30. Balazs, C.; Szapidi, I. Naturalness of the vacuum in holographic theories. arXiv 2006, arXiv:0603133. [Google Scholar]
  31. Bekenstein, J. Black holes and entropy. Phys. Rev. D 1973, 7, 2333–2346. [Google Scholar] [CrossRef]
  32. Hawking, S. Particle creation by black holes. Com. Math. Phys. 1975, 43, 199–220. [Google Scholar] [CrossRef]
  33. Jacobson, T. Thermodynamics of space-time: The Einstein equation of state. Phys. Rev. Lett. 1995, 75, 1260–1263. [Google Scholar] [CrossRef] [Green Version]
  34. Burdyuzha, V.; Vereshkov, G. Cosmology of vacuum. Astrophys. Space Sci. 2006, 305, 235–239. [Google Scholar] [CrossRef]
  35. Bousso, R. TASI Lectures on the cosmological constant. General Relat. Gravit. 2008, 40, 607–637. [Google Scholar] [CrossRef] [Green Version]
  36. Fischler, W.; Susskind, L. Holography and cosmology. arXiv 1998, arXiv:9806039. [Google Scholar]
  37. Zhang, J.-F.; Geng, J.-J.; Zhang, X. Neutrinos and dark energy after Planck and BICEP2: Data consistency tests and cosmological parameter constrained. J. Cosmology and Astropart. Phys. 2014, 10, 044. [Google Scholar] [CrossRef]
  38. Lahav, O.; Liddle, A. Cosmological parameters. arXiv 2019, arXiv:1912.03687. [Google Scholar]
  39. Ade, P.A.R.; Aghanim, N.; Arnaud, A.; Ashdown, M.; Aumont, J.; Baccigalupi, C.; Banday, A.J.; Barreiro, R.B.; Bartlett, J.G.; Bartolo, N.; et al. Planck collaboration. Astron. Astrophys. 2016, 596, A106. [Google Scholar]
  40. Antonello, M.; Barberio, E.; Baroncelli, T.; Benziger, J.; Bignell, L.J.; Bolognino, I.; Calaprice, F.; Copello, S.; D’Angelo, D.; D’Imperio, G.; et al. The SABRE project and the SABRE Proof-of-Principle. Euro. Phys. J. C 2019, 79, 363. [Google Scholar] [CrossRef]
  41. Burdyuzha, V.; Lalakulich, O.; Ponomarev, Y.; Vereshkov, G. Familon model of dark matter. Astron. Astrophys. Trans. 2004, 23, 453–461. [Google Scholar] [CrossRef]
  42. Rubin, S.G.; Sakharov, A.S.; Khlopov, M.Y. The formation of primary galactic nuclei during phase transitions in the early Universe. JETP 2001, 92, 921–932. [Google Scholar] [CrossRef] [Green Version]
  43. Capozziellos, S.; De Falco, V.; Pincak, R. Torsion in Bianchi IX cosmology. Int. J. Geometric Methods Modern Physics. 2017, 14, 1750186. [Google Scholar] [CrossRef]
  44. Lambiase, G.; Mohanty, S.; Prosanna, A.R. A review on gravitation baryo/leptogenesis. arXiv 2013, arXiv:1310.8459. [Google Scholar]
  45. Arbusova, E.V.; Dolgov, A.D.; Novikov, V.A. General properties and kinetics of spontaneous baryogenesis. arXiv 2016, arXiv:1607.01247. [Google Scholar] [CrossRef]
  46. Burdyuzha, V.V. The dark components of the Universe are slowly clarified. JETP 2017, 124, 358–368. [Google Scholar] [CrossRef] [Green Version]
  47. Yang, L.T.; Li, H.B.; Yue, Q.; Ma, H.; Kang, K.J.; Li, Y.J.; Wong, H.T.; Agartioglu, M.; An, H.P.; Chang, J.P.; et al. Light WIMPs search by the annual modulation analysis with the point-contact germanium detector at the China Jinping underground laboratory. arXiv 2019, arXiv:1904.12889. [Google Scholar]
  48. Shelton, J.; Zurek, K.M. Darkogenesis. arXiv 2018, arXiv:1008.1997 v.2. 2018. [Google Scholar]
  49. Hall, E.; Konstandin, T.H.; McGehee, R.; Murayama, H. Asymmetric Matter from a Dark First-Order Phase Transition. arXiv 2019, arXiv:1911.12342. [Google Scholar]
  50. Song, N.; Vincent, A.C. Discovery and Spectroscopy of Dark Matter and Dark Sectors with Microscopic Black Holes at Next Generation Colliders. Phys. Rev. Lett. 2020, 124, 051801. [Google Scholar] [CrossRef] [Green Version]
Figure 1. Model of the slowly swelling baby Universe.
Figure 1. Model of the slowly swelling baby Universe.
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Figure 2. The cosmological solution for the closed Universe for the initial number of particles N0 « Ncr. Branch I is the Friedmann solution distorted by Λ-term. Branch II is the de Sitter solution distorted by matter. The units of time and scale factor are: t0 = 3.5 × 10−38 s, a0 = 1.5 × 10−27 cm.
Figure 2. The cosmological solution for the closed Universe for the initial number of particles N0 « Ncr. Branch I is the Friedmann solution distorted by Λ-term. Branch II is the de Sitter solution distorted by matter. The units of time and scale factor are: t0 = 3.5 × 10−38 s, a0 = 1.5 × 10−27 cm.
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Figure 3. The dependence of wave function of the universe factorized by the separate function U(a) from scale factor a.
Figure 3. The dependence of wave function of the universe factorized by the separate function U(a) from scale factor a.
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Burdyuzha, V.V. From the Early Universe to the Modern Universe. Symmetry 2020, 12, 382. https://doi.org/10.3390/sym12030382

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