A theoretical and experimental search has been conducted for a model to explain the therapeutic effect of the "Philippine healer" - ultrafast healing of medical wounds. We came to the conclusion that the AIM+ - model is more suitable than the others. Previously [1-3] were presented: FK, DFK, AIM, AIM+ models.

The FK model is an elastic-periodic chain of atoms (CH1) in a periodic potential, which is described by commensurate and incommensurate phases.

In the DFK model, the periodic potential of the FK model is replaced by a second elastically periodic chain of atoms (CH2).

In the AIM model, the cosmological applications of the FK + DFK models are considered, through the creation of a time chain (CH1 + CH2), a type of open system.

The rubaiyat of Omar Khayyam voiced the cosmological idea of the AIM model: 

          “Oh, woe! Nothingness is embodied in our flesh,

           Nothingness is surrounded by a border of celestial spheres.

           We tremble in horror from birth to death:

           We are ripples on Time, but it is nothing.”

In the AIM+ model, CH1 atoms returning to the jerk point form a cloud of gas, which condenses on the energy excitations of the time chain (CH1+ CH2), forming associated states with them.

Let us call the emerging states “living cells” (LC). LCs can be two-dimensional, three-dimensional, etc. It is possible that the first three-dimensional LC was formed at the stage of inflationary growth of the Universe long before the point of the “Big Bang”; let’s call it “inflaton”. 

AIM+   model considers the phase of inflationary growth of the Universe as the initial stage of the development of a microbial colony.

It is known that communities of biological cells are open biological systems, which at the initial stages develop according to an exponential law (I-phase). But then they plateau very quickly. We believe that the I-phase can be extended by creating a coherent state for the LC (CR mode), when the entire community develops coherently.

In experiments [4, 5] the problem of creating one of the possible CR modes in microbiological systems was solved: - stimulating the growth of a colony of a microbiological culture of e.coli with a physical device with spatial coherence, by resonantly matching the size of a biological cell with the coherence period of the device. As a result: - we observed CR stimulated by an external field - modes with single and multiple subcultures of the microbiological culture. 

As shown earlier: 

* (AIM- ab initio mundu (lat.) – from the beginning of the world).

Thus, the AIM theory is an open FK model with an increasing number of particles and with “running” ones, i.e. J-dependent; periods, masses and potential amplitudes.

In systems with periodic potentials, inhomogeneous dynamic solutions inevitably arise that are not destroyed. Consequently, in a system with potential (1) it is impossible to obtain a homogeneous solution as the final result. 

In this regard, it is necessary to introduce additional terms into Lagrangian (1), ensuring the destruction of nonlinear excitations. We believe that the initial terms of the “destruction mechanism” should be the first and second harmonics V(J) with the main and doubled periods alternating on (off) depending on the parity of J. 

We expect that in a system with the first and second harmonics alternately turning on (off) the previous one-dimensional solitons stop, but over time two-dimensional non-decaying dynamic excitations are formed.

After some time J_K ~ J₀ in (1), the following harmonics V_K(J) are turned on (off). At points J = J_K on the temporary dislocation chain of the AIM system, phase transitions occur with a change in the spatial dimension of dynamic excited states.

To summarize, for the AIM model we write: (1), 

where is the “destruction mechanism”, with each moment of time divided into K-instants, with the corresponding harmonics of the external potential. 

From general considerations it follows that V_K(J) ~ V₀(J), V₀(J₀) = 0. The phase transition points J_K are determined by inequalities (1).

From a cosmological point of view, the number of moments of the time is equal to the optimally round number, i.e. .

Let’s compare the generally accepted concepts with the concepts of the AIM model:

1. “Matter” – energy excitations on the time chain;

2. “Dark energy” - one-dimensional phase of matter (stationary); 

3. “Dark matter” - two-dimensional phase of matter (stationary);

4. “Visible matter” - three-dimensional phase of matter (dynamic);

5. The next phase is four-dimensional, etc.

Let us estimate the phase composition of matter at different stages of the development of the Universe.

Let X be the dynamic weight part of the Universe, then for a state of K phases we write:

  X+KX+K²X+K³X+…+K^K-1X=1; those. X= (K-1)/(K^K-1).

When K=3, X+3X+9X=1; X₃≈8%. Based on estimates of modern cosmology, for time intervals T_k we have:

T₃=30 billion years; T₂=90 billion years; T₁=180 billion years; T₄=7.5 billion years; T₅=1.5 billion years...; T = ∑T_k ≈ 310 billion years.

The AIM+ model assumes the return of the emitted atoms of the DFK –chain to the point of their departure, with the formation of two interacting subsystems in the AIM model.

Crystals of diamond (C}, silicon (Si), and silicon carbide (SiC) were dissolved in KOH and NaOH, after which the alkalis were washed out with water. 

Analytical measurements of the obtained mono clays: [diamond(C}; silicon (Si); quartz (SiO₂); (SiC)] + H₂O were carried out.

The purpose of the research is to test the hypothesis of a "nano dielectric molecule".

In [1], it was assumed that all dielectric crystals with cleavage planes can be chemically decomposed into a finite number of nanocrystalline blocks. In furtherance of this hypothesis, we conducted a series of experiments with crystals of diamond, silicon, and silicon carbide, similar to [2-6]:

1. After diamonds were dissolved in KOH and alkali was washed out with water, water-diamond (C- mono clay) was obtained [1-6]. 

2. After silicon single crystals were dissolved in KOH and NaOH and alkali was washed out with water, silicon (Si - mono clay) and quartz (SiO₂ - mono clay) were obtained.

3. After dissolving silicon carbide crystals in KOH and washing out the alkali with water, SiC - mono clay was obtained. 

By clay, we mean a semi-liquid substance consisting of crystals of various chemical compositions and water. 

Mono-clay is a clay consisting of identical nano-dielectric crystals dissolved in water.

It turned out that the X-ray structure of mono clays is absent in the semi-liquid state, but it reappears during annealing.

Conclusions: 

1. Dielectric crystals consist of identical nano blocks (nano dielectric molecules).

2. Dielectric crystals, after dissolving and washing out the solvent with water, turn into mono-clay of the corresponding crystal.

A model of the phenomenon of "cold thermonuclear fusion" (CTF) and a scheme for its experimental verification are proposed. The CTF model assumes that when a palladium matrix with deuterium adsorbed into it is heated, a nuclear deuterium desorption channel occurs.

It follows from theorems [1,2] that a narrow-band N-level energy spectrum ε_n with attenuation widths γ_n due to a single decay channel is rearranged when the level widths intersect in the zone, with the formation of one super radiant level (SRL) E with a width of γ_E ≃ Nγ_n. 

CTF involves the occurrence of high-energy nuclear reactions under normal conditions, with energies of at least 1 MeV. Is it possible? We think so. 

To understand the realism of CTF, let us consider a physical process in which great energy is present at the real and virtual levels.

It is known that during first-order phase transitions a large amount of energy is released, but this energy is volumetric - usually it is not localized in space and not synchronized in time.

While searching for the desired phase transition, we found a high-energy and surface-localized process - gas desorption from the metal matrix.

The electron levels of the absorbed gas hybridize with the electrons of the metal matrix, forming a narrow energy band with them.

When heated, a positively charged ion first flies out of the sample, to which a band electron is attached after some time. The electron recombination time is determined by the widths of the levels with a single desorption decay channel.

If we apply the FK model [3] to gas desorption, then this process is described by structural phase transitions with a ladder dependence of the gas concentration inside the sample on temperature, with abrupt changes in pressure at the steps of the ladder. Pressure restrains the escape of gas ions, being the main reason that limits the rate of its outflow and creates an internal stress field.

Superradiant levels (SRLs) do not form in crystals under normal conditions, but when heated, gas ions escaping from the crystal matrix become part of an open quantum mechanical system. As a result - SRLs  appear.

From [1,2] it follows that the widths of the (SRLs) desorption channel of decay are not limited in any way and in microcrystals can reach several MeV.

We consider the following CTF model realistic: - a matrix of a metal that adsorbs hydrogen well, for example Pd, saturated with deuterium when heated, pushes out the deuterium nucleus. A superradiant electron E^- should join it, but there is a faster, nuclear desorption channel - the virtual collapse of one of the internal deuterium nuclei into two virtual neutrons with the further formation of two tritium nuclei, or tritium and a neutron:

                                                                                                            (1)

where E^- is an electron at a superradiant level; ,  - virtual neutron and neutrino, thus we have:

                                          ;                                                                      (2)

or:

                                                                                                              (3)

Microscopic Pd crystals in this process play the role of an electron accelerator, catalyzing the nuclear process. Under nonequilibrium conditions, the neutron channel of the CTF (3) can kinematically prevail over the tritium channel (2), which we have repeatedly observed.