Information about the Earth’s structure mostly comes from the analysis of seismic waves. According to the standard model, the Earth has the following layers: an outer silicate solid Crust, solid Mantle, a liquid Outer core, and a solid Inner core. The Inner core is believed to be composed of an iron–nickel alloy with some other elements. The temperature at the Inner core’s surface is estimated to be approximately 5700 K. The liquid Outer core surrounds the Inner core and is believed to be composed of iron mixed with nickel and trace amounts of lighter elements.

Although seismic waves propagate through the core as if it was solid, measurements cannot distinguish between a perfectly solid material from an extremely viscous one. Some scientists have therefore considered whether there may be slow convection in the Inner Core as is believed to exist in the Mantle. That could be an explanation for the anisotropy detected in seismic studies. In 2009, B. Buffett estimated the viscosity of the Inner core at 10¹⁸ kg∙m⁻¹∙s⁻¹ [24] .

In our view, the Inner core, Outer core, and Lower mantle are the parts of the Earth’s liquid DM core, which have different viscosities from extremely high values for the Inner core going down to a 660-km boundary between the Lower mantle and Upper mantle with Crust (see Section 4.2). The main characteristics of the Earth’s layers are presented in Table 1.

Let us take a look at the structure of the Earth:

Ÿ Inner core and Outer core that extend from the Centre to about 55% of the Earth radius with density ρ max = 13 × 10 3 kg / m 3 and ρ min = 9.9 × 10 3 kg / m 3 ;

Ÿ Lower mantle, spanning from the Outer core to about 90% of the Earth radius (below 660 km) with density ρ max = 5.6 × 10 3 kg / m 3 and ρ min = 3.4 × 10 3 kg / m 3 ;

Ÿ Upper mantle, spanning from the Lower mantle to about 99% of the Earth radius (below 35 km) with density ρ max = 4.4 × 10 3 kg / m 3 and ρ min = 3.4 × 10 3 kg / m 3 ;

Ÿ Inner core, Outer core, and Lower mantle contain most of the Earth’s mass [26] .

Very little is known about the Lower mantle apart from that there is a seismicity cutoff-660 (660-km discontinuity): ρ min = 3.4 × 10 3 kg / m 3 for the Lower mantle is less than ρ max = 4.4 × 10 3 kg / m 3 for the Upper mantle. In our view, Lower mantle is the part of the Earth’s DM core.

W. Wu, S. Ni, and J. Irving investigated scattered seismic waves traveling inside the Earth to constrain the roughness of the Earth’s 660-km boundary [27] . The researchers were surprised by just how rough that boundary is rougher than the surface layer that we all live on. Their statistical model did not allow for precise height determinations, but there is a chance that these mountains are bigger than anything on the surface of the Earth. The roughness was not equally distributed, either; just as the Crust’s surface has smooth ocean floors and massive mountains, the 660-km boundary has rough areas and smooth patches [28] . Lacking a formal name for this layer, the researchers simply call it “the 660-km boundary.”

X. Markenscoff in the paper” “Volume collapse” instabilities in deep-focus earthquakes: a shear source nucleated and driven by pressure” explains the mystery of the long-standing observations in deep-focus earthquakes (400 - 700 km) by symmetry-breaking instabilities in high-pressure phase transformation, which produce the counterintuitive phenomenon of “volume collapse” producing only shear radiation, with little, or no, volumetric component, even under conditions of full isotropy [29] .

According to WUM, the 660-km boundary is a boundary between Earth’s DM core and Upper mantle with Crust, which were produced by DM core during 4.57 billion years [9] . The deep-focus earthquakes are connected with random mass ejections happening at the 660-km boundary as the result of DMPs self-annihilation in DM core.

In our opinion, all chemical elements, compositions, substances of the Earth including protons, electrons, multicharged ions, isotopes K-40, U-238, Th-232, Pu-244 (see Section 4.5), are produced within DMR inside of the Earth as the result of DMPs self-annihilation. They concentrate in “the 660-km boundary” and arrive in the Crust of the Earth due to convection currents in the mantle carrying heat and all chemical products from the interior to the planet’s surface [30] . In our view, “the 660-km boundary” is a “Geomagma”, electrical currents of which define the Earth’s magnetic field. Its random mass ejections are responsible for random variations of the Earth’s rotational speed on a daily basis (see Section 4.3).

G. Jones and K. Bikos in the paper “Earth Is in a Hurry in 2020” wrote [31] : When highly accurate atomic clocks were developed, they showed that the length of a mean solar day can vary by milliseconds. These differences are obtained by measuring the Earth’s rotation with respect to distant astronomical objects”. It turned out that the variations of the daylength throughout 2020 were in the range 86400 − 1.46   ms + 1.62   ms   s . The speed of the Earth’s rotation varies constantly because of the complex motion of its molten core, oceans and atmosphere, plus other effects (see Figures 1-3).

In frames of WUM, random variations of the Earth’s rotational speed on a daily basis can be explained by variations in the activity of the Earth’s DMR and the 660-km layer that we named Geomagma. As the result of DMPs self-annihilation, random mass ejections are happening. During a time of high DMR activity, the Earth’s rotational speed is lower (long days) due to increase of the Earth’s moment of inertia. When random mass ejections are less frequent, the Earth’s moment of inertia is decreasing, we observe short days [8] .

Let us analyze the proposed mechanism. The relative change of the daylength throughout 2020 was about 2 × 10⁻⁸. Hence, the relative change of the Earth’s moment of inertia must be about 2 × 10⁻⁸. If a layer of a mass m at a radius of r will shift on h, the relative change of the Earth’s moment of inertia will be about

m M r R h R ~ 10 − 8 , where M and R are the mass and radius of the Earth, respectively. In case of the Atmosphere (see Table 1): m M ~ 10 − 6 , r ~ R , and h R ~ 10 − 2 . It means that h ~ 64   km . In case of the Oceans: m M ~ 10 − 4 , r ~ R , and h R ~ 10 − 4 . It means that h ~ 640   m . In case of the Geomagma (boundary Lower mantle - Upper mantle): m M ~ 10 − 5 , r ~ R , and h R ~ 10 − 3 . It means that h ~ 6.4   km .

The estimated values of the masses and shifts show that:

Ÿ There is no way to explain the random variations of the speed of the Earth’s rotation by the complex motion of oceans and atmosphere as it was supposed in [31] ;

Ÿ They can be explained by random mass ejections in the Geomagma;

Ÿ It is worth noting that since 1973 to 2023 (see Figure 3), the averaged deviation of the average day length dropped down from 2.7 ms to 0.1 ms;

Ÿ The maximum activity of DMR and Geomagma and maximum of the average day lengths were observed at 2016, 2006, 1994, 1983, and 1972 (see Figure 2), which are about 11 years apart.

It is interesting that the full solar cycle is actually a 22-year phenomenon. The sunspot cycle happens because of this pole flip—north becomes south and south becomes north—approximately every 11 years. Some 11 years later, the poles reverse again back to where they started. The sun behaves similarly over the course of each 11-year cycle no matter which pole is on top, however, so this shorter cycle tends to receive more attention (see Figure 4).

Consider that the last minimum Sunspot number was at 2010 and the next one was at 2021. Hence, the next maximum Sunspot number was at 2016 that corresponds to the maximum of the Earth’s average day length. It means that the maximum Sun activity causes the maximum Geomagma activity!

By analyzing the minute changes in travel times and wave shapes for earthquake doublets, the authors of article [35] concluded that the Earth’s inner core is rotating faster than its surface by about 0.3 - 0.5 degrees per year. Researches of article [36] found that Earth’s inner core, made up of solid iron, “superrotates” in an eastward direction—meaning it spins faster than the rest of the planet—while the outer core, comprising mainly molten iron, spins westwards at a slower pace.

The fact that Macroobject Cores rotate faster than surrounding envelopes, despite high viscosity of the internal medium, is intriguing. WUM explains this phenomenon through absorption of DMPs by Cores. DMPs supply additional angular momentum ( ∝ τ 2 ). Hence, a relative additional Earth’s angular momentum for Δ t = 50   yr is

Δ L E / L E = 2 Δ t / A E = 100 / 4.6 × 10 9 = 2.2 × 10 − 8 ,

where A E is the Earth’s age. It means that the average length of the day will be shorter by 2.2 × 10 − 8 × 86400 = 1.9   ms , which is in good agreement with experimentally observed 2.6 ms (see Figure 3). This result confirms the existence of Geomagma.

Let us take a look at the internal structure of the Sun [37] :

Ÿ Core that extends from the center to about 20% - 25% of the solar radius, contains 34% of the Sun’s mass with density ρ max = 1.5 × 10 5 kg / m 3 and ρ min = 2 × 10 4 kg / m 3 . It produces all of Sun’s energy;

Ÿ Radiative zone from the Core to about 70% of the solar radius with density ρ max = 2 × 10 4 kg / m 3 and ρ min = 2 × 10 2 kg / m 3 in which energy transfer occurs by means of radiation;

Ÿ Core and Radiative zone contain practically all Sun’s mass [38] ;

Ÿ Convection zone extends from 0.7 solar radii (500,000 km) to near the surface. The solar plasma is not dense enough or hot enough to transfer the heat energy of the interior outward via radiation;

Ÿ The visible surface of the Sun, the photosphere, is the layer below which the Sun becomes opaque to visible light.

The radiative zone and the convective zone are separated by a transition layer, the tachocline. This is a region where the sharp regime change between the uniform rotation of the radiative zone and the differential rotation of the convection zone results in a large shear between the two—a condition where successive horizontal layers slide past one another. Presently, it is hypothesized that a magnetic dynamo within this layer generates the Sun’s magnetic field.

According to WUM, Core and Radiative zone are parts of DM Core of the Sun. The tachocline is an analog of Geomagma introduced for the Earth. It consists of all chemical elements, compositions of the Sun including protons, electrons, multicharged ions, which are produced within the Sun’s DMR as the result of DMPs self-annihilation. We can name it “Solarmagma”, electrical currents of which define the Sun’s magnetic field.

It is worth noting that the large power output of the Sun is mainly due to the huge size and density of its Core (compared to the Earth), with only a fairly small amount of power being generated per cubic meter. Theoretical models of the Sun’s interior indicate a maximum power density of approximately 276.5 W/m³ at the center of the Core [39] , which is about the same power density inside a compost pile [40] and closer approximates reptile metabolism than a thermonuclear bomb.

The existence of the Sun’s DM Core follows from experimental results obtained by E. Fossat, et al. who found that Solar Core rotates 3.8 ± 0.1 faster than the surrounding envelope [41] . The fact that the Solar Core rotates faster than surrounding envelope, despite high viscosity of the internal medium, is intriguing. WUM explains this phenomenon through the absorption of DMPs by Solar Core over time τ. DMPs supply not only additional mass ( ∝ τ 3 / 2 ), but also additional angular momentum ( ∝ τ 2 ). DM Core irradiates products of DMPs self-annihilation, which carry away excessive angular momentum. The Solar Wind is the result of this mechanism [8] .

As a conclusion: all gravitationally-rounded MOs (stars, planets, moons) have the same internal structure. They have a different size and composition of their DM Cores.

Lunar origin fission hypothesis was proposed by G. Darwin in 1879 to explain the origin of the Moon by rapidly spinning Earth, on which equatorial gravitative attraction was nearly overcome by centrifugal force [42] . Donald U. Wise made a detailed analysis of this hypothesis in 1966 and concluded that it might seem prudent to include some modified form of rotational fission among our working hypothesis [43] .

At present time, a rotational angular momentum of the Earth L r o t E is substantially smaller than Moon’s orbital momentum L o r b M . In the article “Solar System. Angular Momentum. New Physics” [9] , we performed a detailed analysis of the rotational angular momentum of the overspinning DM core of the Earth L r o t D M E and found that L r o t D M E = 2.2 × L o r b M at the Beginning of SS. It means that the Moon could be created by the overspinning DM core of the Earth as the result of Its Explosive Volcanic Rotational Fission.

In our opinion, lower mantle is a part of the Earth’s DM core. It could be significantly different 4.57 Byr ago. During this time it was gradually filled with all chemical elements produced by the Earth’s DM core due to DM particles DMF1 (1.3 TeV) self-annihilation [12] .

Expanding Earth hypothesis asserts that the position and relative movement of continents is at least partially due to the volume of the Earth increasing. In 1888, I. O. Yarkovsky suggested that some sort of aether is absorbed within Earth and transformed into new chemical elements, forcing the celestial bodies to expand. The theses of O. C. Hilgenberg (1933) and N. Tesla (1935) were based on absorption and transformation of aether-energy into normal matter. In spite of the recognition of plate tectonics in the 1970s, scientific consensus has rejected any significant expansion or contraction of the Earth [44] .

In WUM, the Earth’s DM core absorbs new DMPs, and its size is increasing in time ∝ τ 1 / 2 . There is an expansion of DM core, and hence, the Upper mantle with Crust is stretching out. Due to DMPs self-annihilation, new chemical elements are created inside of the Upper mantle with Crust. As a result, the relative movement of continents is happening. The Medium of the World with DMPs are, in fact, some sort of aether proposed by Yarkovsky, Hilgenberg, and Tesla.

The analysis of the Sun’s heat for planets in SS yields the effective temperature of the Earth of 255 K [45] . The actual mean surface temperature of Earth is 288 K [46] . The higher actual temperature of the Earth is due to the heat generated internally by the planet itself. According to the standard model, the Earth’s internal heat is produced mostly through radioactive decay. The major heat-producing isotopes within the Earth are K-40, U-238, and Th-232. The mean global heat loss from Earth is 44.2 ± 1.0 TW [47] . The Earth’s Uranium has been thought to be produced in one or more supernovae over 6 Byr ago.

Radiogenic decay can be estimated from the flux of geoneutrinos that are emitted during radioactive decay. KamLAND Collaboration combined precise measurements of the geoneutrino flux from the Kamioka Liquid-Scintillator Antineutrino Detector, Japan, with existing measurements from the Borexino detector, Italy. They found that decay of U-238 and Th-232 together contribute about 20 TW to the total heat flux from the Earth to space. The neutrinos emitted from the decay of K-40 contribute 4 TW. Based on the observations the KamLAND Collaboration made a conclusion that “heat from radioactive decay contributes about half of Earth’s total heat flux” [48] .

Plutonium-244 with half-life of 80 million years is not produced in significant quantities by the nuclear fuel cycle because it needs very high neutron flux environments. Any Pu-244 present in the Earth’s Crust should have decayed by now. Nevertheless, D. C. Hoffman, et al. in 1971 obtained the first indication of Pu-244 present existence in Nature [49] .

In WUM, all chemical products of the Earth including isotopes K-40, U-238, Th-232, and Pu-244, are produced by DMR inside of the Earth during 4.57 billion years and are, in fact, “Homemade”. They are a result of the DMPs self-annihilation with the rest energy 1.3 TeV (compared to proton rest energy 938 MeV). The products arrive in the Crust of the Earth due to convection currents in the mantle carrying heat and isotopes from the interior to the planet’s surface [30] .

As a conclusion: the internal heating of all gravitationally-rounded Macroobjects of SS is due to DMPs self-annihilation in their DM cores made up of DMPs. The amount of energy produced due to this process is sufficiently high to heat up the Macroobjects. New DMPs freely penetrate through the entire Macroobjects’ envelope, get absorbed into the DM cores, and continuously support DMPs self-annihilation.

“Faint young Sun” paradox describes the apparent contradiction between observations of liquid water early in Earth’s history and the astrophysical expectation that the Suns’ output would be only 70 percent as intense during that epoch as it is during the modern epoch. The young Earth would be expected to be completely frozen, but it seems to have had liquid water. The issue was raised by astronomers C. Sagan and G. Mullen in 1972 [50] . An unresolved question is how a climate suitable for life was maintained on Earth over the long timescale despite the variable solar output and wide range of terrestrial conditions [51] . Proposed resolutions of this paradox have taken into account greenhouse effects, changes to planetary albedo, astrophysical influences, or combinations of these suggestions.

One of the consequences of WUM holds that all stars were fainter in the past. As their cores absorb new DMPs, size of macroobjects cores R M O and their luminosity L M O are increasing in time R M O ∝ τ 1 / 2 and L M O ∝ τ respectively. Taking the age of the World ≅ 14.2 Byr and the age of SS ≅ 4.6 Byr, it is easy to find that the young Suns’ output was 67% of what it is today. Literature commonly refers to the value of 70% [52] .

In frames of WUM, the Upper mantle with Crust is due to DM core activity: the self-annihilation of DMPs in the DM core. As a result of this activity, the thickness of the Upper mantle with Crust is growing in time: the Young Earth had a smaller thickness than it is in the present time. Hence, the temperature of the Earth’s surface was higher than its calculated temperature based on the Sun’s output at that time.

The geocorona is the luminous part of the outermost region of the Earth’s atmosphere that extends to at least 640,000 km from the Earth [53] . It is seen primarily via far-ultraviolet light (Lyman-alpha) from the Sun that is scattered by neutral hydrogen.

Far-ultraviolet photons in Geocorona have been observed out to a distance of approximately 100,000 km from the Earth in the article [54] . The first high-quality and wide-field-of-view image of Earth’s corona of 243,000 km was obtained by Hisaki, the first interplanetary micro-spacecraft [55] . Hisaki acquires spectral images (52 - 148 nm) of the atmospheres of planets from Earth orbit and has provided quasi-continuous remote sensing observations of the geocorona since 2013 [56] . The most popular explanation of this geocoronal emission is the scattering of Solar Far-Ultraviolet (FUV) photons by exospheric hydrogen.

X-rays from Earth’s geocorona were first detected by Chandra X-ray Observatory in 1999 [57] . X-rays were observed in the range of energies 0.08 - 10 keV [55] . The main mechanism explaining geocoronal X-rays is that they are caused by collisions between neutral atoms in the geocorona with carbon, oxygen and nitrogen ions that are streaming away from the Sun in the solar wind [57] [58] [59] . This process is called “charge exchange” since an electron is exchanged between neutral atoms in geocorona and ions in the solar wind.

X-rays from Planets were also observed by Chandra [57] . According to NASA:

Ÿ The X-rays from Venus and, to some extent, the Earth, are due to the fluorescence of solar X-rays striking the atmosphere;

Ÿ Fluorescent X-rays from oxygen atoms in the Martian atmosphere probe heights similar to those on Venus. A huge Martian dust storm was in progress when the Chandra observations were made. The intensity of the X-rays did not change during the dust storm;

Ÿ Jupiter has an environment capable of producing X-rays in a different manner because of its substantial magnetic field. X-rays are produced when high-energy particles from the Sun get trapped in its magnetic field and accelerated toward the polar regions where they collide with atoms in Jupiter’s atmosphere;

Ÿ Like Jupiter, Saturn has a strong magnetic field, so it was expected that Saturn would also show a concentration of X-rays toward the poles. However, Chandra’s observation revealed instead an increased X-ray brightness in the equatorial region. Furthermore, Saturn’s X-ray spectrum was found to be similar to that of X-rays from the Sun.

In our opinion, the described picture of Geo and Planetary Coronas is similar to the picture of the Solar Corona:

Ÿ At the distance of 243,000 km from the Earth, atoms and molecules are so far apart that they can travel hundreds of kilometers without colliding with one another. Thus, the exosphere no longer behaves like a gas, and the particles constantly escape into space. In our view, FUV radiation and X-rays are the consequence of DMF3 (3.7 keV) self-annihilation [12] ;

Ÿ All planets and some observed satellites (Europa, Io, Io Plasma Torus, Titan) have X-rays in upper atmosphere of the planets, similar to the Solar Corona.

According to WUM, the characteristics of Geocorona are similar to characteristics of Solar Corona:

Ÿ The Geocorona made up of DMPs resembles a honeycomb filled with plasma including the ionosphere from about 60 km to 1000 km altitude;

Ÿ The Geocorona is a stable Shell around the Earth with inner radius R i n ≅ 6.4 × 10 6   m and observed outer radius R o u t ≅ 6.4 × 10 8   m . The total mass of this Shell is ≅ 4.1 × 10 18   kg ;

Ÿ At the distance of 640,000 km from the Earth, atoms and molecules are so far apart that the outermost region of the Earth’s atmosphere no longer behaves like a gas;

Ÿ X-rays and gamma-rays are the consequence of DMPs self-annihilation. They are going not only up and out of the Earth, but also down to the Earth’s surface;

Ÿ In case a source altitudes of gamma rays is below 20 km (within the altitude range of thunderstorms), they can reach surface of the Earth (see Section 4.10).

Lightning initiation problem. Years of balloon, aircraft, and rocket observations have never found large enough electric fields inside thunderstorms to make a spark. And yet lightning strikes the Earth about 4 million times per day. This has led to the cosmic-ray model of lightning initiation [60] [61] .

Terrestrial Gamma-Ray Flashes (TGFs) were first detected by chance by NASA’s Earth-orbiting Compton gamma ray telescope that was searching for Gamma Ray Bursts from exploding stars, when it unexpectedly began detecting very strong bursts of high energy x-rays and gamma rays, coming from Earth [57] .

There are two leading models of TGF formation: Lightning leader emission and Dark Lightning [60] , but they still do not account for:

Ÿ A bright TGF observed by a spacecraft in the middle of Sahara Desert on a nice day. The nearest thunderstorms were ~1000 miles away [62] ;

Ÿ An ultraviolet telescope installed on the Russian satellite has registered several powerful explosions of light in the Earth’s atmosphere at an altitude of several dozen kilometers in clear weather [63] .

Additionally, in frames of existing models it is difficult to explain the following results:

Ÿ Unusual surges of radiation at 511 keV when there were no thunderstorms;

Ÿ Beams of antimatter (positrons) produced above thunderstorms on Earth;

Ÿ A gamma-ray flash coming down from the overhead thundercloud;

Ÿ Some lightnings produce X-rays and others do not;

Ÿ Explosive production of energetic particles observed from space;

Ÿ The spectra of TGFs at very high energies (40 - 100 MeV) [11] .

According to WUM, the characteristics of Geocorona are similar to the characteristics of the Solar Corona. As the result of a large fluctuation of DMPs in Geocorona and their self-annihilation, X-rays and gamma-rays are going not only up and out of the Earth, but also down to the Earth’s surface. In our view, TGFs are, in fact, well-known Gamma Ray Bursts. The spectra of TGFs at very high energies can be explained by DMF1 (1.3 TeV) and DMF2 (9.6 GeV) self-annihilation [12] . Lightning initiation problem can be solved by X-rays and gamma-rays, which slam into the thunderclouds and carve a conductive path through a thunderstorm. From this point of view, it is easy to explain all experimental results summarized above.