Magnetic trap of Devil. Calculation.

In this column you will find two approaches to find the main characteristics of the magnetic trap. The first approach, named Nucleon Embedding, was invented in the autumn 2008 and was corrected in the beginning of 2009. The second approach, named Creation of Magnetic Hole, was received in March-April 2009. The results of both approaches coincided excellently. That means that the idea of magnetic trap is correct and the possibility of its creation on colliders is very high. That means that our Earth will be destroyed if we will not stop the powerful colliders. The third approach, named Characteristics of Magnetic Holes, leads to analogues results and splits on several possible branches.  

The first approach. Nucleon Embedding.

Introductive amendment.

The creation of a magnetic hole is similar to composing of nuclei from nucleons.

Let the mass of nucleon consists from two parts: the field mass of nucleon and the condensed mass of nucleon. Look at the fig. a: the field mass is depicted by the brown dots; the condensed mass - by blue circle. The field mass corresponds to the field of p-mesons, or to gluon field in more fresh interpretation. The condensed mass corresponds to the mass of naked nucleon or to the total mass of quarks in the nucleon.

The sum of masses of two free nucleons (proton and neutron) is bigger than the mass of deuteron, made from proton and neutron. The difference between the initial and final states corresponds to the binding energy of the created nuclei, deuteron. If we neglect the kinetic energies of particles in the initial and final states, then we can say, that the binding energy of nuclei is equal to the energy of emitted photons. In order to restore the equality of masses between initial and final states, we can put the interacting particles into a box with mirror walls. Thus we can add the mass of emitted radiation into the side of equation, corresponding to the final state.

At the process of further connecting of nucleons, we'll see, that the specific condensed mass of the resulting nuclei will be diminishing, and the field mass will be growing. The box will also be filled by more photons. Look at the fig. b and c, where blue circles becomes smaller, but the density of brown dots becomes bigger.

If there were only the nuclear forces inside the nuclei, then the moment will come, when the condensed mass would achieve the zero value. That is showed at the fig. d, where the radiuses of blue circles are already zero. But in the nuclei there are also the repulsive electric forces. These forces give no possibility to create the infinitely big nuclei. These forces are responsible for the iron peak in the periodical system of elements and for the existence of the final stabile element in periodical system. If there were no electric repulsive forces, then all nucleons would drop into the growing "nuclear hole", which would have no the limit of growth.

The growth of magnetic hole is similar to the growth of "nuclear hole". But here the proton, capturing by the hole, emits a positron; the neutron, dropping into the hole, emits an antineutrino.

Proton and neutron can be imagined as current pretzels with three poles:

u, u, d in proton , 

and d, d, u in neutron .

If the nucleon enters into a magnetic field, its current pretzel is undergo to the straightening forces. The more field - the more straightening forces - the more field mass - the less condensed mass. At last, when the field riches the critical value (10¹⁶ Tl), the nucleon undergo decay - its current pretzel with three mixed poles transforms into a vacuum current vortex, which is shown on the following figure in the form of a ring with two magnetic poles N and S.

The "memory about the proton's knot" is brought out by positron.

 The "memory about the neutron's knot" is brought out by antineutrino.

In the above process the couple of photons are also emitted.

It is possible to compare the growth of the "nuclear hole" with the growth of the gravitational black hole. 

The blue circles are masses, dropping to the event horizon, or moving around it on circumferences. If they are dropping, then their radiuses becomes less, and the density of brown dots will grow in the center of our figure. In this case the density of brown dots corresponds to the "power and depth" of a gravity funnel of eternally forming black hole. It is known that there are no completely formed black holes in the Universe. From the point of view of external observer, the object drops into the black hole infinitely long.  So, it is possible to say that the mass of eternally forming black hole consists of two parts: the constantly diminishing mass of dropping objects (condensed mass, blue circles) and the mass of a black hole's funnel, or mass of BH's gravity field (field mass, brown dots). It is clear that at the time of a gravity collapse there will be the emission of photons, but I can not say now the fraction of it.

In the case of magnetic hole there are two eternally growing funnels, corresponding to N and S poles. The bottom calculation shows that at the time of magnetic collapse, the one thirds of rest energy of the captured matter goes into the growth of magnetic hole, and two thirds of captured energy are spent on radiation and on kinetic energy of emitted shell.

Calculation.

I have done a more detailed analysis of my old calculation and found in it a mistake.
The minimum mass of a magnetic hole may be even less than it should have from the first calculation.
But to define it precisely is not possible, because we do not know the magnetic moment of a particle, which will remain after the capture of the nucleon by magnetic hole.

Below I will talk about "imbedding".
Imbedding of nucleon into another nucleon, should not be taken literally. This is an approximate calculation. Magnetic hole is not composed of nucleons. It captures a neutron, and emits an antineutrino. It captures a proton, and emits a positron. In both these cases it can spend its energy on the kinetic energy of these ejected leptons and on radiation of photons. Magnetic hole consists of bosons, quanta of magnetic field. The magnetic moment of this boson is of course different from the magnetic moment of nucleon. Therefore, our numerical result is an approximation.

Nucleon has a magnetic field. Consequently we can divide the energy of nucleon per two parts: the magnetic field energy and the energy connected with the restlet of nucleon, - condensed energy. The condensed energy is connected with its condensed-mass m_R. The total condensed-mass of several connected particles depends from their quantity. Compare: the rest-mass of nucleus is also depend from the quantity of its nucleons, and this dependence in not linear.

At some critical number of captured  nucleons, the hole's condensed-mass can be turned to be zero. In this case all its energy is concentrated in its magnetic field. That will be the minimal possible magnetic hole. It can be created at once, in the collision of two particle, but here we create it stage by stage, successively imbedding nucleons into it.  

Let's neglect the rest mass of emitted positrons and neutrinos.
Let's imagine the nucleon as a ring contour with an electrical current, creating the magnetic dipole moment, equal to experimental value of a nucleon's dipole magnetic moment, p.  

The energy of a ring contour is

E = pB.

It is concentrated in a magnetic field

B = μ₀I / 2R.

Magnetic dipole moment is

p = IS.

After a simple transformation we can write the energy of magnetic field

E = μ₀pRI²/2.

We supposed that the electric current was created by the movement of the elementary charge along the circular orbit of radius R with the speed of light. (The radius R is by p/p_n times greater then the Compton radius of nucleon. Here p_n is the nuclear magneton.)

Let's take a single nucleon. Its rest mass consists of two parts, - the mass of magnetic field and of the condensed mass of nucleon:

m = m_mag.field + m_R.

The energy of a nucleon is also consists of two parts:

mc² = μ₀pRI²/2 + m_Rc².

Let's "imbed" two nucleons, one in one.
Neglect polarization and related changes in the dipole moment.
The energy of dinucleon's magnetic field will increase by 4 times because of a the square over I². In the right side of the equation, we must add the energy of emitted photon, which is equal to pB=μ₀pRI²/2. It's origin: acceleration of one nucleon's magnet by another nucleon's magnet; growth of kinetic energy and the loss of condensed mass; transition of kinetic energy into the energy of the emitted radiation in the moment of nucleons collision. 

2mc² = 2² μ₀pRI²/2 + m_Rc² + μ₀pRI²/2.

Let's "imbed" the third nucleon. The energy of the thee-nucleon’s magnetic field will increase by 9 times. In the right side of the equation, we must add the energy of emitted photon, which is equal to p·2B. The energy of this photon is two times bigger than the energy of the first photon.

3mc² = 3²μ₀pRI²/2 + m_Rc² + μ₀pRI²/2 + 2μ₀pRI²/2.

Let's "imbed" the N-th nucleon. The energy of magnetic field of N-nucleon will increase by N² times. In the right side of the equation, we must add the energy of emitted photon, which is equal to p (N-1) B. The resulting condensed mass, m_R, becomes equal to zero.

Nmc² = N²μ₀pRI²/2 + μ₀pRI²/2 + 2μ₀pRI²/2 + ... + (N-1)μ₀pRI²/2.

mc² / (μ₀pRI²/2) = (N² + 1 + 2 + 3 + ... + (N-1)) / N.

Further absorption of nucleons can not lead to an increase in the magnetic field, because the total condensed mass will be negative. Consequently, we had received the value of critical magnetic field. The further capture of nucleons by magnetic hole leads to the growth of the radius of a magnetic hole.

The resulting value of the minimum possible energy of a magnetic hole corresponds to the energy equal to one-third of TeV, which can be achieved even at Tevatron!

The right side in the last formula for large N is equal to (3/2)N. Therefore, we can write

N = (2/3)mc² / pB;
B_max = NB.

2/3 of nucleon’s energy goes to the growth of the hole.
1/3 goes to radiation.
The last corresponds to the binding energy of the magnetic hole.

If we use the received formula N = (2/3)mc² / pB for protons, we'll receive the total energy E, needed to create the minimal possible magnetic trap, and E will be equivalent to the rest energy of N protons.  In this case N~510 and E~510mc², or about 255mc² per colliding proton.

If in the received formula N = (2/3)mc² / pB for p we will use the magnetic moment of neutron then N~350.

The formula for N can be transformed to N=(4/3) (p/p_n) / α, where α is the fine structure constant, 1/α = 137,036. If we suppose that the magnetic moment of resulting boson is equal to the nuclear magnetic moment, then the total energy, needed to create the minimal possible magnetic hole will be N = (4/3)/α = 183 a.u.m.

The results shows that the minimal possible magnetic hole can be made at collisions with the energy about one-thirds of TeV per particle.
This energy is three times smaller than can be achieved at Tevatron!

-Why it was not been received yet?
Here are some possible explanations.
1. We do not know the magnetic moment of the resulting boson.
2. It is possible that magnetic hole could be born in a collision of two quarks.
3. At the Tevatron they collide the protons with antiprotons and this lead to the annihilation of the baryon number.
4. We do not know the magnetic polarization dependence.
5. It is not excluded that microscopic magnetic traps were already created, and they are growing now somewhere inside the Earth.

The second approach. Creation of Magnetic Holes.es.

Let's find the value pB, where p is dipole magnetic moment of the first proton, and B is the magnetic induction, created inside the first proton by the second proton, flying beside the first proton. Let's solve the problem in the coordinate system, connected with the first proton. Magnetic induction is the variable value in time and in space.

B = μ₀qvSin(v,r) / (4pr²).

Let's the second proton fly along the straight line, lying in the plane of the contour S of the first proton. The minimal possible distance r_min between the line and the border of the contour is defined by the equality of kinetic energy to the potential energy of two elementary charges E_kin = q²/(4pε₀r_min).

The formula E = pB must by changed by the following one

dE = p (BdS) / S.

Let's create a computer program and the computer will compute and will sum up all dE, giving us in the result the total energy pB of magnetic field and its ratio to the rest energy.

At high energies the kinetic energy is the product of the particles momentum into the velocity of light, E_kin=Pc.

E² = m²c⁴ + P²c²;
E² = m²c⁴ + E_kin²;
E_kin = (E² - m²c⁴)^0.5.

The bottom figure corresponds to quite small energy of flying by proton, E ~ 1,3mc².

The next figure: v=0,968c, E=4mc².

The next figure: v=0,999999998c, E=160000mc². In the coordinate system of collider: E*=  126mc², or slightly more than 0,1 TeV.

The table of results for proton collisions.
The energy of flying proton: E = mc²/(α/2)² = 75115,461mc², or in the system of collider E* ~ mc²/(α/2) = 2·137mc²,

Column "A" means the number of computed and summed layers, nearest to the flying particle. The string "B" means the number of "rectangles" in one layer. It is visible that under B=10000 the precision of computation can be taken as quite good.

In the cells we can see the ratio (mc²) / (pB). The conclusion can be made after the analyses of the results in the right bottom corner of the table.
In the case the ratio more than 1, the magnetic trap for such energy is impossible;
in the case the ratio is less than 1, the trap is possible;
in the case the ratio is equal to 1, the investigated energy is equal to minimal energy needed to create the magnetic trap.

We can see that magnetic trap is possible for the upper case. In order to find the minimal energy, let's try the value E_total = mc²(4/3)(p/p_n)/α ~ 510mc², which was received in the first approach for the total minimal energy, needed to create the magnetic trap. Dividing this energy by 2, we'll receive the energy of colliding proton in the collider, E ~ 255,2mc². In the system of resting proton the flying proton must have the energy 65107mc².

Conclusion. The global catastrophe can be switched by magnetic trap, which can be made at proton collisions with 0.25TeV energy per proton.

Reproduction of biospheres and civilizations. Who are you, dear reader:
"a cell of good reason", "a curiosity cell", or "thoughtless muscular cell"?

You are here: Magnetic trap of Devil. Recent calculations show that it is not excluded that microscopic magnetic traps
were already created, and they are growing now somewhere inside the Earth.

Arguments, proving that "The LHC will lead to global catastrophe"; "Magnetic holes exist";
"We will not be able to prevent the LHC launch and the following global catastrophe". Religious and mystic arguments.

The failed report "What will LHC give us, the particle of God, or magnetic trap of Devil?"

The Letter to the President of Russia.

The Letters to the Prosecutors Office of the Russian Federation.

Let's make the Living Wall in front of LHC.

Magnetic Hole. Pictures.

To index of Space Genetics

My Curriculum Vitae

mailto: Ivan Gorelik

The third approach. Characteristics of Magnetic Holes.

This item was created in the period 16-25 April 2009.

Indexes ₁, _n, _pr identifies the values connected with the minimal magnetic hole; any magnetic hole, and proton, correspondingly.
Suppose that the magnetic flux, penetrating the magnetic hole, is quantable. Then, assuming that in the physical vacuum, there is a limiting magnetic field and this field is a constant in the plane of the circle of magnetic hole, then the radii and areas of the magnetic holes can form only a series of specific values.

Let the minimum magnetic hole of radius R₁, with the area S₁ and the thickness d₁, has the limiting magnetic field B₁. The value B₁S₁ equals to one quantum of magnetic flux Φ₁. Doubled quantum of magnetic flux is consistent with the values of R₂, S₂, d₂, B₂. At the bottom we will see that the limiting magnetic field does not depend on the radius, and that radius and thickness of the magnetic hole grow proportionally to each other.

At each point in the plane of the minimal magnetic hole there is a limiting current curl, created by the virtual electron-positron pairs. For the calculations, we can replace the limiting current curl into the equivalent current, created by elementary charges moving on a circle of radius R₁ with the speed of light. The number of these imaginary elementary charges, is denoted by N₁.

Then the expression for the current would take the form:

I₁ = N₁q / t = N₁q / (2pR₁ / c) = N₁qc / 2pR₁.
I_n = N_nqc / 2pR_n.

Applying the known formulas Φ₁ = B₁S₁; Φ_n = nh / 2q; B₁ = μ₀I₁ / 2R₁; c² =1 / μ₀ε₀; q² = 2αhcε₀, we will find the number N.

N₁ = 1 / α ~ 137,036.
 N_n = n / α ~ n·137,036.

To prove the correctness of the formulas, send around a circle 137,036 elementary charges with the speed of light. Each of these charges creates a the center of the circle the magnetic induction B = μ₀qc / 4pR². Multiplying this expression by1/α and by the area of a circle, pR², we'll get a quantum of magnetic flux, Φ₁ = μ₀qc / 4α = h / 2q.

Suppose that a proton, entering the magnetic field B, splits  and his remaining boson condenses into a magnetic hole. Suppose that proton decay occurs when the energy of magnetic interaction between the hole's field B and a current in the proton I_pr, or with the magnetic moment of proton, will be equal to the rest energy of the proton, multiplied by some number x. We'll investigate here several options for different x-numbers, writing formulas one after another, painting them in different colors. Black color - a general formula for the quantum number n = 1, red - an interesting resonance; green - x transferred from right to left, to the nuclear magneton; blue - x is hidden in the proton magnetic anomaly, the black - a general formula for an arbitrary n.

B₁I_prS_pr = xmc².
B₁I_prS_pr =2p²mc².
B₁2p_n =mc².
B₁p_pr =mc².
B_nI_prS_pr = xmc².

Here:  B₁ = μ₀I₁ / 2R₁ - magnetic induction of a minimal hole; I₁ = qc / 2pαR₁ - the current of imaginary charges of a hole; I_pr = qc / 2pR_pr - the current of elementary charge in the proton; S_pr = pR_pr² - Compton area of the proton; R_pr = h / 2pm_prc - Compton radius of the proton. In the formula B₁2p_n =mc² the value 2p_n is the supposed magnetic moment of the remained boson of decayed proton with a spin equal to 1, which explains the cause of "2-coefficient" appearance before the nuclear magneton p_n. Formula B₁p_pr =mc², containing the anomalous magnetic moment of the proton, p_pr =2.7928p_n, can be converted to a form B₁I_prS_pr = xmc², where x = 1/2.7928.

Applying the above formulas, we can get some characteristics of magnetic holes. The results will look more beautiful with the introduction of the replacement of y=(2x)^0.5 and by using somewhere the proton's Compton length λ_pr = 2pR_pr.

R₁ = R_pr / y.
R₁ = R_pr / 2p.
R₁ = R_pr = 2,103089·10^-16 m.
R₁ = R_pr / 0,846 = 2,485228·10^-16 m.
R_n = n^0.5R_pr / y.

Current:

I₁ = yqc / αλ_pr.
I₁ = qc / αR_pr.
I₁ = qc / αλ_pr = 4981134 A.
I₁ = 0,846qc / αλ_pr. = 4215214 A.
I_n = yn^0.5qc / αλ_pr.

Magnetic induction:

B₁ = y²μ₀qc / 4pαR_pr².
B₁ = μ₀pqc / αR_pr².
B₁ = μ₀qc / 4pαR_pr² = 1,488162623·10¹⁶ Tl.
B₁ = 0,846²μ₀qc / 4pαR_pr² = 1,06569564·10¹⁶ Tl.
B_n = y²μ₀qc / 4pαR_pr².

The first conclusion: Magnetic induction in the latter formula does not depend on n, hence, the magnetic induction is similar for the magnetic trap of any size. According to the above obtained dependencies R_n ~ n^0.5 and I_n ~ n^0.5, the current should grow proportionally to the radius.

The proper magnetic moment of elementary particles exceeds the orbital magnetic moment by two times. Suppose that the spin of remaining boson is equal to unity. Then the classical expression p = IS will receive the additional factor - "2".

p₁ = 2I₁S₁ = R_prqc / yα
p₁ = R_prqc / 2αp
p₁ = R_prqc / α = 1,384278304·10^-24 J/Tl.
p₁ = R_prqc / 0,846α = 1,6358068·10^-24 J/Tl.
p_n = R_prn^1.5qc / yα

The energy of a magnetic hole.

E₁ = p₁B₁ = yhc / αλ_pr
E₁ = p₁B₁ = hc / αR_pr
E₁ = p₁B₁ = hc / αλ_pr = 2,060031232·10^-8 J, or 137.036mc².
E₁ = p₁B₁ = 0,846hc / αλ_pr = 1,47521935·10^-8 J.
E_n = p_nB_n = yhcn^1.5 / αλ_pr

Inductance of the minimal magnetic trap can be obtained by equating the energy LI²/2 and the energy E.

L₁ = λ_pr μ₀ / y
L₁ =  R_pr μ₀
L₁ = λ_pr μ₀ = 1,660532598·10^-21 Гн.
L₁ = λ_pr μ₀ / 0,846 = 1,962257543·10^-21 Гн.
L_n = λ_prμ₀n^0.5 / y.

Capacity of the magnetic trap can be obtained by equating the energy Q² / 2C and the energy E. The charge Q_n is defined by the above mentioned quantity of elementary charges q, Q_n=nq/α.

C₁ = λ_prε₀ / y .
C₁ = R_prε₀.
C₁ = λ_prε₀ = 1,17000110·10^-26 F.
C₁ = λ_prε₀ / 0,846  = 1,38259465·10^-26 F.
C_n = λ_prε₀n^0.5 / y.

The second conclusion: The astonishing simplicity of the formulas for inductance and capacity of the magnetic trap confirms its reality.

Threshold voltage is received, using the definition of capacity C = Q / U.

U₁ = qy / αλ_prε₀.
U₁ = q / αR_prε₀.
U₁ = q / αλ_prε₀ = 1876544054 V.
U₁ = 0,846q / αλ_prε₀. = 1343821425  V.
U_n =  n^0.5yq / αλ_prε₀

The period of the proper oscillations.

T₁ =2p(L₁C₁)^0.5  = 4p²R_pr/ yc.
T₁ =2p(L₁C₁)^0.5  = λ_pr  / c. This period is equal to the proton's Compton time.
T₁ =2p(L₁C₁)^0.5  = 4p²R_pr / c = 2,7694703·10^-23 c.
T₁ =2p(L₁C₁)^0.5  = 4p²R_pr / 0,846c = 3,2726933·10^-23 c.
T_n = 2p(L_nC_n)^0.5  = 4n^0.5p²R_pr / yc.

The wave resistance.

Z₁ = U₁ / I₁ = Z₀
Z_n = U_n / I_n   = Z₀

The value Z₀ =(μ₀/ε₀)^0.5 is the wave resistance of the physical vacuum. But the magnetic trap is not a wave, propagating in some direction with the speed of light. A stationary coordinate system can be associated with a magnetic hole.

Using the formula z = (R² +(X_L -X_C)²)^0.5 we can see that the total resistance of the magnetic trap is zero if its active resistance R is zero. It would indeed be zero, since the current in the circuit is created by a synchronous movement of the virtual particles.

Substituting our different L, C, T into the formulas X_L= ωL= 2pL/T, X_C = 1 / ωC = T / 2pC, z = (R² +(X_L -X_C)²)^0.5, we can make sure ourselves that they give the same results:

X_L1= X_L1 = X_L1 = X_L1 = X_Ln = μ₀c = (μ₀/ε₀)^0.5 = Z₀
X_C1 = X_C1 = X_C1 = X_C1 = X_Cn= 1 / cε₀ = (μ₀/ε₀)^0.5 = Z₀
z₁ = z₁ = z₁ = z₁ = 0.

So, the hole has a magnetic inductance, capacity, their own proper frequencies. Building on the analogy further, we can imagine the magnetic hole in the form of a can, the lateral surface of which is a one-loop coil and the lower and upper lids are the linings of the condenser. Within a can, there are limiting current curls of virtual electron-positron pairs, which we mentally moved on the side surface in the form of a current of imaginary elementary charges.
Using the formulas for the capacity of flat capacitor, C = ε₀εS/d, and for the inductance of one-loop (N=1) coil, L = μ₀μN²S/d, and by comparing them with our formula C_n = λ_prε₀n^0.5/y, L_n = λ_prμ₀n^0.5/y, S_n = pR_n², R_n = n^0.5R_pr/y, we can see, that the thickness of the magnetic hole is exactly two times smaller than its radius.

d_n = R_n / 2.

Conclusions.

So, what is a magnetic hole?

Given the results, obtained in this section, magnetic hole may represent one of the following four objects:

1. Permanent magnet, created by a current I_n = yn^0.5qc / αλ_pr in the contour with the inductance L_n = λ_prμ₀n^0.5 / y;
2. Permanent magnet, created by a current I = I_n  in the contour with the inductance L = L_n/2 and simultaneously is an electric dipole, characterized by a constant voltage U = U_n , emerging between the lining of the condenser with capacity C = C_n/2.
3. Oscillatory circuit, with alternating current, the amplitude value of which is I_~ = I_n, inside the inductance L = L_n; and with variable voltage U_~ = U_n, emerging between the linings of the condenser with capacity C = C_n.
4. The contour that creates a permanent magnetic field, provided by a constant current I_c. The electromagnetic oscillations with the amplitude value I_~ can be created in the contour. The values  I_c and I_~ can be arbitrary, but I_c + I_~ = I_n and each of them is no more than I_n. L = L_n; C = C_n.

In the second item, the calculated inductance and the capacity were divided by two, because it is logically correctly to assume that the energy of a magnetic hole E splits into two equal parts LI²/2 and CU²/2, not changing over the time. In the items 3 and 4, there is no dividing by two, because of fluctuations in those cases; because of simple energy transfer from the magnetic field into the electrical field and vice versa.

The most realistic items are the first and fourth option. The second option is possible if the virtual electrons and positrons in a constant magnetic field are removed from each other in the direction along of the strength lines of the magnetic field.

The energy of the magnetic hole grows proportionally to the cube of its radius. The period of oscillations increases proportionally to the radius. Frequency is the inverse value of the period. Estimated calculation shows that the magnetic hole, formed in the case of absorption of the Earth, will have a frequency about 1 MHz, with the absorption of the Sun - 10 kHz, with the absorption of the star of hundred solar masses - 1 kHz. Given the gravitational amendments, these frequency can be significantly increased by the gravitational redshift. This means that the observed frequencies of pulsars (up to 0.7 kHz) show that pulsars actually can be the magnetic holes, or containing holes in their centers, constraining the neutron shell from collapsing by its powerful magnetic field.

However, for objects with a mass of approximately one hundredth the mass of the Sun, the radiuses of the magnetic holes is less than the gravitational radiuses. But to judge the gravitational radiuses, we need to know, what is the gravitational mass of a magnetic hole? The fact that it has inertial mass, no doubt. But whether the gravitational mass and the inertial mass are equal in this case? And whether the gravitational field of a magnetic hole isotropic, or it has axial-symmetrical directivity pattern?

Estimated radius of a magnetic hole in the case of absorption of the
Earth ~ 6 meters;
Sun ~ 400 meters;
Stars of 100 solar masses ~ 2 km.

We started from the quantized magnetic flux. In order to increase the magnetic flux per one unit, magnetic hole must absorb at the same time the packet of nucleons. The simultaneous absorption of "stack of nucleon" sounds sloppy. But for the first, why not absorb nucleons by stacks. Secondly, the quantization of magnetic flux can now be dropped - it was necessary only as a framework through which we performed the computations. And thirdly, it is not excluded that the magnetic hole can take any value of quantum number n, including fractional, but integers are resonant numbers, sought by the magnetic hole - such resonances, which planet seek in the solar system, are large lot.

What is Big Bang and who are bigbangers?

From discussion at forum.

Four-dimensional Rotation you can see here in the gif animated
picture.

If our Universe is closed, then it can rotate. The last observations give several proves of this idea.
 

Somebody: Excellent 4-D information!
I've been re-working my "hypersphere" (4-D) theory of the Red Shift, but things not going so well. Problem is that Hubble distance data actually fits distance to stars even without "expanding" 4-D universe (so-called "no center") but my theory does not seem to fit so well. I'm not even sure why Hubble distance is a log function of red shift.

Thank you.
My H is the angular velocity of light in the hypersphere-universe. It is H=73,3 km/s/Mpc or 2.37565(35)E-18 rot/s or 2.37565(35)E-18 rot/s.

This value gives us the CONVENTIONAL age of Universe: 13.3387(23) bln.years/rot.

Compare this value with CONVENTIONAL age of Earth: 365 days/rot.
The ACTUAL age of Universe is infinity.

If there is rotation then there is f=ma=mc²/R.
Every proton has quantum of action h - universal microrotation; and quantum of force f, (h·ν₀ = f·λ₀) leading to universal macrorotation.
Under the influence of this quantum of force every proton rotates in the Universe, making the one full rotation per one Universal year, which is equal to 13.34 bln.years.

The value ν₀ is the boundary frequency. ν₀ = NH= 734.147!/s, (λ₀= 408 km/!, t₀=0.00136s/!)
This is the center of acoustic fluctuations.
This is the boundary between graviton and photon in 4-d quantum lattice of Universe with the main quantum number N=3.09030·10²⁰.
The sign ! is a "flash", the lattice parameter of macroscopic synchronization.

Our Universe is eternal and must have the eternal sources of energy.
The solution of Bell paradox gives the stellar sources of energy.
Macroscopic synchronization of matter in the gravity field leads to energy output.
This source gives 2/3 of the solar energy output.

My formula of the stellar energy output (P~M⁴/R⁵) coincides with observations and reminds the Hawking formula for BH evaporation (P~M⁴/R⁶). Hawking formula leads to crisis under subplankian values. The cause is clear.
Hawking did not used the main quantum number.

If we substitute the N in his formula we will go out from the crisis under subplankian values, and we will receive the formula of stellar energy sources in the ETERNAL Universe.

The second conclusion: if the corrected Hawking formula denies the black holes, what star's explosions do we observe in the sky?

The answer is clear, - that is MAGNETIC holes.

Nucleon has the rest energy mc².
It also has the magnetic energy, which is about 0.001 of it's rest energy.

If the nucleon will enter in the 1000 times stronger magnetic field, it's magnetic energy will overpass its rest energy and the nucleon can decay.

Some theorists dream about the "monopole catalyses of proton's decay" at the collider.
I say, that we will have no "monopole catalyses of proton's decay" but bose-condensation of proton and neutron into magnetic trap of Devil. The condensation is accompanied by emission of positrons and antineutrino from decaying protons and neutrons. Resulting bosons will widen the surface of magnetic trap.
Magnetic trap has the constant critical field ~ 10¹⁶Tl.
The Earth can be transformed into magnetic trap with the radius about 6 meters.

Microscopic magnetic traps can be made on collider.

CERN scientists do not pay attention on my letters because they are slaves of BB religion and want to test their religious theory at the collider.
BB - is a marasmatic theory.
BigBangers will make "Big Bang" from our Earth. But the Universe is eternal.