THE QUANTUM ENIGMA

 

THE QUANTUM ENIGMA
 The quantum mechanics can be very easy.
NEW KEY OF QUANTUM NUMBERS.
 (Please forgive my faulty English)

 

The most difficult thing we have sometimes put it.
Often it is presented as quantum mechanics to their more complex, confused or seemingly irrational part.
But have we represented all the rational possibilities of the quantum content?
The road toward the evolution origin is a road toward the simplicity, to the view.
The quantum mechanics, showed among the difficult physics, these are however, sustained by numbers and the most elementary geometric symmetries.
The space, the time, the speed, etc. Each fundamental component in the quantum world constituted by the first elementary wholes numbers 1, 2, 3, 4, 5, 6, 7, etcetera and  this symmetry.
We want to show them something new.

A long time ago (1811), Amadeo Avogadro discovered that in equal conditions, the same number of molecules or isolated atoms of any gas occupy the same volume.
This way, dividing the occupied volume by the number of molecules a quantum spaces is obtained.
But, this behavior is not strange when each particle is subjected to an infinity of addresses and speeds, due to its continuous ones them do collide to each other?
Seemingly no isolated tree would allow knowing the law that governs in that forest. In this case, the quantization between number and space is a uniformity law of average masked.
It is the called trajectory free stocking. Where the observation of a particle in a shorter instant doesn't find a sense that indicates a law. This fundamental law has gotten complicated.

The quantization, not always appear sow confused, for luck. In the world of the waves, the boxes of resonance, the antennas radio stations or in most of the musical instruments their space is distributed in form of whole wave longitudes. Also, in any opportunity they form geometric structures of perfect symmetry.

The symmetrical distributions are most in the nature. These are forming the minerals, the plants, the animals, etc. Also, the symmetry sense is in the base that informs our balance senses, equality or justice. But especially it is present in the quantum-electromagnetic world.
We will see it.

At one time of the past, it was believed that the atoms of the Periodic System had structure in octaves and these behaved as musical instruments. The Periodic System is an example of quantum  and symmetrical distribution formed by elementary numbers.
A demonstration allows to connect its structure with the most interesting sense of  the quantum mechanics. Without equations, only helped by their rules of the construction and of transition. The quantum state can settle down as an analogy of a position on a structure.

Johann J. Balmer, professor in 1884 from Basle and mathematical expert wanted to find how the nature decomposes the light.
Nobody could foresee that he would find important difference among first whole numbers: 1, 2, 3, 4, 5, 6, 7, etc. Something in the origin of the light should begin from zero.

Years later (1900), Max Planck would even simplify more the question when discovering that all expressión of electromagnetic energy was built with units of uniform quantity.

Later (1924), Wolfgang Pauli demonstrated that each electron that is part of the atoms could be identified with four numbers. Then certain movements of electrons emit light in whole numbers, this is related with the quantification of the energy and those electrons can be identified.

From then on we know that the geometric symmetries appear in the structure of the Periodic System and that the quantum numbers govern the structure of the atoms.

For the structure of the fundamental quantum mechanics there are not independent trees. The group of the forest assigns the presence of each tree. Many phenomena can even be explained, alone, if these happen at the same time. The particle of Avogadro flew until it tripped with another particle and exchanges direction and speed. In our game nobody will move without having where to go. Neither dead or alive cat.

An electron is similar to another and there is not way to distinguish it. But have half position it should correspond for numbers that identify it, although it can move to other  numbers without previous warning.

This regularity allows to give numbers to the places and the electrons that occupy them. But also, we have appearance of luck. We may to give, simple geometric attributions, to the four own quantum numbers, in a two-dimensional outline. The most important thing is to know where these are, to know how to identify them and to know which their paper is with relationship to the other numbers. It is what facilitates being able to them to prepare on a geometric outline. Nevertheless in this alone outline the relationship of the structure of the four numbers adapt and not its physics. The important thing, is the verifiable thing.

It is to know the behavior of an automobile without having to know the countless formulas, designs and procedures that constitute their production. Its equations are only important complex parts of a reality-still unknown in our case. However, the readers will understand it better when they know the purpose that is pursued.
That is also equally important.
 


In the Periodic System and the atomic theory, the fundamental thing begins with something as simple as this figure.

(o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o)
(o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o)
(o) (o) (o) (o) (o) (o) (o) (o) (o)
(o) (o) (o) (o) (o) (o) (o)
(o) (o) (o) (o) (o)
(o) (o) (o)
(o)
(o)
(o) (o) (o)
(o) (o) (o) (o) (o)
(o) (o) (o) (o) (o) (o) (o)
(o) (o) (o) (o) (o) (o) (o) (o) (o)
(o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o)
(o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o) (o)
Figura 1.

It seems the board of a game. This figure is adopted to obtain a jump toward a simplification and to stand out other invaluable relationships.
The interesting thing begins if we adapt it to the keys of the atomic structure.

This structure of the quantum numbers, it must assume the qualification of the configuration states; the states of uniform energy in the levels of the Hydrogen; the states of distribution of successive energy associated to the construction of the Periodic System; the states of absence or of presence of magnetic or electric fields; the excitement states; the transition states; the numbers of wave functions; etc.

However, it would be impossible to make this qualification without a correspondence with the origin of these possibilities.

An elementary conception of the arithmetic and symmetrical order has to be in the fundamental condition of the quantum physics.
It is in the shapes of the energy or the structure of elementary energy.
Without forcing the limits of each number, neither infinite fraction neither to only have to admit numbers that behaves well.
Because, it comes from the origin of the mathematics. To try to measure this with their developed complexity, simply, it is outside of place.


Figure 2. The key of the quantum numbers.

The key of the quantum numbers.

The key of the quantum numbers is a distribution, of the atomic possible levels, in fundamental state. It is determined by the 4 quantum numbers coordinated on small circles like a grid in a map. Designated with the letters n, l, m, and s.
These indicate the state of an electron in order in energy ways.

It shows incorporated the concept of antagonism, repulsión among even, equivalences and symmetry.
We substitute the classic description with their biggest extension, complexity and history with this new outline.

At the moment, we have enough with knowing about these numbers the following thing:
The columns n and
l  these can also be designated as letters or as numbers. The letters have historical origin. The column n is without letters. These usually indicate in capital. Its numeric order 1, 2, 3, 4, 5, 6, 7, it is equal to K, L, M, N, OR, P, Q.

Where
n  Column that designates at a level, to the order that occupies, margins that it embraces and distribution.
The level order n corresponds with the quantity of sublevels
l. The sublevels is divided in 2 symmetrical parts, located in  s  = -1/2 and +1/2.
Each new level adds 4 extreme symmetrical positions to a new sublevel.

l Column that designates the sublevel, the order that occupies, its lines and distribution.
(Be careful in not confusing the typography of the letter
l with the number 1) The sublevels correspond to the different steps that have intervened in the construction of the level.

m  It designates the order-of internal configuration or the same order of the magnetic separation of its components.

 s  It designates polarities or opposed spins between two, in this case, located in different hemispheres.

When a magnetic action intervenes, those four numbers showed structure staggered by the unfolding of its energy. Many authors use the four numbers directly with intervention of the  magnetic field " n, l, ml y ms ".

Why is it expressed in two symmetrical parts?
To represent the distribution of 2n2, the distribution  2l and the distribution 2s, in symmetry. The symmetry is necessary to the stability, also in the quantum world. And as an electron here is part of a symmetry, it won't admit an odd number of electrons like a stable state. This sustains some logic: the excitements or electronic transitions are displacements that are evaluated as asymmetries (without symmetrical displacements) from their centre.

In the equations the levels, sublevels or spins  don't  separate is this way. But it is known that physically the electrons are repelled among them and their couples are locate in opposed places. It would be enough with depending on different hemispheres, subjected as in  Coriolis effect to inverse rotations or with lightly separate orbits.


Figure 3.

As in the case of Avogadro we substitute the supposed  physics, by the  physics structure.

Consequently, it is necessary to designate the level, sublevel, the position m and the spin, for a  place name. For example
The level one is composed by two symmetrical parts between sign and letter - n and +n.
Understands an immediate sublevel to the center designated with sign and letter -s and +s.
The level two is composed by two symmetrical parts of n until -2 and +2.
Understands two immediate sublevels to the center, designated with sign and letters -+s and -+p.
The level three is composed by two symmetrical parts of n until -+3.
Understands three immediate sublevels to the center, designated with sign and letters -+s, -+p and -+d. Etc.

(a) Electronic capacity, predisposed for each level  n = 2n2.
The electronic order of configuration in the fundamental state is an order of linear structural establishment.
It substitutes the separation order, m and s, for the successión of elementary numbers from the left to the right (adopted sense) and of the inferior sub-level to the superior. The order sublevels configuration is in the table:

( 14 ) (15) (16) (17) (18) (19) (20) (21) (22) (24) (24) (25) (26)
 (12) (13) (14) (15 ) (16 ) (17) (18) (19) (20) (21) (22 )
 (10 ) ( 11 ) (12 ) (13) (14) (15 ) (16 ) (17) (18 )
(  8  ) (  9  ) (10 ) ( 11 ) (12 ) (13) (14)
(  6 ) (  7 )  (  8 ) ( 9 ) (10 )
( 4 ) (  5 ) ( 6 )
( 2 )
( 1 )
( 1 ) ( 2 ) ( 3 )
( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 )
( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) ( 7 )
( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) ( 7 ) ( 8 ) ( 9 )
( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 )  ( 6 ) ( 7 ) ( 8 ) ( 9 ) (10) (11)
  ( 1 ) ( 2 ) ( 3 ) ( 4 ) ( 5 ) ( 6 ) ( 7 ) ( 8 ) ( 9 ) (10) (11) (12 ) (13)
Figura 4.

To identify the position of an electron in their fundamental state it is  indicated their configuration place, with a level a, a sublevel land a superscript m that includes the position of s. Thus

n l m

In the appointment 4f11 for an electron, 4 are the level, f it is the sublevel and m the superscript it is the configuration order with the position of the number s. It is a characteristic electron of the atom 67, Holmium.

If a place was assigned about a level, the inferior levels are understood full with electrons, if the contained asymmetries are not indicated. (The asymmetries contain the differences that characterize each atom and generally the only ones that are indicated to define this state).

Before entering in considerations about as in the Periodic System the atoms are built it will be convenient-a very simple exercise. Next there is a table of numbers. Make a copy. Mark with a black points the order of numbers.
Keep in mind that it is placing the electrons, in the configuration order that builds the atoms. It is convenient to remind the simple order of the column 
l  and of the configuration m, for applied on the levels.

-------------------
( 0 ) ( 0 ) ( 0 )
( 88 )
( 87 )
( 0 ) ( 0 ) ( 0 )
---------------------- 7 ----------------------
( 0 ) ( 0 ) ( 0 ) ( 0 ) ( 0 )
( 84 ) ( 85 ) ( 86 )
( 56 )
( 55 )
( 81 ) ( 82 ) ( 83 )
( 0 ) ( 0 ) ( 0 ) ( 0 ) ( 0 )
---------------------- 6 ----------------------
 ( 96 ) ( 97 ) ( 98 ) ( 99 ) (100) (101) (102)
( 76 ) ( 77 ) ( 78 ) ( 79 ) ( 80 )
( 52 ) (  53 ) ( 54 )
( 38 )
( 37 )
( 49 ) ( 50 ) ( 51 )
( 71 ) ( 72 ) ( 73 ) ( 74 ) ( 75 )
( 89 ) ( 90 ) ( 91 ) ( 92 ) ( 93 ) ( 94 ) ( 95 )
----------------------  5  ----------------------
( 64 ) ( 65 ) ( 66 ) ( 67 ) ( 68 ) ( 69 ) ( 70 )
( 44 ) ( 45 ) ( 46 ) ( 47 ) ( 48 )
( 34 ) ( 35 ) ( 36 )
( 20 )
( 19 )
( 31 ) ( 32 ) ( 33 )
( 39 ) ( 40 ) ( 41 ) ( 42 ) ( 43 )
( 57 ) ( 58 ) ( 59 ) ( 60 ) ( 61 ) ( 62 ) ( 63 )
---------------------- 4 ----------------------
( 26 ) ( 27 ) ( 28 ) ( 29 ) ( 30 )
( 16 ) ( 17 ) ( 18 )
( 12 )
(11)
( 13 ) ( 14 ) ( 15 )
( 21 ) ( 22 ) ( 23 ) ( 24 ) ( 25 )
---------------------- 3 ----------------------
( 8 ) ( 9 ) ( 10 )
( 4 )
( 3 )
( 5 ) ( 6 ) ( 7 )
---------------------- 2 ----------------------
( 2 )
( 1 )
---------------------- 1 ----------------------

Figure 5

If it has put a black point successively, when completing the numbers  2,  4, 12, 20, 38, 56 and 88 find the following figures.


Figure 6

These correspond to the construction of the atoms: He, Be, Mg, Ca, Sr, Ba and  Ra. The levels or sublevels without occupying are not present in the real physics. Nevertheless, these will be necessary to use the transition rules.

We are in the base of the process of the quantum mechanics. This distribution coincides with an establishment order for the forms of quantum energy, but also with an order for the number z or numbers protons in the atomic nucleus. Without seeking, it has built a repercussión on a double structure, the electronics and the nuclear. Try to understand how it has happened.
The rule building atoms n+l, with a lot of interest would be discovered.  Level value n  +  sub level values
l.
Let see like it works:
The rule of fundamental construction is a rule that grants extraordinary abilities to the value of the sum of two variable terms.
It imposes an order to their equivalence.
That is to say 7 = 7+0;   =6+1; =5+2; =4+3. These would be the variables of the sum of 7.
When this variation implies to impose its orders, it establishes a rule.

It is the distribution of an equality in whose terms are incompatible the repetition of a level or a sub levels. Applied to the successive construction of atomic structure it imposes to their figures a jump toward different level and sub levels.

The rule n+l  is also a rule of symmetrical and perpendicular construction of the levels.  We have seen it in the successive construction of 2, 4, 12, 20, 38, 56 and 88 electrons. The same mathematical demands of 2n impose the square structure.
This way, n can assume a successive order similar to 1, 2 ,3, 4, 5, 6, 7, and 7
l = 0, 1, 2, 3, 4, 5, 6 without losing its symmetrical and perpendicular virtues. The successive order would prepare the route of the following table.
 
 

 

 

 


Value of  l. 
Rule 2(2l+1).. 
2n2= Incorporations

ORDER OF APPLICATION l=0,1, 2, 3.

l = 0
2
2x1
 

l = 1
6
+2x3
 

l = 2
10
+2x5
 

l = 3
14
+2x7=
 

 
 
 

2n2

SYMMETRIES

 n+l=1+0

 2

 

 

 

=2 

Adds = He . Z2

 n+l=2+0

2

 

 

 

 =2

+ previous = Be . Z4 

 n+l=3+0 = 2+1 

2

6

 

 

 =8

+ previous = Mg . Z12

 n+l=4+0 = 3+1 

2

6

 

 

 =8

+ previous = Ca . Z20 

 n+l=5+0 = 4+1 = 3+2

2

6

10

 

 =18

+ previous r= Sr . Z38 

 n+l=6+0 = 5+1 = 4+2

2

6

10

 

 =18

+ previous = Ba . Z56

 n+l=7+0 = 6+1 = 5+2 = 4+3

2

6

10

14

 =32

+ previous = Ra . Z88

 n+l =8+0 =7+1 = 6+2 = 5+3

2

 6

 10

 14

=32 

 + previous = x . Z120

 Figure 7

This figure shows a successive order of having filled for  n = 1, 2, 3, 4, 5, 6, 8.
The series have a capacity of  2n2 units distributed in successive levels.
While a level n is occupied by 2n2 units, number l is busy with 2(l +1).
This way, these are the product of bending the sum of a succession-odd number.
That is to say, 2(1+3+5+6+7+9) it is similar to 2, 6, 10,14,18 whose successive sum forms 2, 8, 18, 32 = 2n2.

The most important condition in the rule, incompatible makes  the repetition of levels or sublevels in the same series.
Then the order of filling cannot coincide with the order of levels. These cross.
Look for the components which fill the level 3 in the table of the figure 7. (3+0, 3+1, 3+2). We will find them in three different series. These form a successión diagonal whose capacity is of 2x32 = 2n2 =18.

Previously we have done the first half of the order of levels with a successión of 2n2. The rest invests the order of the previous symmetry.  We should conclude that 2n correspond to an order from opposed ends to the centre, where the symmetry contributes an equivalence sense. This equivalence sense is a pending subject for the physics.
 

THE N+L RULE ANOMALIES.

However, a conflict is generated between symmetries.
The n+l rule according to us has exposed, it seems to correspond to a distribution of pure geometry.
It are structural rules that seemed not to be affected by the physics. The principle of exclusión of Pauli is also a purely structural concept.
However, a conflict generated among symmetries arises. The value of the biggest symmetries becomes more active
 When surpassing half of occupation, the biggest symmetries are completed, with captured electrons of other smaller and more external symmetries. These are returned with the following electrons.  These are returned with the following electrons.


Figure 8

This way, to the position of the 23(3d3), fig. 8, he lack three electrons to complete the sublevel 3d-1/2. When incorporating 24(3d4) electron, this sublevel subtracts a remote electron of 4s(4s2) to complete the symmetry of its sublevel. 25(3d5) electron arrival, this returned to the 4s their electron extracted.

To the position of the 28(3d8) he lack two electrons to complete the sublevel 3d +1/2.
When incorporating 29(3d9) electron, this sublevel subtracts a remote electron of 4s(4s2) to complete the symmetry of its configuration. In 30 (3d10) electron arrival, this returned to the 4s their electron extracted.


Figure 9.

 To the position of the 40(4d2), fig. 9, he lack three electrons to complete the sublevel 4d -1/2. When incorporating 41(4d3) electron, this sublevel subtracts a remote electron of 5s(5s2) again to complete the symmetry of its configuration. Electron 38 have passed to occupy the 4d4 to approach to symmetry of that configuration. For the 42(5d5) complete symmetry.

It will conserve the subtracted electron by the 43(4d6) surpassed half of the sublevel.

When the 46(4d8)  electron incorporating, this lacks 2 electrons for the symmetry of 4d+1/2.  It is completed, subtracting to sublevel 5s the two electrons.
With of the 48(4d10) electron arrival, the extracted electrons returned are to the sublevel 5s.

The order will continue filling to 5p and to 6s until the 56 that it completes a total symmetry.

With 57(4f1) the electron should begun in 4f, in 71(5d1) by the shortest symmetry is displaced. With (58(4f2) immediately it is returned and restored 4f until being completed the symmetry of the 4f in the 63(4f7).
 

The 64(4f8) should begin 4f8, although in the shortest symmetry 71(5d1) displaced it is.
With 65(4f9)  immediately it is returned and restored 4f until being completed the symmetry in the 7014.

Sublevel 5d begins the one filled with an electron with 71(5d1)  and continues until the 77(5d7). The configuration symmetry again approaching in 5d the total, to the incorporating 78(5d8) electron, this sublevel subtracts a remote electron of 6s for the 5d that it will return after complete, in the 80(5d10).

The n+l order in 5p and 6s continue filling until 88(7s2) when it completes total symmetry.

The 89(5f1) and 90(5f2)  should begin 5f although to the shortest symmetry 6d  displaced are these. With the 91(5f2), a 6b is captured and it begins the 5f. With the 94(5f4) the other 6d is captured and the 95(5f7) subnivel is completed.

The  96(5f8) should begin 5f+1/2 although to the shortest symmetry 6d1 displaced it is.
With 97(5f9)  immediately it is returned and restored 5f until being completed the symmetry of the 5f in the 102(5f14).

It is remarkable the paper exercised by the half in the distribution of the Periodic System. We know that the interior levels of the atoms of the system are complete and these build its stability with symmetrical and closed contents, known as armours. The levels that compose the outlying layers, however, without having filled, these contain an order of holes before reaching their symmetries.

The atoms in cases coincide with classification of diverse attitudes according to number and disposition of their electrons.

These atoms adopt an attitude before and another after half of the one filled of their sublevels. We already notice something of this in the construction order.   The step of that half seems to exercise as a limit-among offer and it demands. Facilities or difficulties observed in the chemical combinations. If the electrons are less than the half, these act as surpluses. If these are more than the half, its atoms capture electrons. Even, these adopt the investment of its spin to separate the hypothetical half with a halfway quantity of energy +-1/2 s.
However, these also have something of perfect marriage because these are looked for, these usually remain couple and these are complement forming a stable group.

We have said:
"The asymmetries contain the differences that characterize each atom and generally the only ones that are indicated to define this state." (Minus total symmetries)
"If a place was assigned about a level, the inferior levels are understood full with electrons..."
"The excitements or electronic transitions are displacements that are evaluated as asymmetries from group."

Thus, a great quantity of atomic demonstrations can be represented as asymmetries. With regard to what references, these are shown as asymmetries?
Although surprising, can make it from perpendicular axes of a symmetrical
structure. Once again, doesn't matter to be a simple qualitative appreciation.

We know that the stability of the symmetries doesn't count when justifying most of the detected activity.  Why are the electrons only in imbalance shown more active, from different sign, on generally outlying layers?  These are the main cause of the atomic activity.

 Somehow we should substitute the study symmetry classes for classes of asymmetries. We abandon the inoperative symmetries to highlight the causes and forms of interaction of the most representative phenomena.  Their actions go to the obtaining a symmetry or final stability.

For our object, we will keep in mind the different asymmetries, that come from n, l and s, whose valuations make an appointment with the capital letters N, L o S.
Depend these of
a) the distribution of N,
b) the measure-angular L away from balance distribution and
c) the difference among spins' S of different polarity.

To measure the order of symmetries we have two perpendicular axes that produce antagonistic matings in four semi-fields. In the horizontal sense we can measure the asymmetry for estrangements of the vertical axis. In vertical sense we can measure the asymmetry spins for the difference of quantity, between both semifields.

The configuration order of electrons begins with an end and it follows the linear order toward the other end. The first electron in the end of a sublevel is in the place that possesses the most asymmetric value.  It is noticed with this, the coexistence of two different physical references, one is of lineal order and the other one is symmetrical. (We will extend on this)

Other cases to remember:
A planet in stable orbital speed must exist in balance between centrifugal force and centripetal force. This makes that the half speed,  half distance area of the orbit and  period of time are related through of Kepler laws or gravity law. This way, one has access to the other data with one alone, because these are diverse single expressions of the same phenomenon. Equivalences should be considered.

This supposition equally attributable to the electrons, by likeness between Law of Coulomb and Gravity Law. Being this way, the angular speed of an electron will be in correspondence with the level distances. Other interpretations should not be admitted without suspecting existence of some contradiction or error.

A strange contribution of  n+l rule  is not to recognize the different distances, speeds, times, etc. Its symmetry conditions, without a doubt, obey other references. The two-dimensional order and the successive whole number disposition seem to decide as only constituents of the order and the symmetry. If the load or the spin have the same value with different speed or it distances on their levels, it indicates indifference for the speed or the distance. This is confirmed for the electron distribution among different distance levels.

The references adopted by the quantum mechanics, have not assumed this equivalence among levels. It lacks an interpretation for which becomes symmetrical,  levels, distance, speed and mass.

Importance of the symmetry by time.
We have described some symmetries. We trust in that the reader has assumed his decisive importance. We have, maybe, not still mentioned the most developed symmetry: the force that avoids that everything disappears under our feet in almost infinitely small blacks hole.

The pendulum would be an example where an asymmetric successive route generates a small symmetry for time. In the State University of Pennsylvania, the oscillation of a chain has been used to cause chaotic movements the study of calculation of probabilities. Also in this intent, the overlapping of images, leads to symmetries. The televisión and the cinema also use this to deceive to our senses. They get elements that superimpose-in continuity.

Our senses are in syntony with spaces of more time that the recurrent time required for symmetry routes. Then, a different physical limitation can exist for each space or time. These are loans that a successive cycle requests at the time to exercise its symmetry.

Practically, much more than being made of mass we are energy. Thus the point create an orbit. The orbit creates a sphere. We know that the atoms that sustain us on the floor also sustain the mountains and the gravity of all the planets. Them are the simile of points or clouds in orbit able to maintain a symmetry for time to fantastic speeds to convert able the almost empty one absolute in true armors of enormous force. We sustain ourselves on energy. But, if the energy decreased to its mass, everything it would disappear under our feet, every time more concentrated by its own gravity. But to explain the symmetry for time, a gravitational system is necessary, doesn't unite quantum mechanics.

However, another decisive paper corresponds to the symmetry for time that  we will expose later.

A pending conflict.
a. For our case, the decisive physics is composed by three classes of systems, seemingly different:
a.  Electromagnetic systems of box of resonances, with symmetrical distributions of particles and distances.
b. Systems of electromagnetic projection, with particles in asymmetric distances. (As spectral analysis shows, etc.)
c. Systems of gravitational laws, with particles that don't obey electromagnetic symmetries neither distances uniforms. (Experiments with the laws of Coulomb and the laws of gravity)

The atom that doesn't emit, it is supposed that it should distribute its energy in a closed box. Its stability demands to conserve an electromagnetic symmetry, like in all the closed boxes
An atom that emits acts as an open box. It changes the symmetry for a scale in projection.
As we imagine some magic photographic eyeglasses quantized. The measure of more energy is the next one, diminishing in steps until the minimum size, in the horizon.  However, it is far-away maxim measure distances, diminishing in steps until the next minimum one size.

Their component masses obey laws of gravitational equivalence. But neither Coulomb nor Newton represent laws that obey electromagnetic symmetries, neither these impose fixed distances.
The frequency is the most evident information that arrives of the atomic world.  The quantum mechanics has been built from this. The electromagnetic frequency always united with h, it should be considered the true energy unit.
Frequency x h = Energy (h = Planck constant = 6,625.10—27 erg/sec).
Frequency can also be a period unit, or a cycle unit, a symmetry unit, a unit of time and unit h energy.
Frequency of the electromagnetic radiation is not affected by the means of diffusion.
A wave is a cycle that walks while it is completed. An  extended energy.

Frequency always comes referred from a contour. We can find it in a musical instrument, an atom or a distance of 3000000 km travelled by the speed light at one second.
The most known natural frequencies in the atomic physics are the series  developed 1/n2.
A table shows versions of an atomic space contour in the first column, developed in its line according to n2.
 Figure 10

 

(1)R=109.677

27.419

12.186

6.854

4,387

3,046

2,238

R/n2 =atom H

(2) 1/12

1/22

1/32

1/42

1/52

1/62

1/72

Energy 1/n2

(3) 1

1/ 4

1/9

1/16

1/25

1/36

1/49

=1/Couples of electrons

(4) 1/2

1/ 8

1/18

1/32

1/50

1/72

1/98

=1/Electrons= 1/2n2

(1) R = Rydberg  Constant = 109 677,6 cm-1 . It is a measure of frequency, for a cm for an atom (hydrogen).
To the atoms a proportion of 1/n2 successive frequency corresponds. Making equivalent R to the 1 obtains R/n2.
(2) Frequencies' characteristic of a contour according to 1/n2, where n is a succession of whole numbers.
(3)The division in units coincides with the distribution of pairs, foreseen for the  "n" structures, without the separation for “s”.
(4) The division for 1/2n2 coincides with the electrons distribution  in the same structure.

If we check these data, its mathematical demonstration should correspond to physical causes.
Its distribution of frequencies can serve applied
a. to a symmetrical distribution of waves in any box of resonance,
b. at distances projected with levels or
c. to electron distribution.
The decisive aspect consists on discovering its relationship with each one of these concepts.

Why the academic physics, only the sample associated to the projection of distances?
The reader has the enigma that will have to judge, after checking the data that we contribute and other sources can accumulate. The academic interpretation presents a numberless data and evidences, taken from diverse experimental positions. Everything is measured with great accuracy. Not discuss the results. What happens is that alone projection systems are measured. That has a serious inconvenience to know as it happens.

It is necessary to enter inside the atom in the origin of the data without altering them. Atom is grain of  minimum matter. The apparatus cannot be material. All intent of seeing it through external means consists in a bombing and to break it. It determines an enormous alteration with unpredictable data.

 According to the principle of uncertainty of Heisenberg, it is physical and theoretically unpredictable the position of an electron, in a certain instant. It is only obtained the square of a  wave function of Schrödinger as mark of localization probability. Perhaps be one of the more criticized concepts. The same Einstein invested years trying to demonstrate its absurdity.  It has been shown as an unshakable concept. In the face of the physical and mathematical inability of obtaining unquestionable demonstrations have been given up to find some determinism cause.

The union of different interpretations incurs contradiction by the loss of the knowledge cause effect. From this interpretation is not a direct explanation key for the simple symmetries, the box resonances, or the order of Periodic System. The symmetry from the holes of Young doesn't have explanation. On the other hand it produces the concept of the existence of alive cats and died at the same time. The chaos and the uncertainty are present as base constituent of the physics.

What would it happen if the frequency originates from a symmetrical distribution?
This requires a new association of ideas.
With a symmetrical system we would have a system with determinism for structure and it stops particles.
With a gravitational system we would have a system with determinism for each particle.

Let us enlarge the same concepts.
If we divide a contour among a series of 1/2, 1/8, 1/18, 1/32... 1/50, 1/72, 1/98,  etc., you cannot seek them to be more or less close among these. These are in superimposed own distributions.  Each one of the different level energy occupies the same space in a different way. Then the frequencies and their wave longitudes don't need to refer at a distance among levels. These identify  the number and measure that corresponds alone to the energy of each level, inside the total. What we have to change, like part of the structure, is separate and symmetrical packages of certain energy frequency.

If we observe the table, we will see that the number of fragmentation give the electronic capacity. For all the levels, we are dividing the same contour. We can imagine a tart of energy 109.677 units.  Each level fragments the energy of the tart in a way: 1/2, 1/8, 1/18.1/32... 1/50, 1/72, 1/98...
Where  little quantity of fractions, a lot of quantity of energy.   A lot of quantity of fractions, little quantity of energy.
But it is not an arbitrary division, the tart imposes also the possible partitions and force a structure of possible division, where energy for the division number is a constant figure.

It doesn't seem that the equivalence is fair in the practice.  The 1/4 and 1/98  tart energy becomes equivalent.  We can think that high fractions, next value energy to zero, same demand to the present allotment.
Where are the necessary limits to the symmetries of the closed box?  Here limits decide them the physical content of  the rule n, and others.

Let us use the inverse reasoning.
Now the frequency won't be an energy unit. It will be a unit of time.
If energy is equivalent to frequency the biggest quantity in energy is the bigger number of frequencies second.  One self contour it passes to be divided by this number. Let us check: the biggest energy has become periods of the shortest spaces and its smaller waves become particles.  Then we obtain its equivalence with a number, where the maximum energy occupies the tiniest spaces. There is practically also a limit.
With them we have the opportunity to transform the frequencies into orbits, periods, etc. These should also become speed and equivalent areas, maintaining different symmetries by time. Physicist can frequency materializes and includes Coulomb. Coulomb represents a gravitational system.

Why that gravity doesn't need to recognize electromagnetic symmetries neither to be linked to fixed distances?
Also, it should correspond to the distribution of their mass in the symmetrical systems.
 But, we can  only imagine the hypothesis. The frequencies foreseen are only recognized if they are emitted. That is to say, we need to open the atoms, with what we break the foreseen interior symmetries. And we have access alone  to the projected frequencies.

On one hand the graveness and the electromagnetic symmetry are independently two proven systems that they have demonstrated its existence with determinism. It is even a system of simple symmetries the one that gives sense to the periodic system. And it is the ideal structure to all the atoms to be recognized, to combine and to form molecules composing symmetries.

The quantum physicists and the astrophysicists insist relating, lately, the electromagnetic equivalences with the gravitational equivalences.It doesn't seem possible to associate a field of gravitational equivalences free of distances directly, to a field of electromagnetic equivalences. It would be only possible if their mass has the electromagnetic frequencies, associated to the place of its distance.

In fact three systems that seem independent and irreconcilable exist.
The solution of the conflict consists finding the relationship that allows the existence of the three systems.
The Solar System is a gravitational system and deterministic.  If demonstrates you that it is also an electromagnetic system with structure for 2n2 symmetrical and in projection, a decisive test would be?
This test can be in ...
 

Starting from this,  new considerations for the same.
Inside the open boxes'  become lost a frontier of levels, with asymmetric distributions, the excitements, the transitions, the emissions, etc.
Inside the closed boxes, the symmetries by time are cycles about itself and their force multiplies. In this case, the solidity of the matter, we owe it to closed boxes. The internal levels of the atoms are complete and closed symmetries that don't emit. These are called "armour" by their difficulty to break.

However not accepting symmetry for time is between absurdities of principle of uncertainty or projection system.
It would be possible to demonstrate that the succession of projected asymmetries is symmetries for time, carrying out. With this, the concept of the probability must substitute for a new interpretation that would lead her to the determinism. The wave function becomes a symmetry by time representation , as frame-of probability that appears for a multitude of simultaneous electrons. In our case it is not already  without cause the probability. The particle will never be able to be simultaneously at the same time in several places.  Alone in a part of their cycle. The alive or dead cat disappears. And this interpretation is the one that proven an electron after electron, so simply, in the holes of Young. We will extend on this.

This way, asymmetries usually emit for differences between fundamental levels and excited levels. An asymmetry never travels alone, it always contains the symmetry lack. This way, the electron or the photon emitted never travel alone. Its were never complete neither independent and these should be projected as parts of a symmetry. These alone need the opportunity to demonstrate it and that is what we see in the holes of Young. These interfere with their own symmetry.
In this case, we would return to casuistry in the physics.

...... in construction

It would be very convenient to discover objections.

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