(Previous: http://perso.wanadoo.es/30127/2604onthetrue.htm)
Summary
of work published in this page, during the years of 1999 at the 2006.
(Please
forgive my faulty English)
Solar System 1/137
Physicists
ought to put a special sign in their offices to remind
themselves of how much they don't know.
The
message on the sign would be very simple: number 137.
Richard
Feynman. Nobel 1965
Wolfang Pauli,
one of the big founders of the quantum mechanics,
dedicated great part of his life to the meaning of 137. He was a
perfectionist.
His main question why the constant fine structure,
the
fundamental constant has a value of 1/137.
When his last assistant, Charles Enz,
visited him at the Rotkreuz
hospital in
According to the wellknown anecdote, when
the Nobel Pauli went to heaven, was
granted an
audience with God.
‘Pauli,
you’re allowed one question What
do you want to know?
He
immediately asked about question that preoccupied in vain throughout
his life
‘Why is the fine structure equal to 1/137?
Science is hiding its greater problem to us.
Only the
mental honesty of Einstein never showed fear the ridiculous situation
in his
controversies, facing its companions.
He dared to
confess it to man old friend M. Besso, at
the end of
his lives.
The letter,
known well by those who is interested, says:
"All these fifty years of conscious
brooding have brought me no nearer to the answer to the question, 'What
are
light quanta?'.....
I consider it quite possible that physics
cannot be based on the field concept, i.e., on continuous structures.
In that case, nothing remains of my entire
castle in the air, gravitation theory included, of the rest of modern
physics."
You will have to judge.
The geometric dispositions are in the most
basic genesis. We see it in the mineral crystallization, the molecular
constructions or the rectangular axes of some delineation that later
will
become complex.
If a tree is the reproduction of a
threedimensional complex symmetry, generally, in each of its leaves
from a
central nerve is reproduced a simple twodimensional symmetry. With it,
the
tree produces some cult to its origin in its symmetrical outbreaks.
Meanwhile:
Chladni, saw as the
sand was resting in node lines that produce from the symmetrical known
model as
Chladni's figures. In them, twodimensional
waves go
and return, without prior direction, supporting permanent same nodes.
The
matter (salt, sand) is in the nodes of the vibrations when not being
impelled.
About the Kundt tube cavity of resonance,
also the
sawdust on nodes of permanent waves is it accumulated. We know that a
string of
immobile guitar has the only dimension between the two unique node
limits. With
the vibration of the string, we will obtain a number of stable nodes in
harmonic dimensions.
Pitágoras thrught about some music
of the spheres
relating some proportions of whole numbers to the musical harmonic. Kepler, in 1619,
suggested a connection of the geometry of the planetary orbits and the
harmonic
ones.
We know that the diverse waves of radio
broadcasting stations increase their authorities when having been
reflected in
an invisible limit of the ionosphere.
If also we admitted an invisible limit for
the extension of the Solar System we could establish resonance nodes.
If their
extension can consist on 7,2929 units we
might obtain
a fine structure for the Solar System. It should be described by
wavelength and
width. We would have the nodes of an extension. We need the structure
of their
amplitude.
Meanwhile:
If you have doubts, please, read calmly,
verify every step sufficiently. If you want brevity or simplicity,
abandon the
numbers, to check them later.
It will be necessary to be careful when our
minds give relevance to concepts that are not independent. Example, if
we refer
to quantum mechanics, Planck's constant h has the dimensions of an
action. It
consisted of energy and time. Separately, they are not seen as
geometric
concepts.
As you this can divide by p, a purely
geometric concept?
Nevertheless, Dirac
needs to divide Planck's constant by the geometric value of 2p to
obtain later
the value of fine structure (1/137...).
Taking
the numbers of its respective references the thin structure is = h/mrc =
1,054571619
e^{34} / 9,10938215 e^{31 }x 0,52917720859 e^{10
}x
299792458 = 0,007297352469 ... , where
h =
6,62606896 e^{34} J s , Planck constant.
h = h/2p = hbar = 1,054571619 e^{34}.
m =
9,109382 e^{31 kg, electron
mass.}
r =
0,529177208 e^{10 m, Bohr radius.}
c =
The
experimental value recommended should for major precision be
1./137 ... =
0,0072973530763...
For
pithy number it is indicated like 7,297352533 e^{3}.
Great part of the fundamental laws of the physics, we know
it is
recounted to the square, to the cube or to the number p. We
verify that time, mass, force, or speed appear in correspondence
with the most elementary geometric figures. This indicates to what
extent basic
geometry is in foundation
and attitude of the universe. Is not new. Already the former Greeks
were
assuring it.
If the geometric evolution is accompanying of the physical
evolution she should have travelled from the point to the fourth
dimension.
This information might be explored, if we admit that the evolution
follows a
hierarchy of values, travelling from the most elementary to the most
complex.
Let us make a small discovery.
In geometry we can isolate circumferences, squares, cubes, etc.
We understand, for simplicity, the geometry from a stable space
without
time or speed and mass, etc.
But let's observe that in physics a circumference does not
exist,
without a context of spacetime. Or speed applied to the dimension
where I know
they are measuring. If we are in a spatial expansion, in the case
of laws
of Kepler,
Also they verify average orbital distances including the concept
of
circumference related with squares and cubes.
I hope that up to here I am understood.
But, Pauli's exclusion principle
discovers a
need of own dimensions to occupy the electronic successive
levels.
It is demanding square of own orbits. Successive limits for the squares
of
circumference. Should be detected in a clear relationship.
Then the minimal possible exclusive area for serial
circumferences is
the understood one between its external minimum square and its internal
maximum
square. Also so called inscribed and circumscribed squares.
We knew that the circle should have an own area, but we did not
know
that the circumference should impose an own area. Nobody has noticed
its
absence.
But, if the circumference of geometry passed to be physics
space,
then, this paper is decisive to understand physical relations.
This way,
the area of any circumference is associated with its inscribed and
circumscribed square, separated values' root of two (1,4142...). Its
succession
is equivalent to very well elementary known sequences.
In the packaging by crystallization, the 0.41421...,
radius is
known very well in the ion contacts.
They are in rectangular configurations (90 degrees),
square and tetraedron. In most of ions,
the coordination is
tetrahedral.
Thus, for root two (1,4142...), are decimal of contact
0,41421...
We know that the relation between decimal of contact and
square
root is
0,4142.../ 1,4142...= 0,29289...,
Also we know that compound unit of 0,7071 and
0,29289 ... =
1 = the elemental value Root Mean Square (RMS) and 0,29289 ...
Really 0,29289 ... is the own dimension of the half
of a
twodimensional area in expansion, according to an interior area square
0,7071 x 0,7071
= 0,5, and 0,29289 x 1,7071255420123595889241694834238 = 0.5
completing
the exterior square.
This way, we obtain a geometric conception of the fine
structure
that is deduced being 0,29289 ... a part of a contact unit.
Then, 7,29289 ..., would be the structure of seven units,
composed
of the elemental value RMS and 0,29289 ...
Nevertheless, we have an experimental fine
structure,
7,2973530763 ..., where the decimals of contact are 0,2973530763
...
The difference between both is
7,2973530763 7,2928932188 = 0,0044598575
Other relations later they exposed show the relation
between
halves and immediate doubles. So that
0,002973530763 + 0,002973530763/2 = 0,0044602961445 (notice
that
also here it is needed and e3 )
This time, the difference between both is
0,0044602961445  0,0044598575 = 0,0000004386445
Reducing the last decimal ones of the fine structure
recommended,
it is the exact difference obtained.
0,00297323834 + 0,00297323834/2 = 0,00445985751
But 7,297352533e3, it might act in the limits as if it
was a
compound fractal.
In this way, some total accuracy is not required if the
decimal of
contact adds smaller fractals. (In figure 4, 0,29289 ... of
doubles'
dimensions accompany the 0,29289 ... dimension of the last fractal
unit)
Here it will
be useful to adopt an orientation on the geometric order.
The symmetry according to this is the base of the
geometric
fundamental simplicity. The symmetry must accompany the geometric
evolution,
where the order establishes a hierarchy. According to the same one, the
point
will be the dimension zero that also could be called dimension one,
being the
original dimension. The fundamental line must be understood like a
symmetrical
extension of a point in a single dimension. A new dimension evolution,
it is
born with expansion, by means of a symmetrical repetition of the
previous one.
With the dimension of the square there appear the qualities of the
diagonal,
the circle and the inscribed circumference.
With them are the root of 2 and the number p. With the
symmetrical
superposition of squares the cube appears. Nevertheless, the elevation
to more
dimensions stays as geometric overlappings
of these
effects.
With this it seemed that the geometric fundamental
evolution was
concluding.
However, the fine structure appears as a new fractal jump
of the
geometry.
Then, fine structure expresses the end of the geometric
evolution.
Solar System 1/137?
The simplest way of suggesting a response would begin with
a
linear dimension. Let's imagine seven points on a straight line to
equal
distances.
o o o
o o o o
obeying a central symmetry.
o o
o O o
o o
Being proceeding from an area in expansion, we will assign
to them
a sequence of double distances, imitating known waves of octaves.
Equivalent to
isolating from field levels to limit to the infinite. We will see
later.
Displacing the previous distribution toward two semifields in opposed phases, we will win a new
perpendicular dimension and a place for the effective value of their
distances
(RMS).
 o o o
 O 
o o o

Now, we divide the total ones of perpendicular distances,
by the
number of the fine structure.
It is to say, 1/137...= 0,007297352533... = fine
structure.
The representation of these decimals is uncomfortable.
Supposing
that has quality of fractal numbers (we will see later), the
representation might be replaced with 1/137...x 1000 = 7,297....
+ other
supposed decimals are.
With this already we will have a few rules applicable to
the
distances as Solar System planets. There they are the exclusion levels
of Pauli. Even someone will find
Jupiter as a possible
rest of a binary star.
***
We are in year 20007. The fundamental physics follows to a
large
extent confused for our understanding.
The development of the technology and the experimental
discoveries
they help to the confused theories to put the feet on the soil luckily
for
the understanding.
To explain that 1/137 is it in physics, numerous and
important
scientists have occupied a great time. Everything written on 137 can be
interminable, mixed with some famous anecdotes. How many times was he
called
the mysterious number, including those of Pauli
and Feymann?
Its importance was discovered noticing the repeated times
appeared
as measure of the physical phenomena.
Arnold Sommerfeld discovered
it first,
measuring the distances of the lines of the electromagnetic spectrum.
An idea of its importance is acquired, when comparing some
basic
measures of the atom numbers 1: the Hydrogen.
For example:
1/137 is the ratio of velocity electron and light
velocity.
The measure the Bohr radius is 137 larger times that the
electron
of
The position of the
This way,
Bohr radius, aprox. 5,29
× 1011
meters 0,0000000000529...
Electron
Electron classical radius, aprox.
2,817
× 1015 meters 0,00000000000000282...
Also it forms the quantum of Hall.
The quantum of Hall, it obtains the biggest accuracy of
fine
structure.
Only appears, observed in systems of two dimensions.
In the butterfly of the Hofstadter, his physics represents
a
fractal condition with structure repeated in its diverse scales.
It has different properties for perpendicular and diagonal
axes.
Probably the fractal origin comes from the simple
equivalence
relations, as multiplying oneself the square numbers, to the cube
or
another exponent.
Also 137 is implied in p number. In the perimeter of the
circles or circumferences that defines the waves.
This is deduced by the relation
1/137 / 2p
7,29927e3 / 6,2831853 = 0,00116... ,
Simpler
7,29927/ 6,28318 =1,16... or
7,29927/ 1,16... = 6,2831853 = 2p
This number appears in:
Electron magnetic moment in Bohr magnetons
=1,0011596521931 ± 1,00116e11 = 1,00116...
Muon magnetic moment
anomaly = 0,00116...
Quantized Hall
resistance =
25812,805612
± 0,00116...
Fermi coupling
constant
=1,166 39e5..., and others
Also 1/137 is the measure of the electromagnetic force, equivalent to
the
Coulomb force constant in other units.
The strong nuclear force is approximately 137 times the
electromagnetic force.
Generally 1/137 don't depend on the mass of the electron
but of
the charge. Rather, 137 would indicate the structure of the force of
the
created field. Is it a force of the structure? Is it the structure of
the
force? More simply, natural force has a structure?
***
See the importance now of the decimal ones.
If fine
structure we have verified is capable of appearing dividing repeatedly
by the
same number, we are in a constant of fractal structure.
(The simple definition of a fractal is a geometric structure with basic
number
repeated in different scales)
If it is
necessary to move 137 as a relation among different scales we will meet
the
fractions of
1/137 = 0,007,29927007299270... (With major precision must be
0,0072973530763...)
The representation of these fractions is uncomfortable. It
is a
reason to be mentioned like 1/137.
But a fractal
is a number that has geometry. In this case it is not possible to
represent as
one linear number.
Nevertheless, being a number without dimensions, we can
change its
proportion to emphasize some of its uses as direct units.
For example, we can replace the inconvenient part doing
1/137= 7,29927007299270e
1/137x1000= 7,29927
where 7,29927x137= 999,99999. We will suppose 1000.
Of this way, we can make a test.
We visibly make the structure of a square of
We will obtain 7,29927 units of a magnitude of
squared patterns of
This symmetrical condition forces us to establish that the
distribution
of the number is born from the same centre of the created units, going
infinite decimals to the limits. That is to say, these units cannot
begin an
order from 0 up to 0,999 and 1. There will be a space for the whole
part of the
number and another one for the decimal part. This allows detection of
role of
entire number and decimals.
The contact between different units they have a very important
role
situated between decimals of independent units.
We can also separate the different role of their two
perpendicular
dimensions dividing in 7,29927 columns with areas of 137x1000 mm,
approx.
Then, every column can have a double representation, of a part a
uniform
area, of another part, be a succession for representation of other
distances.
Though, the fractal unit's components must have the same
distribution of
the whole in perpendicular direction. (The figures 4, 5, and 6,
distinguish this with the decimal situation of 0,2929)
Applying to the successive columns of our figure the regular multiples
of real
distances, we can place the planets of the Solar System.
The bipolar displacement presents as energy from the original
central
units on the RMS of the effective section.
The bipolarity is basic to the physics of the mechanics of waves.
Can be verified with the oscillators, the phases, the
transistors, the
functions of the proteins and the root of nervous nets, etc. Masked one
is in
the parity of symmetrical parts in atoms, crystals, plants and animals:
forming
eyes, arms, sexes; the trend to the bipolarity of parties, of criteria,
of
clashes, games, etc.
Although there is not logic for the step simultaneous of a
single
electron by a double fissure, a bipolar electron travelling with its
hollow
will share the step easily that appears in the symmetry of the screen.
Check if you understand the following:
It is said that the nature is symmetrical. In the origin of the
symmetry
the balance is.
It seems, that nothing allows the existence of the universe,
providing
that it is zero.
That is to say, if the universe matter creates it will to create
simultaneously equals quantity of antimatter.
With Einstein was the symmetry like the principle nature of the
physical
laws.
If there exists a need of basic geometry in the order of the
universe,
the first widespread unit of a point will have to be symmetrical.
In a first unit, two reflected halves should have to be similar
to one.
But, in an infinite universe, double or half do not have
direction nor
preferred unit.
So that the connected universe can expand or reduced, separation
of 1 to
2 halves assumes a unit of double or half.
Probably, the wave is the most fundamental form of the nature
and the
origin of a quantum.
The mechanics of the fine structure need the knowledge of the
mechanics
of the waves.
They are everywhere, travelling in the space or vibrating on
matter with
an extensive variety. They are an own and universal language of the
energy. Louis deBroglie demonstrated
that the
whole matter consists of waves. Erwin Schrödinger did the
description of the
atom with waves. The man identifies with them when the mechanics
of the
waves do with the music a pleasure for the ear.
But the waves are, especially, the permanent presence repeated
of a
natural unit of basic geometry.
Example: If a circumference is a rigid image, the waves will
form two
half circumferences that walk displeasing a half later of another half,
with
steps known in frequencies by second. The travelling version of the
energy is
an oscillation produced by an alternation of waves.
The difference between rolling and walking is decisive, is the
first
form of discontinuity or quantum that the nature imposes.
The arc fundamental called, forms from length of a vibrant
string of
between two limits. A single arch is half of the longitude of a
complete
wave. This way, the values separated from the wave express as multiple
integer
or halfinteger
This natural condition to transform fundamental limits into
powers of
halves and doubles demonstrates in harmonic resonances; levels of
octaves in
sonorous waves; binary systems; levels of supersymmetry;
Boolean Algebra forms; levels of computer memory; Friedel's
symmetry, powers of rapid simplification of calculations. (Fast Fourier
Transform) FFT; maps of depth in astronomy; degrees of hearing; decay
of the
radiation. Sequences of quantity of light, of time or openings
diaphragms, they
are optical resources. If we find a factor of 2, also root of 2
applicable
series. Like 1, 2, 4, 8 ..., 1, 1.4, 2, 2.8, 4, 5.6, 8 ...
In general, the old sages trusted more in the geometry
than in the
numbers, whereas the numerical interpretation had more difficulties.
For them
the nature didn't consult numbers.
Phitagoras, only was giving value
to the
geometry of entire numbers, denying value to the irrational numbers.
Hippasus defends the value root of
2 on value
only of the whole numbers.. Hippasus's
murder
attributed to Phitagoras.
However the transport of the energy needs the root of two, the
geometry
of a wave, the value that Hippasus
defended.
Energy, which they charge in the receipts for a voltage, is the
product
of oscillation reached for a maximum and a minimum following the edge
of an
oscillation, where the constant moved quantity, is the real engine of
whole
movement.
The constant average of energy of an oscillation, is called to
effective
value or RMS.
The same one that the geometry represents inserted between
double
factors.
The geometric succession of these levels does not require
numbers
necessarily. There is enough with the addition of successive geometry
associated with the series of the factor 2, or root of 2.
We have a demonstration in figure 1.
Trace the diagonal square, from the vertex of their right base
to the
opposed angle. Use this diagonal for left side of a new square. Use the
vertical diagonal for left side of a new square. The same repeat
several times
with the formed square. Imagine an infinite succession.
If a physical system uses this series we will never know neither
what
side is the whole, nor which is the irrational one.
For a system of stable structure of same sequence, is enough a
rule and
a compass that they plan a sequence squares and circles, successively
inscribed
and circumscribed.
It is exposed in the introduction figure. It will also obtain
successive
lines of a value root 2. We will never know which is whole or
irrational, until
we apply an own reference.
Now we treat to show as the laws of
We all will remember its laws: “The square of the period is
proportional to the cube of the distance...” “The force of
gravitational attraction is inversely proportional to the square of the
distance...”
To have to come to cubes, squares or p to
formulate
its laws, us remembering the fundamental need to rely on the simplest
geometry.
It is to easy check. These laws contain a few relations'
practical
equivalence among the distances, time and the velocity, to the margin
of its
masses.
Examples:
If we measure the mean distance of our planets for millions of
kilometres, the orbital mean velocity in km/sec and the periods in
years, then
(Orbital period)^{2} / (Mean distance)^{3}
= 2.98…
e^{7}, constant approx.
Mean distance * Mean velocity^{2}= 132747 ... constant
approx.
We can verify it. The general information is approximate.
0,2408467
0,61519726 1,0000174
1,8808476
11,862615 29,447498 84,016846
164,79132 247,92065
=Orbital
period in years
0,058007
0,37846767 1,0000348
3,53758769
140,72163
867,155
7058,83
27156,179
61464,649 = (Orbital period)^{2}
57,9
108,21
149,6
227,936
778,412
1426,73
2867
4498
5906
=
Mean distance, million km
194104,54
1267074,
3348072
11842373
471659479 29041923 2,3565e^{10}
9,1003e^{10}
2,06006e^{11} = (Mean
distance, million km)^{3}
47,89
35,03
29,79
24,13
13,06
9,64
6,8
5,48
4,74
=
Mean orbital velocity, km/sec
2293,4
1227
887,4
582,26
170,6
92,9
46,37
30,03
21,71 =
(Mean
orbital velocity, km/sec)^{2}
Deducing: If to every average distance of a planet corresponds a
velocity of stable orbit, we have a natural scale physics velocities of
the
surface of the Sun at the edge of the system.
Also we know the velocity arrival at the surface of the sun Is
the same,
that will be necessary to shoot from the Sun to reach the limit of the
system.
Also one same speed will coincide with equal distances in
opposite
directions and with the perpendicular velocity that needs the
centrifugal force
to support a stable object.
The need of a distance for a stable velocity, needs
hypervelocity to
reach the exit from the system.
A simple reading of the laws of Kepler
and
Newton: If its relationships did not have limits, there would not be a
velocity
for to exit of the system
Since in Kepler the whole system
obeys gravity
imposed by the central mass, Newton had to warn that a change of
central mass
would not change the laws but would change the practical constant
proportion.
The most extraordinary thing it is that changing his stable
velocities
and that the velocity to go out of the system coincides with the
geometric
value of root 2 of its stable velocities.
They are the velocity changes that use the satellites to move.
To say, according to the relations of the speed and distance: A
planet
or an object, it needs to take the velocity corresponding to the half
of its
distance to come to the limit of the force of the system.
Then, any half of distance of a planet its tied velocity to the
limit,
to similarity of any half of hyperfocal
distance to the
limit. These limits of affectation might consider them to be the own
infinite.
The same norm links to the half, of the half, even to the most
fundamental
successive frequencies.
Why do we and the photographic lenses see the big mountains
diminished to
the minimum when they move away? Is it that they have lost its own
size? Is a
reality made for the imagination?
We know that the series of lines of spectra are transitions
among
different levels that tend to the infinite. But their lines are
accumulated,
forming limits of own infinity.
The half of the root of 2 (1,414.../2 = 0,7070...) it is also
the root
two inverse (1/1,414...= 0,7070...) occupies squared average, the
known
RMS and the called effective dimension. This allows him to be located
in a
square dimension.
***
Extract of work published in this page, during the years of 1999 at
the
2006.
To represent a structure in constant expansion, as a circular
area, we
have a geometric natural expression. Without numbers mediating.
They are the squares of the inscribed and circumscribed circles
successively. See in the figure of entry a succession of circles and
inscribed
squares.
This succession implies a form especially simple of quantified
circular
development, beside being able to represent the numerous sequences of
the
factor of two or the square root of two. These include the sequences of
binary
calculation. The sequences of sound octaves or the insinuation double
distance
of purified Bode's law.
The relations of the figure clearly show that root of two and
RMS are
the intermediate measurements to double units.
The Ö2
succession is constituted in series 1  1,41  2  2,83
 4  5,66
 8  11,31  16, etc.
Fig. 1.
Representation options.
A capacity for all planets requires 7.2929 doubled levels. = 8(Ö2/2).
The maximum symmetry is obtained with square box representation. Fig.
2.
Fig.
2. Application of
box symmetry.
If you notice that the box
of the Solar System does not begin to tell from zero, I must remember
to him
that all the musicians know that the resonances come from a fundamental
frequency. We will have to find her. Which is?
Observe that the symmetry refers to structure of the field, whereas the
busy
nodes refer order with exclusive numbers. (Similar at the Pauli principle).
A field of logarithmic structure, without limits, is double units
or
successive halves of infinite reflections.
Here, we only emphasize the dimension and the reflections, of
affectation of
the Solar System.
Here be in mind that the effective value (RMS) has empirically the
magnitude of
the power.
This corresponds to the maximum height, x0.707, on a pure sinusoid.
Also it is equal to the value of the normal wave area.
Therefore, it contains the series of a factor of 1,414.
If a double series existed on the horizontal axis, the obtained
symmetry finds
the centre of an impulse supposition.
The masses, they are displaced towards nodes of antagonistic fields.
Then, more or less effective value and the zero of abscissas happen to
open, in
axes of effective section, with an amplitude of 1/7,2929.
Fig.
3. Symmetrical perpendicular discovery of 1/ 7,2929^{2} units.
Bigger accuracy would divide this figure in smaller symmetrical
parts. For example
1/7,2929, 1/7,2929^{2}
and 1/7,2929^{3}. Fig. 4, 5, 6.
Fig. 4.
Expression of the three dimensions.
______
(Inner semifield / Outer semifield)
Fig. 5
and 6 Amplification of minor units of fractal components.
The
consequence of this is our spherical space transformation in a box of
square
resonance. With it are respective reflections taken as reference. Other
subtracted reflections, adding, would allow to observe characteristics
of some
hologram reflecting two faces of the figure from the
reproductions the
same one reduced from units on 1/7,2929^{3}.
Repeating the same fractional figure, for
their
construction of smaller dimensions acquires also the characteristics of
fractal
structure.
At the same time it can use their levels as
reflection families on Bragg planes, to discover the abscissas
corresponding to
the unfoldings. See fig. 15 (Detailed in
publication
of 1999).
In a first environment, some ideal planets would be located on
the
fundamental nodes of abscissas axis keeping a double distance.
Fig.7. It
seems of agreement with a pure TitiusBode
law.
Fig.7. Hypothetical planets according to
purified Bode's law.
Fig.8.
Foreseen simple displacement.
__
Fig.9. Complementary displacement.
From the previous expansion, takes place a maximum estrangement inside
the
successive order. Fig. 8, 9, 14. Although surprisingly then an
exclusive
succession order is imposed upon levels and abscissas. The busy levels
 not
the one expanded,  accompany displacements toward abscissas in inverse
succession.
If we divide the order of each level, for order
adopted by
their stable node, we will obtain a simple succession of numerators and
denominators.
1/5, 2/4, 3/3, X, 5/2, 6/1, 7/0
As in the notes of the octaves, the origin pulse that gives measure of
box
limits' notes, it does not appear as a stable node. Jupiter is in this
case.
However, these simple displacements can also break
in turn
for perpendicular displacements. The affected locations are divided in
two
parts, going away toward the most opposed ends in new antagonistic
areas. This
rule affects Venus, the Earth, Neptune and Pluto. The two extracted
planets,
Venus and Pluto, they coincide in investing their rotations. Fig.
10.
Fig. 10. Double displacement.
Another coordinatesperpendicular displacement that crosses the
vertical
reflections opens up from the centre of abscissas. It carries to
Earth
and
Its rules divide two general tendencies:
Those, that builds the symmetrical structure
of the
three dimensions and those, that owe give the place that corresponds to
each
location.
Within the frame 4 planets are separate from
each
half by central axis.
Also, the ordinate axis coincides with the
qualitative separation between the planets called dense and diffused.
As not to
know a phenomenon that produces the heavy atoms, some compression
suggests a
procedure inside the stars.
This symmetry only takes into account the
interior of
the coordinate field.
Here an exclusive appears in the limit.
However, the
total symmetry would involve Jupiter and one in the opposed half.
A symmetric supposition would find in the
opposed
limit of the mark a planet that doesn't exist. Does
it lack a planet?
Fig. 11 Coincidence tests.
Fig.12 Inner Semifield
Fig. 13,
Outer Semifield
SUMMARIZE
FOR PRACTICES OF CHECKING.
If we do a
practical scheme of the exposed thing, we will move to centimetres the
height
of
7,2929 *2 = 14,5858.
To extend its detail we will turn this number into
millimetres =
This way, we will obtain the diverse heights.




In the order
of abscissas, the
The distance of planets will have to obtain itself from
the own
scale of its level.
To come to them of a central point, the value will move
towards
halves or doubles.
The centre of the scale axis is of 389, 1 million
kilometres,
represented in the figure of 389,1 to 778,3.
This quantity will have to be distributed in our
millimetres.
389,15/145,858 =
turned in the unit to transform into every level.
Starting from it, we will obtain the height of the
abscissas that
corresponds to each planet in their respective levels.
By means of
A column of the base of the axis of 389, 1 million kilometres.
A column of millimetres in height added multiplying the column of the
value of
units.
This result moves to the value factor 2, of the own levels of the
planet.
We obtain a property with exclusion for levels and other one for order
heights
correspond to theoretical position of the planet.
The parentheses have averages' approximation.
389,15 x 2 =
739,6024, JUPITER
389,15+ 131,354 x 2,668= 739,6024, x 8 = 5916,81
PLUTO
(5913,5) (99,9%)
389,15+ 123,126 x 2,668= 717,6501, x 4 = 2870,6
URANUS
(2870) (99,9%)
389,15+ 121,755 x 2,668= 713,9923, x 2 = 1427,98
SATURN (1430
) (99,8%)
389,15+ 78,4137 x 2,668= 598,3577, x 1/4 = 149,589 EARTH (149,6)
(99,9%)
389,15+ 64,7018 x 2,668= 561,7744, x 8 =
4494,19
NEPTUNE (4496,6) (99,9%)
389,15+ 28,2160 x 2,668= 464,4302, x 1/8 = 58,0538 MERCURY (57,9)
(99,7%)
389,15+ 25,4736 x 2,668= 457,1135, x 1/2 = 228,557 MARS (227,9)
(99,7%)
389,15+ 15,8752 x 2,668= 431,5050, x 1/4 = 107,876 VENUS (108,2)
(99,7%)
Fine structure
Fig. 14 Location channels
Fig. 15
Fine structure differences
Let us
consider that we have described a general expansion of the Solar
System.
Now we can summarize and to highlight the virtues of the
proposed
laws if folding the expansions on the axes of vertical symmetry and
later on
the axis of both fields.
The result sees in the figure 14.
In the tables provided by the structure, one sees a
certain
uniform difference in the average distance considered. While the
approximation
is of 99.9% in the outer semifield, in the
inner
group, it is 99.7%. In this way, while the structure in the outer group
has
sufficient capacity to locate itself in the area, the same does not
happen to
the second group which must be located in what its aperture permits. It
is
interesting that this difference must coincide with the foreseen change
phase.
***
The man is the last sample of the evolution
of the nature. The last dimension of the animal brain endows it with
the use of
reason, so called common sense. Could we suppose that the nature has
been made
for the man?
It will be able to appear with the knowledge
of the biology in neurology that the common sense is deeply supported
by the
physical laws.
Nevertheless, Universities, scientists and
technical personnel, separated of the policy, are divided into well
separated
compartments. With this become lost the necessary link, for the
arbitration of
the common sense. If of its knowing to reason we make questions, out of
his own
book of made accounts, they answer the known phrase: “I have my own
work
to make the things that you mention don't be my work.”
(Of my mail) The obtaining of arbitration of
a total objectivity is asphyxiated by the present institutions. With
"divide and conker" of Julius Cesar, the politicians can be
irresponsible beings if they have learned the game of dominating the
others.
This way, we live with the irresponsibility of the politicians and the
disability of the science, the universities, etc. We will be able to
establish
a colony in Mars at the same time as some nuclear warfare destroys the
Earth.
Although it is not considered, before the
appearance of the use of reason in the man, there was already a reason
of to be
of the nature.
The most serious problem that has the man,
which leaders ignore, is probably they do not reach the domains of the
physical
laws. The problem is the being annihilated by broken the limits
borrowed of
freedom given to the human dimension for the physical laws. Biology,
with the
man, also is a physical dominion. The brain is a physical system.
Lamentably,
the mercy does not exist among the physical laws. We do not have to
blame to
the nature. Is the individual, corporate, and national fragmentation.
The cult
is of the own thing. I am more powerful. I possess the truth. The
defence of
the corporate properties with the tolerance of the scientists and world
universities disable giving priority to the common sense.
This work does not try to accompany on the
alarm of the climatic change.
The control to the politicians is much more
serious and important than this work and the climatic change.
If the science does not serve to drive, to
keep then to limit to the man inside the laws of the nature, the
science is of
surplus.
***
SOME
REFERENCES TO THIS WORK.
International
Centre for Theoretical Physics.
Netscape.
Search Results. What is solar system. Web
Sites
reviewed and categorized by a team of editors. 1
of 4.
01/02/2001.
On The Structure of the
Solar System. Contains what has not been said. With
elements for its verification. (First
version of this
work.)
Armed
Forces. Net Military Guide. Science: Physics: Alterntive:
Superluminal Physics. Unified
Theories
11/04/2002
Webpages list ... :
On The Structure of the Solar System. An
alternative theory. (First version of
this work.)
Science
& Research.
Webpages list, ... :
On The Structure of the Solar System. Contains what
has not been said. With elements for its
verification.
(First version of this work.)
These observations are widened and
completed in “The
different interpretation for the atomic structure”.
http://perso.wanadoo.es/30127/Welookforsolutiontoproblem.html
and
http://perso.wanadoo.es/30127/observationsfuture.html
We count on continuing
improving this
work, though I am 82 years and past an embolism.
***
Is accessible and can be printed, free of
charge.
Copyright for the author's recognition.