PiMath.de The magnetic field of the earth  
Impressum Copyright © Klaus Piontzik  
 German Version    
German Version    

Lattice structures of the earth magnetic field


 Magnetisches Dipolfeld der Erde

Illustration 0.1 - The dipole field of the earth
  The magnetic field of the earth is still shown in the today's media as a field which corresponds to the field of a rod magnet or a current loop. However, this dipole model can be looked only as a first approximation. It is not the final figure of the earth magnetic field as it is presented over and over again. This will be seen in the following.

However, according to older information the dipole field includes only about 80% of the intensity of the whole earth field. A newer investigation by Nevanlinna, Pesonen and Blomster which occurred in 1983 came to the conclusion that the dipole character of the earth field amounts to about 90%.

Within the geosciences there is since fairly long time the model of the geo-dynamo, and quite experimental arrangements also exist (e.g., in Karlsruhe) in which is tried to generate the magnetic field of the earth. However, these experiments do not concern the external figure of the earth magnetic field, but investigate merely the internal processes which appear with the origin of the dynamo-effect.
Particularly also here merely one dipole field is generated and it is, on account of the construction, only a simple rotation-symmetrical field. See in addition the publication "It is possible to simulate the magnetic field in the lab?" from R. Goldfinch and U. Müller which occurred in 1999 in the research centre Karlsruhe.
The dipole model, traded as a general consensus, blocks the view of certain structural phenomena of the earth magnetic field. If you look away from the real field-generating elements in the earth inside and concentrates merely upon the magnetic field around the earth, an alternative view, based on oscillations, can be also applied here.
Since 1990 the author pursues own researches above the magnetic field and the figure of the earth. Besides, an oscillation model with lattice structure of the earth magnetic field was developed which is based on an Fourier analysis of the total intensity from the complete magnetic earth field and is hence also quantifiable.

From the radial structure of the magnetic oscillation system can be derived that a (magnetic) oscillation spectrum forms the basis of the bowl construction of the earth, as well as the stratifications of the atmosphere. Geologic bowls and atmospheric layers are embedded in the magnetic oscillation structure.
A consequence of this fact is that atmospheric events, so climate and weather, above the magnetic field are determined by the inside of the earth. This has not been taken into consideration in any climate or weather model up to now !!!

The oscillation model of the magnetic earth field likewise delivers the basic frequencies of the earth. The Schumann-frequency is already included in the spectrum of the earth frequencies and also the frequencies of the sferics (weather frequencies) can be quite exactly derived from the model. A functional connection exists between the Schumann frequency and the earth frequency derived in the model.
From it there results again a whole spectrum of frequencies which one can call
biological frequencies. And with this fact electric smog can be defined new.
All life on this planet is adapted to certain frequencies or frequency areas. If these frequency relations are disturbed in a longer term so this leads to biochemical up to physiological changes which are able to discharge also into illness.
This publication (or the accompanying book) delivers in addition an overview of the research to the electromagnetic compatibility and to the magnet adoption of the last hundred years with 1530 references and about 1900 names.

In the middle of the 70th W.R.Adey and S.M.Bawin made experiments with cerebral tissue. They irradiated the tissue with modulated VHF fields. They found with her investigations a narrow intensity area and frequency area in which the treated cells reacted. Nevertheless, beyond these areas none or only minimum reaction occurred. The experimentally ascertained frequency area is called, in the meantime, Adey window.
Also the ascertained frequencies of the Adey window adapts themselves harmoniously in the oscillation model and it can be shown that this frequencies form a Fibonacci sequence.
This numerical sequence finds her application in the nature, e.g., with spiral growth of plants or also in the population strength of bees and hares. The Fibonacci sequence appears always where the golden section plays a role.

Further still there arise amazing relations, connections and explanations of areas which counted up to now rather than pseudo-scientific or even esoteric like the Hartmann-grid and Curry-grid or also the Benker-cube system. The external earth magnetic field can be shown completely as a sum of so-called global net grids (GNG).
It appears that the Hartmann-grid and the Benker-cube system show, so to speak, two sides of the one and same phenomenon. Practically all so-called global net grids (GNG) can be explained about the oscillation structures of the earth magnetic field. Namely as stationary spatial oscillation systems which are connected with certain frequency.
About the connection of Hartmann grid and Curry grid even the mathematical source points of the earth magnetic field can be determined. And thereby the whole field of the earth can be explained as a sum of two oscillation systems, what leads to an astonishing consequence concerning the Curry net.
A consequence of the model is that grids are measuring-technically detectable if one takes magnetic intensities as a function of frequency into consideration. Caused by the measuring-technical ascertainability, a suitable measuring instrument would make divining rods superfluous, concerning global grids.
Another point by physicists often than esoterically dismissed are planetary oscillation systems.
Possibly at the end of 19th century the geologists W.L Green and A. de Lapparent compared the figure of the earth with a tetrahedron.
A similar comparison did in the sixties of the twentieth century B.L. Litschkow and N.N.Schafranowski with an octahedron. Litschkow published a little later still the model of a dodecahedron and an icosahedron for the earth figure.
In 1974 Nikolai F . Gontscharow, Wjatscheslaw S. Morosow and Walerij A Makarow published in the russian magazine "Chimi-ja i Zisn" (chemistry and life, No. 3, March) the model of a dodecahedron of the earth.
The known botanist, science journalist and writer Christopher Bird published, under the title "Planetary Grid" in May, 1975, in the american magazine "New Age Journal" a summary of the russian works about the crystal structures of the earth. This publication initiated an absolutely new phase in the development of the hypothesis of the crystal planet, and made the idea on one of the central subjects of the New Age.
 Pentagon-Dodekaeder-Struktur der Erde   Hence, conditioned by these geologic models exists since fairly long time, within the geomancy and radiesthesia, the discussion about tetrahedron- or dodecahedronstructures of the earth. Here interests especially the publications of Marco Bischof in the magazine Hagia Chora (www.geomantie.net) on the subject crystal planet, because here a good overview is given to the history and development by polyhedron systems.(In German)
Illustration 0.2 - Dodecahedron    
The author differentiates himself from this discussion for following reasons:
The surface of the earth is a closed surface, so without edges. If one lays on a planetary oscillation system such a surface, purely mathematically looked, however, only such oscillations can be based which are likewise closed in themselves, so building standing waves. It is unimportant whether one looks at oscillations electromagnetical or mechanical (and with thus also geological). The consequence of the fact is that a tetrahedron- or dodecahedronstructure of the planet cannot be the cause (because of the edge lines which own a limited length), but originates as a sum from several basic oscillations. However, this is called also, that at the level of the geometrical or stereometrical structures no solution is. Even the appearance of several oscillation figures is more probably, as well as will be seen.
The consequence from this publication is, in any case, that pure tetrahedron-, octahedrons, dodecahedron and icosahedron models deliver only partial views of the complete oscillation field of the earth, and, hence, cannot be entire. It will be same that all Platonic solids are possible as oscillation figures.
In 1995 Jeane Manning and Nick Begich published for the first time the subject HAARP in a book. The German version appeared in 1996 under the title " Holes in heaven - the confidential ecological war with the ionosphere stoker HAARP ". Since then the discussion does not break off in the general publicity around the controversial project. Especially in circles of so-called conspiracy theorists there circulate, in the meantime, hair-raising rumours, that Haarp explain as a global geophysical weapon or as a machine to consciousness manipulation . With the help of the oscillation model developed in this book, indicates a row of astonishing statements, about functional way and possibilities by Haarp. Besides, will appear what is behind Haarp far less than rumour mill spreads.
Since the appearance of the books "The Bermudas triangle" in 1974/75 and "Without a trace" in 1977 from Charles Berlitz the Bermudas triangle has become a general concept around which, however, many rumours entwine themselves. The results of the magnetic field investigation of the author to the produced knowledge allows a statement to one of the phenomena of the Bermudas triangle. Namely about the cases described up to now of mysterious compass behaviour like gyrating or swaying the compass needle or also the static magnetic variation for which there is an amazing answer.
On account of the present considerations occurs here now the presentation of a model whose starting point is the whole magnetic field of the earth, so the total intensity of the magnetic field (at a place on the earth). The field of the total intensity was chosen, especially because it is virtually steady timewise, about long margins, so a stationary field explaining and hence, is suited well for a general analysis of the earth magnetic field.
This publication concludes the missing link between physics and parts of the radiesthesia as well as the geomancy, as far as it concerns the global net grids.
This book answers many questions and explains numerous puzzling phenomena, while it builds a bridge between physics or geophysics and the biology. It concerns the geophysics radically, as far as it concerns the layer structure of this planet and it makes available a well-founded basis model (with regard to electromagnetic compatibility) to the geobiology.
In addition, an overview about the research to the electromagnetic compatibility and to the magnetic adoption of the last hundred years is offered by which the book is also suited excellently as a reference book.
It would be still pointed out to the fact that the version published here shows merely one shortened (and partially also unedited) version of the book. So much material is still included that the mathematically, physical basic scaffolding of the oscillation model is understandable.
Chapters 1 and 3 serve the introduction and indicate, that the dipole field only is not enough to describe the magnetic earth field.
Chapter 2 serves the introduction of the complete magnetic field respectively the total intensity. All farther considerations and evaluations are based on the complete magnetic field of the earth.
In chapter 4 happens a first (angle) analysis for the magnetic extreme values of the earth field.
Chapter 5,6,8,9,10,11,12 show the mathematically, physical basic scaffolding of the oscillation model.
Chapters 13, 14 and 17 contain the analysis and the connections between the magnetic oscillation system and the bowl construction of the earth, as well as the layers of the atmosphere and, in the end, the figure of the earth.
Chapters 7,15 and 16 contain the connections between the magnetic oscillation system to the earth frequency and the Schumann frequency as well as the Sferics.
Chapter 18 gives an overview about the research to the magnetic sense and to the electromagnetic compatibility during the last hundred years.
Chapter 19 is dedicated to the Haarp project and his relations with the earth magnetic field.
Chapter 20 contains predictions, they arise from the magnetic oscillation model, as well as a result of the won knowledge.




chapter     page in the book
1   The magnetic dipole field of ther earth 17
1.1   Current loop and dipole 17
1.2   The coordinates for the dipole axis 18
1.3   The declension of the earth magnetic field 20
1.4   The determination of the coordinates for thie magnetic poles 22
1.5   The consequence 23
2   The complete magnetic field (totalintensity) of the earth) 24
2.1   Total intensities 24
2.2   IGRF and WMM 25
2.3   Temporary stability 28
2.4   Determination 1 of the coordinates for the extreme values 30
2.5   Determination 2 of the coordinates for the extreme values 30
2.6   The coordinates for the extreme value areas 32
2.7   Ther approach of Gauß 32
2.8   Measuring stations 33
3   The magnetic difference field 34
3.1   Forming the difference 34
3.2   Considerations 35
4   The angle approach for the earth magnetic field 36
4.1   Angle differences 36
4.2   Angle forming 37
4.3   Evaluation of the differences 38
4.4   The zero point 39
5   The basic field 42
5.1   Basic oscillations 42
5.2   The theorie 42
5.3   Spherical harmonics 43
5.4   Addition of sine waves 44
5.5   The basic field 45
5.6   Huygens principle supplement
5.7   Stratification structure, oscillation structure supplement
6   Derivation of the wavelength (frequency of the earth) 48
6.1   Conditions 48
6.2   The derivation 50
6.3   The frequency equation 51
6.4   A relation to the pole axis of the earth 52
6.5   The frequencies of the earth 53
6.6   A further derivation 54
7   Frequencies (Schumann, Sferics) 57
7.1   The Schumann-frequency 57
7.2   The weather frequencies (sferics) 60
8   Fourier analysis of the earth magnetic field 62
8.1   Preparation to the Fourier analysis 62
8.1.1   two-dimensional Fourier analysis supplement
8.2   The quantitative result 63
9   Evaluation for the zonal/sectorial/tesseral part 64
9.1   The statisc part 64
9.2   Ther zonal part 64
9.3   The sectorial part 65
9.4   Basic field ZS 67
9.5   The Grid ZS 70
9.6   The positions of the continents 71
9.7   North light zone and magnetic back 72
9.8   The tesseral part 73
9.9   The coordinates of the extreme values for the tesseral field 74
10   Summery of the fourier analysis 76
10.1   The longitude position of the extreme values 76
10.2   Evaluation of the extreme values 76
10.3   Basic fields 79
11   Global grids (Benker, Curry, Hartmann, GNG) 81
11.1   Hartmann, Wittmann, Curry and Benker 81
11.1.1   The attempt of Hartmann 81
11.1.2   Curry-Benker connection 82
11.2   Basic hull and earth oscillation structure 83
11.2.1   The stripe forming for the Grid lines 83
11.3   To the Benker cube system 85
11.4   Global net grids (GNG) 88
11.4.1   Shifting of irritant stripes supplement
11.5   A relation to the earth frequency 89
11.6   The source points of the earth field 90
11.7   The determination of the source points 91
11.8   The B-Grid 93
11.9   Polyhedron supplement
12   Radial stratifications of the magnetic field 96
12.1   Derivation of the stratifications 96
12.2   Table of the magnetic layers 99
12.3   A possibility of evaluation 102
12.4   Possibilities of proof 103
12.5   A farther possibility of proof 104
13   The bowl construction of the earth and the magnetic field 105
13.1   Evaluation of the distances within the earth for n<11 105
13.2   Evaluation of the distances within the earth for n<17 110
13.3   Result 113
14   The layers of the atmosphere and the earth magnetic field 115
14.1   Evaluation of the extreme distances in the atmosphere for n<21 115
14.2   Evaluation of the averages 119
14.3   Evaluation of the distances in the atmosphere 124
14.4   Result 127
15   Layers and frequencies 1 (Earth frequencies, Schumann frequency, Sferics) 129
15.1   Distance consideration 129
15.2   Frequency consideration 129
15.3   Earth frequency and Schumann frequency 132
15.4   An approximation for the equator frequencies 134
15.5   Common frequencies 134
15.6   The sferic frequencies 136
16   Layers and frequencies 2 (Adey window) 137
16.1   Frequenzcies in the atmosphere for n<21 137
16.2   Frequencies in the earth for n<17 138
16.3   Frequency areas 140
16.4   The Adey window 141
16.5   The Adey window and the Fibonacci sequence 144
17   The figure of the earth and the magnetic field (Bermuda triangle) 146
17.1   Geodetic systems 146
17.2   The average points of the earth 149
17.3   Magnetic field and average points 152
17.4   Magnetic field and three-axle ellipsoid 154
17.5   The C-Grid 156
17.6   The Bermuda triangle 157
18   Magnetic field and life 1 159
18.1   Beginnings of the research 159
18.2   Beginnings of the investigation of magnetic reception 160
18.3   Magnetic reception and birds 161
18.4   Sharks, rays and Kalmijn 163
18.5   Bacteria 163
18.6   The 80s 164
18.7   Fish and magnetic reception 165
18.8   Tortoises and magnetic reception 166
18.9   Klaus Schulten 167
18.10   Biomineralisation 168
18.11   Magnetite, Magnetosome and Mizellen 169
18.12   Magnetospirillum 170
18.13   Genetics 171
18.14   Grounds, rock depositions and lakes 172
18.15   ALH 84001 173
18.16   Life forms and magnetic reception 177
18.17   Seeing and magnetic reception 181
18.18   Plants 182
18.19   The magnetic sense 183
    Magnetic field and life 2  
18.20   Earth frequencies and humans 184
18.21   Electro smog 185
18.21.1   Supplement to the electro smog definition supplement
18.22   Effects of electromagnetic fields 187
18.23   Russian and polish works 188
18.24   Wever, Adey, Bawin and Ludwig 191
18.25   Farther works 193
18.26   Effects on a biochemical level 200
18.26.1   Urzeit-Code supplement
18.27   Consequences 201
    Magnetic field and life 3  
18.28   The experiments with TMS 202
18.29   Antenna in the brain 203
18.30   A sense for electromagnetic fields 205
18.31   To the detection of Energy lines 205
18.32   Strahlensucher und Strahlenflüchter 209
19   The Haarp projekt 211
19.1   Construction and frequencies 211
19.2   The Patents 212
19.3   Consequences 216
20   Voraussagen und Bilanz 218
20.1   Predictions from the grid model 218
20.2   Result 222
    Illustration register 226
    Bibliography 229
    Table of magnetic total intensities 376



  The book to the website - The website to the book
at time is the book only in german language available
  Table of contents for the book


 Das Buch zur Website - Gitterstrukturen des Erdmagnetfeldes


available with:


and in over 1000 Online Shops

Production and Publishing company:
Books on Demand GmbH, Norderstedt

ISBN 9-783833-491269

Store price: 35 Euro

380 sides
72 pictures of it 51 in colour
55 tables
1530 literature references
1900 entries in the register of names