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Space-Energy Research / Global Scaling
The Discovery of the Century:
Telecommunications
Free from Electric Smog!
IREF develops G-Com®: world-first technology for language modulation of standing
gravitational waves. On October 27th, 2000 a new age of telecommunications was begun.
By Dr. rer. nat. Hartmut Müller, director of the Institute for Space-Energy-Research in
memory Leonard Euler.
telecommunications — free
from electric smog.
Mathematics Became Isolated
from Natural Sciences
Nature continues to amaze us
with an almost infinite variety of
phenomena. Man has been
searching for centuries to find
the principle that “holds the
world inside together”. Today
we are closer to the solution of
this puzzle than never before.
Since the time of Galileo and
Newton we have known of prop-
erties that are common to all ma-
terial phenomena: space, time
and motion. These are physical
properties, which explains why
physics holds a fundamental po-
sition among all of the natural
sciences. Till the end of the 20th
century physics dealt with the ex-
This is what millions of people are waiting for: telecommunica-
tions that does not engender electric pollution. Nobody complains
about telecommunications, but everybody (except the producers)
complains about electric smog caused by it. The increase of trans-
mitting masts in the mobile phone sector has become life-endan-
gering. Very soon, this will be a thing of the past. In the summer of
this year, the physicist and mathematician Dr. Müller, director of
the Institute for Space-Energy-Research, Wolfratshausen, has suc-
ceeded for the first time to modulate language signals onto stand-
ing gravitational waves. On October 27th a historic scientific ex-
periment was carried out in Bad Tölz—the first language
transmission by means of standing gravitational waves between
Bad Tölz and St. Petersburg. Read now Dr. Hartmut Müller’s ex-
planations on the physics and mathematics involved.
S
tanding waves are nothing
tally demonstrated for the first
time in 1986. These standing grav-
itational waves need not be gener-
ated for they permeate the whole
universe setting it into syn-
chronous vibrations on all levels
of scale.
The idea to use standing gravity
waves as carrier waves for infor-
mation transmission was born al-
ready in 1989 — albeit only in the-
ory. Practical application proved
recalcitrant. Only the develop-
ment of the G-element (1998-
2000) brought the breakthrough.
This gravi-electric energy con-
verter is able to modulate stand-
ing gravitational waves of natural
origin. Even though G-Com®
technology is still in its infancy
(the first successful language
modulation was achieved in July
of 2001) it already far surpasses all
traditional methods of informa-
tion transfer in two important as-
pects:
•
The first: A modulated stand-
ing gravitational wave can be de-
modulated instantly (isochrono-
usly) in any place on planet
Earth, on Mars or outside of the
solar system. Distance and trans-
mission times are rendered
meaningless.
•
The second: Waves are neither
being generated nor sent. Hence
G-Com® technology does not
require antennas, satellites, am-
plifiers and transformers. This is
the beginning of a new era of
Bad Tölz
special in nature. But it is
only now that we have
come to be able to use
them for purposes of communica-
tion. Any conventional means of
telecommunications, be it radio,
television, telephony or even
megaphone, uses not standing but
propagating waves for informa-
tion transfer. And this is for a
good reason: standing waves do
not transmit energy. This doctrine
is still valid today – with one ex-
ception: it does not apply to stand-
ing gravitational waves. The exis-
tence of this special kind of
standing wave was postulated by
the Theory of Global Scaling (H.
Müller, 1982) and was experimen-
St. Petersburg
Ill.1:
The gravielectric
energy converters
(G-Elements) used in
G-Com® technology
differ from the original
prototype mainly in their
size (6 x 8 mm).
Photo: IREF
special 1 Global Scaling
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119
ploration of quantitative rela-
tionships among these funda-
mental properties and their
derivatives. In the centre of its
epistemological paradigm was
physical measuring that became
the “sacrament” of scientific
production altogether. Simulta-
neously, this paradigm put an
end to the ancient student-mas-
ter relationship between natural
sciences and mathematics. In the
large-scale academic enterprise
of today the mathematician only
develops the models. It is the
physicist (chemist, biologist, ge-
ologist) who decides which of the
models matches the measure-
ment and will be applied. As a
result of this division of labour
mathematics became more and
more ‘instrumentalised’ and
hence isolated from its intellec-
tual source—the natural sci-
ences.
And so it was that physics itself
was demoted to a mere inter-
preter of models and ideas that
got completely out of touch with
reality – and this happened to an
ever greater extent. To calculate
a modern physical model “up to
the last digit” and to verify it by
measurement, is only possible
for the most simplified cases
nowadays. Physical laws have
degenerated to juristic hair-split-
ting; physical facts have become
totally dependent on the model
they describe.
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Ill. 2: Whales and dolphins use acoustic waves for orientation
and communication. Sound propagates in water 4.7 times faster
than in air. Some large-sized whales can communicate across
hundreds and thousands kilometres using very deep sounds.
Blue whales use sounds in the range of 10-40 Hz (see spectro-
gram). When sperm whales migrate over long distances they
produce a permanent clicking sound. The clicks function as an echo sounder for orientation in the
oceans. All toothed whales, including dolphins, produce such clicking sounds. The sound impulses
are focused onto objects that will reflect a faint echo. The extremely specialised ear of toothed wha-
les will perceive these echoes and the brain constructs an image of the object. Besides finding use
for purposes of echo depth sounding the clicks of sperm whales are also used for communication.
Certain patterns are continually repeated. Individuals in a group of whales have their own specific
signatures. The same echo-click-sounds will simultaneously scan the underwater mountain ranges
beneath the animals which get imprinted as three-dimensional landscapes in the animal’s brain.
Communication of dolphins is even richer in sound variety than that of whales. They use high-fre-
quency “click packets”, i.e. the clicks are transmitted so rapidly that we perceive them as a conti-
nuous sound. The main energy of these sounds is emitted with peak frequencies between 30 and 135
Hz and peak sound pressure values of up to 230 dB, depending on situation and type of sound. Du-
ration of one click is circa 150 msec. Clicks are transmitted on a broad band, which means that rat-
her than pure sounds a frequency mixture (similar to the noise of a radio without station) of short
duration and high energy is generated. Blue whales and humpback whales use the so-called sound
channel for communication across vast distances (6000 km). This channel is a temperature-isolated
layer in the water in which standing sound waves will form.
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Time (s)
A Scientific Gold Mine
The scientific division of labour
according to the example of
large-scale industries also had its
positive consequences (“Noth-
ing so bad that it wouldn’t be
useful”—an old Russian saying
goes). The physical compatibility
of completely different mathe-
matical models made it neces-
sary to bring the precision of
physical measurements to un-
precedented heights. Over
decades a colossal and priceless
data base accumulated that con-
tains the spectral lines of atoms
and molecules, the masses of the
elementary particles and atomic
nuclei, atomic radii, dimensions,
distances, masses and periods of
revolution of the planets, moons
and asteroids, the physical char-
acteristics of stars and galaxies,
Sources: Pacific Marine Environmental Laboratory, Hochschule für Technik, Wirtschaft und Kul-
tur Leipzig; photo of whales: Helga Lade Fotoagentur.
and much more. The need for
measurements of utmost preci-
sion promoted the development
of mathematical statistics which
in turn made it possible to pre-
cisely describe morphological
and sociological data as well as
data from evolutionary biology.
Ranging from elementary parti-
cles to galactic clusters this scien-
tific data base extends across a
minimum of 55 orders of magni-
tude. Yet, despite its tremendous
cosmological significance this data
base has never been the object of
an integrated (holistic) scientific
investigation until 1982. The trea-
sure lying at its feet was not seen
by the labour-divided, mega-in-
dustrial scientific community.
Fauna and Flora with Regard to
the Body Size of Organisms”
(see illustration 3). His work
documents what is probably the
most important biological dis-
covery of the 20th century.
Cislenko was able to prove that
segments of increased species
representation were repeated on
the logarithmic line of body sizes
at equal intervals (approx. 0.5
units of the decadic logarithm;
see illustration 4). The phe-
nomenon is not explicable from
Most Significant Discovery
by Cislenko
First indication of the existence
of this scientific ‘gold mine’ came
from biology. As the result of 12
years of research Cislenko pub-
lished his work “Structure of
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special 1 Global Scaling
Ill. 3:
The title page of the book Structure of
Fauna and Flora in Relation to the Body
Sizes of Organisms (Lomonosov Univer-
sity Press, Moscow 1980). This work
authored by the biologist Cislenko docu-
ments what is likely to be the mot signifi-
cant discovery in the evolutionary biology
of the 20th century: sections of increased
specie representation recur on the loga-
rithmic line of body sizes at regular
intervals (circa 0.5 units of the decadic
logarithm).
Ill. 4:
Graph showing the “percental
distribution of the number N of
large taxonomic groups in the
pelagic zone of the world’s
oceans related to linear body
sizes L”.
a biological point of view. Why
should mature individuals of am-
phibians, reptiles, fish, bird and
mammals of different species all
find it advantageous to have a
body size in the range of 8 - 12
cm, 33 - 55 cm or 1,5 - 2,4 m?
Cislenko assumed that in the
plant and animal kingdoms com-
petition occurs not only for food,
water or other resources, but al-
so for the best body sizes. Each
specie tries to occupy the “ad-
vantageous” intervals on the log-
arithmic scale where mutual
pressure of competition also
gives rise to crash zones.
Cislenko, however, was not able
to explain why both the crash
zones and the overpopulated in-
tervals on the logarithmic line
are always of the same length
and occur in equal distance from
each other, nor could he figure
out why only certain sizes would
be advantageous for the survival
of a species and what these ad-
vantages actually are. Cislenko’s
work made me search for other
scale-invariant distributions
within physics, since the phe-
nomenon of scaling was already
well known in high-energy
physics.
In 1982 I was able to prove the
existence of statistically identical
frequency distributions with log-
arithmic-periodically recurrent
maxima for the masses and radii
of atoms as well as for the rest
masses and life spans of elemen-
tary particles. I found similar fre-
quency distributions along the
logarithmic line of the sizes, or-
bits, masses, and revolution peri-
ods of the planets, moons and as-
teroids. Being a mathematician
and physicist I did not fail to
recognise the cause for this phe-
nomenon in the existence of a
standing pressure wave within
logarithmic space of the
scales/measures.
– 90 (without measurement unit,
or as the physicist says: with unit
1). The distances between these
numbers on the number line are
33 - 12 = 21 and 90 - 33 = 57. If we
were to choose another measur-
ing unit, such as an ell having
49,5cm, the resulting number se-
quence will be 0,24 – 0,67 – 1,82.
The distance between the num-
bers has changed. It is now 0,67 -
0,24 = 0,42 and 1,82 - 0,667 =
1,16. On the logarithmic line,
however, the distance will NOT
change, no matter what measur-
ing unit we choose, it remains
constant. In our example, this
distance amounts to one unit of
the natural logarithm (with radix
e = 2,71828…): ln 33 - ln 12 = ln
90 - ln 33 = ln 0,67 - ln 0,24 = ln
Ill. 5:
Not the leaning tower of Pisa, but the
146-meters-high free-fall tower of
Bremen (Centre for Applied Space
Technology and Microgravity) used
by scientists from Jena under the di-
rection of Dr. Wolfgang Vodel (Insti-
tute for Solid State Physics of Frie-
drich-Schiller-University) to
investigate whether a leaden body will
fall to the ground faster than a body made of the much lighter
metal aluminium. The experimental set-up has not much in com-
mon with Galilei’s experiment: During free fall conditions like in
outer space apply inside the test capsule for a period of 4.7 se-
conds—vacuum and weightlessness. The superconducting mea-
suring arrangement inside the 220 kg free-falling capsule is coo-
led down to a minimum of minus 269 degrees Celsius using
liquid helium. Two separate free-fall experiments (pseudo-Gali-
lei tests) are intended to measure a possible material-related
violation of the Weak Equivalence Principle with a hitherto un-
equalled precision of < 10-13. While the satellite experiment
STEP (Satellite Test of Equivalence Principle) that will have an
observational limit of circa 10-18 is planned for 2004, free-fall
tests at the tower in Bremen have already brought first results in
comparisons of lead and aluminium test bodies. Evaluations of
the measuring results have not been published yet.
Source: German Physical Society
Photo: State Chancellery Bremen
The Logarithmic World of Scales
What actually is scale? Scale is
what physics can measure. The
result of a physical measurement
is always a number with measur-
ing unit, a physical quantity. Say,
we measure 12cm, 33cm and
90cm. Choosing 1cm for stan-
dard measure (etalon) we will
get the number sequence 12 – 33
special 1 Global Scaling
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121
1,82 - ln 0,67 = 1. Physical values
of measurement therefore own
the remarkable feature of loga-
rithmic invariance (scaling). So,
in reality any scale is a logarithm.
Interestingly, natural systems
are not distributed evenly along
the logarithmic line of scales.
There are “attractive” sections
which are occupied by a great
number of completely different
natural systems; and there are
“repulsive” sections that most
natural systems will avoid. Crys-
tals, organisms or populations
that when growing will eventual-
ly reach the limits of such sec-
tions on the logarithmic line, will
either stop growing or will begin
to disintegrate, or else will accel-
erate growth so as to overcome
these sections as quickly as possi-
ble.
The Institute for Space-Energy-
Research i.m. Leonard Euler
(IREF) was able to prove the
same phenomenon also in demo-
graphics (stochastics of urban
populations world-wide), econo-
my (stochastics of national prod-
uct, imports and exports world-
wide) and business economy
(stochastics of sales volume of
large industrial and middle-class
enterprises, stochastics of world-
wide stock exchange values).
The borders of “attractive” and
“repulsive” segments on the log-
arithmic line of scales are easy to
find because they recur regularly
at a distance of 3 natural loga-
rithmic units. This distance also
defines the wavelength of the
standing pressure wave: it is 6
units of the natural logarithm.
The anti-nodes of this global
standing pressure wave replace
matter on the logarithmic line of
scales, while matter concentrates
in the node points. Thus a ten-
dency of fusion occurs in the
gradual transition from wave
peak (anti-node) to wave node,
while in the reverse transition
from node point to anti-node dis-
integration tendencies arise.
This process causes a logarith-
mic-periodical change of struc-
ture. Packed and unpacked sys-
tems alternately dominate on the
logarithmic line of measures at
distances of 3k, i.e. 3, 9, 27, 81
and 243 units of the natural loga-
rithm.
Ill. 6:
As night-active animals bats take their bearings pri-
marily by means of their ultrasound echolocation
systems. The ultrasounds are produced in the
larynx and emitted either through the mouth or the
nose. Returning echoes are analysed by the ear in a
way that enables bats to perceive the shape, size,
structure, distance and movement of reflecting ob-
jects even in absolute darkness. Each kind of bat
produces its own typical sounds. Also frequency
spectrum, sound pressure and duration of signals
are specific to each specie. For example, the large
horseshoe bat generates sounds in the range of 83
kHz, the small horseshoe bat in the range of 107
kHz. The position finding sounds of the large ma-
stiff bat occur around 17-25 kHz, that of the dwarf bat around 46 kHz and 55 kHz. Horseshoe bats
(Rhinolophidae and Hipposideridae) are specialised to hunting insects in tropical, densely foliated
regions. This requires that these animals are able to discern the echo reflected from the prey from
the numerous interference echoes of surrounding vegetation. In behavioural studies it was found
that only moving prey is discovered by means of the bat’s echolocation sounds. These sounds have
a section with constant ground frequency that lasts for up to 100 msec. When the flapping wings of
an insect reflect the sounds, there occurs a frequency modulation in the echo based on the Doppler
effect. It seems to be these modulations that are registered by the horseshoe bats; even if such mo-
dulated echoes are generated artificially the bats will attack the source of these echoes. Hence it is
the feature of frequency modulation that allows for a discernment of echoes that come from a po-
tential prey, and echoes that are reflected by the vegetation. In fact it was found that the inferior
colliculus of horseshoe bats contains auditory neurones that are tuned to the individual frequency
of the locating sound and react most prominently to tiny frequency variations in the returning so-
und echoes. Even a frequency variation as small as that of 84,22 kHz to 84.23 kHz was immediate-
ly answered by a ‘volley’ of discharge. Bats use ultrasound impulses with a frequency of 40 kHz to
paralyse insects and make easy prey of them. Certain insects also generate ultrasound of up to 250
kHz both for orientation as well as for paralysis of prey and enemy.
Image: premium
Origin of Gravita-
tion Explained
The existence of a
standing density
wave in logarithmic
space explains the
origin of gravita-
tion. This is a novel-
ty in the history of
physics. The global
flow of matter in di-
rection of the node
points of the stand-
ing density wave is
the cause for the
physical phe-
nomenon of gravita-
tional attraction.
Thus, particles,
atoms, molecules,
celestial bodies, etc.
– the scales/mea-
sures of which sta-
bilise in the node
points of the stand-
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special 1 Global Scaling
Ill. 7:
Analysing the frequency spectrum of so-called white noise (radio with
no station) with an oscilloscope one will find that it consists of individual
“clicks” similar in structure to the clicks of whales and dolphins. The
frequency of these clicks (here 8.37 MHz) takes on values correspon-
ding closely to node points of the standing pressure wave in logarithmic
space.
Ill. 8:
All numbers can be constructed from
natural numbers. The universal principle of
construction is called the continued frac-
tion. Continued fractions for irrational
numbers were already developed by Leo-
nard Euler (1748). the Global Scaling
continued fraction (bottom) describes not
only the distribution of prime numbers
along the logarithmic number line but also
the distribution of matter in the logarithmic
space of scales.
Ill. 9:
A method of non-contact control of materials by means of acoustic waves was develo-
ped by Narayanan Komerath, professor for technical astronautics at the Georgia Insti-
tute of Technology and his students. In so-called “acoustic shaping” sound waves insi-
de a closed area are reflected in such a way that they will superpose to form standing
waves. This creates areas of great intensity but also areas of total stillness called nodes.
Anything moving into such a node is no longer able to move away from it since the air
pressure surrounding it is larger in every direction. Under conditions of weightlessness
this allows for a single particle to remain in a certain location. In a next step Komerath
and his students are planning experiments in space – NASA has reserved them a little
corner in the Space Shuttle that will launch in March 2002. The automated experiments
are meant to prove that sound cannot only be used to build three-dimensional shapes
but also make them robust and durable.
Source: Heise Online. Photo: Aerospace Digital Library.
ing pressure wave – become
gravitational attractors. In physi-
cal reality, therefore, the stand-
ing density wave in logarithmic
space of scales also manifests as
a global standing gravitational
wave.
In consequence, the exact corre-
spondence of the values of the
inert and gravitational masses of
physical bodies (as physics pos-
tulates), independent of the
body’s density or material, is on-
ly possible only in the exact node
points of the global standing
density wave. To date the re-
quired systematic measurements
to verify this aspect of Global-
Scaling-Theory have not been
carried out. The Institute of Sol-
id-State-Physics at Friedrich
Schiller university is now prepar-
ing free-fall experiments ( Pseu-
do-Galileo-Tests) at the Bremen
gravity tower in order to deter-
mine the possibility of a materi-
al-related violation of the equiv-
alence principle with the
hitherto unmatched precision of
< 10
-13
. The Satellite Test of the
Equivalence Principle STEP
planned for 2004 aspires to an
observational limit of ca.10
-18
. At
a height of 550 km comparisons
will be made of acceleration ve-
locities of four different pairs of
test masses moving on an almost
circular solar-synchronous orbit
STEP).
nently provided energy from out-
side. This means that our universe
is in a constant energy exchange
with other universes.
Standing waves are very common
in nature because generally every
medium is limited/bounded,
whether we are talking about the
water in the oceans, the air of the
earth's atmosphere or the radia-
tion field of the sun’s atmosphere.
Standing waves excite the medium
into natural oscillations, and due to
the fact that the amplitude of a
standing wave is no longer time-
dependent but only space-depen-
dent, these eigenvibrations will
move in sync across the whole
medium.
A wave occurs whenever an oscil-
lating particle in a medium excites
adjacent particles into vibrations
so that the process propagates.
Due to the viscosity or elasticity of
the medium and the inertia of the
particles their oscillation phases
differ and the physical effect of a
phase shift in space – termed a
propagating wave – will arise. The
rate of this phase shift (phase ve-
locity) is always finite and depen-
dent on the medium.
In contrast, phase velocity of a
standing wave between two adja-
cent node points is zero because all
particles oscillate in phase. This
gives rise to the impression that the
wave “stands”. In each node point
the phase actually bounces by 180
degrees – so phase velocity is theo-
retically infinitely high. It is pre-
cisely this property that makes
standing waves so attractive for
communication.
The “Sound Barrier”
of the Universe
Standing waves can only form if
the medium in which they propa-
gate is bounded. Consequently,
the existence of a standing density
or pressure wave in the universe
implies that the universe is limited
in scale. At the universe’s lower
scale horizon density of matter
reaches a maximum, at its upper
horizon matter density is at a mini-
mum. The two horizons constitute
the universe’s “sound barrier”. At
these phase transitions pressure
waves are reflected, overlap and
form standing waves. A standing
wave can only exist for any length
of time if the medium is perma-
Standing Waves in Logarithmic
Space Transmit Energy
Communication is energy trans-
mission. Standing waves, howev-
er, do not transmit energy, they
merely pump energy back and
forth within half a wavelength.
Half a wavelength is completely
sufficient – even for interplane-
tary communication – if we are
dealing with standing waves in
logarithmic space.
The wavelength of standing
density waves in logarithmic
space are 2·3
k
, i.e. 6, 18, 54, 162
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