606
The Golden Proportion
•
The quadratic equation 29.14:
(29.15)
•
has the solution:
(29.16)
•
for the proportion v/c:
(29.17)
•
The result v/c = 1.618
(29.18)
•
resp.: c/v = = 0.618 = ,,Golden Proportion"(29.19)
• acc. to that is: 1 + = 1.618= 1/ = 1/0.618(29.18*)
• Concerning the physical meaning of v/c = 1.618
(29.17)
=>In the ideal case at 1.618 times the speed of light at
the stability limit, the natural and spontaneous
conversion from vortex to wave and vice versa occurs.
=> Scalar wave antennas have their optimum degree of
effectiveness in the Golden Proportion!
Fig. 29.9: ____ Derivation of the Golden Proportion from the
fundamental field equation.
Mathematical derivations
607
For larger velocities, as Tesla has produced already 100 years ago, the
stability of the
vortices, but also their biological effectiveness increases. From a high-frequency technical
viewpoint this is the domain of the noise, the domain of instable oscillating noise vortices.
From a biological and medical viewpoint especially here the answers should be sought to
questions concerning the electromagnetic environmental compatibility.
This domain stretches from v = c to v = 1.618*c, the boundary case, where a spontaneous
conversion of the wave into the vortex is possible. The Golden Proportion describes the
stability limit, where the field vortices after they have been formed, don't decay anymore.
From this velocity on the antenna resp. radiation source hasn't got a limited near-field
zone anymore, since that now reaches to infinity. Only from this distinct velocity on I give
the field vortices the name "neutrino".
29.9 The Golden Proportion
Whereas traditional antennas, which should emit electromagnetic waves, are optimized for
signals with the speed of light, do scalar wave antennas have their optimum degree of
effectiveness in the Golden Proportion. Thereby the goal of an emission of oscillating
ring-like vortices is pursued. Vortices, which with a velocity of propagation of v =
1.618-c remain stable and make possible a spatially unlimited transmission of energy and
information by scalar waves.
The velocity of propagation v is calculated from the product of wavelength times
frequency.
If the frequency of a transmitter is prescribed, then the geometry of the
transmitting antenna decides on the degree of effectiveness of the antenna and on how
many parts of transverse waves are emitted in relation to longitudinal waves. In the case of
a broadcast antenna usually or
is chosen. For a scalar wave however the optimum
is reached with
(29.20)
With that the electrotechnical problem becomes a geometrical one, if it concerns the use of
scalar waves. Crucial is the antenna geometry, and the Golden Proportion provides the
necessary constructional instruction. Were the buildings in antiquity, which were
constructed according to the Golden Proportion, technical facilities for scalar waves
?
Did the builders have physically explainable and mathematically provable guidelines?
At this place, by the derivation of the Golden Proportion from the fundamental field
equation, there arise completely new aspects for the judgement and interpretation of
buildings especially from antiquity. If we have understood their way of functioning, then
we will be able to learn much from that for our own future and for the future construction
of scalar wave devices. Concluding the seminar we hence deal with antiquity.
608
Claim
ancient temple
= short wave station
dedicated to one god
= fixing of the frequency
supreme god Zeus,
father of all gods
= range of the short wave,
= all SW wave bands
priest,
representative
of the god
= amateur radio operator,
with licence to transmit
high priest
= chief intendant
Pontifex Maximus,
,,topmost bridge builder"
= chairman of the authority
and the telegraph offices
oracle
= telegraphy receiver
runes, cuneiform writing
= telegraphy symbols
metre, hexameter
= increase of redundancy
oracle priest
= telegraphy interpreter
tripod
= reception key, electro-
acoustical converter
looking at intestines,
rite of sacrificing
= reading off convulsions,
electro-optical converter
temple books
= news-notes
seer, who looks into
the god world
= amateur radio operator,
at telegraphy reception
Homer
= ancient radio reporter
Fig. 30.1: ____Little dictionary for ancient radio engineering (1).
: Lamer: Worterbuch der Antike, Kroner Verl. Bd.96 under "oracle" stands: ,,Lat.
oraculum = site of speaking; particularly: site, where a god speaks; then: that,
what the god says". According to the encyclopaedia oracle priests inspired by a
god ,,simply were frauds, who lived of the ignorance of the public".