Preface to the lecture, 1



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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".

 



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