Preface to the lecture, 1

598

 

Universal constants and constants of nature

 

•       Starting-point: 

the fundamental field equation 

(derivation in chapter 27.10) 

 

(27.26)

 

 

•  The number                          =  3.14159

 

 

(29.4)

 

Fig. 29.5: The number   

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Mathematical gleanings___________________________________________ 599 

29.5 Universal constants and constants of nature

 

Strictly speaking fundamental or universal constants can't exist in pure field physics at all. 

For the example of the speed of light has been shown that it merely are measurement 

constants (fig. 6.11). The numerical size is a consequence of the definition. The speed of 

light for instance has the today well-known value as a consequence of the fixing of a 

length unit and a time unit. If we change a unit, if we take ,,feet" instead of ,.meters", then 

another value results. If however the velocity changes, then the reference measure of our 

gauge changes along and we get the identical reading. 

Electric and magnetic field constant depend directly on the speed of light c 

 

which solely by the fixing of the electric units takes a certain value. 

The inner structure of the potential vortices leads from Planck's quantum of action, to the 

elementary charge and to the countless atomic ,,constants", which all objectively seen 

aren't constants at all. They virtually all can be derived (chapter 7).

 

Sooner or later even the last natural scientist will realize, that nature does not provide 

"constants" at all. If ,,constants of nature"' did exist, as listed in textbooks and 

encyclopaedias, then they aren't consistent with causality, since we don't know the cause, 

why the factor should have exactly this size and no other. Behind every so-called constant 

of nature unnoticed is hiding a physical closed loop conclusion.

 

Fundamental constants only exist in mathematics. This can be shown very nicely for the 

example of the ,,fundamental field equation" (eq. 27.26), which has been derived from the 

new field theoretical approach (fig. 27.10). It is the description of waves and vortices in 

space and time, which indeed carries features of a ,,world equation". If one searches this 

equation for fundamental constants, then one altogether can find three: the number the 

number e and the Golden Proportion  The speed of light c however occurs only as the 

mathematical factor characterizing the wave as a result of the defined units. If one would 

choose the units different, c as well could be made 1. With the fundamental numbers that 

procedure won't work. They don't depend on the definition of the units!

 

Let's consider the number The number occurs every time as a proportionality factor if 

we transition from a straight line to a circle or further to a sphere, from a line to the 

circumference or further to the surface of a sphere and exactly so from a line to the area of 

a circle or further to the volume of a sphere. Since for all the special cases, which are 

derived from the fundamental field equation (the structure of the elementary particles, the 

atomic structure and in the same way again in the universe), the spherical symmetry 

dominates, the mathematical solution is determined by a corresponding spatial 

configuration of the number It has its cause neither in a physical relation of interactions, 

nor in the choice of the units, but only in the geometry.

 

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600

 

The fundamental number e

 

 

Fig. 29.6: Forming the limiting value of the number e

 

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Mathematical gleanings

 

601

 

29.6 The fundamental number e

 

In the fundamental field equation (27.26) a further irrational number is concealed, the 

number e. Whereas the left side of the equation (a) gives the spatial distribution, the right 

side (b-e) describes the temporal course of events. Besides the term constant in time (e) 

also first time derivations (c and d) and a second time derivation (b) occur. 

For a solution of this differential equation a function should be found, the derivations of 

which are again the function itself. This condition strictly speaking is fulfilled only by one 

single function, the e-function.

 

We used this property of the e-function already for the derivation of the Schrodinger- 

equation in chapter 5.6 and 5.7. There with the help of the e-function an approach was 

chosen, which leads to the well-known solutions of the Schrodinger-equation, which are 

considered to be secured experimentally. With that the number e controls the temporal 

relations of the fundamental field equation.

 

It might be helpful to take a closer look at the origin of the number e. It results from a 

consideration of limiting values: _

 

 

(29.5)

 

If one varies n and allows different values between

and

then a strange behaviour is 

showing. One indeed more and more approaches the well-known value of e = 2.72, as 

dictated by the definition of limiting values according to equation (29.5), the larger n is 

chosen. But in the opposite direction it looks less tidied:

 

 

Since the e-function inside the fundamental field equation is responsible for the temporal 

sequence, the interpretation of my colleague Prof. Dr. Preussker

 gets a deeper sense. He 

says, it starts outside our imagination (at n = -1). Afterwards at first big chaos prevails. 

Mathematically seen some imaginary solutions arise. Finally the system is putting in order 

(from n = 0), to more and more approach the value e = 2.72 .

 

The number e is of fundamental importance and thereby holds unforeseen secrets. More 

mysterious and until now entirely misunderstood is the meaning of the Golden Proportion. 

Also this indivisible number can be found in the fundamental field equation. Since it is 

less known and more complicated to handle, it first shall be introduced.

 

:     H. Preussker: Der Wirbelring, Halstenbeck 2002

 

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