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
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.
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