6. 17 Transformation

The observation domain is, as the name already expresses, perceptible (observable) with

the help of our sense organs and measurable with corresponding apparatus. The special

theory of relativity for the most part provides us the mathematics needed for that. And in

that is assumed a constant speed of light. Because a length contraction is being observed

and can be measured, a time dilatation must arise as a consequence. Such is the consistent

statement of this theory. Because we already could make us clear that it concerns a

subjective theory, of course caution is advisable if generalizations are being made, like the

one of the inductive conclusion of the length contraction on the time dilatation. We'll

come to speak about that in this chapter (fig. 6.20).

The model domain however is not observable to us and only accessible in a mathematical

manner. Here the time is a constant. On the other hand do the radii of the particles and all

other distances and linear measures stand in direct proportionality to the speed of light. If

that changes, then does that lead to a change in length. The length contraction occurs

physically, which means actually. We propose the name "theory of objectivity" for the

valid theory which is derivable with this prerequisite and independent of the point of view

of the observer.

The importance of this model domain and of the possible model calculations is founded in

the circumstance that many physical relations within our observation domain aren't

recognized by us and can't be mathematically derived. Besides is only all to often worked

with unallowed generalizations and with pure hypotheses. Such a thing does not even exist

in the model domain.

The model domain can be tapped over a transformation. For that we select an approach

x(r) in the to us accessible observation domain. This then is transformed into the model

domain by a calculation instruction M{x(r)}. Here we can calculate the sought-for relation

In the usual manner and transform back again the result according to the same calculation

instruction M-1{x(r)} but in the reversed direction. After being returned in our familiar

observation domain, the result can be compared and checked with measurement results

(fig. 6.17).

In this way we will derive, calculate and compare the quantum properties of the

elementary particles with the known measurement values. Here we remind you of the fact

that all attempts to calculate the quantum properties conventionally, without

transformation, until now have failed. Not even a systematization may succeed, if it

concerns for instance explanations for the order of magnitude of the mass of a particle.

A transformation at first is nothing more than an in usefulness founded mathematical

measure. But if a constant of nature, and as such the quantum properties of elementary

particles until now have to be seen, for the first time can be derived and calculated with a

transformation then this measure with that also gains its physical authorization.

We now stand for the question: how does the instruction of transformation M{x(r)} read,

with which we should transform the approach and all equations from the observation

domain into the model domain?