theory of objectivity
131
6.19 Interpretation of the transformation table
The transformation should tell us, what we would see if the variable speed of light would
be observable to us. Doing so highly interesting results come out.
The energy density of a field is as is known
. (6.37)
In the observation domain will, according to fig. 6.19, decrease the energy density w
proportional to 1/r
4
. Multiplied with the respective volume we obtain for the energy itself
the proportionality:
W ~ 1/r .
(6.38)
If we make use of the Einstein relation
W = m • c
2
with c = constant holds also for the mass m:
m ~ 1/r .
(6.39)
In this manner we finally find out, why the small nucleons (protons and neutrons) subjec-
tively seen are heavier than the very much larger electrons. As a consequence does a rela-
tivistic particle experience the increase of mass (with the length contraction according to
equation 6.24*):
(6.40)
This result is experimentally secured. Our considerations therefore are entirely in accord
with the Lorentz-transformation. There at least is no reason to doubt the correctness.
In the model domain we with advantage assume a spherical symmetry. As easily can be
shown with equations 6.4 and 6.31, are the capacity and charge of a spherical capacitor
independent of the radius (6.30 and 6.32). In that case also the from both values calculable
energy (6.1) must be constant. We come to the same conclusion, if take we the above
equation 6.37 for the energy density of a field or if we carry out a verification of
dimensions:
W [VAs] = konst. .
(6.33)
This simple result is the physical basis for the law of conservation of energy! With that
we have eliminated an axiom.
The result states that the energy stays the same, even if the radius, the distance or the
speed of an object should change. To the subjectively observing person it shows itself
merely in various forms of expression. Consequently is the energy, as is dictated by the
here presented field theory, formed by binding in the inside of the quanta the same amount
of energy but of the opposite sign. The amount of energy therefore is bound to the number
of the present particles, as we already had derived.
Under the assumption of a constant time (6.35) there results for the electric conductivity
by calculating backwards over the equation of the relaxation time (5.3), the
proportionality: (6.36)
(6.36)
Maybe the result surprises, because it can't be observed. Actually we know that the
(microscopically observed conductivity in reality only represents an approximated
averaged measure for the mobility of free charge carriers. In a particle-free vacuum
however this well-known interpretation doesn't make sense anymore. Hence it is
recommended, to only work with the relaxation time constants. Who nevertheless wants to
eontinue to work with as a pure factor of description, can do this. But he mustn't be
surprised, if in the model domain with decreasing radius the conductivity suddenly
increases. But this is necessary, because otherwise the elementary particles would
collapse. Only by the increase of the conductivity, which is produced by the spherical
vortex itself, will the expanding eddy current build up in the inside of the particles, which
counteract the from the outside concentrating potential vortex.
132 ________________________________________________________ Particle decay
Approach:
a.The particles don't decay by themselves, but only by a
corresponding disturbance from the outside.
b.The decay time is the statistical average in which such a distur-
bance can occur and take effect.
c.The elementary particles consist of an integral and finite
number of elementary vortices, which can't decay anymore for
their part.
d.If the compound particles get into the disturbing range of
influence of high-frequency alternating fields, then they are
stimulated to violent oscillations and in that way can be torn
apart into individual parts.
e.As disturbing factor the high-frequency fields of flying past
neutrinos are considered primarily.
f. Authoritative for the threshold of decay and with that also for
the rate of decay is the distance, in which the neutrinos fly past
the particle.
g.The distance becomes the larger, the smaller the particle is. If
the particle thus experiences a relativistic length contraction,
then it will, statistically seen, to the same extent become more
stable!
That has nothing to do at all with time dilatationl
We are entitled to demand a simultaneity, after all we are the ones,
who tell what that is!
Fig. 6.20: Proposal for an interpretation of the particle decay
: Walter Theimer: Die Relativitatstheorie, Seite 106,
Francke Verlag, Bern, 1977, ISBN 3-772O-126O-4