E. Robert Schulman, C. Virginia Cox, and E. Anne Schulman
Alexandria, Virginia
Abstract
The stacking properties of toroids that reflect radiation in
the 1.8 to 2.8 eV energy range is investigated. Preliminary
results indicate that in the optimal configuration the toroids
are oriented vertically with those reflecting lower energy
photons having larger gravitational potential energies for
toroids of equal mass. The ambiguousness of this solution is
tested by experiments performed by a relatively inexperienced
researcher (t= 0.9167 yr). These experiments indicate that
alternate solutions can be found.
1. Introduction
The significance of toroidal stacking properties
in the present society should not be underestimated. A plurality of localities
in which dwell immature Homo sapiens contain educational implements
consisting of conic surfaces that can be combined with multiple toroids
to produce coherent structures. The number of toroids per conic surface
is usually five, and there is often an anticorrelation between toroidal
radius and the mean energy of photons reflected by each torus.
In this paper, we report on the results of a study
of toroidal stacking properties by independent groups. Two of us (ERS and
CVC) are experienced researchers, while one of us (EAS) is a relatively
inexperienced researcher, having an age of 0.9167 yr at the time the study
was performed.
2. Description of Experimental Apparatus
The experimental apparatus consists of six components:
A solid with a circular base and a plane curve tapering uniformly towards
a vertex, which has a mean reflected photon energy of 2.18 eV, and five
toroids of different radii having mean reflected photon energies of 2.76,
2.43, 2.18, 1.97, and 1.80 eV. The experimental aparatus is shown in Figure
1:
3. Description of Experiment 1
In the first experiment, two of us (ERS and CVC)
together attempted to determine the optimal toroidal stacking configuration.
It was found that in the most advantageous mode the toroids are arranged
in a vertical orientation with those reflecting lower energy photons having
larger gravitational potential energies for toroids of equal mass. This
solution is listed in column 2 of Table 1.
4. Description of Experiment 2
In the second experiment, one of us (EAS) independently
attempted to determine the optimal stacking configuration. A large number
of acceptable solutions were found, although interestingly these did not
include the solution described in section 3. Columns 3 to 8 of Table 1
list six solutions that were found using this method:
Table 1. Toroidal Stacking Solutions
Solution Number
1 2a
2b 2c 2d
2e 2f
Level 6
2.18 2.43 1.80 2.43
1.97 1.80
Level 5 1.80
1.97 1.80 2.43 1.80
1.80 2.18
Level 4 1.97
1.97 1.97
1.97
Level 3 2.18
2.76 2.18 2.18
Level 2 2.43
2.43
2.43 2.43
Level 1 2.76
2.76
2.76
5. Discussion
Although the experienced researchers consistently
found only one optimal toroidal stacking solution, the relatively inexperienced
researcher found a multiplicity of acceptable solutions. These results
can be understood in the context of a model that predicts a strong correlation
between acceptance of the current scientific paradigm and research experience.
The verisimilitude of solution one is brought into
question by its absence in the multiple trials of experiment two; despite
the abstract plausibility and possible pedagogic utility of the concept
of orienting toroids vertically with those reflecting lower energy photons
having larger gravitational potential energies for toroids of equal mass,
it is possible that this and similar concepts limit the phase space explorations
of experienced researchers.
6. Conclusions
The stacking properties of toroids that reflect
radiation in the 1.8 to 2.8 eV range was investigated. Preliminary results
indicated that in the optimal configuration the toroids are oriented vertically
with those reflecting lower energy photons having larger gravitational
potential energies for toroids of equal mass.
The ambiguousness of this solution was tested by
experiments performed by a relatively inexperienced researcher (t= 0.9167
yr), which indicated that alternate solutions can be found. In fact, the
inexperienced researcher failed to find the original solution, suggesting
that the phase space explorations of the experienced researchers were limited
by their adherence to the currently accepted scientific paradigm.
An English translation of this report is also available.