||Focused Waves vs. Planet Formation
Are there such layers in our atmosphere, or the atmosphere of
the other planets? If so, how is the wave concentration manifest?
The speed of sound will vary with temperature, pressure,
and the matter through which it passes. If these things vary
in space it can have the consequence of refocusing the wave
and preventing it from dispersing. (This approach is used in
fiber optics.) If the right conditions were to occur in an
atmosphere sound waves could be concentrated into a single
turbulent layer, or rapidly dispersed out of another layer.
Could this refocusing of waves account for planet formation
in the gas cloud around a young star?
Galaxies vs. Computer Spiral Simulations
Some scientist have claimed that the existence of spiral galaxies
suggest there is something odd in the universe beyond our
explanation. The outer part of the spiral arms and the inner parts
should rotate at different speeds causing the spiral arms to fly
Years back, I wrote a computer program using a simple
formula to study chaos. That program produced mostly
spirals. When I varied the "seed" (starting number) by a
small amount the number of spiral arms would change as well
as their arcing. This suggests that galaxy arms do fly apart
only to regroup with a different number and a pattern. The
non-spiral galaxies might actually be between phases in the
number of spiral arms. A more focused computer simulation
would solve this.
Spirals and Chaos
My chaos program that produced spirals, as mentioned
above, produced various other patterns including some
arrangements that were random on one side and ordered on the
other, the yin-yang, and the swastika. I was surprised that
a simple equation with different seeds produced two well
known symbols along with other patterns. I lost my chaos
program long ago. But I do recall it used a very simple
reiterative formula using complex (square root of -1)
numbers and plotted the points produced at each iteration.
As so often happens in chaos mathematics, the same thing
shows up from different sources. Will other reiterative
equations produce these same patterns? Pick an equation and
try. Report your results. Where do theses results show up in