Science > Physics > Sphere Optimizes Simplicity of Expansion-Contraction Control
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Science > Physics |
| User: |
"OsherD" |
| Date: |
02 Oct 2005 03:07:48 AM |
| Object: |
Sphere Optimizes Simplicity of Expansion-Contraction Control |
From Osher Doctorow
COPYRIGHT NOTICE
Sphere Optimizes Simplicity of Expansion-Contraction Control
Copyright By Owner Osher Doctorow Ph.D.
First Published 2005
The optimal control of anything is usually taken in engineering to
involve feedback that minimizes some cost or other "penalty" function.
In either expansion or contraction, one of the most interesting
"penalties" can be determined by direct inspection rather than
calculation, namely how many directions (in the sense of directed
vectors or just vectors since the latter involve direction by
definition) and magnitudes have to be kept track of simultaneously.
With a sphere in 3-dimensional expansion or contraction, only one
arbitrary direction, "the" radius vector, has to be kept track of, and
only one magnitude, namely the magnitude of the radius vector.
The recurrence of spherical expansion/contraction in different
scenarios of the physical Universe is so common that it argues in favor
of the Universe exerting optimal control. It is true that various
cosmological models of the universe postulate different types of
expansion from spherical, but the Universe blandly ignores such
difficulties in scenarios like radiation, explosions, implosions,
stellar collapses, various viruses, and even approximations to
spherical in cells and planets and stars.
In recent threads I pointed out that the Universe appears to have
something corresponding to Attention in human beings, not to mention
Motion and even (if Lee Smolin and some others are correct)
Reproduction via budding Universes or some such things. If it also
optimizes Control, then regardless of the question whether it is
Conscious or not (and our current difficulty in even formulating what
Consciousness is), it arguably is in a "partially living state". This
has potential value in studying viruses and the other somewhat
intermediate states of organisms like Archeozoa versus Protozoa.
The sphere or ball also has an extremely simple boundary (the sphere is
technically the boundary of a ball), and there already is considerable
evidence that boundaries have considerable importance in at least the
"regular" fields of linear programming.
Could then the "malfunctions" of the Universe such as cancer or
dangerous viruses or even some aspects of aging via Entropy be due to
boundary malfunctions? There is tantalizing evidence of this in
cancers caused by exposure to ultraviolet and other radiation and even
arguably friction. There undoubtedly are hereditary dispositions in
all of these and more, but there seem also to be boundary problems
here.
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Sphere Optimizes Simplicity of Expansion-Contraction Control |
02 Oct 2005 03:29:09 AM |
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From Osher Doctorow
This is past my bedtime, so I'll just make a comment here on spherical
englobement as a Military strategy.
I thought intuitively when the USA invaded Afghanistan and then Iraq
that spherical englobement was missing - neighboring hostile or largely
hostile nations like Pakistan, Saudi Arabia, Iran, Syria were ignored,
and it turned out that both Afghanistan and Iraq were major locations
of border crossings including both escape of Terrorists across those
borders and penetration of Terrorists from Saudi Arabia, Iran,
Pakistan, Syria into Afghanistan and/or Iraq across those borders.
I'm one of the few people who said so at the time and on the internet,
and I can try to retrieve my old postings if anybody doubts this.
It is interesting that from the viewpoint of physics in my recent
threads, there is arguably a physical and mathematical justification
for regarding spherical englobement as optimal. The science fiction
writer Smith in the 1940s (I have to look up his whole name) who wrote
the "Lensman" series was quite fascinated by spherical englobement in
space "battles" which he regarded as desirable (he worked for the
government to my recollection, though he became discouraged even in
those days by bureaucracy).
There's another aspect of this issue too: the things that prevented
spherical englobement in both the Gulf War of Bush's father and the
current Iraq situation. They included not only lack of support from
most nations regarding the invasion (which almost but not entirely
forced the choice of invading one nation rather than several) and the
question of which nations and people "engineered" this lack of support
including the U.N., but also the curious decision not to "take out"
Saddam Hussein during the Gulf War which involved both the advice of
Colin Powell and the Saudis.
One gets the impression (admittedly just intuitively in some senses)
that the Terrorists or their sponsors are playing spherical englobement
but that we're playing one-step-at-a-time Markov Chains (or else we're
not playing with a full deck :>)
Osher Doctorow
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