To start, I need to point to a part of chaos theory that shows the need to understand
the whole system around you, called your life!
In chaos theory, the butterfly effect is the sensitive dependency on initial conditions
in which a small change at one place in a deterministic nonlinear system can result in
large differences in a later state. The name of the effect, coined by Edward Lorenz,
is derived from the theoretical example of a hurricane's formation
being contingent
on whether or not a distant butterfly had flapped its
wings several weeks earlier.
http://en.wikipedia.org/wiki/Butterfly_effect
Since their day, every important new advance in scientific discovery has confirmed the
Marxian outlook although scientists, because of the political implications of an
association
with Marxism, seldom acknowledge dialectical materialism. Now, the advent of
chaos
theory provides fresh backing for the fundamental ideas of the founders of
scientific
socialism. Up to now chaos has been largely ignored by scientists, except as a
nuisance
or something to be avoided. A tap drips, sometimes regularly, sometimes not; the
movement of a fluid is either turbulent or not; the heart beats regularly but sometimes
goes into a fibrillation; the weather blows hot or cold. Wherever there is motion that
appears to be chaotic and it is all around us—there is generally little attempt
to come
to terms with it from a strictly scientific point of view
~~~Chaos and Dialectics
It is as yet too early to form a definitive view of chaos theory.
However, what is
clear is that these scientists are groping in the direction of a dialectical
view of
nature. For example, the dialectical law of the transformation of quantity into
quality (and vice versa) plays a prominent sole in chaos theory: "He (Von Neumann)
recognised that a complicated dynamical system could have points
of instability critical
points where a small push can have large consequences, as
with a ball balanced at
the top of a hill."
And again:
"In science as in life, it is well known that a chain of events can have a point
of crisis
that could magnify small changes. But chaos meant that such points were
everywhere.
They were pervasive." These and many other passages reveal a striking resemblance
between certain aspects of
chaos theory and dialectics. Yet the most incredible thing is
that most of the pioneers of
"chaos" seem to have not the slightest knowledge not only
of the writings of
Marx and Engels, but even of Hegel! In one sense, this provides
even more striking
confirmation of the correctness of dialectical materialism.
But in another, it is a frustrating thought that the absence of an adequate philosophical
framework and methodology has been denied to science needlessly and for
such a long time.
For 300 years, physics was based on linear systems. The name linear refers to the
fact that if you plot such an equation on a graph, it emerges as a straight line.
Indeed, much
of nature appears to work precisely in this way.
This is why classical mechanics is able
to describe it adequately.
However, much of nature is not linear, and cannot be understood
through linear
systems. The brain certainly does not function in a linear manner, nor does
the
economy, with its chaotic cycle of booms and slumps.
A non-linear equation is not
expressed in a straight line,
but takes into account the irregular, contradictory and
frequently
chaotic nature of reality.
"All this makes me feel very unhappy about cosmologists who tell us that they’ve
got the origins of the Universe pretty well wrapped up, except for the first millisecond
or so of the Big Bang. And with politicians who assure us that not only is a solid dose
of
monetarism going to be good for us, but they’re so certain about it that a few
million
unemployed must be just a minor hiccup.
The mathematical ecologist Robert May
voiced similar sentiments in 1976.
‘Not only in research, but in the everyday world
of politics and economics,
we would all be better off if more people realized that simple
systems do not
necessarily possess simple dynamical properties.’"
The problems of modern science could be overcome far more easily by adopting
a
conscious (as opposed to an unconscious, haphazard, empirical)
dialectical method. It is
clear that the general philosophical implications of
chaos theory are disputed by its
scientists.
Gleick quotes Ford, "a self-proclaimed evangelist of chaos" as
saying that chaos
means "systems liberated to randomly explore their every dynamic
possibility…"
Others refer to apparently random systems. Perhaps the best
definition comes from
Jensen, a theoretical physicist at Yale, who defines
"chaos" as "the irregular,
unpredictable behaviour of deterministic,
non-linear dynamical systems."
Rather than elevate randomness to a principle of nature, as Ford seems to do,
the new
science does the opposite: it shows irrefutably that processes that were
considered to be
random (and may still be so considered, for everyday purposes)
are nevertheless driven by
an underlying determinism—not the crude mechanical
determinism of the 18th century
but dialectical determinism.
Some of the claims being made for the new science are very grand, and with the
refinement and development of methods and techniques, may well prove true.
Some of its
exponents go so far as to say that the 20th century will be known for
three things:
relativity, quantum mechanics and chaos.
Albert Einstein, although one of the founders of
quantum theory, was never
reconciled to the idea of a non-deterministic universe. In a
letter to the physicist
Neils Bohr, he insisted that "God does not play dice."
Chaos theory has not
only shown Einstein to be correct on this point, but even in its
infancy, it is a
brilliant confirmation of the fundamental world view put forward by
Marx
and Engels over a hundred years ago.
It is really astonishing that so many of the advocates of chaos theory, who are
attempting to break with the stultifying "linear" methodology and work out a new
"non-linear" mathematics, which is more in with the turbulent reality
of ever-changing
nature, appear to be completely unaware of the only genuine revolution in
logic in
two millennia—the dialectical logic elaborated by Hegel, and subsequently
perfected
on a scientific and materialist basis by Marx and Engels. How many errors, blind
alleys and crises in science could have been avoided if scientists had been equipped
with
a methodology which genuinely reflects the dynamic reality of nature, instead
of
conflicting with it at every turn!
http://www.marxist.com/science-old/chaostheory.html
~~~Butterfly Effect and Edge of Chaos
It is clear that the disturbance to the natural
environment caused by the oil gusher
is more than the flapping of the
butterfly's wing, which represents but a small change
in the initial condition of the system. Given the change that the unprecedented oil
gusher is bringing about in the global ecosystem, this is likely to
cause a chain of events
leading to substantial large-scale phenomena.
Had this butterfly not flapped its wings, the trajectory of the system might have been
vastly different. It leads to the possibility of
"Chaos", that whatever is the most
unexpected thing at the time happens,
ie, a true "Black Swan".
As a result, nothing is predictable and even
the slightest action can
have the most complex reaction. According to
the Upanishads, some of which date
back nearly 3,000 years, "As is the
human body, so is the cosmic body.
As is the human mind, so is the
cosmic mind. As is the microcosm, so is the macrocosm.
As is the atom,
so is the universe!"
The views of the "Father of Chaos Theory" -- Edward
Lorenz (1917-2008), who was a
Meteorologist and Professor at MIT -- are
worth noting. Among some of Lorenz's famous
findings:
1. The discovery of "Deterministic Chaos" brought
about "one of the most dramatic
changes in humankind's view of nature
since Sir Isaac Newton," concluded the
committee that awarded Lorenz the
1991 Kyoto Prize for basic sciences.
The "Lorenz Attractor" is a
relatively simple attractor with complex behaviour.
This becomes the
typical characteristic of chaos: the step by step manifestation of
complexity out of simplicity.
2. The Butterfly Effect, the scientific concept that
small effects lead to big changes,
is illustrated by the Lorenz
attractor. The butterfly was originally a seagull in
Lorenz's paper written in 1963 for the New York Academy of Sciences.
One meteorologist
remarked that if the theory were correct, one flap of a
seagull's wings
would be enough to alter the course of the weather forever!
Once the
weather changes, so does the history of humankind.
By the time of his
talk at the December 1972 meeting of the American Association
for the
Advancement of Science in Washington, DC, the sea gull had evolved into
the more poetic butterfly -- the title of his talk was, "Predictability:
Does the Flap of
a Butterfly's Wings in Brazil set off a Tornado in
Texas?"
3. Every day things are chaotic, chaos leads to creativity and life.
The "Edge of Chaos" is where creativity happens!
Lorenz's discovery continues to influence the
scientific world, which has yet to grasp
its implications fully. Chaotic
systems have been recognised in all branches of science.
As
mathematicians started to unravel its mysteries, science reeled before
the
implications of an uncertain world intricately bound up with chance.
The human heartbeat is chaotic, as indeed are the stock market, the
solar system and
of course the weather. In fact the more we learn about
chaos the more closely it seems
to be bound up with nature. Fractal
structures seem to be everywhere we look: in ferns,
cauliflowers, the
coral reef, kidneys... Rather than turn its back on chaos, nature
appears
to use it and science is beginning to do the same. When will
large scale corporate
capitalism and government structures metamorphose
to embrace the butterfly effect and
make us live sustainably at the edge
of chaos? When each one of us changes!
Mahatma Gandhi said, "As human
beings, our greatness lies not so much in being able
to remake the world that is the myth of the atomic age as in being able
to remake
ourselves!"
http://www.mi2g.com/cgi/mi2g/press/250610.php
~~~The Butterfly Effect of Recognition
The Butterfly Effect,
it turns out, is an interesting notion from Chaos Theory that has
some
eye-opening implications for organizational development and change
management.
(And not, as you might be thinking, anything to do with
Ashton Kutcher.)
In 1979, a meteorological researcher named Edward Lorenz suggested
that the flap
of a butterfly’s tiny wings somewhere in South America
could set off a tornado in Texas
a month from now. He was using the
example to illustrate the idea that one tiny change
can result in a huge
impact on a large complex system—like weather patterns.
Or like organizations.
That’s because it is in the “chaos” of the small day-to-day
activities of employees and
managers that we often see the most
far-reaching and unpredictable effects
(positive or negative) on
organizations. Here are a few things about complex,
nonlinear systems that we can take from Chaos Theory:
Systems are very sensitive to
initial conditions, which set the stage for the ultimate behavior.
Systems tend to cluster their activity around and
iterate on a typical behavior, called an attractor.
Systems tend to be dissipative, meaning without a
continued driving force they cease to move.
These three ideas are really important as we look at how organizations behave and as we
seek to create a productive, engaged workforce.
The Butterfly Effect itself is not predictable in its outcome,
because it is such a tiny,
singular event. But what if you multiplied
those events exponentially, as you can do
with organizations? Then you
would begin to see many little events that have a strong,
iterative and
ongoing effect on your outcomes, consistently driving a controlled
change for the better. I probably don’t even need to say that employee recognition
can be this kind of Butterfly Effect, but I will.
Recognition is an ideal
initial event to create change in a complex system, because it is
organic and inspired, and because it is self-propagating.
The
iterative (repeating and growing) nature of
public recognition means recognition
worthy behavior is constantly being
reinforced and replicating itself, but because it is
guided by your stated values, it stays close to the attractor you have designated.
Recognition begets recognition. A healthy, well-designed recognition program becomes
a
constant driving force to keep the organization moving forward.
Recognition is a terrific change management tool because it
flourishes within parameters
you set for your company: the values and
goals that form the award criteria.
This essentially harnesses the chaos
of day-to-day activity and directs it into the
advancement of your
organizational objectives.
http://www.globoforce.com/gfblog/2013/the-butterfly-effect-of-recognition-what-we-can-learn-from-chaos-theory
~~~The butterfly effect gets entangled
A hidden partnership between two of the hottest topics in physics quantum entanglement
and chaos theory may have been uncovered by a
series of ingenious experiments with
caesium atoms. The relationship
could provide clues about where the quantum realm ends
and the classical
world begins.
Chaos theory describes how the slightest change in the starting
conditions of a system can
have dramatic effects on how it develops.
It's usually explained using the 'butterfly effect',
in which the
atmospheric changes caused by the beating of a butterfly's wings in one
location could eventually lead to the production of a tornado in
another.
Chaos is usually thought to be a large-scale phenomenon,
associated with classical physics
and absent from the microscopic
quantum realm. But now Poul Jessen, at the University of
Arizona in Tucson, and his
colleagues have found the fingerprints of chaos in a
quantum system.
Their discovery links chaos to entanglement the purely quantum
property
in which multiple particles can become inextricably
intertwined, so that making changes
to one instantly affects its
partners.
"They've brought together two sexy concepts in physics that are
usually thought to
operate in completely different regimes," says
optical physicist Nir Davidson at the
Weizmann Institute of Science in
Rehovot, Israel. "That is surprising and interesting."
Quantum kick
Jessen's team searched for signs of chaos within a set of cooled
caesium atoms, using
them as the quantum equivalent of an everyday
object that displays chaotic a child's
spinning top. Just as
the axis of the spinning top changes direction and can wobble
wildly if it is nudged, each caesium atom can be characterized by an internal
quantum
property known as spin — the direction of which will change if
it is 'kicked' by
applying pulses of a magnetic field. The goal was to
see if kicking this 'quantum top'
caused the spin to change direction
chaotically.
According
to the team's calculations, if the quantum top behaved like a classical
top,
then kicking it should produce two possible outcomes depending on
the initial
direction of its spin. If the top's initial spin direction
lay in one of three subsets
of possible directions dubbed islands of
stability — each successive kick would
knock the spin in a regular way, sending it around a stable orbit within that island.
If, however, the
initial spin direction lay outside these islands, in the 'chaotic sea',
the spin should jump around rapidly and unpredictably.
When they did the experiment, they found almost exactly that
behaviour — if the
quantum top started out in an island of stability,
its spin changed in a regular way,
but if not, chaos ruled and its spin
direction changed quickly and erratically.
"It looks like the quantum
system knows about classical boundaries and respects
them," says Jessen. Physicist Fritz Haake of Duisburg-Essen University, Germany,
was one
of the first to propose that chaotic signatures might show up in a
quantum
top, and admires the experimental achievement. "It has taken
both ingenuity and
advances in technology to demonstrate quantum chaos
this way," he says.
Tangled up
Having seen chaotic behaviour, Jessen's team then explored its possible
ties to
entanglement. Caesium atoms contain electrons that orbit a
nucleus, and it is possible
for the direction of an electron's spin to
become entangled with that of the nucleus's
spin. The team began their experiment with a set of atoms that did not display this
kind of entanglement and then checked whether kicking the atoms would provoke
the electron and nuclear spins to entangle.
"We found that atoms starting out in one of the islands of stability
remained
unentangled, but for those that started out in the chaotic
sea, the electron and nuclear
spins rapidly became entangled," says
Jessen. "This suggests that chaos may have some
fundamental connection to entanglement."
The finding has implications for building quantum computers that, in
principle, work by
closely controlling the entanglement of atomic
spins. "This underscores how hypersensitive
quantum systems are to
slight perturbations," says Jessen. "You really have to worry about
how
easily errors can be generated — which, of course, those trying to build
[such systems] have already seen."
The result also touches on a fundamental question in physics: where
does the exotic
quantum realm end and the familiar classical world
begin? The study supports long
standing ideas that there is no single
sharp boundary between the quantum and
classical worlds, says quantum
physicist Wojciech Zurek of the
Los Alamos National Laboratory in New
Mexico.
"The obvious thing to do now is to look at which classical
features emerge first
and which quantum features last longest," he says. Jessen and his team hope
to investigate how larger quantum systems
blend into the classical regime.
"It's a challenge," says Jessen. "But
we're taking our first baby steps in that direction."
http://www.nature.com/news/2009/091007/full/news.2009.980.html
***There are many ways to put all of this.
Life is entanglement and it is everywhere!
"Quantum entanglement isn't only spooky, you can't avoid it."
http://www.gizmag.com/quantum-entanglement-ubiquitous/27836
Or like the quote I like to say.
"No
man is an island. No one is self-sufficient; everyone relies on others."
From the seventeenth-century English
author John Donne.
Or even is beliefs, legends when you kind of look at them!
"The
red string of fate, also referred to as the
red thread of destiny,
red thread of fate,
and other variants, is an East Asian
belief originating from Chinese legend and is also used
in Japanese
legend. According to this myth, the gods tie a red cord around the
ankles
of those that are to meet one another in a certain situation or
help each other in a certain
way. Often, in Japanese culture, it is
thought to be tied around the little finger.
According to Chinese legend, the deity in charge of "the red thread" is believed to be
Yuè Xià Lǎ"
http://en.wikipedia.org/wiki/Red_string_of_fate
Looking in to all of this relating to your life is kind of like a Fractal Zoom but it's
a start of your journey!
(Note I went to
a vocational school in the 80's with one of Mandelbrot kids,
they are a Strange crew!)