...The Mathematics of Nature!

"Brian Gaff" wrote in message
om...


And this is on topic because?

I know it's about a thousand words down in my post
but ~somewhere it becomes on topic to space policy.

I believe our space goals should be as carefully designed
as the spacecraft, using the latest greatest science, that's all.
So I try to begin by introducing a rather new and very useful
field of math and run with it as I can trying to determine
what should be the 'ideal' goal for NASA and our future.

I don't know why everyone seems so hostile to the notion of
trying to come up with a goal for NASA that could increase
it's popularity and funding? The current goal is incredibly
lousy, so bad it doesn't even deserve a grade.


Besides, you cannot invent new tech and sell it unless you have a market to
sell it to.


My point is that from an evolutionary approach, the idea is to combine
two complimentary activities so that they produce something far more
valuable than either one could produce alone. So much more valuable
that a market must follow. That much abused term synergy needs
an 'equation' so to speak, a rote method for producing the maximum
possible effect, and in an abstract form applicable to any discipline
at all. I think that would be just peachy to accomplish, and I believe
Complexity Science has accomplished that, and much more.

Since 'it's my bag' I will continue to prattle on about it until I find
a way to get the idea across in fifty words or less. As you can see
I'm not there yet, but I wouldn't think anyone minds too much
if I continue practicing on everyone until I get it right.


Brian

--
Brian Gaff....Note, this account does not accept Bcc: email.
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"Jonathan" wrote in message
...


"David Spain" wrote in message
...

William Mook writes:

Put them together. Its a self-propagating loop! Technology makes
money. Money makes technology. They go together and the goal is to
have a multiplier (x) greater than one per iteration

V(n+1) = x * V(n)


Wrong mathematics for modeling real world relationships.

That 'multiplier' would of course violate the laws of physics, as
there would always be some loss in each and every transformation.
Or another way to put it, you would need to find technology
being sold for a loss and the reverse. Violating all laws of
market systems. No more useful than that mythical perpetual
motion machine.

The real world is non-linear in character. Which
requires a completely different field of mathematics.
With the idea of ...merging...these two different
systems into one that produces more than the sum
of the two.

We must use the mathematics of self organizing systems.
formerly called Chaos Theory, now called Complexity Science.

Concept
http://www.calresco.org/concept.htm

The only way this can be done, in the real world, is if the
new system is able to produce emergent properties which
increase the total worth of the whole beyond the losses.
Emergent properties are generally higher and much more valuable
than the properties of the two original systems. Such as
intelligence emerging from animals etc.

Nature shows how this is done.

In short, this is accomplished by merging two /complimentary/
behaviors which create a new or third system which can
self organize and produce emergence, or a naturally
evolving system. Not a cyclic model like turning money into
technology into money into technology...etc. But merging
money and technology into something more valuable than either.
Only /emergent properties/ can overwhelm the losses in the interactions.

Nature shows us what kinds of behavior compliment each other
in a way that can produce self organization and emergence.

What is emergence
http://www.calresco.org/sos/sosfaq.htm#2.3

The behaviors being merged must be qualitative opposites. Fitting the
general definition of static and chaotic attractors. For instance, the
fixed (static) realm of the 'rule of law' would fill one attractor.
While it's qualitative opposite, 'freedom' would fill the random (chaotic)
attractor. When these two distinct attractors interact in an unstable
equilibrium with each other (through elections) then the third
fluid like (dynamic) attractor called....democracy...can
spontaneously form.

Which is a system which can produce more than it's sum and
in a sustainable way. It can adapt and self organize (grow)
just as any life form.

Or another example is the static behavior of condensation
and the chaotic behavior of evaporation, producing a cloud
with it's emergent features like lighting, hurricanes etc.

Or with living systems, when the static attractor of genetics
and the chaotic attractor of mutation are in an unstable
equilibrium, than selection can take place. Creating
an adaptive, stable system which constantly creates
more than it's sum. Even more than all the energy required
to keep such far from equilibrium systems running.

Think of self organization as the opposite of entropy...extropy.

Self-Organization & Entropy - The Terrible Twins
http://www.calresco.org/extropy.htm

Or the Fourth Law of Thermodynamics, commonly called
Darwinian evolution. The only way to 'beat' the Second Law
is through evolving systems.


3.2 What is self-organized criticality (SOC) ?

"The ability of a system to evolve in such a way as to approach
a critical point and then maintain itself at that point. If we assume
that a system can mutate, then that mutation may take it either
towards a more static configuration or towards a more changeable
one (a smaller or larger volume of state space, a new attractor).
If a particular dynamic structure is optimum for the system, and the
current configuration is too static, then the more changeable configuration
will be more successful. If the system is currently too changeable
then the more static mutation will be selected. Thus the system can
adapt in both directions to converge on the optimum dynamic
characteristics."
http://www.calresco.org/sos/sosfaq.htm#2.11



The only way a system can adapt in both directions is if it
resides midway between it's own qualitative opposites.
Neither static or chaotic, but both at the same time.
Neither matter or energy, both at the same time.

All visible and living order in the universe is produced by the
following 'equation', relationship or system structure.


.................................................. ...............................................
Neither classical or quantum behavior, but both at the same time
so that one can't tell which dominates the whole.
.................................................. ...............................................


As in a cloud, a democracy or life. In short, 'certainty' as in objective
methods, is best found ....AT....one extreme or the other. Either
classical or quantum realms. All higher order exists where both realms
are equal partners, where the two are chaotically entangled.
Or, where 'certainty' is lowest, then of course 'uncertainty' is highest.
This uncertain realm is called the 'complex realm'. Because of course
both classical and quantum methods would need to be applied
at the same time.Which is impossible. The simple realm would
of course be either/or classical or quantum behavior. Simpler since
it requires only one realm at a time to model.

Don't you see how simple the universe truly is???

Complexity....uncertainty....initiated by random interactions
not classical OR quantum relationships, are the ultimate source
of all order and life.

THE ONE PLACE PRECISION OR REPEATABILITY CANNOT EXIST
are where the ultimate answers are found.

The mathematics of ..uncertainty/complexity... must be learned
to deal with the real world. Until you do, you're still scientifically
mired in the Dark Ages.


It's all here, full online text
http://necsi.org/publications/dcs/


So then, let's use this new fangled mathematics out for a spin.

What is the 'equation' or solution for Utopia?
(yes, an attempt to reduce from the general to the specific)

Utopia would be that which forms from the unstable equilibrium
of the ultimate human static and chaotic attractors.
The ultimate chaotic realm could be filled by human imagination, as
nothing can exceed that. And the static realm would be that
which would enable our imagination to become reality.

Reducing.....yields a static attractor where our technology and
resources are such that can enable any practical goal we need
or desire. Practical in the sense of being within the realm of
possibility.

Reducing....yields an endless, cheap and clean source of energy
so that all tools and technologies can be exploited, and every human
can fulfill their aspirations.

Reducing....yields solar energy with unlimited potential for growth
so that every place on earth can become part of the 'grid'.

Reducing .....yields... SPACE SOLAR POWER.

Goddammit!

Executive Summary
NASA'S SPACE SOLAR POWER EXPLORATORY
RESEARCH AND TECHNOLOGY (SERT) PROGRAM
http://www.nap.edu/openbook.php?record_id=10202&page=1

Space-Based Solar Power
As an Opportunity for Strategic Security
http://www.acq.osd.mil/nsso/solar/SB...sesment0.1.pdf

War Without Oil: A Catalyst For True Transformation
http://www.au.af.mil/au/awc/awcgate/cst/csat56.pdf

The Promise and the Challenge of
Space Solar Power
http://www.rish.kyoto-u.ac.jp/jusps/KA-2.pdf

Space Energy Inc
http://www.spaceenergy.com/s/Default.htm

An evolving system takes on a life of it's own and invariably settles
on the best possible solution to any given problem,....i.e.
(CAN"T FAIL)! Space Solar Power, as a goal, can
self organize if we take two specific systems and merge
them into one that can create more than it's sum.

The Dept of Energy and NASA, each having as their
primary goal to develop the energy source of the future
should have all the needed qualities to take on a life
of it's own and SAVE THE FUTURE!

And here we all sit, with NASA desperately needing a new goal.
With the planet desperately needing a new energy source.
With Space Solar Power within reach.
The parts to create a new wondrous future are all here. So close
a little kick in the ass should do the trick.

UTOPIA IS AT OUR FINGERTIPS.

It's merely a matter of following the mathematical lessons
of Nature.

Space Solar Power could turn America into the next
energy "Saudi Arabia", solve global warming, stabilize the
oil market and bring energy to every place on Earth.

Please Write Your Representative
A few people can make a difference, especially if a system
is near a tipping point.
https://writerep.house.gov/writerep/welcome.shtml


Jonathan


s




As opposed to:

V(n+1) = (aV(n) + c) mod m

whe

m 0
0 a m
0 = c m
0 = Vo m (and if c=0, Vo 0)

whereby it helps if...

1. c and m are relatively prime
2. a-1 is divisible by all prime factors of m
3. a-1 is a multiple of 4 if m is a multiple of 4.

;-)

Dave

http://en.wikipedia.org/wiki/Linear_...tial_generator