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Old 07-03-2011, 03:21 PM
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MonsieurM MonsieurM is offline
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I found this very insightful :

Cycles, fractal patterns, and exponential functions
If you want to understand the world as a system then you need to investigate three key components.

Fractal patterns
Exponential functions

Here are some of the authors I have studied

Fred Harrison(18 year land price cycle)
Nokolai Kondratieff (60 year price/debt cycle)
Oswald Spengler - book: "The Decline of the West" (1500-2000 civilisation cycles)
Martin Armstrong (8.6 year PI cycle, fractal patterns)
Robert Prechter (Elliott waves, fractal patterns, 300 years)
Chris Martenson (exponential functions, 10,000 years)
Most authors try and model the world with only one of these components. Martin Armstrong was the exception as he used 2 components (cycles and fractal patterns)

Winston Churchill said, "The further back you look, the further forward you can see."

So why not create a model that incorporates all three components and goes back as far as the Big Bang.

magnetic fractals

The software I use (FractInt) has this to say about magnetic fractals:
These fractals use formulae derived from the study of hierarchical lattices, in the context of magnetic renormalisation transformations. This kinda stuff is useful in an area of theoretical physics that deals with magnetic phase-transitions (predicting at which temperatures a given substance will be magnetic, or non-magnetic). In an attempt to clarify the results obtained for real temperatures (the kind that you and I can feel), the study moved into the realm of Complex Numbers, aiming to spot Real phase-transitions by finding the intersections of lines representing Complex phase-transitions with the Real Axis. The first people to try this were two physicists called Yang and Lee, who found the situation a bit more complex than first expected, as the phase boundaries for Complex temperatures are (surprise!) fractals.
One gets the feeling that perhaps FractInt's authors don't understand the science behind it any more than I do, but don't have any objections to using the formulae to make fractals. And here those formulae are:
Magnetic Fractals

Thunderbolts Forum • View topic - Fractals Hint at Higher Universal Laws

Fractals Hint at Higher Universal Laws
by junglelord »
What seemed to be flaws in the structure of a mystery metal may have given physicists a glimpse into as-yet-undiscovered laws of the universe.

The qualities of a high-temperature superconductor — a compound in which electrons obey the spooky laws of quantum physics, and flow in perfect synchrony, without friction — appear linked to the fractal arrangements of seemingly random oxygen atoms.

Those atoms weren’t thought to matter, especially not in relation to the behavior of individual electrons, which exist at a scale thousands of times smaller. The findings, published Aug. 12 in Nature, are a physics equivalent of discovering a link between two utterly separate dimensions.

“We don’t know the theory for this,” said physicist Antonio Bianconi of Rome’s Sapienza University. “We just make the experimental observation that the two worlds seem to interfere.”

Unlike semiconductors, the metals on which modern electronics rely, superconductors allow electrons to pass through without resistance. Rather than bouncing haphazardly, the electrons’ movements are perfectly synchronized. They flow like a fluid, but without viscosity.

For most of the 20th century, this was possible only in certain extremely pure metals at temperatures approaching absolute zero, cold enough to quench all motion but that of quantum particles, which interact with each other in ways that defy the classic laws of space and time.

Then, in the mid-1980s, physicists Karl Muller and Johannes Bednorz discovered a class of ceramic compounds in which superconductivity was possible at much higher temperatures. The temperatures were still hundreds of degrees Fahrenheit below zero, but it wasn’t even thought possible.

Muller and Bednorz soon won a Nobel Prize, but subsequent decades and thousands of researchers have not yielded a theory of high-temperature superconductivity. “High temperatures should destroy the quantum phenomenon,” said Bianconi, who decided to investigate another odd property of these materials: They’re not quite regular. Oxygen atoms roam inside, and assume random positions as they freeze.

“Everyone was looking at these materials as ordered and homogeneous,” said Bianconi. That is not the case — but neither, he found, was the position of oxygen atoms truly random. Instead, they assumed complex geometries, possessing a fractal form: A small part of the pattern resembles a larger part, which in turn resembles a larger part, and so on.

“Such fractals are ubiquitous elsewhere in nature,” wrote Leiden University theoretical physicist Jan Zaanen in an accompanying commentary, but “it comes as a complete surprise that crystal defects can accomplish this feat.”

If what Zaanen described as “surprisingly beautiful” patterns were all Bianconi found, the results would have been striking enough. But they appear to have a function.

In Bianconi’s samples, larger fractals correlated with higher superconductivity temperatures. When the fractal disappeared at a distance of 180 micrometers, superconductivity appeared at 32 degrees Kelvin. When it vanished at 400 micrometers, conductivity went quantum at 42 degrees Kelvin.

At -384 degrees Fahrenheit, that’s still plenty cold, but it’s heading towards the truly high-temperature superconductivity that Bianconi describes as “the dream” of his field, making possible miniature supercomputers that run at everyday temperatures.

However, while the arrangement of oxygen atoms appears to influence the quantum behaviors of electrons, neither Bianconi nor Zaanen have any idea how that could be. That fractal arrangements are seen in so many other systems — from leaf patterns to stock market fluctuations to the frequency of earthquakes — suggests some sort of common underlying laws, but these remain speculative.

“This fractal defect structure is astonishing, and there is nothing in the textbooks even hinting at an explanation.”

If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe.
— Nikola Tesla

Casting Out the Nines from PHI into Indigs reveals the Cosmic Harmonic Code.
— Junglelord.
Knowledge is Structured in Consciouness. Structure and Function Cannot Be Seperated.
— Junglelord


Inexplicable Superconductor Fractals Hint at Higher Universal Laws | Wired Science |

post#10 updated and this post

Signs and symbols rule the world, not words nor laws.” -Confucius.

Last edited by MonsieurM; 07-03-2011 at 04:48 PM.
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