Showing posts from 2010

1.8 Sustainability and the Fractal

Sustainability and the fractal: This entry follows on from my fractal growth and development entries - published earlier. There is never one snowflake alike, but there are snowflakes. The fractal offers insights and helps us understand growth and development, change and evolution, then it should also help us understand sustainability . It should clarify what sustainability is. Is it real? Is it possible? Is it an illusion, or is it a delusion? Fractals, by definition are patterns that show: 'same' but 'different', or regular irregularity - at all scales. Fractals do support sustainability in one way; but not in another or the way 'we' currently associate sustainability with, the notion of keeping the environment or the economy today without compromising future generations. It maybe that the notion of sustainability is a (mathematically) non-sense. Here's why. Fractals and sustainability analysis To see why sustainability is a false statement - and

On fractals and statistics

Just what's on my mind today: What is the connection between the Mandelbrot set and the bell-shaped normal distribution curve, or any distribution for that matter? This is something I have been thinking about for some time. I am surprised that fractals are not used to describe patterns. It came to me today while on my bike to work: Fractals are an object thing, and describe the object through all scales; normal distribution or statistics need a parameter to function. example: Stars are fractal, and will not distribute without a parameter: when we add say star size, star colour or distance, we get a distribution. So I believe there is a very close relationship between the two - what is interesting is that distribution patterns are very fractal, absolutely universal. It is a goal of mine to understand this more: for there is more to it. Update Feb 2020 It was some time ago when I wrote the above; it is coming back to me know as I know more and have more questions. What I

The (fractal) God Illusion - the feeling of being watched.

The (fractal) God Illusion: This applies to the Koch Curve zoom and links to my early blog on Inflation. The following video inspired me for this insight, but the insight actually came to me while waiting in a doctors surgery - funny enough. This is a great video on fractals and the Mandelbrot set : at 4:20 min Arthur C Clark explains the infinite size of the Mandelbrot set. Two people stand at the edge of the fractal ( the Koch Snowflake), pairing into it - as if it were a tunnel or a computer screen. What if one of the people (the walker) were able to walk out into the zoom, while the other stayed out and watched (the viewer). For the walker, it would be like walking into a tunnel, and the viewer would see him or her get smaller and smaller as they walk in. Now, what if the walker were to stop, turn, and look behind. What would they see? A tunnel - with the viewer at the entrance, very small, and watching? NO. They would see infinity: they would see the infinite eye of

Fractal: Growth and Development

Update 2010-12-05 Growth and Development Take a long look at the fractals above and ask yourself: are they developing? are they growing? There appears (to me) to be no obvious, or distinguishing differences between (fractal) growth, and (fractal) development.  When describing fractals, the terms growth and or development are often used  interchangeably. As if to be a law, the fractal fact is that the two are inextricably linked - as the fractal grows, the fractal develops. development The fractal demonstrates Development : this is to do with the increase in complexity of a fractal as it iterates towards fractal equilibrium; it is a qualitative measure of fullness, completeness. growth The fractal (also) demonstrates Growth , and may be seen as an increase in either the area, or number of triangles, or even the perimeter of the snowflake - which is apparently infinite. To analyse growth (more), we need to go back and look at one of my early diagrams I 'develop

Breaking the Carbon Climate Spell with the fractal.

YouTube intro from the Author: Last Update 2010 -12-16 Here you see something I have been working with for the last 4 or 5 years and I am feeling more and more happy with it. It's still in the rough, still in the draft, a work in progress -  but the idea should be clear. I am working on a wiki for all to get involved.  It is said: 'people in glass houses (greenhouses) shouldn’t throw stones'. T he breaking the carbon climate spell - with today's telescope, the fractal. Before you begin reading this blog, can I suggest you ponder on this (fractal) thought experiment:  Imagine if you will: you have a button you can push - on or off - that will set in place your beliefs so that they will be universal and observable at all scales - and explain all. In this case, your beliefs that CO2 plays a dominate role in the greater atmosphere, in respect to temperature and is responsible for 'global warming'.   When pushed on, this belief will be the tru

Price Inflation Fractal Coastlne Paradox

       Here I hypothesise price inflation is a fractal phenomenon and is equivalent to or a real-life example of the  coastline paradox .  The coastline paradox says the measurement of a coastline is related to the length of the 'measuring stick' being used: the shorter the measuring stick, the longer the coastline - right to infinity. I say the unit of money is the measuring stick and the coastline the price of the object and therefore the size of the economy. If the currency is decreased in value the (nominal) size of the economy will exponentially increase (hyperinflate).  Veritasium: What Is The Coastline Paradox? Just what is inflation? Of course, we have the textbook answer, a general increase in the average price level - over time , but to be fractal, it must be a universal definition and go beyond the prices of goods. A fractal explanation will have to demonstrate the following - I am convinced that the general fractal does. the increase in the descriptive val

Fractal Dimension, (Economic's) Elasticity and Complexity

Update May 2017 This is by far my best idea; I have written it up in a working paper at  my  and  vixra , and named it:   Quantum Mechanics, Information and Knowledge, all Aspects of Fractal Geometry and Revealed in an Understanding of Marginal Economics. I shall post the Abstract, followed by the original post, followed by the paper. I hope to have someone collaborate and review my work in time. Abstract Fractal geometry is found universally and is said to be one of the best descriptions of our reality – from clouds and trees to market price behaviour. As a fractal structure emerges  – the repeating of a simple rule –  it appears to share direct properties familiar to classical economics, including production, consumption, and equilibrium. This paper was an investigation into whether the mathematical principles behind ‘the market’ – known as marginalism – is an aspect or manifestation of a fractal geometry or attractor. Total and marginal areas (assumed to stand fo

The Passing of Benoit Mandelbrot

Last night I was camping out with my wife  in the forests in Sweden and slept under the stars and this very wonderful scotch pine above. Apart from the romance of the setting, I went to sleep thinking over fractal explanations of (mostly) inflation of money, and it's connection to economic growth, development, and sustainability. They are really on my mind at the moment and I will write on my findings in the future in the near future. I heard this morning that Benoit Mandelbrot - the father of Fractals has died. I don't know what to think: I thought I might get to meet him someday. He curtainly hadn't made it into the mainstream: when I ask, hardly anyone knew of him or his fractals - outside maths of course. Yet he to me made what I believe the greatest discovery in human history (and I mean it) cause I am sure everything is fractral - evolution and all.  We just don't really know it yet how to use it. His name and input will only grow now - in  the very same w