## Posts

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, which were 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. 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 support sustainability in one way but not in another or the way we currently associate sustainability with keeping the environment or the economy today without compromising future generations. It may be that the notion of sustainability is (mathematically) nonsense. Here's why. Fractals and sustainability analysis To see why sustainability is a false statement and doesn't hold—at least in

### 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? I have been thinking about this for some time. I am surprised that fractals are not used to describe patterns. It came to me today while I was biking to work: Fractals are objects that describe the object through all scales; normal distributions or statistics need a parameter to function. For 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 and absolutely universal. It is a goal of mine to understand this more, for there is more to it. Update Feb 2020 I wrote the above some time ago, but it is coming back to me now as I know more and have more questions. I am talking about the diffe

### 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 doctor's surgery - funny enough. This is a great video on fractals and the Mandelbrot set. At 4:20, 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) could 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 the v

### 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 has to do with the increase in complexity of a fractal as it iterates towards fractal equilibrium; it is a qualitative measure of fullness and completeness. growth The fractal (also) demonstrates Growth and may be seen as an increase in either the area, number of triangles, or even the perimeter of the snowflake - which is apparently infinite. To analyse growth (more), we must look back at one of the early diagrams I 'developed' (above).

### 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 everyone to get involved.  It is said: 'People in glass houses (greenhouses) shouldn’t throw stones'. T he breaking of 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 everything. In this case, your beliefs are that CO2 plays a dominant role in the greater atmosphere, with respect to temperature and is responsible for 'global warming'.   When pushed on, this bel

### Price Inflation Fractal Coastlne Paradox

Here, I hypothesise that price inflation is a fractal phenomenon 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, 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 must demonstrate the following - I am convinced that the general fractal does. The increase in the descriptive value plac

### 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 academia.edu  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. We slept under the stars and this wonderful scotch pine above. Apart from the romance of the setting, I went to sleep thinking about fractal explanations of (mostly) money inflation and its connection to economic growth, development, and sustainability. They are really on my mind at the moment, and I will write about my findings soon. I heard this morning that Benoit Mandelbrot - the father of Fractals, has died. I don't know what to think: I thought I might meet him someday. He certainly hadn't made it into the mainstream: When I asked, hardly anyone knew of him or his fractals—outside maths, of course. Yet he made what I believe to be the greatest discovery in human history (and I mean it) because I am sure everything is fractal—evolution and all. We just don't really know how to use it yet. His name and input will only grow in the same way (funny enough) as the fractals he founded. If I (and I

### Fractals - Marginal Analysis of the Koch Snowflake

Marginalism and Marginal Analysis are derived from the fractal (?) Update May 2017 This is by far my best idea; I have written it up in a working paper at my academia.edu 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, and then the paper. I hope to have some collaboration 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 – repeating a simple rule – it appears to share direct properties familiar to classical economics, including production, consumption, and equilibrium. This paper investigated whether the mathematical principles behind ‘the market’ – known as marginalism – is an aspect or manifestation of a fractal geometry or attractor. To