Fractal Speed

By on


What is the maximum speed at which a fractal can be produced? 
The fractal is produced at the fractal processing speed (fractal speed), which is the speed at which a discernible fractal shape can be created. This speed also determines the speed of zooming in or magnification into the fractal and the speed of the fractal wave.
Fractal zoom


Fractal speed can be demonstrated by drawing the Koch snowflake freehand. This is rather slow and timely; a much faster method is with modern computers, as shown below. The speed is thus limited by the processing power of production. I have published early entries on the production of the fractal. The average modern computer (in 2011) cannot produce many more than 7 iterations  –  in one view or 'fractal paradigm'  – before the computer crashes. To produce or see more, we must zoom – forward and into the fractal.
The maximum zoom fractal speed must be 'Maxwell’s'  – speed of light.   
Fractal development

If this is so, then special relativity should also be consistent with the fractal, as the fractal demonstrates increasing cost with more iterations or production. In relativity, the extra—marginal—cost is mass. See the diagram below: mass or cost limits the production speed.
It may be that at the maximum fractal speed – the speed of light? –  the fractal is also at a 'perfect' state of superposition where there are no reference points –  and thus no connection to time.


Comments

Post a Comment

Popular posts from this blog

Natural fractal lake, Arethusa Pool, the worlds only?

By on
Image
Is Arethusa Pool (New Zealand) and its islands the world's only natural fractal lake? I was there with my family in January. It was a wonderful day and very exciting for me—mathematically speaking. Arethusa Pool (and its island) is on Mou Waho Island, Lake Wanaka, the South Island of New Zealand, and the South Pacific Ocean. Water (the South Pacific Ocean), land (South Island New Zealand), water (lake Wanaka), land (Mou Waho Island), water (Arethusa Pool), land (islands on Arethusa Pool); water in a puddle after rain (or when I filled it), land as small as a square centimetre inside the puddle, ..... water??   Arethusa Pool, and Lake Wanaka New Zealand 2015.   
Read more

Fractal Dimension, (Economic's) Elasticity and Complexity

By on
Image
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 margin...
Read more

ePublic Goods. Is the internet making new public goods?

By on
Image
Keywords: Public Goods, Internet, Media, Copyright, Market Failure, File Sharing, ePublic Goods An Explanation of the Mass Failure in the Market: the Internet – the Creator of ePublic Goods   First published: October 9, 2010 Abstract Media and entertainment industries are declining; profitability is down due to ‘freer computer access. Is the internet producing ‘Public goods’ from what were Private goods? With respect to these goods and the Internet, the assumption used to classify ‘Private goods' and Public goods in an economy (the degree of excludability and rivalry) was analysed, and the respective industries were tested for being Public Goods. It was concluded that these goods within the entertainment/media industries are slowly being repositioned from what is termed 'private' or 'club'/'congestion' goods to their extreme opposite, public goods. The ‘free rider problem’ of Public Goods has become the ‘free copy problem’ with respect to t...
Read more