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Showing posts with the label Fractal

The Denomination Standard: regularity in money through time and place

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The Denomination Standard (as opposed to the 'gold standard'): regularity in currency through time and place. A unit of gold is said to (give and take a little) buy the same good through time - hence the gold standard. My hypothesis is: does the denomination 'size' of fiat money (currency) buy the same goods (as opposed to the nominal size, which will differ from time to time, place to place).  How many of the lowest paper notes does it take to buy 'x' good - my case a big mac. In the developed world, it generally costs around 2 of the lowest denomination notes for a McDonald's Big Mac (2012). Of course, the amount grows the less developed the country - Sri Lanka 29. A 'standard note' (thank you to my student Paul) may stand like a 'standing wave' over time and place; nominal prices will flow (rise) through it. Difficult to find a standard good, and there are lag times, of course, as notes stay in circulation for some time in stable e...

A fractal derived theory of religion: survival

Religion is an Emergent Fractal   Structure Formed From the Life Force Survival. Blair D. Macdonald First Posted:   2013 -5 -7 Update: 2015- 12- 18 Absract This paper addresses a possible cause of religion or secular belief. It suggests it is an advanced, evolved manifestation of the life force survival. The developed human brain manages survival for—and in—the afterlife. The human mind can imagine the afterlife and so must survive; religions have evolved to meet this demand. This survival theory may also explain secular religions. 1         Introduction The fractal, far from being only exciting images and complex mathematics, is also – as I am personally discovering – an instrument of great insight that complements science and its ‘mission’ to understand and explain the workings of the universe. I have been attempting to decipher and understand this instrument; from classical eco...

Koch Snowflake and Fibonacci

This entry states that I looked at whether the Koch Snowflake has a Fibonacci number in it. For some reason, I did not publish the result. In the earlier entry, 'The Fractal Multiplier, ' I noticed that the total area is 1.6 times the area of the first triangle. It is of interest to me (the author), and of my mathematician colleague’s, that the Koch snowflake fractal multiplier is 1.6. This 1.6 is very close to (but not the same as!) the  Fibonacci or Golden ratio of 1.618 .

Fractal Time: Absolute or Relative?

This is a discussion entry based on my fractal discoveries.   I have since published in 2023:  The fractal with no observation demonstrates no time.  T he fractal  with observation   demonstrates the passing of time, not absolute time, but relative time. 1. No time: -  A fractal in an isolated superposition demonstrates no time. It is only once a reference point is provided that an observation is made - that time is time. When we have a reference point on the fractal, we 'know' our position. The modern clock itself may be a reference point—without it, we could be anywhere or at any time. Without it, we are lost in chaos. The importance of a reference point in time is just as important as any other reference—it is to 'know'. Absolute time: In this blog, I have recently explored two critical areas of science in terms of the fractal: the expanding fractal (universe) and the de Broglie wave function. In both of these entries, I had to act in some kind...

Fractal Koch Snowflake Spiral

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The Koch Snowflake Spiral 2024: last year, I published, using the following, an interpretation of Quantum Mechanics. https://www.fractalnomics.com/2023/05/fractal%20foundational%20quantum%20theory%20published%20.html International Journal of Quantum Foundations, Speculations. The Fractal Corresponds with Light and Foundational Quantum Problems   Experiment on Inverted Fractal Corresponds with Cosmological Observations and Conjectures On route to understanding if  fractals have a 'wavy' like nature , I finally put pencil to paper and drew what I'd been thinking. I have been pondering what effect a 'mutation' or change to one triangle - a dot at the apex of the triangle as shown below - would have or show on the  iterating  Koch Snowflake. I envisaged that it would spiral to infinity, as shown below. By tracing a smooth curve through the (red) 'dots' series of iterated mutant triangles, I would develop - what looks like - a kind of logarith...

Fractal Laws of information

I have published - as a page - the Laws of Information , all of which I have collected and derived from the fractal. Like a fractal itself, these laws will/should - over time - grow, develop and form shape.

Fractal Speed

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I have since published in 2023:  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 ...

Fractal Uncertainty

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  I have since published in 2023:  (Fractal)  Quantum Uncertainty Observing a (Koch Snowflake) fractal (Fig. 1 below) in superposition , p osition, scale and direction (of growth) of any one triangle is only ever known with reference to another reference point – another measurement or observation – and since there is no reference to be found in this state of ceteris paribus or isolation, there is only absolute uncertainly – of the above. In a previous entry – fractal ceteris paribus – I explained this fractal feature – independent of any knowledge of quantum theory. Can the position be determined - in the above fractal animations?

Fractal: Wave Particle Duality

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  I have since published in 2023:  This entry is one of a set of entries on the fractal and their strange (quantum-like) nature. I use the word quantum because no other area of knowledge comes close to explaining or relating to the discoveries I am making with fractal geometry. Blair 11,03,2013 Wave and particle D uality - and the fractal The entry below is a discovery, not an explanation. I (intend to) write what I see and what I expect I have found— I do not pretend to fully understand. Just as the atom can ' weirdly' be described as being both a particle and as a ‘smeared out’ wave at the same time, so too, as I shall demonstrate, can the fractal be described in such a way  - only for the fractal it is not so weird. The fractal demonstrating a (discrete) particle: The fractal is defined by  a pattern, object or shape  repeating or iterating. The Koch Snowflake (below) demonstrates this iterating - the triangle re...

Fractal Entanglement

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   I have since published in 2023:  This entry I hope adds to the discussion on quantum entanglement. Fractal Entanglement The fractal at a state of fractal superposition and in perfect isolation – with no interference from other fractals – may demonstrate the principle of (quantum) entanglement.   The 'general' fractal that I have been using to describe our reality in this blog is defined as a pattern that is the same but different at all scales. It is best demonstrated by the Koch Snowflake (below). The Koch Snowflake fractal differs from reality in that it is not 'same but different' at all scales but is rather an infinity of 'the same but  same , at all scales'. 'Same same' as there is no interference from other fractals to change any triangle's shape. The triangles are – in principle – the same; they are – in principle –  'entangled', or coupled, or connected – ...