Chaos and Economics


Published in 2000; updated on June 27 2019

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Chaos Quotes

Johann Wolfgang von Goethe (1749-1832): "Conversations of Goethe with Eckermann and Soret;" Thursday, February 24, 1831.

"The difficulty in nature, is to see the law where it is concealed from us, and not to be misled by phenomena which contradict our senses."

In Lanker, B. (1989) "I Dream a World: Portraits of Black Women Who Changed America." Stewart, Tabori Chang, NY, p. 164.

Septima Clark: "I have great belief in the fact that whenever there is chaos, it creates wonderful thinking. I consider chaos a gift."






My Fragments - From my personal point of view

For the complete list, please see Tamari .


MF17:     Our words are the clothes for our soul and our clothes are the words of our body.   Added 10 August 2010.


MF21:    Give me a nail and I will hang my God. (In the spirit of Archimedes.)    Added 1 August 2013.


MF22:    When the money illusion stops, the Gresham Law starts to operate.    Added 28 July 2014.


MF30:  Chaos is order mixed up in time machine.    Added 27 March  2017.  






To those interested in this website:

This website is directed at people who are interested in dynamic systems in everyday life, especially with regard to economics. Most of the material written in this website is innovative and original. The approach here is entirely personal and NOT academic; you are invited to read it and judge for yourselves.

Many of you will understand a small fraction of the website's content, and a few will understand a great deal, but the website is meant to interest a wide range of people. Those lacking the relevant education will get something out of the photos and graphs that speak for themselves. Those with the relevant education will enjoy the content, which is straightforward and yet quite abstract and challenging.

For example, the Tamari Attractor is a system of equations that, the author believes, describes the economy of every country. It is possible, using this system of equations, to analyze each nation's own specific parameters and predict its economy, and compare one state’s economy to another’s on the same basis.

The website is written in a condensed manner, introducing only what is essential. Readers who wish to delve deeper into these subjects may refer to the many relevant books and links presented in the website, or use Google, Britannica or Wikipedia.

The website consists of ten pages. The first page (home) is introductory; the last page introduces the author. The remaining eight pages deal with various subjects in the two categories of chaos and economics. Each page functions as a separate, stand-alone unit, and presents the author's contribution to the subject. Since the content of this website is basically theoretical, it has been made as simple and user-friendly as possible.


The eight pages:


Tamari attractor  The Attractors page shows the main attractors in chaos literature (from an empirical point of view), including the economic attractor ; Tamari attractor.

fractal tree  The Dreams page presents the human body, the head and brain, and also discusses dreams from the fractalization point of view.

Kepler Poligons  The Metaphors page shows the importance of mental pictures in creating new ideas.

pattern The Patterns page shows patterns and phenomena of fractals in nature.



The Nest  The Ecometry page presents the writings of Ben Tamari, and his method of analyzing and forecasting countries’ economies.

economic cycles  The Cycles page relates to economic/trade/business cycles, through only empiric findings.

Eco software The Economic Simulator enables the study of a country’s economy using the Eco software program.

Stocks Cycles The Stocks page introduces speculative cycles, which are empirically present in stock markets.







Chaos theory is a popular name for the theory of Dynamical Systems (DS), mainly in non-linear systems. (Scientifically, a chaotic DS is characterized by sensitivity to initial conditions. This sensitivity allows only for short-term forecasts and no more – such as predicting the weather, even though we are dealing here with deterministic systems that are describable through mathematical equations. As such, they should appear as orderly systems but actually appear to lack order; i.e., as being chaotic.) The theory covers many aspects of the life of DSs. They all share the same characteristics of being born, living and dying.






Note 1, 31 August 2018   Note on Democracy and Globalization

Democracy and Globalization:

There is a direct link between democracy and globalization – and it’s a favorable one. The problem lies in democracy’s slow reaction to the side effects of globalization – mainly concerning the distribution of national wealth. Every small instance of leverage grows larger with globalization, i.e., globalization magnifies the leverage; thereby disrupting the distribution of national wealth.

Money (like water) naturally wanders from a place where it has low value to a place where it has high value (whereas gravity causes water to flow from a high location to a low location). The medicine in either case is tax-ology/terrace-ology – the taxation of surplus leverage (similar to terraces that level out the ground and mitigate the effect of gravity). Unfortunately, democracy is not immune to lobbyism; removing lobbyism from democracy would immunize the state against globalization’s negative influence on democracy.


 small stoper 

Note 2, 31 August 2018  Note on Physics and Economics

The inherent possibility of choice is the common denominator between economics and physics (quantum theory). According to Neil Turok, “Everything, every particle, is exploring all of its possible positions all the time.”

“Choice” is the (theoretical) bridge between economics and physics, whereas economics is physics with pricing or, alternatively, physics is economics without pricing. “Pricing” is what enables the choice of each particle and each person. We know how the individual “prices” his choices, and we don’t yet understand how the particle does it.

human reproduction from a bird’s-eye view in 50 minutes:
 Neil Turok

small stoper

N  Note 3, 27 June 2019  Note on Virtual Money, Currency and Fraud

1.  Money [in its modern form] is a deed of ownership [according to its denomination] over economic output; a kind of floating registry (if chess simulates war, then the game of musical chairs simulates the market). Just as no one [who’s not a crook] would dare establish an alternate land registry to the [land and apartment registration] authorities, coining alternate money as a virtual currency that does not belong to the authorities is an act of fraud.

2.  Currencies like Libra and Bitcoin are not actually money but coupons [or chips]. Only the government has the right and duty to issue currency that is called, and used as, “legal tender” in each sovereign nation. The entire globe is covered with currencies [that are legal tender in their countries] according to the nations issuing them (up until a few decades ago, counterfeiting currency was punishable by death; today most countries settle for incarceration).

3.  Just like a casino [which issues chips], a community [which issues coupons], a supermarket [which issues stored-value cards] or various e-commerce sites [which issue virtual “currency” of different types], all of this “illegal tender” is profitable and will continue to exist as long as the customers – that’s us – are losing money.

4.  Governments don’t have alternates – not for their flags, their lands, their laws or their currencies – unless you’re a pirate and have conquered part of the kingdom at your disposal [e.g., ISIS – what radical Islam did to Syria and Iraq, the coiners of virtual currency are doing to the world’s central banks…and those being robbed just keep on sleeping].

5.  Electronic money: Money [legal tender] is as much a mainstay of human society and culture as flags, laws, languages and currencies. The medium used as money has gone through many incarnations [corresponding with the evolution of writing, and not coincidentally] – products such as livestock, animal skins, copper grains, silver and gold, metal coins and paper – and now the time has arrived for money ownership to be electronically identified and marked. Some e-money is legal tender [like in a bank account] and some e-money is chips [defined as property by the tax authorities], the presentation of which for commercial trade purposes—as if they were legal tender—is pure fraud, even though legislative bodies have not yet pronounced it so.

6.  “It [Facebook] received a tool for printing money” ( Wrong – it received a tool for defrauding its customers.








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N Orrell, D. (2018) "Quantum Economics: The New Science of Money." Icon Books Ltd. Kindle Edition.
[ Quantum vs Relativity approach in Economics, you can compare this book to Ben Tamari 1997 "Conservation and Symmetry Laws and Stabilization Programs in Economics." ]

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Index sites







Science (Gleick) (Wolfram)