Physics student presentation jan 2010 artifact gall

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This is the 13th of 23 presentations in a series introducing and outlining my hypertext book project, "Application Holy Wars or a New Reformation - A Fugue on the Theory of Knowledge. The project explores the interactions of technology and cognition in the extraordinary evolutionary history of the human species. This session begins a theoretical "interlude" providing the basis for a more speculative view of the cognitive evolution of Homo sapiens, where the remainder of the book will benefit from a deeper understanding of the interrelated theories of life and knowledge as presented in the next two sessions. My work on the book came to a halt when I tried to connect my ideas with the organizational and professional literature on the cognitive interactions of individuals and their cognitive technologies with knowledge, cognition and technologies at the organizational level. I understood organizations from a biological point of view rather than from a sociological point of view, where these views were further grounded in fundamentally different understandings of what knowledge is. It took several years and the publication of several papers before I thought I fully understood the details and implications of the different paradigms of organizational understanding. Only then could this book be finished. This interlude in the evolutionary history of humans and technology explores the fundamental relationships between knowledge and life at several levels of biological organization from single cells to complex social entities such as corporations, states and nations and how cognition plays out at each of these levels. Topics discussed in this session include: ● Life is a thermodynamically dissipative process driven by the transport of energy from sources to sinks ● The emergence and evolution of knowledge is an inseparable part of the emergence of life and the evolution of living things ● The importance of and mechanisms for sharing knowledge in the evolutionary process ● Understanding the differences and relationships between living and explicit knowledge ● Culture and the sharing of knowledge at higher levels of organization

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Fractals - A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry. If the replication is exactly the same at every scale, it is called a self-similar pattern. An example of this is the Menger Sponge.Fractals can also be nearly the same at different levels. This latter pattern is illustrated in the small magnifications of the Mandelbrot set.Fractals also include the idea of a detailed pattern that repeats itself. Fractals are different from other geometric figures because of the way in which they scale. Doubling the edge lengths of a polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the dimension of the space the polygon resides in). Likewise, if the radius of a sphere is doubled, its volume scales by eight, which is two (the ratio of the new to the old radius) to the power of three (the dimension that the sphere resides in). But if a fractal\'s one-dimensional lengths are all doubled, the spatial content of the fractal scales by a power that is not necessarily an integer. This power is called the fractal dimension of the fractal, and it usually exceeds the fractal\'s topological dimension. As mathematical equations, fractals are usually nowhere differentiable. An infinite fractal curve can be conceived of as winding through space differently from an ordinary line, still being a 1- dimensional line yet having a fractal dimension indicating it also resembles a surface. Fractal patterns have been modeled extensively, albeit within a range of scales rather than infinitely, owing to the practical limits of physical time and space. Models may simulate theoretical fractals or natural phenomena with fractal features. The outputs of the modeling process may be highly artistic renderings, outputs for investigation, or benchmarks for fractal analysis. Some specific applications of fractals to technology are listed elsewhere. Images and other outputs of modeling are normally referred to as being \"fractals\" even if they do not have strictly fractal characteristics, such as when it is possible to zoom into a region of the fractal image that does not exhibit any fractal properties. Also, these may include calculation or display artifacts which are not characteristics of true fractals. Modeled fractals may be sounds,digital images, electrochemical patterns, circadian rhythms,etc. Fractal patterns have been reconstructed in physical 3-dimensional spaceand virtually, often called \"in silico\" modeling.Models of fractals are generally created using fractal-generating software that implements techniques such as those outlined above.As one illustration, trees, ferns, cells of the nervous system,blood and lung vasculature, and other branching patterns in nature can be modeled on a computer by using recursive algorithms and L-systems techniques.The recursive nature o.

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