Scientific & Mathematical Explorations

don lehman jr.

This website contains the results of my scientific and mathematical pursuits over the last 4 decades (1978 - 2018). As an amateur mathematician-scientist, my sole motivation was and is to fulfill my innate nature. Internal passions led me to search for patterns of behavior. Creative frenzies ultimately coalesced into a Theory of Attention. One hypothesis of the theory: Tapping into the natural mathematical rhythms of Attention provides humans with their most pleasurable experiences.

How did the theory arise? Personal research culminated in articles, notebooks and treatises. These creations were produced in discrete Mega-Pulses of sustained Attention that lasted for seasons and even years. Each of these Scientific Mega-Pulses resulted in multiple notebooks, each of which has multiple chapters or articles. The earlier Scientific Pulses laid the theoretical foundations for my Theory of Attention.

Rather than organize the articles and notebooks into more 'logical' patterns, I am leaving them in chronological order. Following is a description and link to each of the Scientific Mega-Pulses.


I: Data Stream Momentum (1994) The first collection of 5 Notebooks (#1>5) develops the potentials of the Living Algorithm, The articles produce insights and derive equations that ultimately provide the basis for Data Stream Dynamics, which is so important for my Theory of Attention. This unique mathematical system generates some models that shed light on abusive relations, the conversion experience, the influence of boredom on civilization, and the effective use of will to change habit patterns, including diet.


II: Directionals: Content, Context & Beauty (1994) The second collection of 5 Notebooks (#6-10) is a mathematical exploration of the decay-based central measures that were derived in the first work. Some beautiful equations, which ravel and unravel, furl and unfurl, actually turn into a beautiful picture-equation that mimics nature.


III. The Creative Pulse (2002) The third collection of 3 Notebooks (#11>13) is an extension of the discoveries of the mathematics of behavior that were laid out in the first book. It develops a new notion - the power of sustained Attention, which results in the Creative Pulse. A feature of Data Stream Dynamics, this mathematical model makes distinct predictions about the nature of the Zone, whether athletic, intellectual, artistic, or emotional, positive or negative.


IV: Root Beings & The Internal Structure of Numbers (1995, 1999) This collection of 4 Notebooks (#21>24) is a mathematical study of iterative equations based in infinite continued fractions. These mimic the quest for mastery or even enlightenment. Mathematical proofs indicate that rationals, irrationals, and patterned transcendentals, all belong to the same family of numbers.


V: The Triple Pulse & Attention Dynamics (2010-2012) This collection of 8 Notebooks (#32>39) extends the insights of earlier Scientific Pulses. They establish patterns of correspondence between a mathematical system (Data Stream Dynamics (DSD)) and many scientific facts from living behavior, biology and evolution. DSD derives from the Living Algorithm and is based upon and inspired by the same architecture of constructs as Newtonian dynamics. The cross-disciplinary strength and stability of this Math/Fact Matrix indicate that Living Systems employ the Living Algorithm as a computational interface to derive dynamic meaning from sensory and ideational data streams.


VI. The Realm of Attention (2016-2018) The primary goal of this collection of 4 Notebooks (#40>43) is to provide support for the hypothesis that there is a Realm of Attention that is on a par with the Material Realms, i.e. Subatomic and Atomic. The Living Realm exists at the intersection of the Material Realms and the Realm of Attention. The Realm of Attention has its own mathematical system, Data Stream Dynamics. It seems that the Rhythms of Attention are entrained to the rhythms of Data Stream Dynamics. These naturally occuring rhythms exert an influence on behavior, biology and evolution.


VII. Life's Information Digestion System (2020-2021) The primary goal of this collection of 7 Notebooks (#44>50) is to provide support for the hypothesis that living systems have an Information Digestion System (ID system) that is on a par with our physiological systems. Extending insights from Spiral Time (Notebook #1), we develop the notion that Life's two types of systems, i.e. info and material, operate in different dimensions. The ID system operates in Time's Vertical Dimension, while Matter operates in Time's Horizontal Dimension.


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