The Theory of Society  by Wayne M. Angel, Ph.D.

Relation Dynamics: Introduction













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The Theory of Society
  Introduction
  Evolutionary Society
  Relation Dynamics

    Introduction
    Entity Abstraction Model
    The Relation Coordinate System
    Inertia, Momentum and Force
    Relation Distance and Interaction
    Work and Conservation of Energy
    Constraints
    Lagrange's Equations
    The Hamiltonian
    Physical Interpretation

  Relation Thermodynamics
  Memetics
  Wants
  Mimetics
  Decision Making
  All the Rest of Psychology
  Operations Model
  Theory Verification
  Forecasting


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I begin building the Theory of Society with the development of relation dynamics.  I start by using the object oriented concepts from Computer Science and Systems Theory.  In order to design highly complex systems it has been recognized that a certain perspective generally referred to as the object oriented approach is highly desirable.  It makes a difference on how one divides a complex design project into a set of subtasks or components.  There are two approaches to this subdivision; 1) is to divide into groups of objects that are similar in functional description, and 2) divide into objects where the interaction between the objects has been either minimized or standardized or both.  I will use both.  I will begin this chapter with an entity abstraction model that I will define the types of components that make up an organization or society.  My overall purpose in this chapter is to develop an analytic (or mathematical) description of how the relationship between these components.

Following the entity abstraction model description I will discuss Satashi Watanabe’s InterDependence Analysis (IDA) base on information theory.  This will lead to the critical concept and definition of a relation distance between entities.  The remainder of the chapter will be devoted to the dynamics of how relation distance changes over time.

I will develop a relation dynamics that mathematically parallels the dynamics of physics.  Although, the mathematics is similar there is a significant difference in interpretation because the configuration space developed from the concept of relation distance is very different from the physical space with which physical dynamics deals. 

Although, there may be some interesting points about relation dynamics, its real value is as a step toward relation thermodynamics.  One might think of relation dynamics as the billiard table portion of organization dynamics.  One might think of the addition of relation thermodynamics of allowing us to define certain statistical parameters to a very large billiard’s table.  Within relation thermodynamics we will discover that such concepts as relation temperature, entropy, work, and power have explicit mathematical definitions that correspond to useful conceptual understanding about the behavior of organizations.  To this I will add meme dynamics and then human decision making and finally mimeme dynamics in order to complete the Theory of Society.  That’s six building blocks.  Let’s get started.

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