Jared Diamond: Societal Collapse

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If you listen carefully to what Jared Diamond is saying in the TED video above, he is describing not a five part, but a six part power curve into a systemic singularity. This has been one of the core themes of discussion of this blog.  We all seem to be too close to our problems to see the commonality.  The interrogatives come into play here:

  1. Goals
  2. People
  3. Functions
  4. Forms
  5. Times
  6. Distances

Times and Distances being the basis on which the higher orders are built.

When we look at the recent economic “crisis” we see 300 trillion in currency circulating and roughly 1 trillion to 2 trillion shifting suddenly and unexpectedly.  We witnessed a systemic collapse, a singularity, a tipping point, a power curve, an exponential change, a phase transition or whatever label you want to call it.  These have been happening everywhere since Time and Distance began in different contexts and orders both in human and non-human systems.

What Jared Diamond and other alarmists are implying is that human society is now a system approaching its final singularity in this century on this planet.  We are implying that today we are experiencing a less than one percent crisis on a power curve into a singularity.  How many more iterations will the global system withstand?  Will humanity make the step into space successfully before we experience a global dark age?  How will the six or more factors in the power curve play out?

The truth to me appears to be that power curves whether they play out or not result in either a systemic climax or anti-climax followed by a systemic collapse.  Would it not be better if we experienced a systemic climax that led to us expanding into the solar system?

Systemic collapse seems to be the fashion of this generation.  Every generation looks with fascination at its own youth, maturition, reproduction and acceleration into mortality.  Some die early, some die late, but all die.  It is an irrevocable law of nature.  It is not about self-interest.  It is about what self-interest is defined as.

Related Posts:

Beyond the Singularity

Servitas and Libertas

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Systema: Geodesates as Singularities

“No one untrained in geometry may enter my house” — Plato

Over the past year I have been working with associative and relational databases attempting to find out more about how to develop a better database architecture.  This has taken me into many realms including network theory, chaos theory, state transition theory, geometry, logic, chemistry, biochemistry and physics.  Recently, I began to put these things together and I think I have had a valuable insight.  I call this insight “Geodesate Singularities”.

Geodesate Singularities regard networks as transitions between geodesates which are a group of convex polyhedrons.  Convex polyhedron networks have vertexes as nodes and edges as links.

What is of primary importance to this concept is the vertex enumeration (number of vertexes) and the polytope (number of edges per vertice) in these convex polyhedrons as geodesates are regarded as the most stable states.

First frequency Geodesates are a subset of the Platonic Solids and the Archimedean Solids:

  1. 3 edges per 4 vertices – 6 edges  – Tetrahedron
  2. 4 edges per 6 vertices – 12 edges  – Octahedron
  3. 3 edges per 12 vertices – 18 edges – Truncated Tetrahedron
  4. 5 edges per 12 vertices  – 30 edges – Icosahedron
  5. 3 edges per 20 vertices  – 30 edges – Dodecahedron
  6. 3 edges per 24 vertices – 36 edges – Truncated Cube
  7. 4 edges per 30 vertices – 60 edges – Icosadodecahedron
  8. 3 edges per 60 vertices – 90 edges – Truncated Icosahedron
  9. 3 edges per 60 vertices – 90 edges – Truncated Dodecahedron
  10. 5 edges per 60 vertices – 150 edges – Snub Dodecahedron
  11. 3 edges per 120 vertices – 180 edges – Great Rhombicosidodecahedron

Higher frequency Geodesates are triagulations of the above solids.  I recommend downloading the Mathematica Player and the Mathematica Demonstrations Project Geodesate Demonstration to view the polygons for each frequency.

Again, what is important in the Geodesates are the number of vertexes (nodes) and edges (links).

My hypothesis is when the growth of a network achieves the vertex enumeration and polytope of a geodesate at the first frequency or higher, a singularity state exists in the network order and results in a state transition of the network when exceeded.

Increasing a Geodesate’s frequency involves dividing the faces of the chosen polygon into sub-triangles:

The first frequecy subdivision is termed as 1V, second as 2V, third as 3V and fourth as 4V.

1V Icosahedron Geodesate

12 Vertexes – 12 5 Edge Polytopes

2V Icosahedron Geodesate

42 Vertexes – 12 5 Edge Polytopes – 30 6 Edge Polytopes

3V Icosahedron Geodesate

92 Vertexes – 12 5 Edge Polytopes – 80 6 Edge Polytopes

4V Icosahedron Geodesate

162 Vertexes – 12 5 Edge Polytopes – 150 6 Edge Polytopes

I think geodesate singularites have  implications for Telic, Organic, Chemic, Physic, Static and Gegonic networks.  This has implications for Ray Kurzweil’s Singularities, Malcolm Gladwell’s Tipping Points, Stuart Kauffman’s Self-Organization and Howard Rheingold’s Cooperation Theory.

Convex polyhedrons and geodesates could create and limit new organizational structures for enterprise goals, personnel, products, measures, spaces and schedules.

Related Links:

Icons: The Czerepak Framework

Beyond the Singularity

Physics: Observer as a State

Sociology: The Six Adopter Types

Icons: The Czerepak Framework

Tearing apart the Zachman Framework has yielded great results.  I have identified the core nodes and links (we won’t use the terms entities and associations any more).  The new Nodes of the Czerepak Framework are:

  1. Computers
  2. Machines
  3. Goals
  4. Observers
  5. Elements
  6. Particles
  7. Points
  8. Events

The new Links are:

  1. Operations
  2. Processes
  3. Rules
  4. Names
  5. Bonds
  6. Quanta
  7. Distances
  8. Durations

If you look at the link icons you can see what I am hypothesizing as the optimum cardinality for each.  I am thinking about this from the perspective of the Platonic solids, R. Buckminster Fuller’s work, Stuart Koffman’s work with chaos theory and Boolean networks and Albert Einstein’s own love for geometry.

The set of icons created to this point are below: