Principia Complexica
Mathematical and Computation Roots

Crutchfield's computational
mechanics

Advantages

Based on computational understanding (mathematical logic, theory of computation)

Provides the notion of the edgeofchaos

Uses statistical measures (We can make measurements)

Shows the way to representing the informational processes underlying Quantum
Mechanics

Lucidates the relationship between information and statistical mechanics

Disadvantages

Uses statistical measures (e.g., cannot blunt Prigogine's and Rosen's arguments
against reductionism)

Limited functional abstraction

Does not explicitly address the problem of Quantum Mechanics

Bohm's
ontological quantum theory

Advantages

Alternative to Quantum Mechanics: explains quantum effects

Clearly makes sense in the physical sense, gives you reason to hope that
we can find something about what underlies the quantum level

Disadvantages

Limited abstraction

No notion of complexity

Category Theory (John Baez
Robert
Rosen)

Advantages

Functions of Functions: Functors (Processes of Processes)

Abstraction/Generalization of Process Structure

Mathematical approach to go beyond reductionism

Disadvantages

No computational constructs

Obtuse

Fontana's compositional
dynamics

Advantages

Based on proof theory and lambda calculus, models of computation

Has symbolic notion of composition and decomposition

Lucidates the notion of organization

Disadvantages

Limited abstraction of process structure?

Limited notion of levels of complexity

Prigogine's
Laws of Chaos

Advantages

Based on dynamics, the foundation of physics

Has functional composition and decomposition

Functional analysis of coupling and decoupling (Poincaire resonances)

Lucidates time, irreversibilty, entropy and how to get order out of chaos.

Disadvantages

Limited abstraction

Limited information/computational representation

Limited notions of levels of complexity
Conceptual Roots

The edgeofchaos region

Langton (phase transition  life)

Crutchfield, Mitchell (physical computation)

Kaufmann (autocatalysis)

Braeiss (optimal capacity of network)

Levels of Complexity

David West Keirsey (what is the context?)

Langton (edge of chaos)

Hegel (three  thesis (chaos), antithesis (order), synthesis (edge of chaos))

Quantum Replication

Why big bang

Crutchfield (physical computation)

Functional Shift

Adam Smith, Darwin (function, form)

Gould (preadaptation, punctuated equilibrium)

Prigogine (Poincaire's resonances)

Rosen (functional composition, decomposition)

Levels of Selection Process

Leo Buss (levels of selection)

Prigogine (chemistry selection)

Smolin (physical selection)

MaynardSmith (linear encoding)
Keirsey's Comparative Complexity

Advantages

Disadvantages

No precise mathematics or computational models, except vague combination
of work of above

Underlying process still unexpressed (random vacuum, replication of quantum
information, encoding of information in rest mass and charge)

No clear representation of processes of processes.

Methodology of analysis requires understanding all levels of complexity.
Assumptions

MetaUniverse composed of random communication "states" (but nonState,
because they don't contain invariant information)

Rest "Mass" has some type of invariant information, but is encoded as part
of a process.

The invariant information in "Mass" encodes information for communication
and can be transmitted

The creation of "mass" is some type of "replication" process, the replication
process is also encoded as part of the State.

There is no absolute space, all states are relational and depend on process.

The relationship between State and energy(in spacetime) is constant.

Invariant information is increasing in our universe
Definitions
State The information content of physical
existence. (a pattern of existence: reality)
state (a physical bit  a physical difference
(0 or 1)) in the our world or metauniverse
You can think of our universe as being created by the infection of a
"reality virus" A set of random bits of information that happen to
encode replication of itself in a random sea of state: energy. This replication
spreads and replaces randomness (chaos) with unfolding order.
Massive Replicative/Dissipative
Structures
