Bios and Chaos: similarities and differences L' Kauffman, H' Sabelli, A' Sugerman and L' Kovacevic

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Chicago Center for Creative Development (CCCD)
and University of Illinois at Chicago
Bios and Chaos similarities and differences L.
Kauffman, H. Sabelli, A. Sugerman and L. Kovacevic

• Bios Data Analyzer
• Sugerman, H. Sabelli, L. Kovacevic and L.
  Kauffman

Creation Theory and the demonstration of biotic
patterns in quantum and cosmological time series
H. Sabelli and L. Kovacevic
Bios and bipolar feedback in socioeconomic
processes scientific foundations for human
emancipation H. Sabelli
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B I O S and CHAOS
similarities and differences

• L. Kauffman,
• H. Sabelli,
• A. Sugerman
• L. Kovacevic

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Heartbeats are the prototype of bios. Turbulence
is the prototype of chaos.
Process equation At1 At g sin(At)
Bipolar feedback generates chaos and bios
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Bios-generating equations
At1
At g sin(At) where g is the gain (energy)
of the feedback At1 At sin(At J) where J
increases frequency (information) Transition from
chaos to bios is effected by an increase in
energy and/or information
J or g
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BIOTIC PATTERNS IN NATURE Heartbeats
respiration air and sea temperature galaxy
distances bases in DNA many economic series
some literary texts.
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Defining Characteristics of Bios

• Creative features (diversification, novelty,
  non-random complexity) absent in chaotic
  attractors
• Causation (internal causation in-formation)
  absent in randomly-generated statistical noise
• Asymmetry --chaos is symmetric
• Irreversibility --demonstrable in mathematical
  bios, but not in mathematical chaos
• Contiguity (continuity in discrete series)
  absent in chaos)
• Global sensitivity to initial conditions

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Bios expands its Phase Space Volume
Chaos
Bios
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Return map of Bios generated by process equation
shows 2 ? segments that do not behave as
attractors
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Chaos in three dimensions, g 4.1
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Bios in three dimensions, g 4.64
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Diversification
Phase Space Volume
expansion in Biosin contrast to convergence to
Chaotic Attractors
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Local Diversification increase S.D. with
embedding
Heartbeat interval
Embedding number of consecutive terms in each
vector
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Diversification (increase in S.D.) Diffusion
(increase distance from origin) Biotic
diversification is not solely due to chaotic
diffusion
Embedding number of consecutive terms in each
vector
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Chaos successive terms often lie across the
midline
Bios successive terms are contiguous
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Both symmetry and asymmetry are fundamental
Pasteurs cosmic asymmetry time
unidirectionality, beta decay, biomolecules,
hierarchies of size, complexity,
power. Symmetries oppositions, particles and
anti-particles, etc
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Entropy is greater for symmetric chaos than for
asymmetric bios
Calculating statistical entropy with 2, 3, 100
bins allows to decompose it into symmetry
(intercept) and diversity (slope). Ordered
series and random series have the same entropy.
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Local sensitivity in chaos the trajectory
changes but remains within the same basin of
attraction
At1 At g sin(At)
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Global sensitivity to initial conditions in bios
change in basin of attraction
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Chaos is recurrent, Bios is novel (less recurrent
than shuffled copy)
Chaos
shuffled
Bios
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• Mathematical experiments with At1 At g
  sin(At) or At1 At g sin(At J) show that
  the bios requires
• High energy action Bios occurs only at
  relatively high gain g and/or high information J
  at low g and J, recursions produces only chaos.
• (2) Bipolar opposition Trigonometric recursions
  produce bios unipolar feedback, such as in the
  logistic equation, produce only chaos.
• (3) Conservation Trigonometric recursions
  produce bios only when they contain a conserved
  term At.

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Hector Sabelli
The interaction of opposites in physical,
physiological, economic, meteorological
processes and bipolar feedback recursions (e.g.
standard map, process equation) generate BIOS,
an expansive chaotic pattern that displays
diversification, novelty and non-random
complexity, the hallmarks of creation.
B I O S
a Study of
Creation
World Scientific
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SOME EXAMPLES OF APPLICATIONS OF THE CONCEPT OF
BIOTIC FEEDBACK (bipolar, hierarchical,
energetic, informational and material)
Biological Priority and Psychological Supremacy
Medical, Psychiatric, and Sociological
applications. Priority of the objective and
supremacy of the subjective Epistemological,
Psychotherapeutic, and Political
applications Ecological priority and economic
supremacy Need for governments and economic
enterprises to be ecologically responsible and
hence for ecologists to be politically active and
conscious Priority of global processes and
supremacy of local processes act globally
(attend to global warming, not to save the
eagles) Priority of workers and supremacy of
capitalist and military classes Female priority
and male supremacy
27
 
 
 
 
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SOME EXAMPLES OF APPLICATIONS OF THE CONCEPT OF
BIOTIC FEEDBACK (bipolar, hierarchical,
energetic, informational and material)
Biological Priority and Psychological Supremacy
Medical, Psychiatric, and Sociological
applications. Priority of the objective and
supremacy of the subjective Epistemological,
Psychotherapeutic, and Political
applications Ecological priority and economic
supremacy Need for governments and economic
enterprises to be ecologically responsible and
hence for ecologists to be politically active and
conscious Priority of global processes and
supremacy of local processes act globally
(attend to global warming, not to save the
eagles) Priority of workers and supremacy of
capitalist and military classes Female priority
and male supremacy
29
 
 
 
 
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SUPREMACY
SUPREMACY
PRIORITY
PRIORITY
31
SOME EXAMPLES OF APPLICATIONS OF THE CONCEPT OF
BIOTIC FEEDBACK (bipolar, hierarchical,
energetic, informational and material)
Biological Priority and Psychological Supremacy
Medical, Psychiatric, and Sociological
applications. Priority of the objective and
supremacy of the subjective Epistemological,
Psychotherapeutic, and Political
applications Ecological priority and economic
supremacy Need for governments and economic
enterprises to be ecologically responsible and
hence for ecologists to be politically active and
conscious Priority of global processes and
supremacy of local processes act globally
(attend to global warming, not to save the
eagles) Priority of workers and supremacy of
capitalist and military classes Female priority
and male supremacy
32
 
 
 
 
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SUPREMACY
SUPREMACY
PRIORITY
PRIORITY
34
SUPREMACY
SUPREMACY
PRIORITY
PRIORITY
35
SOME EXAMPLES OF APPLICATIONS OF THE CONCEPT OF
BIOTIC FEEDBACK (bipolar, hierarchical,
energetic, informational and material)
Biological Priority and Psychological Supremacy
Medical, Psychiatric, and Sociological
applications. Priority of the objective and
supremacy of the subjective Epistemological,
Psychotherapeutic, and Political
applications Ecological priority and economic
supremacy Need for governments and economic
enterprises to be ecologically responsible and
hence for ecologists to be politically active and
conscious Priority of global processes and
supremacy of local processes act globally
(attend to global warming, not to save the
eagles) Priority of workers and supremacy of
capitalist and military classes Female priority
and male supremacy