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QUANTUM BIOS

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Wootters and Zurek (1979)'s quantitative formulation of wave-particle duality. ... De Broglie's wave and particle duality. Schr dinger equation describes waves ... – PowerPoint PPT presentation

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Title: QUANTUM BIOS


1
QUANTUM BIOS
Hector Sabelli and Lazar Kovacevic Chicago
Center for Creative Development
2
  • Hawking. A Brief History Of Time.
  • . "quantum theories are deterministic in the
    sense that they give laws for the evolution of
    the wave with time. Thus if one knows the wave at
    one time, one can calculate it at any other time.
    The unpredictable, random element comes in only
    when we try to interpret the wave in terms of the
    positions and velocities of particles. But maybe
    this is our mistake maybe there are no positions
    and velocities, but only waves. It is just that
    we try to fit the waves to our preconceived ideas
    of positions and velocities. The resulting
    mismatch is the cause of the apparent
    unpredictability.

3
EVIDENCE FOR SCHRÖDINGERS WAVE AS A REAL,
OBJECTIVE PHYSICAL ENTITY Einstein (1905) atoms
are real photoelectric effect demonstrates
particle properties in light. de Broglie (1924)
all particles (micro or macroscopic) exhibit wave
features. Schrödinger (1926) formulates
deterministic wave equation 1926 - present
Schrödingers wave equation predicts experimental
results with greater accuracy than possible in
macroscopic mechanics. Wootters and Zurek
(1979)s quantitative formulation of
wave-particle duality. Mittelstaedt, Prieur, and
Schieder (1987)s experimental demonstration of
simultaneous coexistence of wave and particle
properties.
4
Hypothesis SCHRÖDINGERS WAVE IS A REAL,
OBJECTIVE PHYSICAL ENTITY that may be interpreted
as an standing wave (Schrödinger, or as
topological invariant (Kauffman), etc. LOOKING AT
ITS EVOLUTION IN TIME IS HENCE A REAL QUESTION.
Possibilities Random Periodic Chaotic
Biotic
5
 
BIOTIC PATTERNS Physiological heartbeats
respiration bases in DNA. Climate air and ocean
temperature Nile river floods. Cosmological
galaxy distribution along the time-space
axis. Ecological animal population abundance
Human many economic series some literary texts.
6
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7
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
8
Bios-generating equations At1 At g
sin(At). Transition from chaos to bios
J or g
9
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

10
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
11
Chaos is recurrent, Bios is novel (less recurrent
than shuffled copy)
Chaos
shuffled
Bios
12
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13
Bios
Chaos, process
Random
Chaos, logistic
14
Diversification
Phase Space Volume
expansion in Biosin contrast to convergence to
Chaotic Attractors
15
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16
Schrödingers equation
  • A fundamental equation of quantum physics
    that describes how the wavefunction of a quantum
    system evolves over time

17
  • The Schrödinger equation plays the role of
    Newton's laws and conservation of energy in
    classical mechanics

18
An electron wave packet confined in a
box Time-dependent Schrödinger equation for a
wavepacket representing an electron of average
energy 5 eV confined to a region of 1E-10m (
atomic dimensions).
?2
Boundaries
?2
Time
Time
Space
Initial Gaussian wavepacket
Space
Ripples
Causal (non-random) and creative quantum
mechanics when the wave packet hits a boundary,
it bounces and interferes with itself, generating
complex waves that show biotic features. Waves
show phenomena such as interference or
diffraction. Probabilities do not. ?2 is not a
probability.
19
Time-dependent Schrödinger equation for a
wavepacket representing an electron of average
energy 5 eV confined to a region from x0 to
x1E-10m. Time is stepped in units of
dt(1E-16s). Program adapted from S. E. Koonin,
Computational Physics (1986). Time series at
the midpoint between barriers.
20
Local Diversification (increase in variance with
embedding)
Time-dependent Schrödinger equation for a
wavepacket representing an electron of average
energy 5 eV confined to a region from x0 to
x1E-10m.
21
Time series
Space series
Time-dependent Schrödinger equation for a
wavepacket representing an electron of average
energy 5 eV confined to a region from x0 to
x1E-10m.
22
Time-dependent Schrödinger equation for a
wavepacket representing an electron of average
energy 5 eV confined to a region from x0 to
x1E-10m. Time is stepped in units of
dt(1E-16s). Program adapted from S. E. Koonin,
Computational Physics (1986). Time series at
the midpoint between barriers.
1 to 5,000 iterations
23
Time-dependent Schrödinger equation for a
wavepacket representing an electron of average
energy 5 eV confined to a region from x0 to
x1E-10m. Time is stepped in units of
dt(1E-16s). Program adapted from S. E. Koonin,
Computational Physics (1986). Spatial series.
500 points
24
Integration of the time-dependent Schrödinger for
the wavepacket of a free quantum entity, using
the algorithm described by J.L. Richardson,
Visualizing quantum scattering on the CM-2
supercomputer, Computer Physics Communications 63
(1991) 84-94. Time series recorded at the top of
the wave packet.
1 to 10,000 iterations
25
Integration of the time-dependent Schrödinger for
the wavepacket of a quantum entity, using the
algorithm described by J.L. Richardson,
Visualizing quantum scattering on the CM-2
supercomputer, Computer Physics Communications 63
(1991) 84-94. Time series recorded at the fixed
point in space. Wave is bounded by two high
potential barriers of V2E.
1 to 2,000 iterations
26
  • The time series generated by the Schrödinger
    equation shows biotic features
  • Diversification
  • Novelty
  • Arrangement
  • Asymmetry
  • Complexes
  • Consecutive recurrence

In contrast to random, periodic and chaotic
patterns
As expected in a deterministic, non-random pattern
27
  • THREE VIEWS ON QUANTUM PHYSICS
  • Probabilistic Copenhagen interpretation Bohr,
    Heisenberg. Uncertainty is indeterminism
    physical reality is probabilistic, essentially
    random observations and observers determine
    results.
  • Deterministic Einstein, Schrödinger, Bohm, Bell.
  • Biotic simple periodic physical processes
    generate complex biotic patterns at each level of
    organization (quantum, planetary, cosmological,
    biological, economic, emotional).

28
COPENHAGEN INTERPRETATION OF QUANTUM PHYSICS
(logical positivism leading to philosophical
idealism and irrationalism ) 1900s atoms and
subatomic particles are mathematical conventions.
Heisenberg (1927) unity of energy and time as
action interpreted as uncertainty and
indeterminism (undefined). Bohr (1927) wave
and particle properties co-exist as mutually
exclusive possibilities (complementarity). Quantum
entities have no trajectories (Bohms theory
describes quantum phenomenology via
trajectories). Probability often interpreted as
randomness. Born (1928 )s probabilistic
interpretation of Schrödingers wave equation as
probability of finding quantum particle does not
imply randomness.
29
IDEALISTIC PHILOSOPHICAL SPECULATIONS CLAIMED AS
QUANTUM PHYSICS Nature is irrational. Electrons
make choices. The universe is conscious.
Schrödingers wave function exists in the
observers mind. The properties of a quantum
system cannot be said to exist if they have not
been measured. Whether a given property of a
given physical system in a given state may be
asserted, denied, or regarded as meaningless,
depends on the measuring context. IN CONTRAST
I personally like to regard a probability wave
as a real thing, certainly as more than a tool
for mathematical calculations. ... how could we
rely on probability predictions if we do not
refer to something real and objective? Max Born
30
Quantum Physics three interpretations
Creative Bios
31
Quantum Physics three interpretations
32
Deterministic and probabilistic conceptions
nature. Time (X axis) versus complexity (Y axis).
Many current models macroscopic irreversible
decay
33
feedback
Creative development simple generic causes
(quantum action, periodicity, feedback) create
complexity (e.g. bios). Bios Periodic processes
generate complex biotic patterns at each level of
organization (quantum, planetary, cosmological,
biological, economic, emotional).
34
Isometry analysis of the distribution of galaxies
along the Z (time and space) axis.
Non-random causation
Novelty
Complexity
Shuffled copy uniform distribution and more
recurrence (novelty).
Recurrence plot few recurrences clustered in
separate complexes
35
Hector Sabelli
B I O S
a Study of
with contributions by L. Kauffman L.
Carlson-Sabelli, A. Sugerman M. Patel J. V.
Messer and L. Kovacevic.
Creation
Hector_Sabelli_at_rush.edu Chicago Center for
Creative Development  http//creativebios.com
World Scientific
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