Loading...

PPT – QUANTUM BIOS PowerPoint presentation | free to view - id: 9e745-ZGU1Y

The Adobe Flash plugin is needed to view this content

QUANTUM BIOS

Hector Sabelli and Lazar Kovacevic Chicago

Center for Creative Development

- 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.

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.

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

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.

(No Transcript)

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

Bios-generating equations At1 At g

sin(At). Transition from chaos to bios

J or g

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

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

Chaos is recurrent, Bios is novel (less recurrent

than shuffled copy)

Chaos

shuffled

Bios

(No Transcript)

Bios

Chaos, process

Random

Chaos, logistic

Diversification

Phase Space Volume

expansion in Biosin contrast to convergence to

Chaotic Attractors

(No Transcript)

Schrödingers equation

- A fundamental equation of quantum physics

that describes how the wavefunction of a quantum

system evolves over time

- The Schrödinger equation plays the role of

Newton's laws and conservation of energy in

classical mechanics

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.

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.

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.

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.

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

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

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

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

- 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

- 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).

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.

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

Quantum Physics three interpretations

Creative Bios

Quantum Physics three interpretations

Deterministic and probabilistic conceptions

nature. Time (X axis) versus complexity (Y axis).

Many current models macroscopic irreversible

decay

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).

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

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