Quantum Darwinism

Quantum Darwinism
''Quantum Darwinism is a new theory recently
developed by physicist Wojciech Zurek . . .''
'' The new theory of Quantum Darwinism may provide such
explanatory power at a deeper, pre-biological phase of our
emergent reality. It may provide a key explanation of how the
classical macroscopic world containing all objects with which
we are familiar may have arisen from the weird
quantum world of particle physics underlying it.''

The most widely accepted interpretation of quantum phenomena
was first articulated by Bohr. It is most succinctly understood
as the implications of a number of axioms:

1) For every physical system there is a corresponding
mathematical object called a state vector that has
no objective physical existence.
This state vector is the most complete source of
information that exists concerning the physical system.

2) The outcome of any measurement on a physical system
can be predicted by performing a specific mathematical
operation on its state vector.

3) The outcome of any measurement process on
a physical system can only be predicted as a probability
for obtaining that result.

4) Once a measurement is made the state vector assumes
a state such that the same measurement immediately
reapplied to this state has 100% probability of achieving
the previous measured result.

5) The state vector evolves in time according to a continuous,
deterministic formula except when a measurement occurs and
then it jumps to the state described in 4) above.

These axioms are all about mathematical manipulation of
mathematical objects and are not a vision of physical reality;
in fact the first axiom explicitly states that the mathematical
objects of the theory have no physical embodiment.

Until now no one has found an explanation of quantum phenomena
consistent with the every day world we experience.
Quantum Darwinism is such a theory and attempts to explain
the mechanisms responsible for transforming quantum reality
from its weird abstract mathematical realm into the common sense
classical reality experienced in our every day lives.

Pure mathematics and physics are becoming ever more closely
connected, though their methods remain different.
One may describe the situation by saying that the mathematician
plays a game in which he himself invents the rules while the while
the physicist plays a game in which the rules are provided by Nature,
but as time goes on it becomes increasingly evident that the rules
which the mathematician finds interesting are the same as those
which Nature has chosen. …
Possibly, the two subjects will ultimately unify, every branch
of pure mathematics then having its physical application,
its importance in physics being proportional to its interest in mathematics.
/ — Paul A. M. Dirac /
Last edited by socratus; Dec 21st, 2018 at 02:02 AM..
Allowed Quantum states are vastly more numerous
then those we experience in classical physics and are
the cause of much of quantum theory’s weirdness.
. . . Schrödinger’s Cat’ . . .
'Schrödinger's Cat' paradox can only arise if the cat-box system
is an isolated quantum system.
That is to say not interacting with its environment in any way.
Misconceptions around the idea of isolation may be
at the basis of the 'measurement problem'.
. . . 'alive' or 'dead'.
This process is now understood to be analogous with axiom
4 above but rather than a wave function 'collapse' we should
view decoherence as the preferential extinction of quantum
superpositions and the survival of classical states due
to interactions that may be human measurements buy
are typically environmental interactions.
My opinion
Schrödinger’s Quantum-Cat is NOT an isolated quantum system.
Basically any measurement can only result in some special values
associated with 'pointer states'. Pointer states are thus associated
with the type of measurement being performed.

My opinion
When a wave function 'collapse' we should view that as appearance
of the ''pure point-state'' of quantum particle (quantum's duality problem)
The resulting theory of Quantum Darwinism is relatively straightforward:
1) . . .
2) . . .
3) . . ..
4) . . .
While this process may explain the emergence of classical physics
from quantum physics it may not be clear where the Darwinian part comes in.
Zurek explains his motivation in naming Quantum Darwinism:

Using Darwinian analogy, one might say that pointer states are most ‘fit’.

Still we might quibble and demand a more formal comparison of
Quantum Darwinism to the defining mechanisms of a Darwinian process.

In what sense can Zurek’s theory be seen to be a Darwinian process?

1) Reproduction.
Information concerning the state of a quantum system is copied with variations.
The variations most directly concerning the information’s survival concerns
the degree to which it is entangled or in superposition with its environment (i.e. non-classical).

2) Information concerning superposition of point states does not survive decoherence
as a result of interactions with the environment and only information concerning
non-entangled, classical pointer states survive as imprints on the environment.

My opinion.
a) Using Darwinian analogy, I say that point-state of quantum particle
is most ‘fit’ to explain philosophy of Quantum theory.

“We are not talking about waves or particles, what we are talking about
is a quantum of action in a field. This thing we call a particle is a quantum of action
that becomes more focused by a process we have not described and this thing
we call a wave is the potential in the field.
How can a wave be quantized?
The wave is a precise ratio of potential.”
/ ― Rick Delmonico, The Philosophy of Fractals /

b) How can a wave be ''quantized'' to ''a point-state'', to be particle?
How quantum ''point-particle'' can create wave ?
Is quantum particle a ''point, string, ball . . .'' ?

c) '' Information concerning superposition of point states . . .''
/ Zurek /
Information as energy cannot be destroyed . . .
then according to Zurek’s Quantum Darwinism theory
information can be in two states:
a) ordinary (wave-state) and b) super-ordinary (point-state)
Quantum Darwinism:
1) reproduction of information not material.
2) no competition for supply of resources
3) no sexual reproduction

. . . first point is somewhat confusing as it is now well accepted
that information always has a physical representation.

the Darwinian algorithm is implemented in a wide variety of fields outside of biology

In other words the evolutionary products of Quantum Darwinism may be
the classical reality in which all other Darwinian processes operate and
produce their own evolutionary products.

What is ''quantum'' ?
My opinion.
Planck / Einstein described ''quantum'' as ''quantum of action'': E=hf
where ( h) is a ''quantum of action''- particle and (f) its frequency.
(wave / particle duality - simultaneously )
Uhlenbeck and Goudsmit described how this action is possible: E=h*f
( h bar = h/2pi )
Attached Images
Quant of action.png (2.5 KB, 1 views )

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