LL. Thus finally the cognitive elements appears, but in very
surprisingly
setting
Yours, andrei
Andrei Khrennikov, Professor of Applied Mathematics,
Int. Center Math Modeling: Physics, Engineering, Economics, and Cognitive Sc.
Linnaeus University, Växjö, Sweden
My RECENT BOOKS:
http://w
ritical... But I spent so much time by trying
to understand what people are talking about. The output is ZERO.
all the best, andrei
Andrei Khrennikov, Professor of Applied Mathematics,
Int. Center Math Modeling: Physics, Engineering, Economics, and Cognitive Sc.
Linnaeus University, Växjö
I just complete the statement of Hans: the really relativistic treatment
of
quantum phenomena is done in the framework of quantum field theory, QFT.
yours,
Andrei Khrennikov, Professor of Applied Mathematics,
International Center for Mathematical Modeling
in Physics, Engineering
can guess about information exchange between quantum systems
and the measurement devices.
Roughly speaking, this is the beginning and the end of the information story:
one does not need further theorizing about
the "meaning" of information.
yours, andrei
Andrei Khrennikov, Pr
Dear Marcus,
>>I would ask for clarification on whether you speak of "information" in
>> your examples as something that has innate "meaning" or something that is
>> innately >>"meaningless" . . . which has been a core issue in earlier
>> exchanges. If this issue of "meaning" versus
Dear all,
I think that Wheeler's "it from bit" was the great step in physics, it was the
basis of modern information interpretations
of QM, due to Zeilinger and Brukner, and Quantum subjective probability
interpretation of QM, QBism of Fuchs.
yours, andrei
Andrei Khrenniko
Dear Joseph,
you are going toward quantum probability theory where
probabilities are determined by vectors; moreover, the vectors
belong to complex Hilbert space, i.e., roughly speaking each probability
has not only the direction but even the phase, andrei
Andrei Khrennikov, Professor of
long ago in so called quantum tomographic approach of Vladimir
Manko, but in this way quantum theory loses its simplicity and
clarity, yours, andrei
Andrei Khrennikov, Professor of Applied Mathematics,
International Center for Mathematical Modeling
in Physics, Engineering, Economics, and Cognitive
Andrei Khrennikov, Professor of Applied Mathematics,
International Center for Mathematical Modeling
in Physics, Engineering, Economics, and Cognitive Science
Linnaeus University, Växjö-Kalmar, Sweden
From: fis-boun...@listas.unizar.es [fis-boun
direction and content. But overall,
> energy conservation mandates that these virtualities of creation
> and destruction of virtual financial particles arising out from
> economic uncertainty, should cancel and leave only the
> advancement of the real economic outcome. Could this
> metaphor be developed a little bit further? Ideas of ascendancy
ent into heat energy. When we
> contextualize this
> with the competition aspect of capitalism, we see that the
> players
> are invited to be less and less energy efficient. WE can
> then also
> note:
>
> Chaisson, E.J., 2008. Long-term global heating from ener
is mailing list
> fis@listas.unizar.es
> https://webmail.unizar.es/cgi-bin/mailman/listinfo/fis
>
Andrei Khrennikov, professor of applied mathematics,
director of International center for mathematical modeling in physics,
engineering and cognitive science, University of Vaxjo,
Sweden
to say how much one can proceed in such a framework. However,
it is clear that the informational component plays an important role in modern
economics.
Andrei Khrennikov, professor of applied mathematics,
director of International center for mathematical modeling in physics,
engineering and
provides a better coordinate system, but I do not think that this was
the end of information coordinate story.
With Best Regards,
Andrei Khrennikov
Director of International Center for Mathematical Modeling in Physics,
Engineering, Economy and Cognitive Sc.,
University of Vaxjo, Sweden
from teh material one.
Of course, the main problem is as Soren Brier emphasized that we do not
have at the moment the real understanding of information. It is always
reduced to the definition of probability, through entropy.
With Best Regards,
Andrei Khrennikov
Director of International Cente
ot; approach (The Cosmic Landscape, 2005). Breaking the
> continuous
> at the Planck scale means also a new hint on \"where\" we can situate
> fundamental laws of nature \"physically\" --a question not responded
> yet in
> the discussion, for my taste.
>
v. E (3)
71 , N. 1, 016138-1 -8 (2005).
A. Yu. Khrennikov, Quantum-like brain: Intereference of
minds. BioSystems, 84, 225-241 (2005).
With Best Regards,
Andrei Khrennikov
Director of International Center for Mathematical Modeling in Physics,
Engineering, Economy and Cognitive Sc.,
Universit
applied
for the investigation of flows of information in cognitive and social
systems, since a p-adic metric gives quite natural description of the
ability to form associations.\"
With Best Regards,
Andrei Khrennikov
Director of International Center for Mathematical Modeling in Physics,
Engineering, Economy and Cognitive Sc.,
University of Vaxjo, Sweden
___
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Dear Arne,
You wrote:
> You are dicussing the possibility to classify fields and information
> as REAL - and \"existing\" on an equal level as of REALITY - as
opposed to> something else...experience I guess.
> Does this means you both both think it is consistently possible to
> classifyi
aws of
nature which are not less real than physical laws. Our role is
minimal - interaction with information fields and the latter are real.
> > With Best REgards, Andrei Khrennikov
Reply of John:
> > That is basically the position that I advocate. I go a step
further, however, and a
\"=
> margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left:
> 0px; \"=
> >gravity). I do not think that there is some reality behind
> such DIV> margin-botto=
> m: 0px; margin-left: 0px; \">speculations. There is the huge gap
> between qua=
> ntum
Dear Steven,
I was not able to reply you earlier. But I think that I should do this
even so late after your Email. You posted problems which are very
important (at least for me).
> 1. Quantum probability functions are either directly equivalent to
> probability functions in Shannon\'s infor
Dear Hans,
Thank you very much for extremely interstring discussion on
Schrodinger\'s ideas (where can I read this?). I really like this point
that our mathematical model of space-time, namely the real continuum, is
heavily involved into foundations of QM. We took the space model of
classical
ay be the real fundamental theory is purely classical and QM is just an
approximation of such a theory.
So the postulate on the completeness of QM is not so innocent, it is not
just a philosophic subject...
With Best Regards,
Andrei Khrennikov
Director of International Center for Mathematical Modeli
is
> very us=
> eful=20
> for a human being to belong to a group. This insight also drags the
> celibra=
> ted=20
> truth conception into disreputation.
> Of course it is impossible to \"prove\" such an approach
> - as i=
> t is=20
> impossible as find an e
Dear collegues,
This is a part of my discussion with Ted Goranson. In the previous Email
to the FIS- list Ted Goranson wrote:
>> >> Any number of such ontological layers are
>> >> possible and I suppose as system scale increases
>> >> (physical, chemical, biological and so on...
nonlocality.
My conjecture is that an experiment combining both a and b would be
never performed. These conditions are a kind of uncertainty relations.
With Best Regards,
Andrei Khrennikov
Director of International Center for Mathematical Modeling in Physics,
Engineering, Economy and Cognitive
Dear Michel.
I shall try to give a more detalied explanation to the problem of
addition of probabilities and relation of #quantum and classical
probabilities.#
> Dear Andrei,
> I cannot understand how the rule of addition of probabilities is
> violated. Does it mean that when A and B are e
; cosmic ray, or atmospheric molecule, etc. Zurek has called that
> process
> of annihilation of the Schrodinger evolution of an object by
> interaction
> with the environment decoherence . For macroscopic quantum objects,
> the
> duration of unitary evolution, before another
ere you can write
P(A=+1,B=+1|o(A),o(B))= 1/2 cos^2 (a-b)/2, where a,b are angles
determining orientations A and B; P(A=-1,B=+1|o(A),o(B))=
1/2 sin^2 (a-b)/2, and so on. We tokk this answer from QM. But you would
not be able to find a single probability distribution for A,B,C.
Therefore I speak ab
r, it is common
to say that S_AB has the same statistical properties as S_CD. This is so
called FAIR SAMPLING ASSUMPTION. I thing it is not justified, see
http://www.arxiv.org/abs/quant-ph/0309010
[Experimental Scheme to Test the Fair Sampling Assumption in EPR-Bell
Experiments]
The main problem
Dear Srinandan,
Your question about teh difference in statistical data for commuting and
noncommuting observables is extremely important for probabilistic
foundations of QM. First I recall my and yours points:
> On 20-May-06, at 11:13 AM, Andrei Khrennikov wrote:
>the real p
Dear Michael,
The question on the difference between classical and quantum
probabilities is really fundamental for QI. The situation is not so
simple as it was described in the Email below. Yes, I agree that if we
consider one fixed experimental arrangement then we obtain the usual
classical
f e.g. individual
electron. For stationary states - yes, but nonstationary?
With Best Regards,
Andrei Khrennikov
Director of International Center for Mathematical Modeling in Physics,
Engineering, Economy and Cognitive Sc.,
University of Vaxjo, Sweden
___
fi
e probabilistic behaviour of
cognitive systems.
P.S. But if you like nonlocality, you could proceed with such an
interpretation. There is nothing wrong, since the mathematical apparatus
is correct in any way!
With Best Regards,
Andrei Khrennikov
Director of International Center for Mathem
n of
Bell\'s inequality demonstrated that QM produces nonclassical
correlations.\"
Michel:
>Philosophical:
>Could we say that the entanglement of two particles reduces to the fact
>that a measure done on the first particle indicates something on the
>second particle just becaus
11th FIS Discussion Session:
QUANTUM INFORMATION
Andrei Khrennikov & Jonathan D.H. Smith
1. QUANTUM INFORMATION ---MYTHS AND REALITY
(Andrei Khrennikov)
Quantum information is science about processing of information by
exploring some distinguishing features of quantum systems,
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