Sofia: BAS: IPhR (2009)
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Abstract |
The book is devoted to the contemporary stage of quantum mechanics – quantum information, and especially to its philosophical interpretation and comprehension: the first one of a series monographs about the philosophy of quantum information. The second will consider Be l l ’ s inequalities, their modified variants and similar to them relations.
The beginning of quantum information was in the thirties of the last century. Its speed development has started over the last two decades.
The main phenomenon is entanglement. The subareas are quantum computer, quantum communication (and teleportation), and quantum cryptography.
The book offers the following main conceptions, theses and hypotheses:
– dualistic Phythagoreanism as a new kind among the interpretations of
quantum mechanics and information: arithmetical, logical, and metamathematical one;
– Gödel ’ s first incompleteness theorem is an undecidable proposition, and consequently the second one,too.
– a partial rehabilitation of Hilbert ’ s program for the self-foundation of
mathematics;
– the dual-foundation of mathematics;
– Skolemian relativity between: Cantor ’s kinds of infinity, finiteness and
infinity, discreteness and continuity, completeness and incompleteness, etc.;
– information is a physical quantity representing the non-reducibility of a system to its parts, particularly nonaddtivity;
– there exist pure relations «by itself», which cannot be reduced to predications;
– energy conservation can and should be generalized;
– Einstein’ s «general covariance» or «principle of relativity» can and should be generalized to cover discrete morphisms where the notion of velocity does not make sense.
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Keywords | quantum information entanglement quantum computer Einstein EPR Gödel |
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References found in this work BETA
On the Einstein Podolsky Rosen Paradox.J. S. Bell - 2004 [1964] - In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press. pp. 14--21.
Discussion with Einstein on Epistemological Problems in Atomic Physics.Niels Bohr - 1949 - In Paul Arthur Schilpp (ed.), The Library of Living Philosophers, Volume 7. Albert Einstein: Philosopher-Scientist. Open Court. pp. 199--241.
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