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64
Physical versus Computational Complementarity I
, 1996
"... The dichotomy between endophysical/intrinsic and exophysical/extrinsic perception concerns the question of how a model  mathematical, logical, computational  universe is perceived from inside or from outside, [71, 65, 66, 59, 60, 68, 67]. This distinction goes back in time at least to Archimedes, ..."
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Cited by 20 (19 self)
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The dichotomy between endophysical/intrinsic and exophysical/extrinsic perception concerns the question of how a model  mathematical, logical, computational  universe is perceived from inside or from outside, [71, 65, 66, 59, 60, 68, 67]. This distinction goes back in time at least to Archimedes, reported to have asked for a point outside the world from which one could move the earth. An exophysical perception is realized when the system is laid out and the experimenter peeps at the relevant features without changing the system. The information flows on a oneway road: from the system to the experimenter. An endophysical perception can be realized when the experimenter is part of the system under observation. In such a case one has a twoway informational flow; measurements and entities measured are interchangeable and any attempt to distinguish between them ends up as a convention. The general conception dominating the sciences is that the physical universe is perceivable ...
WeakMeasurement Elements of Reality
 Foundations of Physics
, 1996
"... A brief review of the attempts to define “elements of reality ” in the framework of quantum theory is presented. It is noted that most definitions of elements of reality have in common the feature to be a definite outcome of some measurement. Elements of reality are extended to pre and postselecte ..."
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Cited by 14 (2 self)
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A brief review of the attempts to define “elements of reality ” in the framework of quantum theory is presented. It is noted that most definitions of elements of reality have in common the feature to be a definite outcome of some measurement. Elements of reality are extended to pre and postselected systems and to measurements which fulfill certain criteria of weakness of the coupling. Some features of the newly introduced concepts are discussed. 1 1
Quantum randomness and value indefiniteness
 Advanced Science Letters
"... As computability implies value definiteness, certain sequences of quantum outcomes cannot be computable. 1. CONCEPTUALISATION It certainly would be fascinating to pinpoint the time of the emergence of the notion that certain quantum processes, such as the decay of an excited quantum state, occurs pr ..."
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Cited by 14 (7 self)
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As computability implies value definiteness, certain sequences of quantum outcomes cannot be computable. 1. CONCEPTUALISATION It certainly would be fascinating to pinpoint the time of the emergence of the notion that certain quantum processes, such as the decay of an excited quantum state, occurs principally and irreducibly at random; and howlong it took to become the dominant way of thinking about them after almost two centuries of quasirationalistic dominance. Bohr’s and Heisenberg’s influence has been highly recognised and has prevailed, even against the strong rationalistic and philosophic objections raised by, for instance, by Einstein and Schrödinger. 1 � 2 Of course, one of the strongest reasons for this growing acceptance of quantum randomness has been the factual inability to go “beyond ” the quantum in any manner which would encourage new phenomenology and might result in any hope for a progressive quasiclassical research program. 3
Between classical and quantum
, 2008
"... The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this relationship is partly historical and conceptual, but mostly technical and mathematically rigorous, inclu ..."
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Cited by 12 (3 self)
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The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this relationship is partly historical and conceptual, but mostly technical and mathematically rigorous, including over 500 references. For example, we sketch how certain intuitive ideas of the founders of quantum theory have fared in the light of current mathematical knowledge. One such idea that has certainly stood the test of time is Heisenberg’s ‘quantumtheoretical Umdeutung (reinterpretation) of classical observables’, which lies at the basis of quantization theory. Similarly, Bohr’s correspondence principle (in somewhat revised form) and Schrödinger’s wave packets (or coherent states) continue to be of great importance in understanding classical behaviour from quantum mechanics. On the other hand, no consensus has been reached on the Copenhagen Interpretation, but in view of the parodies of it one typically finds in the literature we describe it in detail. On the assumption that quantum mechanics is universal and complete, we discuss three ways in which classical physics has so far been believed to emerge from quantum physics, namely
Age and great invention
 Review of Economics and Statistics XCII
, 2010
"... Great achievements in knowledge are produced by older innovators today than they were a century ago. Nobel Prize winners and great inventors have become especially unproductive at younger ages. Meanwhile, the early lifecycle decline is not o¤set by increased productivity beyond middle age. The earl ..."
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Cited by 10 (1 self)
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Great achievements in knowledge are produced by older innovators today than they were a century ago. Nobel Prize winners and great inventors have become especially unproductive at younger ages. Meanwhile, the early lifecycle decline is not o¤set by increased productivity beyond middle age. The early lifecycle dynamics are closely related to Ph.D. age, and I discuss a theory where knowledge accumulation across generations leads innovators to seek more education over time. More generally, the narrowing innovative life cycle reduces, other things equal, aggregate creative output. This productivity drop is particularly acute if innovators’raw ability
Ensembles and Experiments in Classical and Quantum Physics
 Int. J. Mod. Phys. B
, 2003
"... A philosophically consistent axiomatic approach to classical and quantum mechanics is given. The approach realizes a strong formal implementation of Bohr's correspondence principle. In all instances, classical and quantum concepts are fully parallel: the same general theory has a classical real ..."
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Cited by 8 (5 self)
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A philosophically consistent axiomatic approach to classical and quantum mechanics is given. The approach realizes a strong formal implementation of Bohr's correspondence principle. In all instances, classical and quantum concepts are fully parallel: the same general theory has a classical realization and a quantum realization.
What object does the wave function describe?
, 2004
"... It is shown that the wave function describes the state of the statistical ensemble E [S] of individual particles, or the statistical average particle 〈S〉. This result follows from the fact that in the classical limit ¯h = 0 the Schrödinger equation turns to the dynamic equations for the statistical ..."
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Cited by 5 (1 self)
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It is shown that the wave function describes the state of the statistical ensemble E [S] of individual particles, or the statistical average particle 〈S〉. This result follows from the fact that in the classical limit ¯h = 0 the Schrödinger equation turns to the dynamic equations for the statistical ensemble of classical particles. The idea that the wave function describes the state of an individual particle is incompatible with this result. Paradox of the Schrödinger cat and other paradoxes of the wave function reduction are freely explained, as soon as we accept that the wave function describes the state of the statistical average particle 〈S〉.
Quantum causality, decoherence, trajectories and information
, 2002
"... A history of the discovery of “new” quantum mechanics and the paradoxes of its probabilistic interpretation are briefly reviewed from the modern point of view of quantum peobability and information. The modern quantum theory, which has been developed during the last 20 years for treatment of quantu ..."
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Cited by 4 (0 self)
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A history of the discovery of “new” quantum mechanics and the paradoxes of its probabilistic interpretation are briefly reviewed from the modern point of view of quantum peobability and information. The modern quantum theory, which has been developed during the last 20 years for treatment of quantum open systems including quantum noise, decoherence, quantum diffusions and spontaneous jumps occurring under continuous in time observation, is not yet a part of the standard curriculum of quantum physics. It is argued that the conventional formalism of quantum mechanics is insufficient for the description of quantum events, such as spontaneous decays say, and the new experimental phenomena related to individual quantum measurements, but they all have received an adequate mathematical treatment in quantum stochastics of open systems. Moreover, the only reasonable probabilistic interpretation of quantum mechanics put forward by Max Born was in fact in irreconcilable contradiction
QuantumClassical Correspondence via Liouville Dynamics: I. Integrable Systems and the Chaotic Spectral Decomposition”, eprint chaodyn/9608013
"... We prove quantumclassical correspondence for bound conservative classically chaotic Hamiltonian systems. In particular, quantum Liouville spectral projection operators and spectral densities, and hence classical dynamics, are shown to approach their classical analogs in the h → 0 limit. Corresponde ..."
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Cited by 3 (0 self)
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We prove quantumclassical correspondence for bound conservative classically chaotic Hamiltonian systems. In particular, quantum Liouville spectral projection operators and spectral densities, and hence classical dynamics, are shown to approach their classical analogs in the h → 0 limit. Correspondence is shown to occur via the elimination of essential singularities. In addition, applications to matrix elements of observables in chaotic systems are discussed. I.
Quantum Mechanics As A Classical Theory I: Nonrelativistic Theory, quantph/9503020
"... The objective of this series of three papers is to axiomatically derive quantum mechanics from classical mechanics and two other basic axioms. In this first paper, Schroendiger’s equation for the density matrix is fist obtained and from it Schroedinger’s equation for the wave functions is derived. T ..."
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Cited by 3 (0 self)
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The objective of this series of three papers is to axiomatically derive quantum mechanics from classical mechanics and two other basic axioms. In this first paper, Schroendiger’s equation for the density matrix is fist obtained and from it Schroedinger’s equation for the wave functions is derived. The momentum and position operators acting upon the density matrix are defined and it is then demonstrated that they commute. Pauli’s equation for the density matrix is also obtained. A statistical potential formally identical to the quantum potential of Bohm’s hidden variable theory is introduced, and this quantum potential is reinterpreted through the formalism here proposed. It is shown that, for dispersion free ensembles, Schroedinger’s equation for the density matrix is equivalent to Newton’s equations. A general nonambiguous procedure for the construction of operators which act upon the density matrix is presented. It is also shown how these operators can be reduced to those which act upon the wave functions. 1