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Simulated Interpretation of Quantum Mechanics

Miroslav Súkeník, Jozef Šíma

Published Nov 1, 2017• 0 citations
OpenAlex

Abstract

The paper deals with simulated interpretation of quantum mechanics. This interpretation is based on possibilities of computer simulation of our Universe.

Related papers

Quantum Logic and the Interpretation of Quantum Mechanics

R. I. G. Hughes

There is no such thing as “The Quantum Logical Interpretation of Quantum Mechanics”. Rather, there is a cluster of interpretations, all of which can be described as “quantum logical”. Here I provide a general framework for discussing interpretations of this kind, and then locate various suggestions within it. The presentation owes much to van Fraassen (see, in particular, van Fraassen 1974 ); his “modal interpretation” is one of those I discuss, along with those of Jauch, Putnam and Kochen. I begin by rehearsing some orthodox quantum theory. Within quantum mechanics we deal with a set 0 of measurable quantities, orobservables(position, momentum, components of spin and so on). Experiment can determine the value of an observable for a given system: the values so determined will be real numbers. A maximal amount of information about what the result would be for a given system, whatever experiment we chose to perform on it, is available once we know thestateof the system.

PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association•Jan 1, 1980•4 citations

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What does it mean to say that an event is physically possible?One might say, in the spirit of everyday usage, that an event is physically possible if its occurrence is consistent with the laws of physics.But which laws of physics, starting from when?Here things get tricky.In a Laplacian universe governed by the fully-deterministic laws of classical electrodynamics and mechanics, exactly one future is consistent with any complete and precise specification of initial conditions.Given an incomplete, imprecise specification -the best that human observers can achieve, even in principle -many futures may appear to be physically possible, but only one of them actually is.In this kind of universe, our intuitive notion that many different outcomes of an experiment, for example, are physically possible is just an ignorancedriven delusion.Philosopher of physics Ruth Kastner's new book, The Transactional Interpretation of Quantum Mechanics, subtitled The Reality of Possibility, takes on this question of the meaning of physical possibility in the theoretical context defined by relativistic quantum field theory.Lest this seem daunting, be assured that this is a philosophical book; aside from Chapters 5 and 6 dealing with technical objections, it emphasizes ontological questions and employs the physics -all of which is clearly presented for the non-expert -as a way to raise them.The ontological questions that it raises, not just 'what is possibility?' but also 'what is actuality?' and 'what are space and time?' underlie not just physics but any theory of action.The Transactional Interpretation of Quantum Mechanics is, therefore, not just about the interpretation of quantum mechanics; it is about how 'nature makes its choice' in any circumstance, and how 'the actual arises from the potential' (205) as a result.After briefly introducing quantum theory and its various interpretations in Chapter 1, Kastner addresses, in Chapter 2, the essential preliminary question of what is to count as an acceptable scientific explanation.The divide between realists and instrumentalists about quantum theory -or between 'ontic ' and 'non-ontic' approaches

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Abstract Quantum mechanics is a remarkable formalism for studying problems in the microscopic domain, and nobody has reasonably contested its power. Nevertheless, in spite of the many interpretations which have been proposed, its true meaning is far from being clear. The aim of this preliminary paper is to show that it is possible to conceive within a classical framework an interpretation of quantum mechanics and to make its limits of validity precise.

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A A Grib

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Entropy•Feb 21, 2020•18 citations
There is no such thing as “The Quantum Logical Interpretation of Quantum Mechanics”. Rather, there is a cluster of interpretations, all of which can be described as “quantum logical”. Here I provide a general framework for discussing interpretations of this kind, and then locate various suggestions within it. The presentation owes much to van Fraassen (see, in particular, van Fraassen 1974 ); his “modal interpretation” is one of those I discuss, along with those of Jauch, Putnam and Kochen. I begin by rehearsing some orthodox quantum theory. Within quantum mechanics we deal with a set 0 of measurable quantities, orobservables(position, momentum, components of spin and so on). Experiment can determine the value of an observable for a given system: the values so determined will be real numbers. A maximal amount of information about what the result would be for a given system, whatever experiment we chose to perform on it, is available once we know thestateof the system.
What does it mean to say that an event is physically possible?One might say, in the spirit of everyday usage, that an event is physically possible if its occurrence is consistent with the laws of physics.But which laws of physics, starting from when?Here things get tricky.In a Laplacian universe governed by the fully-deterministic laws of classical electrodynamics and mechanics, exactly one future is consistent with any complete and precise specification of initial conditions.Given an incomplete, imprecise specification -the best that human observers can achieve, even in principle -many futures may appear to be physically possible, but only one of them actually is.In this kind of universe, our intuitive notion that many different outcomes of an experiment, for example, are physically possible is just an ignorancedriven delusion.Philosopher of physics Ruth Kastner's new book, The Transactional Interpretation of Quantum Mechanics, subtitled The Reality of Possibility, takes on this question of the meaning of physical possibility in the theoretical context defined by relativistic quantum field theory.Lest this seem daunting, be assured that this is a philosophical book; aside from Chapters 5 and 6 dealing with technical objections, it emphasizes ontological questions and employs the physics -all of which is clearly presented for the non-expert -as a way to raise them.The ontological questions that it raises, not just 'what is possibility?' but also 'what is actuality?' and 'what are space and time?' underlie not just physics but any theory of action.The Transactional Interpretation of Quantum Mechanics is, therefore, not just about the interpretation of quantum mechanics; it is about how 'nature makes its choice' in any circumstance, and how 'the actual arises from the potential' (205) as a result.After briefly introducing quantum theory and its various interpretations in Chapter 1, Kastner addresses, in Chapter 2, the essential preliminary question of what is to count as an acceptable scientific explanation.The divide between realists and instrumentalists about quantum theory -or between 'ontic ' and 'non-ontic' approaches
While historically many quantum-mechanical simulations of molecular dynamics have relied on the Born-Oppenheimer approximation to separate electronic and nuclear behavior, recently a great deal of interest has arisen in quantum effects in nuclear dynamics as well. Due to the computational difficulty of solving the Schrödinger equation in full, these effects are often treated with approximate methods. In this paper, we present an algorithm to tackle these problems using an extension to the many-interacting-worlds approach to quantum mechanics. This technique uses a kernel function to rebuild the probability density, and therefore, in contrast with the approximation presented in the original paper, it can be naturally extended to n-dimensional systems. This opens up the possibility of performing quantum ground-state searches with steepest-descent methods, and it could potentially lead to real-time quantum molecular-dynamics simulations. The behavior of the algorithm is studied in different potentials and numbers of dimensions and compared both to the original approach and to exact Schrödinger equation solutions whenever possible.