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Bulletin of the American Physical Society

A Neutrosophic Logic View to Schrodinger's Cat Paradox

Florentín Smarandache, Victor Christianto

Published Oct 17, 2008• 1 citation
OpenAlex

Abstract

This article discusses Neutrosophic Logic interpretation of the Schrodinger’s cat paradox. We argue that this paradox involves some degree of indeterminacy (unknown) which Neutrosophic Logic could take into consideration, whereas other methods including Fuzzy Logic could not. For a balanced discussion, other interpretations have also been discussed.

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The Neutrosophic Logic View to Schr¨ odinger's Cat Paradox

Florentin Smarandacheand, Vic Christianto

This article discusses Neutrosophic Logic interpretation of the Schrodinger’s cat paradox. We argue that this paradox involves some degree of indeterminacy (unknown) which Neutrosophic Logic could take into consideration, whereas other methods including Fuzzy Logic could not. For a balanced discussion, other interpretations have also been discussed. 1 Schr¨ odinger equation As already known, Schr¨ odinger equation is the most used equation to describe non-relativistic quantum systems. Its relativistic version was developed by Klein-Gordon and Dirac, but Schr¨

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The Neutrosophic Logic View to Schr\"{o}dinger Cat Paradox, Revisited

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The present article discusses Neutrosophic logic view to Schr¨odinger’s cat paradox.We argue that this paradox involves some degree of indeterminacy (unknown) whichNeutrosophic logic can take into consideration, whereas other methods including Fuzzylogic cannot. To make this proposition clear, we revisit our previous paper by o eringan illustration using modified coin tossing problem, known as Parrondo’s game.

Bulletin of the American Physical Society•Mar 17, 2010•0 citations

Three perspectives on Schrödinger’s cat

John G. Loeser

The resolutions to the paradox of Schrödinger’s cat engendered by three major perspectives on quantum mechanics—quantum logic, the many worlds interpretation, and the Copenhagen interpretation—are discussed. The core of each perspective is revealed in the process. Each resolution to Schrödinger’s cat has a counterpart which solves the logical paradox known as the unexpected hanging. The rather striking parallels serve to emphasize several points. First, the quantum paradox is an epistemological and not a physical one. Second, the three interpretations mentioned, unlike some others, are faithful to this understanding. And third, the pitfalls in these two paradoxes have a somewhat universal character.

American Journal of Physics•Dec 1, 1984•5 citations

The paradox of Schrodinger's cat

C N Villars

Erwin Schrodinger first described the thought-experiment which has since become known as 'the paradox of Schrodinger's cat' 51 years ago. In recent years, popular accounts of quantum mechanics have tended to adopt one or other of the philosophically most extreme solutions to this paradox, i.e. the consciousness hypothesis or the many worlds interpretation. The author attempts to redress the balance by describing what he takes to be the orthodox solution to the paradox which explains the paradox, without recourse to such counterintuitive notions as a cat simultaneously dead and alive or a universe continually splitting into multiple worlds, as being due to a misapplication of the quantum formalism.

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Comment on ‘‘Three perspectives on Schrödinger’s cat’’ [Am. J. Phys. 5 2, 1089 (1984)]

L. E. Ballentine

Since the purpose of the paper1 in question was to examine the responses to Schrödinger’s cat paradox that are engendered by three particular approaches to quantum mechanics, it is appropriate to comment only on the extent to which the given responses do indeed represent the views of proponents of the various interpretations. For the cases of quantum logic and the many worlds interpretation, I believe that the author has indeed captured the essence of a response that a supporter of that interpretation would give. But I should hope that a supporter of the Copenhagen interpretation would not give the response attributed to him, for it completely misses the point.

American Journal of Physics•Oct 1, 1986•2 citations

Multi-Valued Logic, Neutrosophy, and Schr\"{o}dinger Equation

Florentín Smarandache, Victor Christianto

This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ‘identity’, which too often it has been accepted as given. Neutrosophy itself was developed in attempt to generalize Fuzzy-Logic introduced by L. Zadeh. While some aspects of theoretical foundations of logic are discussed, this book is not intended solely for pure mathematicians, but instead for physicists in the hope that some of ideas presented herein will be found useful. The book is motivated by observation that despite almost eight decades, there is indication that some of those paradoxes known in Quantum Physics are not yet solved. In our knowledge, this is because the solution of those paradoxes requires re-examination of the foundations of logic itself, in particular on the notion of identity and multi-valuedness of entity. The book is also intended for young physicist fellows who think that somewhere there should be a ‘complete’ explanation of these paradoxes in Quantum Mechanics. If this book doesn’t answer all of their questions, it is our hope that at least it offers a new alternative viewpoint for these old questions.

Bulletin of the American Physical Society•Mar 1, 2010•0 citations
This article discusses Neutrosophic Logic interpretation of the Schrodinger’s cat paradox. We argue that this paradox involves some degree of indeterminacy (unknown) which Neutrosophic Logic could take into consideration, whereas other methods including Fuzzy Logic could not. For a balanced discussion, other interpretations have also been discussed.
This article discusses Neutrosophic Logic interpretation of the Schrodinger’s cat paradox. We argue that this paradox involves some degree of indeterminacy (unknown) which Neutrosophic Logic could take into consideration, whereas other methods including Fuzzy Logic could not. For a balanced discussion, other interpretations have also been discussed. 1 Schr¨ odinger equation As already known, Schr¨ odinger equation is the most used equation to describe non-relativistic quantum systems. Its relativistic version was developed by Klein-Gordon and Dirac, but Schr¨
The resolutions to the paradox of Schrödinger’s cat engendered by three major perspectives on quantum mechanics—quantum logic, the many worlds interpretation, and the Copenhagen interpretation—are discussed. The core of each perspective is revealed in the process. Each resolution to Schrödinger’s cat has a counterpart which solves the logical paradox known as the unexpected hanging. The rather striking parallels serve to emphasize several points. First, the quantum paradox is an epistemological and not a physical one. Second, the three interpretations mentioned, unlike some others, are faithful to this understanding. And third, the pitfalls in these two paradoxes have a somewhat universal character.
Erwin Schrodinger first described the thought-experiment which has since become known as 'the paradox of Schrodinger's cat' 51 years ago. In recent years, popular accounts of quantum mechanics have tended to adopt one or other of the philosophically most extreme solutions to this paradox, i.e. the consciousness hypothesis or the many worlds interpretation. The author attempts to redress the balance by describing what he takes to be the orthodox solution to the paradox which explains the paradox, without recourse to such counterintuitive notions as a cat simultaneously dead and alive or a universe continually splitting into multiple worlds, as being due to a misapplication of the quantum formalism.
Since the purpose of the paper1 in question was to examine the responses to Schrödinger’s cat paradox that are engendered by three particular approaches to quantum mechanics, it is appropriate to comment only on the extent to which the given responses do indeed represent the views of proponents of the various interpretations. For the cases of quantum logic and the many worlds interpretation, I believe that the author has indeed captured the essence of a response that a supporter of that interpretation would give. But I should hope that a supporter of the Copenhagen interpretation would not give the response attributed to him, for it completely misses the point.
This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ‘identity’, which too often it has been accepted as given. Neutrosophy itself was developed in attempt to generalize Fuzzy-Logic introduced by L. Zadeh. While some aspects of theoretical foundations of logic are discussed, this book is not intended solely for pure mathematicians, but instead for physicists in the hope that some of ideas presented herein will be found useful. The book is motivated by observation that despite almost eight decades, there is indication that some of those paradoxes known in Quantum Physics are not yet solved. In our knowledge, this is because the solution of those paradoxes requires re-examination of the foundations of logic itself, in particular on the notion of identity and multi-valuedness of entity. The book is also intended for young physicist fellows who think that somewhere there should be a ‘complete’ explanation of these paradoxes in Quantum Mechanics. If this book doesn’t answer all of their questions, it is our hope that at least it offers a new alternative viewpoint for these old questions.