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In Everything Is Everything

Demetris Nicolaides

Published Jul 23, 2020• 0 citations
Publisher

Abstract

Abstract Anaxagoras proposed “in everything there is a portion of everything,” a notion as bizarre as the most popular interpretation of quantum theory, the Copenhagen. A piece of gold, say, contains gold as well as everything else—copper, wheat—but appears as a distinct golden object because its gold portion is the greatest. But no part of the object is pure. Every part of the golden object is also simultaneously watery, milky (and all other materials), and black and white (and all opposite qualities). In the Copenhagen interpretation, before an observation, something (an electron, Schrödinger’s cat) is all opposite qualities simultaneously, too, with each quality described by a unique probability (“portion”) to actually occur. The cat is both dead and alive; the electron spins simultaneously both clockwise and counterclockwise. Only after the observation, the cat is found either dead or alive, and the object, as Anaxagoras would say, definitely golden, yellow, and dry.

DOI
10.1093/oso/9780190098353.003.0011

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Abstract Anaxagoras proposed “in everything there is a portion of everything,” a notion as bizarre as the most popular interpretation of quantum theory, the Copenhagen. A piece of gold, say, contains gold as well as everything else—copper, wheat—but appears as a distinct golden object because its gold portion is the greatest. But no part of the object is pure. Every part of the golden object is also simultaneously watery, milky (and all other materials), and black and white (and all opposite qualities). In the Copenhagen interpretation, before an observation, something (an electron, Schrödinger’s cat) is all opposite qualities simultaneously, too, with each quality described by a unique probability (“portion”) to actually occur. The cat is both dead and alive; the electron spins simultaneously both clockwise and counterclockwise. Only after the observation, the cat is found either dead or alive, and the object, as Anaxagoras would say, definitely golden, yellow, and dry.
In quantum theory, a particle is allowed to be in a state of coherent superposition among a set of orthogonal states. A vivid picture of this concept is the “Schrödinger cat”: a cat is alive and dead simultaneously. This would be no surprise if one means a large number of an ensemble of cats with 50% alive and 50% dead. But, “Schrödinger cat” is a cat. People are talking about a cat being alive and dead simultaneously. In mathematics, the best word to characterize the relationship between states “alive” and “dead” is perhaps “orthogonal”. In quantum mechanics, the superposition of orthogonal states is used to describe the state of a quantum object, or a particle. The superposition principle is indeed a mystery compared to our everyday classical life experience. Beyond the superposition of orthogonal single-particle states, the superposition of orthogonal multi-particle states represents an even more troubling concept in classical theory.
Einstein: God does not play dice and nothing travels faster than the speed of light. Schrödinger: My cat cannot be both dead and alive. Dirac: The existing quantum theory should not be considered to be the final solution. Feynman: How does it work? de Broglie: My matter wave has an imaginary part. Me: Great! This could be the missing piece the others have been looking for. In this report, I present an innovative modification to the Schrödinger equation, which yields wavefunctions capable of accurately describing quantum phenomena. Concurrently, this modification introduces an alternative interpretation to the widely recognized Copenhagen interpretation within the realm of quantum theory.
Einstein: God does not play dice and nothing travels faster than the speed of light. Schrödinger: My cat cannot be both dead and alive. Dirac: The existing quantum theory should not be considered to be the final solution. Feynman: How does it work? de Broglie: My matter wave has an imaginary part. Me: Great! This could be the missing piece the others have been looking for. In this report, I present an innovative modification to the Schrödinger equation, which yields wavefunctions capable of accurately describing quantum phenomena. Concurrently, this modification introduces an alternative interpretation to the widely recognized Copenhagen interpretation within the realm of quantum theory.
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.
Quantum theory confronts us with bizarre paradoxes which upset the logical edifice of classical physics. At the sub-atomic level, one particle seems to know what the others are doing (so-called 'non-locality'), and according to Heisenberg's 'uncertainty principle', there is a limit on how accurately nature can be observed. And yet the theory is amazingly accurate and widely applied, explaining all of chemistry and most of physics. This book takes us on a step-by-step tour with the key figures, including Planck, Einstein, Bohr, Heisenberg and Schrodinger. Each contributed at least one crucial concept to the theory. The puzzle of the wave-particle duality is here, along with descriptions of the two questions raised gainst Bohr's 'Copenhagen Interpretation' - the famous 'dead and alive cat' and the EPR paradox. Both remain unresolved at the beginning of the 21st century.
Abstract Complementarity tells us we cannot know precisely the values of all the properties of a quantum object at the same time: the precise determination of one property implies that the value of some other (complementary) property is undefined. E.g. the precise knowledge of the position of a particle implies that its momentum is undefined. Here we show that a Schrödinger cat has a well defined value of a property that is complementary to its “being dead or alive” property. Then, thanks to complementarity, it has an undefined value of the property “being dead or alive”. In other words, the cat paradox is explained through quantum complementarity: of its many complementary properties, any quantum system, such as a cat, can have a well defined value only of one at a time. Schrödinger’s cat has a definite value of a property which is complementary to “being dead or alive”, so it is neither dead nor alive. Figuratively one can say it is both dead and alive. While this interpretation only uses textbook concepts (the Copenhagen interpretation), apparently it has never explicitly appeared in the literature. We detail how to build an Arduino based simulation of Schrödinger’s experiment based on these concepts for science outreach events.