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Complexity, Entropy and the Physics of Information

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TLDR
In this article, the authors discuss the connections between quantum and classical physics, information and its transfer, computation, and their significance for the formulation of physical theories, but also consider the origins and evolution of the information-processing entities, their complexity, and the manner in which they analyze their perceptions to form models of the Universe.
Abstract
This book has emerged from a meeting held during the week of May 29 to June 2, 1989, at St. John’s College in Santa Fe under the auspices of the Santa Fe Institute. The (approximately 40) official participants as well as equally numerous “groupies” were enticed to Santa Fe by the above “manifesto.” The book—like the “Complexity, Entropy and the Physics of Information” meeting explores not only the connections between quantum and classical physics, information and its transfer, computation, and their significance for the formulation of physical theories, but it also considers the origins and evolution of the information-processing entities, their complexity, and the manner in which they analyze their perceptions to form models of the Universe. As a result, the contributions can be divided into distinct sections only with some difficulty. Indeed, I regard this degree of overlapping as a measure of the success of the meeting. It signifies consensus about the important questions and on the anticipated answers: they presumably lie somewhere in the “border territory,” where information, physics, complexity, quantum, and computation all meet.

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Posted ContentDOI

Philosophical Aspects of Quantum Information Theory

TL;DR: Quantum information theory represents a rich subject of discussion for those interested in the philosphical and foundational issues surrounding quantum mechanics for a simple reason: one can cast its central concerns in terms of a long-familiar question: How does the quantum world differ from the classical one? Moreover, deployment of the concepts of information and computation in novel contexts hints at new (or better) means of understanding quantum mechanics, and perhaps even invites reassessment of traditional material conceptions of the basic nature of the physical world as discussed by the authors.
Journal ArticleDOI

Everett's pure wave mechanics and the notion of worlds

TL;DR: Empirically, there is no mention of splitting worlds or parallel universes in any of the published work of Everett as mentioned in this paper, but there is evidence that Everett was not entirely comfortable with talk of many worlds, it does not seem to have mattered much to him what language one used to describe pure wave mechanics.
Journal ArticleDOI

Quantum-mechanical histories and the uncertainty principle. II. Fluctuations about classical predictability.

J.J. Halliwell
- 15 Nov 1993 - 
TL;DR: This paper considers histories characterized by position samplings at n moments of time, and constructs a probability distribution on the value of (discrete approximations to) the field equations, F = mx + V'(x), at n − 2 times, finding that it is peaked around F = 0; thus classical correlations are exhibited.
Journal ArticleDOI

Algorithmic Randomness in Empirical Data

TL;DR: This article defends the thesis that, to the contrary, empirical data sets are algorithmically incompressible, and argues that they are therefore maximally efficient carriers of information about the world.
Journal ArticleDOI

Physical and Functional Conditions for Symbols, Codes, and Languages

TL;DR: All sciences have epistemic assumptions, a language for expressing their theories or models, and symbols that reference observables that can be measured, and cultural languages are much too complex to be adequately described only at the molecular level.