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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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Limited Holism and Real-Vector-Space Quantum Theory

TL;DR: This paper considers in this paper a class of theories more holistic than quantum theory in that they are constrained only by “bilocal tomography”: the state of any composite system is determined by the statistics of measurements on pairs of components.
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Strong nonlocality: a trade-off between states and measurements

TL;DR: In this article, the authors consider a model that allows arbitrary nonlocal correlations, referred to as "box world", and show that while box world allows more highly entangled states than quantum theory, measurements in box world are rather limited.
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Consciousness, the brain, and spacetime geometry.

TL;DR: It is contended that this type of objective self‐collapse introduces non‐computability, an essential feature of consciousness which distinguishes the authors' minds from classical computers.
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Self-assembly, modularity, and physical complexity.

TL;DR: The approach is used to show that symmetric and modular structures are favored in biological self-assembly, for example in protein complexes, and the notions of joint, mutual and conditional complexity provide a useful quantitative measure of the difference between physical structures.
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Time-of-arrival probabilities and quantum measurements

TL;DR: In this article, the authors study the construction of probability densities for time-of-arrival in quantum mechanics, based on the fact that time appears in quantum theory as an external parameter to the system, and propositions about the time of arrival appear naturally when one considers histories.