dorsal/arxiv
View SchemaThe Significance of Information in Quantum Theory
| Authors | Alexei Grinbaum |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410071 |
| URL | https://arxiv.org/abs/quant-ph/0410071 |
Abstract
We propose a system of information-theoretic axioms from which we derive the formalism of quantum theory. Part I is devoted to the conceptual foundations of the information-theoretic approach. We argue that this approach belongs to the epistemological framework depicted as a loop of existences. In Part II we derive the quantum formalism from information-theoretic axioms and we analyze the twofold role of observer as physical system and as informational agent. Quantum logical techniques are then introduced, and we prove theorems reconstructing elements of the formalism. In Part III, we introduce the formalism of C*-algebras and give it an information theoretic interpretation. We analyze the conceptual underpinnings of the theory of modular automorphisms and we give an information-theoretic justification for the emergence of time in the algebraic approach. We conclude by giving a list of open questions, including topics in cognitive science, decision theory, and information technology.
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"abstract": "We propose a system of information-theoretic axioms from which we derive the\nformalism of quantum theory. Part I is devoted to the conceptual foundations of\nthe information-theoretic approach. We argue that this approach belongs to the\nepistemological framework depicted as a loop of existences. In Part II we\nderive the quantum formalism from information-theoretic axioms and we analyze\nthe twofold role of observer as physical system and as informational agent.\nQuantum logical techniques are then introduced, and we prove theorems\nreconstructing elements of the formalism. In Part III, we introduce the\nformalism of C*-algebras and give it an information theoretic interpretation.\nWe analyze the conceptual underpinnings of the theory of modular automorphisms\nand we give an information-theoretic justification for the emergence of time in\nthe algebraic approach. We conclude by giving a list of open questions,\nincluding topics in cognitive science, decision theory, and information\ntechnology.",
"arxiv_id": "quant-ph/0410071",
"authors": [
"Alexei Grinbaum"
],
"categories": [
"quant-ph"
],
"title": "The Significance of Information in Quantum Theory",
"url": "https://arxiv.org/abs/quant-ph/0410071"
},
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