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Logic of Representation and Information

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posted on 20.01.2021, 06:15 by Subhash Kak

Classical reality is described in terms of objects and things and their mutual relationships. On the other hand, in the case of quantum reality, the collapse of the state in an interaction assigns a unique position to the observer. These two disparate views are based on different logics of representation. In this paper, we first summarize the early evolution of these ideas and then go beyond the implicit dependence of the quantum theory framework on the mathematical apparatus of calculus and vector spaces, by delving one layer deeper to an information-theoretic understanding of symbol representation. We examine some epistemic implications of the fact that, mathematically, e-symbol representation is optimal and 3 symbols are more efficient that 2 symbols, and this optimality leads to the idea that space itself is e-dimensional, and not 3-dimensional. We also discuss the principle of veiled nonlocality as a way to understand the split between the observer and the physical process.

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Email Address of Submitting Author

subhash.kak@okstate.edu

ORCID of Submitting Author

https://orcid.org/0000-0001-5426-9759

Submitting Author's Institution

Oklahoma State University

Submitting Author's Country

United States of America

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