TechRxiv
1/1
2 files

Information, Representation, and Structure

preprint
posted on 29.07.2020 by Subhash Kak
This paper investigates the consequences of the information-theoretic result that representations of numbers in base-e are most efficient. Since theories on complex system behavior in both natural and physical systems assume that Nature is optimal, as is done, for example, in the principle of least action, natural representations must be to the base e. Another way to interpret this fact is to take e as the information dimension of the data space. Some implications of this noninteger dimensionality are investigated. The approximate equivalent to such a space is the Menger sponge in which the recursion is taken to be random.

Funding

Federico and Elvia Faggin Foundation, San Francisco

History

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, Stillwater

Submitting Author's Country

United States of America

Licence

Exports

Licence

Exports