1st Edition

The e-Dimensionality Information Principle Data, Representation, and Algorithms

By Subhash Kak Copyright 2026
212 Pages 62 Color & 45 B/W Illustrations
by Chapman & Hall

212 Pages 62 Color & 45 B/W Illustrations
by Chapman & Hall

This book is based on an information-theoretic result according to which optimal information is associated with e -dimensionality. Drawing on the principle that nature chooses optimal solutions, it demonstrates that noninteger dimensionality provides a unifying framework for understanding diverse phenomena across physics, cosmology, biology, engineering, and data science. The work explores how... Read more

1. Information and optimal representation
2. The intrinsic dimensionality of data
3. Fractals with optimal information dimension
4. Self-similarity, maximum entropy principle, and the genetic code
5. Information optimality and the geometry of chromatin
6. Autonomous cognitive agents in a neural network
7.  Evolutionary stages in the universe
8. Nonlocal noise and self-decoherence
9. Significance testing in natural and biological systems
10. Epilogue

Biography

Subhash Kak is Regents Professor at Oklahoma State University (Stillwater, Oklahoma) and a Distinguished Academic Scholar at Chapman University (Orange, California). He has held academic appointments at Imperial College London, Louisiana State University (Baton Rogue, Louisiana), Indian Institute of Technology Delhi, and Curtin University (Perth, Australia). He has authored several books, of which the most recent one is The Age of Artificial Intelligence. Since 2018, he has been a member of the Indian Prime Minister’s Science, Technology, and Innovation Advisory Council.