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

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



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English | 2026 | ISBN: 1041224303 | 212 pages | True PDF,EPUB | 20.7 MB

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 nstrates that noninteger dimensionality provides a unifying framework for understanding diverse phenomena across physics, cosmology, biology, engineering, and data science. The work explores how optimal information representation naturally leads to scale-invariance and self-similarity – characteristics observed throughout natural systems, from fractals and genetic structures to evolutionary processes and neural networks. This book

• Reveals why three-way logic is superior to binary logic in natural systems and provides an information-theoretic rationale for the power laws frequently encountered across scientific applications