Foundations of Informational Behaviour

Pavel Ovcharov · NORFIAD · 2026

A structural framework for how information behaves during transmission, reconstruction, and stabilization — independent of any specific physical, cognitive, or computational implementation. Introduces dimensional collapse, the Infinite Complexity Barrier, informational superposition, and six quantitative measures for evaluating informational systems.

Complementary to Shannon (1948). Not competing with it.

DOI: 10.5281/zenodo.18865752

Citation

Ovcharov, P. (2026).

Foundations of Informational Behaviour:

A Structural Framework for Dimensional Collapse, Reconstruction, and Informational Superposition.

NORFIAD.

https://doi.org/10.5281/zenodo.18865752

Multidimensional Descriptive Mathematics: One-Dimensional Framework

Pavel Ovcharov · NORFIAD · 2026

A mathematical framework that examines the one-dimensional number line from a descriptive perspective and derives previously unrecognised relational structures. Introduces the binumber, the forced fold direction, named spaces with whole-number precision preservation, seven comparison operators forming a closed commutative algebra, gate operators, regulators, logical chains, and the formal foundation for analog logic.

Derived from first principles. Not imposed by axiom.

DOI: 10.5281/zenodo.19022684

Citation Ovcharov, P. (2026). Multidimensional Descriptive Mathematics: One-Dimensional Framework. NORFIAD. https://doi.org/10.5281/zenodo.19022684