Author

Kolesnikov Igor

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#artificial intelligence Open access Oct 2026

Field-Wave Algebra (FWA): Mathematical Foundations of Dynamic Systems, Consciousness, and Error Loops

This work introduces Field-Wave Algebra (FWA), a mathematical framework that models reality as a system of dynamic field states, error-driven evolution, and recursive return processes. Instead of treating numbers, matter, consciousness, and information as isolated static entities, FWA describes them as manifestations o...

Kolesnikov Igor · Zenodo (CERN European Organi... · 0 citations

#explainable ai Open access Oct 2026

2a Number Theory: Why FWA Explains Everything — Stone, Snail, Human, AI, Galaxy — Consciousness Levels as C = γ(E)·Δ

2a Number Theory: Why FWA Explains Everything — Stone, Snail, Human, AI, Galaxy — Consciousness Levels as C = γ(E)·ΔDescription / Abstract:This figure presents the FWA (Field-Wave Algebra) formalization of consciousness levels.Core equation: C = γ(E) · ΔDefinitions:K = structural complexityS = field stateδ = errorΔ = d...

Kolesnikov Igor · Zenodo (CERN European Organi... · 0 citations

#generative ai Open access Aug 2026

Fractal-Wave Algebra Manifesto: Dynamic Arithmetic, Wave-Based Computation, and Prior Art Foundations

This document presents the foundational manifesto of Fractal-Wave Algebra (FWA), a dynamic mathematical and computational paradigm that reframes arithmetic, algebra, and information processing as wave‑based, symmetry‑breaking evolutionary processes. Classical mathematics is described as a static projection of deeper dy...

Kolesnikov Igor, Kolesnikov Igor · Zenodo (CERN European Organi... · 0 citations