Murad Ahmadov

Independent researcher · Foundational theoretical frameworks

Publications

I am an independent theoretical researcher developing formal foundational frameworks across multiple domains, including epistemic inference, mastery theory, and stochastic dynamical systems. My work is developed independently, without institutional affiliation or external funding.

🗺️ The Map of Mathematics — a flyable 3D atlas of all structures from constrained symmetry, with 3,136 theorems proven in Lean 4. Fly through it →

Research programs

Mastery and Evaluation Frameworks

• Unified Mastery Theory (UMT)
• Systemic Mastery Density (SMD)
• Epistemic Trajectory Framework

Preconditions of Scientific Structure

• Minimal Preconditions for the Possibility of Science

Structural Foundations of Observability and Constraint

• Relational Constraint Foundations (RCF)
• Intrinsic Compression–Information Duality (ICS)
• Structural Origins of Exponential Persistence (SOEP)

Epistemic Constraint and Capacity Theories

• Unified Epistemic Constraint Theory (UECT)
• Structural Information Capacity of Latent Systems (SICLS)
• Unified Theory of Knowability (UTK)

Persistence and Rare-Event Statistical Frameworks

• Universal Exponential Barrier Sensitivity (EBS)
• Universal Persistence Scaling Framework (UPSF)

Each framework is developed as an independent theoretical program with its own axioms, formal structure, and associated preprints.

Publications and preprints

A structured list of theoretical frameworks and preprints is available here: Publications and preprints.

Preprints and archival versions are hosted via open repositories (e.g. Zenodo). Direct links are consolidated on the publications page.

Author identity

ORCID: https://orcid.org/0009-0008-1365-0084
Contact: ahmadovmurad114@gmail.com