Publications and Preprints

All works listed here were developed independently by the author, without institutional affiliation or external funding. Unless otherwise noted, these items are theoretical frameworks or conceptual preprints; archival versions are hosted via Zenodo (DOI links are provided).

Canonical & Consolidation Documents

• Unified Mastery Theory (UMT): Axiomatic Foundations and Governance Structure
  Canonical consolidation document defining scope, axioms, admissibility, scalability, and governance of the UMT ecosystem. Ahmadov, M. (2026). Unified Mastery Theory (UMT): Axiomatic Foundations and Governance Structure. Zenodo. DOI: https://doi.org/10.5281/zenodo.18377850

Unified Mastery Meta-Theory (UMMT)

• Unified Mastery Meta-Theory (UMMT)
  Axiomatic meta-theory defining mastery as a latent, multidimensional equilibrium state under identifiability and validity constraints. Ahmadov, M. (2026). Unified Mastery Meta-Theory (UMMT). Zenodo. DOI: https://doi.org/10.5281/zenodo.18360120

Core Theoretical Frameworks

• Conceptual Mastery Evaluation Systems (CMES)
  A domain-agnostic framework treating mastery as a latent, multidimensional property requiring interventional probes. Ahmadov, M. (2026). Conceptual Mastery Evaluation Systems (CMES): An Overview. Zenodo. DOI: https://doi.org/10.5281/zenodo.18344651
• Mastery Equilibrium Theory (MET)
  Theory framing mastery as a dynamic equilibrium between drift and stabilizing forces. Ahmadov, M. (2026). Mastery Equilibrium Theory (MET). Zenodo. DOI: https://doi.org/10.5281/zenodo.18343189
• Functional Equivalence Class Hypothesis (FECH)
  Meta-theoretical statement emphasizing functionally equivalent representations and limits of identifiability. Ahmadov, M. (2026). Functional Equivalence Class Hypothesis (FECH). Zenodo. DOI: https://doi.org/10.5281/zenodo.18347628
• Counterfactual Predictive Sufficiency (CPS)
  Criterion for selecting observable features that retain counterfactually relevant predictive information. Ahmadov, M. (2026). Counterfactual Predictive Sufficiency (CPS). Zenodo. DOI: https://doi.org/10.5281/zenodo.18349023
• Reconstruction Lower Bounds for Learner Models (RLB-LM)
  Non-asymptotic framework characterizing fundamental limits of recovering latent learner models from behavior. Ahmadov, M. (2026). Reconstruction Lower Bounds for Learner Models (RLB-LM). Zenodo. DOI: https://doi.org/10.5281/zenodo.18351806
• Taxonomy of Mastery Failure Modes (TMF)
  Diagnostic taxonomy linking failure mechanisms, observable symptoms, and remediation strategies. Ahmadov, M. (2026). Taxonomy of Mastery Failure Modes (TMF). Zenodo. DOI: https://doi.org/10.5281/zenodo.18355757
• Mastery Minimax Principle (MMP)
  Normative principle characterizing irreducible difficulty of producing transferable mastery under limited probes. Ahmadov, M. (2026). The Mastery Minimax Principle (MMP). Zenodo. DOI: https://doi.org/10.5281/zenodo.18358203
• Construct Validity Framework for Latent Representations (CVF)
  Framework specifying evidential axes required before interpreting latent variables as scientific constructs. Ahmadov, M. (2026). Construct Validity Framework for Latent Representations (CVF). Zenodo. DOI: https://doi.org/10.5281/zenodo.18360052

System-Level & Structural Extensions

• Systemic Mastery Density (SMD) and the Epistemic Operation of Governing Ideas
  Derived UMT construct modeling how the distribution and institutional embedding of mastery constrains the functional operation of governing ideas at scale. Ahmadov, M. (2026). Systemic Mastery Density and the Epistemic Operation of Governing Ideas. Zenodo. DOI: https://doi.org/10.5281/zenodo.18493923
• Collective Mastery Inference (CMI) under Identifiability Constraints
  Strictly downstream inferential constraint framework specifying when collective mastery claims are epistemically admissible, underdetermined, or impossible under UMT identifiability, counterfactual invariance, and non-compositionality constraints. Ahmadov, M. (2026). Collective Mastery Inference (CMI) under Identifiability Constraints. Zenodo. DOI: https://doi.org/10.5281/zenodo.18500357

Derived & Intervention Frameworks

• The Cognitive Drift Regulator (CDR)
  Framework for monitoring and preventing semantic drift in long-term conceptual knowledge acquisition. Ahmadov, M. (2026). The Cognitive Drift Regulator (CDR). Zenodo. DOI: https://doi.org/10.5281/zenodo.18333736
• The Intervention Response Function (IRF)
  Operator formalizing representational responses to admissible epistemic interventions. Ahmadov, M. (2026). The Intervention Response Function (IRF). Zenodo. DOI: https://doi.org/10.5281/zenodo.18363432
• Optimal Epistemic Intervention (OEI)
  Control-theoretic extension modeling selection of epistemic actions under UMMT constraints. Ahmadov, M. (2026). Optimal Epistemic Intervention (OEI). Zenodo. DOI: https://doi.org/10.5281/zenodo.18360280
• Epistemic Maintenance Theory (EMT)
  Formalization of the post-learning regime required to preserve validity of mastery claims over time. Ahmadov, M. (2026). Epistemic Maintenance Theory (EMT). Zenodo. DOI: https://doi.org/10.5281/zenodo.18367137
• Epistemic Adversarial Pressure (EAP) & Adversarial Inference Regimes (AIR)
  Analysis of incentive structures that cause evaluation channels to be gamed or to misrepresent mastery. Ahmadov, M. (2026). Epistemic Adversarial Pressure (EAP) and Adversarial Inference Regimes (AIR). Zenodo. DOI: https://doi.org/10.5281/zenodo.18368195

Governance, Lifecycle & Scalability

• Mastery Lifecycle Initialization (MLI), Emergent Mastery Scalability (EMS), and Reflexive Ecosystem Closure (REC)
  Downstream governance frameworks clarifying admissibility, collective claims, and procedural consequences. Ahmadov, M. (2026). Mastery Lifecycle Initialization (MLI), Emergent Mastery Scalability (EMS), and Reflexive Ecosystem Closure (REC). Zenodo. DOI: https://doi.org/10.5281/zenodo.18371150

Related & Applied Work

• Certification & Credential Collapse Theory (CCCT)
  Structural analysis arguing credential systems cannot guarantee mastery in the strong epistemic sense. Ahmadov, M. (2026). Certification & Credential Collapse Theory (CCCT). Zenodo. DOI: https://doi.org/10.5281/zenodo.18363945
• System and Method for AI-Based Mastery Evaluation
  Technical whitepaper describing an AI-driven architecture to probe and infer conceptual structure (pilot-ready). Ahmadov, M. (2026). System and Method for AI-Based Mastery Evaluation. Zenodo. DOI: https://doi.org/10.5281/zenodo.18167548
• A Seven-Dimensional Model of Conceptual Mastery
  Early model defining mastery as a structured, multi-dimensional object inferred via interventional probing. Ahmadov, M. (2026). A Seven-Dimensional Model of Conceptual Mastery. Zenodo. DOI: https://doi.org/10.5281/zenodo.18394397

Epistemic Trajectory Framework

A two-part conceptual framework distinguishing cognitive capacity from epistemic competence and analyzing how epistemic trajectories emerge, stagnate, and terminate under conditions of knowledge distribution and evaluative scaffolding. The second paper closes and generalizes the framework introduced in the first.

• Epistemic Reconstruction and the Timing of Rational Competence
  Foundational analysis introducing the distinction between cognitive capacity and epistemic competence and identifying late epistemic reconstruction as a distinct developmental trajectory. Ahmadov, M. (2026). Epistemic Reconstruction and the Timing of Rational Competence. Zenodo. DOI: https://doi.org/10.5281/zenodo.18406859
• Epistemic Trajectories, Knowledge, and Scaffolding
  Closure and generalization of the epistemic trajectory framework, articulating constraints, boundary conditions, and the structural role of knowledge and evaluative regimes across human and artificial learning systems. Ahmadov, M. (2026). Epistemic Trajectories, Knowledge, and Scaffolding: Constraints, Closure, and Generality Across Learning Systems. Zenodo. DOI: https://doi.org/10.5281/zenodo.18419029

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

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