Aleksandar Bakalov's Little Cabinet of Eclectic Thoughts

Bakalov Research Labs (BRL)

Moji Radovi

„U tom činu prekoračenja — u tome da ostaneš veran sebi, a ne da budeš pijun u igri konsenzusa; u odbijanju da se zatvoriš u krug koji su drugi iscritali — upravo u toj osamljenosti rađa se prava kreativnost. Sve ostalo dolazi posle.“ A.Grotendik

Formal Logic, Quantum Foundations, Mathematical Structures, Emergence Theories, Formal Languages, Symmetry Relativity, Pregeometric Models

Biography

Independent researcher in formal language systems and quantum foundations. Key interests: Mathematical logic, emergence phenomena, non-standard causality models, pregeometric frameworks, symmetry relativity, and software engineering. Preprints available via OSF and Zenodo.

Works (19 of 19)

  • Bakalov’s Labyrinth: Existence, Uniqueness, and Early Dynamical Properties 2025-07-28 | preprint
  • Structured Dimensions in Topological Data Analysis
    2025-07-21 | preprint
    • Spectral Duality in Connectivity Structures: A Mathematical Framework for Local-Global Relationships
      2025-07-15 | preprint
    • Substrate-Independent Task Complexity: A Preliminary Conceptual Framework
      2025-07-11 | working-paper
    • Spacetime-Matter Trade-off Principle: A Discrete Quantum Gravity Framework
      2025-07-08 | preprint
    • Self-Repairing Systems via Interface Specification Compliance: A Mathematical Framework with Scalability and Stochastic Extensions
      2025-06-27 | preprint
    • Towards Operator Set Theory: A Research Program Generalizing RST Beyond Rotations
      2025-06-23 | preprint
    • Sequence-Dependent Mathematical Structures in Complex Systems I: Convergence Theory and Dynamical Systems
      2025-06-22 | preprint
    • A Geometric Approach to Contextual Set Membership Through Rotation Groups
      2025-06-17 | preprint
    • Polifunctions: A Formal Framework for Multi-Valued Mathematical Functions
      2025-04-18 | preprint
    • A Framework for the Relativity of Symmetry: Formalizing Perspective-Dependent Symmetry in Physical Systems
      2025-04-07 | preprint
    • The Transition Nature of Quantum Motion: A Unified Framework for Annihilation-Creation Events
      2025-04-02 | preprint
    • Higher-Level Formal Languages: A Theoretical Foundation for Software System Specification
      2025-03-25 | preprint
    • A Theoretical Framework for Matrices with Dynamic Dimensions: Formalization and Applications
      2025-03-03 | preprint
    • Emergence of Time and Dimensionality from Minimal Interacting Entities: A Pregeometric Approach
      2025-02-11 | preprint
    • Exploring Non-temporal Causality: A Mathematical Framework
      2025-01-09 | preprint
    • Continual Forms as Probabilistic Manifestations of Discrete Entities: A Unified Approach to Macroscopic and Quantum Systems
      2025-01-06 | preprint