RDCJ Research

Exploring symbolic systems, harmonic epistemology, and computational emergence (ORCID)

My work seeks to formalise symbolic resonance—the interplay of structure, intention, and pattern—as a framework for understanding knowledge, computation, and cultural cognition. Bridging mathematics, music, and philosophy, I investigate how symbolic systems (ancient and modern) encode meaning, resolve contradictions, and model emergence. Drawing on 25+ years of interdisciplinary inquiry, I develop frameworks and tools that explore how structure, intention, and pattern give rise to meaning across domains.

Guiding Question:
How can harmonic principles reconcile the rigidity of formal logic with the fluidity of human cognition?

Research Axes

My work develops along three intersecting axes:

1. Formal Systems and Emergence – Prime Complexity, Intent Cube, symbolic geometry.
2. Epistemology and Scientific Method – Catalogues, The Fretless Mind, knowledge theory.
3. Cultural Symbolic Systems – I Ching, Runes, Ifá, codon logic, music as computation.

Each axis supports the others—symbolic resonance as method, structure, and lens.

Research Focus

This repository curates my independent research portfolio. It serves as a public record of ongoing investigations into the foundations of science, consciousness, and computation—viewed through a symbolic and harmonic lens.

Primary themes include:

• Symbolic Computation and Geometric Information
• Harmonic Structures and Resonance Models
• Epistemological Frameworks and Knowledge Theory
• Prime Complexity and Emergent Mathematical Systems
• Cognitive Interfaces and Intentional Geometry
• Historical Symbolic Systems and Decision Frameworks
• Music Theory, Modal Structures, and Tuned Time

Current Projects

• Catalogue of Scientific Methods
  A comparative structural overview of empirical frameworks and their evolution.
• Catalogue of Epistemological Foundations
  A taxonomy of knowledge theories across history and logic.
• Catalogue of Symbolic Computation and Symbolic Systems
  A comprehensive reference to the foundations, tools, and traditions of symbolic reasoning, computation, and structure across cultures and disciplines.
• The Fretless Mind
  A treatise redefining scientific epistemology through harmonic systems.

Epistemology and Scientific Method

My work rethinks knowledge systems through harmonic principles, focusing on frameworks that bridge logic, intuition, and cultural cognition.

• Catalogue of Epistemological Foundations
  A neutral taxonomy of knowledge theories across history, cultures, and disciplines:
  • Documents frameworks (e.g., Bayesian probability, dialectical materialism, hermeneutic cycles) without advocacy.
  • Organizes epistemes by structure, assumptions, and cultural context.
  • Designed as a reference work for cross-disciplinary analysis.
• Catalogue of Scientific Methods
  A descriptive (non-prescriptive) mapping of empirical and theoretical workflows:
  • Classifies methods (e.g., hypothetico-deductive, abductive, phenomenological) by input/output logic.
  • Compares historical shifts (e.g., Aristotelian→Galilean→Popperian transitions).
  • Serves as a structured overview for methodological transparency.
• Catalogue of Symbolic Computation and Symbolic Systems
  A comprehensive reference to the foundations, tools, and traditions of symbolic reasoning:
  • Covers formal systems (e.g., algebra, logic, automata, rewriting systems) and informal traditions (e.g., I Ching, runic scripts, alchemical diagrams).
  • Explores symbolic modelling in mathematics, language, music, myth, and computation.
  • Highlights structural parallels between cultural artefacts and computational logic.
  • Maps the evolution of symbolic tools from ritual to machine, across historical and epistemic contexts.
  • Intended as a foundational resource for symbolic science, harmonic modelling, and meaning-based computation.

Formal Systems and Emergence

Mathematical and computational frameworks for modelling symbolic resonance and complexity.

• Prime Complexity Series
  Investigates prime number structures as emergent harmonic systems:
  • Visualizes prime gaps, twin primes, and Ulam spirals as resonant waveforms.
  • Develops symbolic algorithms for prime-pattern prediction.
• Intent Cube and Base Cube Systems
  Geometric interfaces for mapping symbolic transformation:
  • 3D models of intent propagation (e.g., decision trees as harmonic lattices).
  • Interactive demos linking geometric logic to musical tuning systems.
• Symbolic Geometry
  Unifies geometric and algebraic representations of knowledge:
  • Graph-theoretic models of epistemic networks.
  • Category theory applied to cultural symbolic systems.
• Codon Cube and Symbolic Genetics
  A 6-bit harmonic framework for genetic coding:
  • Maps codon-amino acid relationships to combinatorial resonance.
  • Probes parallels between genetic and cultural “code” evolution.

Symbolic Systems Research

• I Ching Computation Models
  Exploring the I Ching as a binary-based symbolic system of decision-making, emergence, and resonance.
  Includes decoding of hexagram logic, harmonic mappings, and interface prototypes.

• Runes and Prime Mirrors
  Investigation into the 18, 24, and 16 rune systems through harmonic, prime, and symbolic structures.
  Includes Odin’s 18 Ljóð mapped to 19TET, base-2 folding systems, and cultural-symbolic computation.

• Divination Systems as Embedded Logic
  Cross-cultural analysis of divinatory systems (e.g., Yoruba, Mayan vigesimal) as early computational and epistemological tools.

These systems are treated not mystically, but as formal symbolic technologies—models of orientation, resonance, and recursive decision-making within cultural cognition.

Methodologies

My work integrates diverse frameworks to study symbolic systems, harmonizing rigor with creativity:

1. Formal Symbolics

• Graph Theory: Mapping epistemic networks and symbolic dependencies.
• Category Theory: Analyzing structural equivalences across cultural, mathematical, and computational systems.
• Geometric Logic: Modeling harmonic principles in topological spaces.

2. Computational Modeling

• Algorithmic Prototyping: Python and JavaScript for symbolic resonance simulations.
• AI Tooling: Jupyter notebooks and open-source libraries for emergent pattern detection.

Long-Term Goals

• Formal Verification: Apply tools like TLA+ or Coq to ensure symbolic frameworks are paradox-free.
• Cross-Domain Toolkits: Develop open libraries for harmonic epistemology modelling.

3. Historical & Cross-Cultural Analysis

• Comparative Symbology: Studying divinatory systems as proto-computational frameworks.
• Epistemic Archaeology: Reconstructing decision-making logics in ancient systems.
• Critical Hermeneutics: Interpreting cultural symbols through harmonic and geometric lenses.

4. Interdisciplinary Synthesis

• Resonance Mapping: Identifying isomorphic patterns across music, mathematics, and cognition.
• Intentional Design: Developing interfaces to visualize symbolic transformation.

Ethos:
Open science, reproducibility, and radical interdisciplinarity—bridging the abstract and applied to democratize symbolic inquiry.

How to Engage

For Collaborators

My work thrives on interdisciplinary dialogue. Below are ways to contribute based on your expertise:

• Symbolic Systems & AI Researchers
  • Refine computational prototypes
  • Develop formal models for harmonic logic or intent propagation.
• Mathematicians & Physicists
  • Explore prime complexity through number theory or geometric group theory.
  • Model symbolic resonance in quantum or thermodynamic systems.
• Philosophers & Ethicists
  • Critique the epistemic foundations of harmonic frameworks.
  • Discuss ethical implications of symbolic AI and cultural computation.
• Historians & Anthropologists
  • Contextualize ancient symbolic systems within their cultural epochs.
  • Trace parallels between divinatory logic and early scientific methods.
• Musicians & Artists
  • Collaborate on modal/tuned-time compositions or symbolic interface design.
  • Explore geometric logic in visual/musical storytelling.
• Open Science Advocates
  • Improve accessibility/reproducibility of tools and datasets.
  • Co-design participatory research frameworks.

For Visitors

• Follow Updates: Subscribe to The Fretless Mind Bulletin (coming soon) for essays and project previews.
• Join Discussions:
  • Discuss symbolic systems in LessWrong’s Research Forum.
  • Annotate this work on Hypothes.is.
• Cite & Share: Reference this work in your projects (CC-BY-4.0 unless noted): “Jazinski, R.D.C. (2025). Symbolic Systems & Harmonic Epistemology. GitHub. https://github.com/rdcj-research”

BibTeX

@misc{jazinski2025symbolic, 
    author       = {Jazinski, R.D.C.}, 
    title        = {Symbolic Systems & Harmonic Epistemology}, 
    year         = {2025}, 
    howpublished = {https://github.com/rdcj-research}, 
    note         = {GitHub repository} 
}

For Institutions & Funders

• Support Open Tools: Sponsor computational model development or open-access publishing.
• Host Workshops: Facilitate cross-domain dialogues on symbolic resonance.

All projects are developed with academic rigor and interdisciplinary openness.
Reach out: reach@rdcj-research.com

Content licensed under CC BY 4.0 — © 2025 R.D.C. Jazinski.