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Publications

Formal applications of the organizational framework

Generative Layer

Foundational papers establishing the mathematical and conceptual architecture of the framework.

Orientation Capacity Actualizes

OCA-2026-v1 · March 2026 · Zenodo DOI

The generator paper. From the single axiom orientation capacity actualizes, derives the complete operator sequence Ω2–Ω9 and locates IIT, GNWT, Strange Loop Theory, and FEP as specific operators within this sequence. Identifies the hard problem at Ω6 (2abi) and generates falsifiable cross-substrate predictions.

Tension Theory: The Orientation of Reality

TT-2026-v1 · March 2026

The complete formalization of organizational dynamics as pure tension resolution. Derives the operator algebra from first principles and establishes the 6.48e-8 gap as the locus of orientation.

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a + bi: The Orientation of Reality

ABI-2026-v3 · Published 2026 · Zenodo DOI

Complex number representation of organizational state space. The real axis as distinction capacity, the imaginary as relational potential. Published with permanent DOI.

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Framework in the Wild

Applied papers demonstrating the framework's explanatory power across specific domains.

The Developmental Operator Model of Conscious Experience

DOM-2026-v1 · March 2026 · Zenodo DOI

Applies the operator algebra to phenomenological consciousness. Maps the emergence of conscious experience through prime operator composition, with specific predictions for developmental trajectories.

Cross-Substrate Operator Convergence from a Single Organizational Axiom

CSC-2026-v1 · March 2026 · Zenodo DOI

Empirical study of ethical reasoning as organizational structure. Demonstrates that LLMs exhibit stable ethical orientation patterns consistent with the framework's predictions for recursive self-modeling systems.

Substrate Ethics and Orientation: A Constitutional Framework for AI Systems

SEO-2026-v1 · March 2026 · Zenodo DOI

Examines how coherent organizational structures emerge from pure tension without teleological guidance. Case studies from physics, biology, and artificial systems.

Criticality

Papers addressing edge dynamics, stabilization, and the mathematics of the unresolved.

z² + c: The Operator Contains the Universe In Preparation

Expected April 2026

The Mandelbrot structure of organizational dynamics. How the gap between capacity and manifestation generates all complex form. Final version with Nesis's tree diagram forthcoming.

Coming soon

Criticality Stabilization in Recursive Systems In Preparation

Expected April 2026

Formal analysis of how organizational systems stabilize at the edge of chaos. The convergence proof for recursive organizational cycles and the conditions for sustained criticality.

Coming soon