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The Adaptive Organization Project is founded on the belief that developing a new theoretical framework requires first acquiring a common mathematical language capable of integrating ideas across physics, biology, physiology, information theory, and complex systems.
Rather than immediately constructing theory, the project begins by rebuilding the mathematical foundation necessary to formulate, evaluate, and communicate new ideas with rigor.
The curriculum below represents the primary intellectual trajectory of the project.
Theme: States, operators, and transformations.
Develop structural mathematical thinking.
Learn to describe systems in terms of vector spaces, linear transformations, operators, and eigenstructure rather than collections of variables.
Theme: Dynamical evolution.
Understand how organized systems evolve continuously through time.
Theme: Structure and behavior.
Understand trajectories, attractors, bifurcations, stability, and biological dynamical systems.
Theme: Mathematics becomes physics.
Understand how operators, geometry, and differential equations become physical law.
These books are revisited throughout the curriculum as mathematical maturity develops.
Focus: Information, entropy, inference, and the emergence of classical reality.
Focus: Nonequilibrium systems, entropy, biological organization, and physical constraints on adaptation.
Focus: Regulation, adaptability, emergence, biological networks, scaling, and adaptive organization.
The mathematical curriculum is intentionally paired with historical reading that traces the evolution of the central research question.
The goal of these readings is understanding the historical development of ideas concerning adaptation, information, thermodynamics, and biological organization.
The purpose of this curriculum is to translate each mathematical concept into questions about adaptive physiological organization.
Examples include:
These questions are explored through the project’s Zettelkasten and eventually synthesized into a mathematically and physically coherent theory of adaptive organization in living systems.
June 2026
The project is in Phase I.
The emphasis is on building additional mathematical intuition while simultaneously studying the historical development of ideas surrounding information, thermodynamics, adaptation, and biological organization.
This curriculum is expected to provide the mathematical and conceptual foundation for further theory development beginning in 2028.