Mathematicians, physicists, and theoreticians working on the geometric and formal foundations of inquiry and cognition.

Geometric Inquiry Theory

Establishing geometric bases for inquiry through Q-State Dynamics and the structural basis of inquiry.

Lead: Bruce Tisler

Geometric Inquiry Theory develops a geometric framework for understanding inquiry as a structured dynamic process — establishing Q-State Dynamics and the structural basis of inquiry as a coherent mathematical theory, drawing on a multi-decade background spanning paramedicine, network engineering, and culinary arts as informal laboratories.

Overview

The project establishes geometric and algebraic foundations for inquiry — treating the act of asking questions as a structured, consequence-laden process with formal properties. Q-State Dynamics provides the theoretical core, with protocols documenting the empirical and epistemological basis of the work. It asks why exactly six interrogative operators — who, what, where, when, how, and why — recur across natural languages and cognitive systems, and whether this is a structural necessity rather than a linguistic accident, with relevance to how constraint structures emerge, persist, and fail in multi-agent AI alignment settings.

Participate

Mathematicians, physicists, and formally-oriented theoreticians interested in the foundations of inquiry are welcome.

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