This preprint introduces Operational Geometry (also referred to as Interaction Geometry) as a foundational framework for understanding how adaptive agents relate to space through interaction rather than explicit representation. Instead of treating geometry as a reconstructed model of shapes or coordinates, the work reframes geometry as a field of constraints revealed through action and consequence. The paper formalizes this perspective using three architectural primitives: Alignment Field, Alignment Charge, and Adaptive Internal Time, which together describe how resistance, slippage, drift, timing modulation, and correction structure constitute geometry at the agent level. Friction and adhesion are treated as invariant signatures of geometry, while phenomena such as structural drift, operational spin, coherence degradation, and jerk serve as dynamic indicators of misalignment. This work is presented as a prior-art, conceptual, and architectural preprint. It does not specify algorithms, controllers, or implementation details, and does not aim to benchmark performance against existing systems. Its purpose is to establish conceptual priority and structural scope for subsequent technical work within the PETRONUS framework and related lines of research in embodied, enactive, and interaction-centric adaptive systems.
Maksim Barziankou (Sun,) studied this question.