Intersubjective Geometry from Finite Accessibility

Arc IV — Structure Paper 3 Title Intersubjective Geometry from Finite Accessibility Zenodo DOI 10.5281/zenodo.18225915 This paper derives geometric structure as an emergent, intersubjectively stable construct arising from finite accessibility rather than as a fundamental property of physical reality. Building on the notion of objectivity as convergent multi-agent inference, geometry is shown to emerge as the minimal shared representational structure that preserves relational distinguishability across observers operating under bounded access. Distances, angles, and continuity are reinterpreted as inference-stable summaries of accessibility relations, not as pre-existing spatial facts. The paper demonstrates that when multiple observers attempt to coordinate records and predictions under finite signal speed, finite resolution, and finite duration, a geometric description becomes the unique effective bookkeeping structure that supports intersubjective agreement. Importantly, this geometry is not assumed to be metric or Lorentzian a priori. Instead, it arises as a consequence of consistency requirements on shared inference, preparing the conceptual ground for later results in which classical spacetime geometry and geodesic motion emerge as optimal inference structures. This work completes the Structure Arc, providing the conceptual bridge between operational constraints and emergent spacetime geometry that is developed technically in the gravity-focused papers that follow. Keywords emergent geometry; intersubjectivity; finite accessibility; operational distance; inference geometry; foundations of spacetime Notes (Optional / Internal) Arc IV — Structure (closing paper) Bridges multi-agent inference to geometric representation Direct conceptual precursor to the Geodesic Principle papers