Observation–Feedback Closure I: A Self-Consistent Relational Framework for the Interpretational Reconstruction of Time, Structural Scales, Relational Space, and Local Lorentzian Kinematics

This paper is the first in the Observation–Feedback (OF) Closure series. Motivated by the foundational question of why spacetime manifolds, action scales, and kinematical symmetries are universally presupposed in standard physics, we introduce an operational criterion of physical existence—the OF admissibility principle—based on a primitive action unit assigned to each elementary observation–feedback event. From this single principle, we construct a self-consistent relational framework that does not presuppose any spacetime manifold, metric, Hilbert space, symmetry group, or field equation. Instead, these structures are reconstructed as emergent representational realizations of a deeper observation–feedback admissibility structure. The key advancement of version v1.2.0 is the unification of a dual-order event ontology with an algebraic triadic identity representation. In this formulation, physical OF events are fundamentally binary, while stable identity reconstruction requires a triadic algebraic structure, where the third component encodes closure consistency rather than a physical degree of freedom. A primitive action unit κ_OF is assigned to each event and, after empirical calibration, plays the structural role of the Planck constant. Event frequency, relational time, and energy are consistently derived from event counting, leading to an SO(1,1) hyperbolic structure. Standard Lorentz kinematics emerges as a limiting realization under symmetric binary calibration, while more general OF networks correspond to nonlinear relational structures reserved for future dynamical extensions. This version marks a conceptual transition from an additive refinement framework (v1.1.x) to a unified interpretational reconstruction framework (v1.2.0). Earlier versions extended a fixed structural ontology, whereas v1.2.0 introduces a dual-order event ontology and an algebraic triadic identity structure as foundational organizing principles. Accordingly, standard kinematical structures are no longer treated as direct emergent outputs of a fixed relational network, but as internally consistent representational realizations of a primitive observation–feedback admissibility principle. The paper does not aim to replace or compete with established physical theories in their empirical domains. Instead, it provides a structural and interpretational reconstruction of standard kinematical physics, including temporal ordering, energy–frequency relations, spatial dimensionality, and Lorentz symmetry. No dynamical equations or new empirical predictions are derived.