TrinityE: A Set-Valued Existence Interface for the Omnis Framework, a System for Operational Physical Ontology

Preprint. This work introduces TrinityE, a set-based existence interface for the Omnis Framework: an operational program that connects Clifford geometry (Cl(3,1)), discrete pre-geometry (K5-based connectivity), and open-system dynamics to model how “existence/visibility” of states becomes well-defined under finite-resolution observation. The central idea is to treat observation not as an extra axiom but as a structured readout layer: states are mapped through an explicit interface into reported quantities, where selection, relaxation, and calibration rules determine what survives as stable, reproducible output. Within this interface view, “existence” is encoded as an operational condition on the reported state (rather than a metaphysical claim), and the framework provides a consistent bridge between (i) discrete connectivity and information-layer bookkeeping, (ii) effective coarse-graining under finite resolution, and (iii) standard language from open quantum systems (e.g., relaxation channels and T1/T2-type timescales) used purely as phenomenological handles. The result is a compact blueprint for building falsifiable pipelines: how to define the interface objects, how to propagate them through readout, and how to interpret stability/robustness as an outcome of the observation process itself. Related companion preprints: doi:10.5281/zenodo.18158453; doi:10.5281/zenodo.18160918; doi:10.5281/zenodo.18160477; doi:10.5281/zenodo.18159246; doi:10.5281/zenodo.18160277; doi:10.5281/zenodo.18160701