This paper is archived as a speculative research work. The Entanglement-Algebraic Spacetime (EAS) framework begins from a kernel consisting only of an ordered family of scalar admissibility fields and excludes primitive time, geometry, metric structure, and propagation. The present paper develops the first geometric layer of the program. We argue that geometry is not read directly from the kernel, but arises at the interface as an organization of certified relational structure. The primitive notion is not distance but relationship, and relationship is defined by certified change in the interface reading of the ordered scalar family. From this starting point we obtain a bifurcation: In sectors of mutual non-alteration, the interface is not forced to distinguish inertial descriptions by any change-based invariant and therefore admits a Euclidean completion. In sectors of actual relationship, the kernel supplies a unique null relation, and the interface must preserve that null uniqueness; the corresponding completion is therefore Minkowski-type rather than Euclidean. We then rebuild continuation, off-track deviation, and curvature as interface constructions derived from this bifurcation. The result is a geometry paper that remains strictly prior to the later emergence of time, interaction structure, mass, and quark flavor mixing.
Michael Labhard (Mon,) studied this question.