
This work establishes the first mathematical foundations of Radial Coherential Dynamics (RCD) without presupposing spacetime geometry. Version 1.1 introduces the adjacency structure ∼, resolving the dimensional-collapse problem of v1.0 and allowing spatial structure to emerge independently of coherence. Starting from four primitives — a coherence field, a partial order, an adjacency relation, and a variational principle — we construct a fully pre-geometric framework where temporal and spatial structure arise from decoherence and adjacency, respectively. The paper defines the coherential graph, the proto-metric combining coherence and graph distance, the emergent topology, and the conditions under which Lorentzian geometry appears in the continuum limit. This is the first entry in the RCD Pregeometric Foundations series.
causal structure, coherence field, emergent spacetime, adjacency graph, radial coherential dynamics, metric emergence, pregeometry, quantum gravity foundations
causal structure, coherence field, emergent spacetime, adjacency graph, radial coherential dynamics, metric emergence, pregeometry, quantum gravity foundations
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