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Part 1: The Rules

πŸ“„οΈ Chapter 3: Architecture

What mechanism permits the pre-geometric substrate to form a coherent frame for the universe based solely on axiomatic constraints? This chapter derives the initial structure that satisfies those constraints: a finite rooted tree. This topology emerges after alternative graphs fail due to contradictions in causality, connectivity, and sparsity. The tree functions as the causal graph at $t_L = 0$, with edges directed from a single root and timestamps increasing along paths. This setup ensures unidirectional influence propagation without cycles or duplicates.