024【Enumiaze】Five-Fold Coset Resolution, Canonical BT24 Order, and Planar Scan Laws in a 48-Element H4/600-Cell Framework

This preprint presents a claim-bounded computational study of a 48-element discrete symbolic framework organized on H_4/600-cell geometry. The paper isolates three reproducible structural results. First, the 120-vertex state space naturally partitions into a five-fold 24-cell resolution attached to a distinguished binary tetrahedral (BT24) core (index 120/24=5). Second, the 24-element core order aligns with a canonical six-block BT24 ordering, governed by invariant within-block patterns and specific boundary transitions. Third, we establish exact planar scan laws for two 24-element grid readings. Furthermore, we quantify the strict limits of single-grid projection: an exhaustive combinatorial search over all 252 five-row split layouts proves that a single 5 × 10 planar matrix cannot fully recover the 4D core order, strictly bounding the maximum overlap at 16/24. This geometric limitation necessitates multiple distinct scan protocols to preserve 4D topological information. The contribution is a mathematically rigorous statement of coset resolution, exact scan laws, and projective limits, leaving broader physical and historical interpretations open.