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DMSD: Decimal Multiscale Serializable Domain DMSD Phase 2B · Residue layers unsigned in the source

DMSD Phase 2B — Residue Layers

Computes exact residue vectors mod 3, 5, 10 (mod 7 as a representation control) without enumeration and shows they are conserved under refinement (404 + 28 + 300 checks); Φ_m(k) = 10^k mod m shows that mod 5 and mod 10 lock to the decimal grammar while mod 7 cycles with period 6.

Exact block summaries of residue layers are conserved under refinement; mod 5/10 are tied to the decimal grammar, mod 7 is the control. The validation summary says: 'This validates the multiscale residue-layer machinery, not a number-theory conjecture.'

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This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

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