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DMSD: Decimal Multiscale Serializable Domain DMSD · Foundational methodology v0.1 unsigned in the source

Decimal Multiscale Serializable Domain — Foundational Methodology

A theoretically unbounded discrete domain can be serialized first as decimal scale levels L_k = [10^k, 10^(k+1)) and expanded lazily, so any run needs only a bounded closure (K_max, region, resolution); two projections (a magnitude pyramid and a serialized staircase) share one domain. It is a paper about a software and representation architecture: no theorem is stated or proved.

DMSD proposes an architecture that layers an unbounded integer domain by decimal scale and expands it lazily; it is an engineering and representation design, not a mathematical result. §40's 'the first implementable multiscale serializable domain' reads as a priority claim, while hierarchical lazy interval decomposition is standard practice; the rest limits itself (§28–30, principles P8–P9: empirical results must read 'validated only up to K_max' and may not be promoted to the unbounded domain).

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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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