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DMSD: Decimal Multiscale Serializable Domain DMSD × M6 · The prime fixed-point carrier (closing experiment) unsigned in the source

DMSD × M6 Prime Fixed-Point Carrier — Closing Experiment v0.1: 'Are the primes a bending fixed-point trajectory that does not break at scale switches?'

On M6* = {n > 1 : gcd(n, 6) = 1}, with e₆(n) = n − lpf(n) (lpf the least prime factor), e₆ vanishes exactly on the 78,496 primes in 5 ≤ n ≤ 10⁶ (333,332 candidates), and with σ(n) = log₁₀ n these nodes form a strictly increasing sequence (78,495 of 78,495 positive segments, no persistent break at decade boundaries). Closing status: 'Novel prime theorem claimed: NO'.

On the finite range n ≤ 10⁶ the primes are exactly the zeros of e₆ and increase strictly in log₁₀; this is a definitional observation, not a prime theorem. Editor's note: the 'exact' results here are definitional or vacuous — lpf(n) = n iff n is prime, and log₁₀ is strictly increasing, so any increasing integer sequence (the squares, say) passes; the paper itself concedes 'any ordered sequence can be interpolated' and states that one cannot conclude the primes form a continuous subset of R. The M6 definitions it uses are not cited; they come from this site's Goldbach case (the RG-SCP series, 2026-09-28). Only REPORT.md is included on this page; the original zip (19.5 MB, 97% of it regenerable CSVs) is not offered for download, and its SHA-256 is fdcab71c65e31a3a3310dd488c895899997fb58e48329f8166fd306b041e79d7.

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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.

Editor's note: the source contains second-person conversational lines addressed to the director and opaque source_ref tokens (for example 'at the very beginning you said'); this site keeps the original bytes unedited.

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