← MCC-OE: Measured-Construct Closure and Observable Exhaustion / MCC-OE-16 · Correction: invertible sliver coordinates

MCC-OE: Measured-Construct Closure and Observable Exhaustion MCC-OE-16 · Correction: invertible sliver coordinates Neo.K (as signed)

Sliver-Quotient Soundness Correction and Eight-Chamber Arithmetic Closure: From 'Continuous Dimension Compression' to 'Invertible Sliver Coordinates plus a Discrete Topology Quotient'

Corrects MCC-OE-15: the sliver map is an invertible affine map (det M_S ≈ 10.938), so only the discrete finite-topology identity is quotiented, not continuous degrees of freedom; and closes the principal arithmetic layer of the eight chambers at research-interval authority (Φ2 ≥ c* > 0.22558633).

Paper 15's 'continuous dimension compression' is corrected to invertible coordinates plus a discrete topology quotient; the principal arithmetic layer of the eight chambers is closed at research-interval authority. A self-correction; 'closed' covers only the principal arithmetic layer, and the soundness of the finite topology quotient stays OPEN. The header of paper 15, 'SECOND-ORDER FACTORIZATION PROVED', drops the qualifier 'PROVED AT 09C MODEL LEVEL' that its own body carries.

Connections · Connections

PreviousMCC-OE-11 · The renormalized residual · Dependency-Preserving Direct-Area Compiler and First-Order Renormalized Residual: From a 10⁻⁹ Raw Margin to R₂^fin ≈ 0.106, Rewriting the B01 Hard Core as a Conditionable Finite-Radius Residual Problem

NextMCC-OE-17 · Supersession and a precision artefact · Six-Sliver Structural Exhaustion, Vertical-Pair Supersession, and Precision-Stable One-Sided Remainder Audit: From Five-Sliver to the Six-Wall / Three-Pair Secondary Atlas

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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