A complete written global dimension lower bound for equal-mass Gaussian centroid partitions, proving an Omega((log k)^2) obstruction for additive O(1/k) approximation, with exact rational threshold checks. Author: Yongxian Zhang, South China University of Technology. The manuscript is a derived typeset edition of a frozen canonical research package. AI was used for research assistance and manuscript preparation; no external funding.
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Ya Zhang (2026) studied this question.
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