Self-consistent Determination of the Curvature Radius and Recovery of the Tangherlini Evaporation Scaling (Paper 5)

v2 (April 2026): Reference list refined per paper. External references corrected and finalized; no self-citations. v1 (DOI 10. 5281/zenodo. 19837596) remains the original publication. English: The curvature radius R is determined self-consistently from matter content via Eₓ₎ₓ₀₋ R², giving R M^1/2, TH M^-1/2, and lifetime M^3/2 — in agreement with the four-plus-one-dimensional Tangherlini result. The original apparent discrepancy in the evaporation rate exponent is shown to be a confusion between 3+1 and 4+1 conventions; in 4+1 dimensions the agreement is exact. The principal residual issue is the reduction to 3+1 dimensions. 日本語: 曲率半径 R を物質内容から Eₓ₎ₓ₀₋ R² により自己整合的に決定し、R M^1/2, TH M^-1/2, 寿命 M^3/2 — 4+1次元 Tangherlini と一致 — を得る。蒸発レート指数の見かけの不一致は 3+1 と 4+1 規約の混同であり、4+1 次元では完全一致。残存問題は 3+1 次元への削減。