>[!warning] >This content has not been peer reviewed. # Black Hole — Results Output of **[[Black Hole - Code]]** (`rst_black_hole.py`). ## Volume Deficit For the L^1.24 unit ball at d* = 9.5: | Quantity | Value | |:---|:---| | V_d*(1.24) / V_d*(2) | 0.00654 | | alpha proxy (1/V_ratio) | 152.9 | | C_iso (from G) | 8.99e16 | The L^n ball encloses far less volume than the Euclidean ball when n < 2. The "pucker factor" — 28% compression along body diagonals — reduces the volume-to-boundary ratio. ## Figure  *Volume ratio V_d*(n)/V_d*(2) vs n. The L^1.24 vacuum (SPARC) sits in the deficit regime.* ## G Derivation (Exploratory) The script explores G = c^3 hbar / (C_iso * M_P^2). A simple volume-ratio proxy for C_iso yields G_pred with ~188% error vs CODATA. The full derivation requires the exact isoperimetric profile of the L^1.25 metric at d* — the Cheeger constant or Faber-Krahn inequality on fractals. This remains a research direction. See [[expanded theory/The Sovereign Chain]] §XII.1.