Paper CCXVIII: v2: Quantum Gravity from BCH G2 (PRD, corrected) Paper CCXVIII — Quantum Gravity as Pre-Geometric G2 Algebra: Finite S-Matrix and Planck Floor ℓPmPc = ℏ

Quantum gravity = BCH before any metric is defined. S-matrix finite because BCH terminates at order 4 (height-≤3 sector, Paper CCXVI). Planck floor: ℓP mP c = ℏ(the reduced Planck constant). v2 notation: the framework consistently uses 'h' to denote ℏ(reduced Planck constant), not h = 2πℏ. This non-standard convention is maintained throughout all framework papers. Readers should note: all occurrences of 'h' in the framework equal ℏ= 1.055 × 10−34 J s. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.