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June 5, 2026Open Access

Paper CCXVI: v2: GR from BCH G2 (PRD, corrected) Paper CCXVI — General Relativity from BCH G2: Einstein Equations and UV Finiteness

Bharathi Jagadeesan

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Key Points

This paper aims to establish the UV-finiteness of general relativity using specific nilpotent elements from the G2 algebra.
Analyzed BCH expressions up to order 4 for nilpotent root vectors of height ≤3.
Clarified the distinction between elements of varying nilpotency degrees within the G2 framework.
Part of the ongoing One-Octonion Brane-Bulk Framework series.
GR terminates at order 4 for nilpotent G2 elements of height ≤3, proving UV-finiteness.
The findings lead to a clear distinction from the previous assertion regarding nilpotent elements.

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Implication

Demonstrates UV-finiteness in general relativity via nilpotent G2 elements, suggesting strong theoretical foundations.

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Cite This Study

Bharathi Jagadeesan (2026) studied this question.

synapsesocial.com/papers/6a265c89ad53cfb9357c5b98 https://doi.org/10.5281/zenodo.20566385

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Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context:

1Paper CCXVI v2: GR from BCH G2 (PRD, corrected) Paper CCXVI — General Relativity from BCH G2: Einstein Equations and UV FinitenessOriginal Research · 2026
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3Paper 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 = ℏOriginal Research · 2026
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5Paper CCIX: The Baker-Campbell-Hausdorff Formula as the Taylor Series of Spacetime: Christoffel Symbols, the Riemann Tensor, the Genesis TiltRandomized Controlled Trial · 2026
6Paper CCXVIII: Quantum Gravity as Pre-Geometric G₂ AlgebraOriginal Research · 2026
7Paper CCXVII: QFT/QED/QCD from BCH G2 Paper CCXVII — QFT, QED, QCD from BCH G2: Gauge Group SU(3) × SU(2) × U(1) from G2 SubgroupsOriginal Research · 2026
8Paper CCXXIX: General relativity as an emergent theorem: the G2 auxetic equilibrium of the Klein quartic and the 14=14 identity We prove three theorems that together establish general relativity as an emergent theorem of theOriginal Research · 2026

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