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

May 19, 2026Open Access

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This paper aims to demonstrate the ultraviolet finiteness of general relativity derived from BCH expansions on G2 algebra.
Derived equations using BCH expansions up to order 4 on G2.
Focused on nilpotent root vectors of height ≤3 to establish termination of the series.
Corrected previous assertions regarding nilpotency degrees and terminations.
Proved that order 5 terms vanish for height ≤3 nilpotent elements, affirming UV-finiteness.
Established that the previous version incorrectly generalized termination across all nilpotent elements.
Details reveal relevant structural insights within the framework of the One-Octonion Brane-Bulk series.

Shows UV-finiteness of general relativity in nilpotent root vectors, indicating a significant resolution in theoretical physics.

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Bharathi Jagadeesan (2026) studied this question.

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