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The aim is to derive gravitational constants and related structures from a G2 compactification approach.

June 10, 2026Open Access

Gravity, Newton's Constant, and the Cosmological Constant from G2 Compactification

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The aim is to derive gravitational constants and related structures from a G2 compactification approach.
Utilized the MacDowell-Mansouri formulation of gravity as a gauge theory.
Derived Newton's constant structure from the Yang-Mills action of the unity sector.
Analyzed ratios and flux quantization related to G2 compactification.
Newton's constant derived as G = /(w_unity × M_GUT²) with w_unity ≈ 0.6685.
A ratio of w_unity/w_info = 14 indicates a holographic bulk-to-boundary relation.
Proton mass estimated at 950 MeV, aligning closely with the observed 938.3 MeV at a 1.28% level.

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Demonstrates the gravitational aspects of G2 compactification, suggesting profound implications for fundamental constants.

Vali Ilyas (2026) studied this question.

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