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This research explores why mass curves spacetime and the relative weakness of gravity by deriving Newton's constant through induced gravity.

August 9, 2026Open Access

Induced Gravity at the Arithmetic Interface: A Conditional Derivation of Newton's Constant

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Conditional derivation of Newton's constant reveals insights on mass and spacetime in induced gravity framework.

This research explores why mass curves spacetime and the relative weakness of gravity by deriving Newton's constant through induced gravity.
Applied one-loop induced-gravity mechanism to the dual-domain ontology (DDC) interface.
Constructed the interface fluctuation operator in three stages to define the mode count N_eff.
Decomposed the mass matrix to investigate relationships between constants and curvature.
Derived Newton's constant as G=12πl_min²/N_eff with N_eff=48, indicating a fixed structural scale.
Identified exact spectral gap of 17.7 for massless modes in the induced gravity framework.
Demonstrated the emergent nature of spacetime with automatic equivalence principle for positive G and ξ<1/6.

Risto Vanhanen (2026) studied this question.

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