Gravitational Coupling G

 

'Gravitational Coupling'  is a system-specific amplification factor arising from the internal twist strain geometry and mass distribution of interacting bodies, increasing the effective gravitational interaction beyond the inverse-square baseline.

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Units of G are m^3/kg*sec^2, but representing the variables without arbitrary units replaces m::meters with dx as general distance, replaces kg units of mass with general m for mass, and replaces the time interval units seconds with the general dt as duration.  

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Peeled apart we find: G ~ dx/m * dx^2/dt^2.

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From SR, E = m * (+/- c)^2, c=dx/dt.  So E=m * dx^2/dt^2 and E/m = dx^2/dt^2; so we can replace that term in G:

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G ~ dx/m * E/m = dx*E/m^2

G = E * dx/m^2

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which is Energy distributed over distance/mass^2. It’s how much curvature you get per unit of energy, given how that energy is spread over mass and distance.  G is the amplification factor that turns stored curvature (as twisted, deformed geometry) plus energy distribution into actual acceleration along the CM–CM axis.  ​

 

In GEMSTone, dx^2/dt^2 = dx/dt * C/2D = dx/2D * C/dt.

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So G = dx/m * dx/2D * C/dt as well.. even

G = dx^2/(2*m*D) * C/dt

where:

• dx/m → how much distance per unit mass is interacting (a kind of distance–mass density);

• dx/2D → deformation potential (translation relative to object size);

• C/dt → curvature‑change rate (how fast direction can change),

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so in general terms, G is (distance–mass_density) x (deformation_potential)} x (curvature_rate)

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Interpretive Summary

• G is not universal or constant — it is emergent, shaped by the internal geometry of each body.

• Large bodies dominate the system G, masking deviations from smaller partners.

• The amplification of the gravitational effect beyond inverse-square arises from released twist strain energy in the mass.

• Deviations in G are experimentally invisible unless both bodies are comparable in mass and geometry (e.g., binary stars).

• Galactic anomalies may reflect system-level amplification, where the mass distribution in Spiral galaxies is different than other geometries, like Elliptical (Spiral being more planar and less spherical).

Consequence

• Gravity is not a force between point masses.
  It is a relational amplification between assemblies having stored potential energy released in deformation of interaction.

• The geometry of the mass system, as well as the direction distinction between matter and antimatter, — not just its quantity — determines gravitational behavior.

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