5. The Macroscopic Output: The Geometric Hierarchy

If gravity is the result of the "Pincer Motion" (Sagitta + Phase Accumulation), how does this manifest in the macro world? It emerges as a Geometric Multipole Expansion. The power law depends entirely on the angular relationship (Geometric Fidelity) between the source and the target, it is emergent from the flux organically.

CMFT predicts that the strength of interaction scales based on the "Field of View" of the flux connection:

• The Far-Field Baseline (1/r²): When distances are vast (relative to the size of the object), the source appears effectively as a point. The complex internal angles of the Sagitta vectors average out into a simple spherical spread. This recovers standard Newtonian Gravity, ensuring the long-term stability of planetary orbits.
• The Near-Field Correction (1/r⁴): As objects approach (or if one object is physically massive, like the Sun relative to Mercury), the Volumetric Angle becomes significant. The flux is no longer arriving from a "point," but from a wide geometric arc. This introduces a Geometric Drift term—a "friction" caused by the angular misalignment of vectors across the volume.

The Precession Mechanism

This "Geometric Drag" is what standard physics calls the Quadrupole Moment. For distant planets (like Pluto), the Sun is a dot; the angular variance is zero, and the 1/r⁴ term vanishes, leaving pure Newtonian ellipses.

For Mercury, however, the Sun looms large in the sky. The volumetric spread of the flux means the "Pincer Motion" is acting across a wide angle. This creates a persistent, non-canceling purely geometric torque on the orbit. The observed precession is not the result of curved spacetime, but the mechanical result of orbiting inside the Near-Field Volume of a massive flux generator.

Visualizing the Sagitta

To understand why volume creates this extra drift, we must visualize the path of momentum flux. The diagram below triangulates the influence from the Top and Bottom of a matter clump onto a Target.

The straight dotted line represents the chord, this is for visual reference only. The actual influence traces an arc (finite speed/phase accumulation). The statistical "Center of Mass" of this influence (Red Dot) sits in the belly (Sagitta) between the arc and the chord.

The net vector (Gold Arrow) points from the Target to this Geometric Midpoint. In the Near Field, this midpoint shifts slightly due to the angular spread, creating the 1/r⁴ correction.