Short explanations, Chapter VII

The vortex flow term

RSI adds a vortex flow term to the orbital velocity equation, giving a constant velocity floor in the outer galaxy.

v(r) = √(GM / r) + β(∇ × Φ)

RSI modifies the standard equation for orbital speed. It adds a Flow Term drawn from the kinetic part of the RSI Lagrangian, the master formula that describes the field's energy.

In this account, a star's total rotational velocity v(r) is the sum of two pieces. The first is the familiar Newtonian term, √(GM / r), set by the mass M inside the orbit and the distance r. The second is the azimuthal flow velocity of the Consonance vortex, written β(∇ × Φ). Azimuthal means circling around the center, and ∇ × Φ (the curl) measures how strongly the field swirls.

Near the center, the Newtonian term dominates, and the gravity of the central bulge sets the motion. Far out, the Newtonian term fades toward zero, but the vortex term holds steady. In a universal continuum similar to a superfluid, the vortex's angular momentum is conserved and spread outward. This creates a constant velocity floor, which matches the flat rotation curves astronomers observe.

From the paper: Chapter VII, The Derivation. Read the full section

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