The Vortex Passport of cosmic structures

Abstract

This part establishes the orbital invariant (Square of velocity multiplied by Radius) as a fundamental passport of bounded orbital systems. We demonstrate its calculation across various scales, proving that system mass is an intrinsic product of the medium's vortex potential.

We apply the verified Vortex Passport invariant to galactic disk dynamics. By calculating the mass bound strictly within internal radii, we resolve the missing mass problem without invoking non-baryonic matter particles.