At the centre of every black hole, according to the standard model, is a singularity, a point of infinite density where the known laws of physics break down. General relativity predicts it. The mathematics demands it. And physicists have been uncomfortable with it for as long as black holes have been discussed.

Infinity appearing in a physical equation is not a result. It is a signal. A signal that the model has been taken beyond its range of validity, or that the coordinate system being used is misleading about what the physics actually requires.

The Big Flare-Up Theory proposes that black holes are gravitational vortices, not singularities. And that this interpretation explains every observed feature of black hole candidates without requiring a single point of infinite density.

The Event Horizon Is Already Explained by Orbital Mechanics

The rotational velocity required for a circular orbit at radius r around mass M is:

v = √(GM/r)

At the Schwarzschild radius rs = 2GM/c², this velocity equals c. The speed of light. Nothing can orbit faster than c. Nothing can escape from inside this radius.

The event horizon is therefore not the boundary of a singularity. It is the radius at which orbital velocity reaches c. It is a vortex boundary, the point at which the rotational dynamics of the system prevent escape, not the surface of an infinitely dense object.

The Kerr Solution Already Describes a Vortex

The Kerr metric, the general relativistic solution for a rotating massive object, describes exactly what a vortex looks like in curved spacetime. The outer event horizon is at:

r+ = GM/c² + √((GM/c²)² − (J/Mc)²)

where J is angular momentum. The ergosphere, the region outside the event horizon where spacetime itself rotates, is a direct consequence of the vortex structure. Frame dragging, confirmed by Gravity Probe B, is the gravitational equivalent of the rotational entrainment seen in fluid vortices.

The singularity at r = 0 in the Kerr solution is a coordinate singularity, a mathematical artefact of the coordinate system used, not a physical infinity. This is acknowledged in the literature. The ring singularity of the Kerr solution is not physically real; it is where the coordinate system breaks down.

What the Vortex Model Predicts

Every directly observed feature of black hole candidates is predicted by the vortex model. Event horizons: the vortex boundary at which orbital velocity reaches c. Accretion disks: matter spiralling into the vortex along angular momentum gradients. Relativistic jets: outflow along the vortex axis, where centrifugal effects create an escape channel. Gravitational lensing: spacetime curvature from the mass concentration. Gravitational wave emission: produced by vortex mergers, exactly as observed by LIGO.

Flat Rotation Curves Without Dark Matter

The vortex model has a direct consequence for galaxy dynamics. Matter orbiting within the vortex structure of a galactic core experiences centripetal force from both the enclosed mass and the angular momentum distribution of the vortex itself. This produces flat rotation velocity profiles at large radii, the observation currently attributed to dark matter halos.

A proof-of-concept simulation of 200 bodies with net angular momentum produces flat rotation curves with outer-to-inner velocity ratio of 0.71, rising to 0.78 to 0.85 at larger N, with angular momentum conserved throughout. No dark matter. No hidden mass. Pure vortex dynamics. The simulation is available at vijayshankarsharma.com/rotation.