Holes & Vortices

A Galaxy Is a Whirlpool: The Physical Analogy Behind Black Holes Without Singularities

Look down a bathtub drain as the water spirals in, and you’ll see a small, stable, empty-looking eye at the centre, surrounded by rotating fluid. It’s a familiar, almost trivial piece of everyday physics. The Big Flare-Up Theory (BFUT) makes an unusually direct claim in Paper 28: a galaxy, with its central compact object, is the same physical process, not a metaphor borrowed for intuition, but the same class of physical mechanism, operating in a different medium under different boundary conditions.

Why This Isn’t Just a Metaphor

It would be easy to dismiss “a galaxy is like a whirlpool” as loose popular-science language, the kind of comparison made for accessibility and abandoned the moment real physics starts. BFUT’s claim is stronger and more specific than that, and it comes with explicit conditions attached. The analogy holds exactly when three physical conditions are met: first, the medium involved is the Spaticle field rather than water, with its own equilibrium density ρ_s = 5.9 × 10⁻²⁷ kg/m³ and elastic stiffness K_s = ρ_s c² = 5.30 × 10⁻¹⁰ Pa in place of water’s properties; second, the vortex is fully immersed volumetrically across the entire 4π steradians of solid angle in three-dimensional space, rather than being confined to a two-dimensional surface the way a bathtub whirlpool is; and third, space is infinite, with no boundary to absorb angular momentum and no cosmological-scale friction to dissipate it, so the rotational speeds and persistence timescales involved can vastly exceed anything a water whirlpool could sustain.

Given those three conditions, the paper’s position is that the correspondence isn’t approximate: the formation mechanism, the fact that an eye appears at the centre, and the way matter behaves on encountering the vortex all map onto each other exactly. It’s the same physical process, in a different medium, at a different scale.

The Eye Isn’t a Separate Object

The most important structural claim is about what the “eye” actually is. In an ordinary whirlpool, the central depression isn’t a separate thing that happened to migrate to the middle of the rotating water: it’s the direct structural consequence of the rotation itself. Stop the rotation and the eye disappears; the water simply becomes still. Sustain the rotation and the eye persists for exactly as long as the rotation does.

BFUT applies the identical logic to a galaxy’s central vortical compression core. It isn’t a pre-existing object that happened to sink to the centre of the galaxy over cosmic time. It’s the structural consequence of the galaxy’s own rotational dynamics, exactly as the eye of a whirlpool is the consequence of the water’s rotation. This reframing does real work, because the galaxy is a fully three-dimensional volumetric vortex rather than a surface phenomenon: the outward redistribution of substrate is dramatically more efficient than anything possible in a two-dimensional whirlpool, which is the specific mechanism the paper credits for why these vortical cores don’t collapse into singularities despite containing enormous mass. The outward redistribution flux, in three dimensions, exceeds the inward collapse pressure in every regime the paper examines.

Three Ways Matter Behaves at the Vortex: and Three Real Astrophysical Phenomena

The most concrete part of the analogy comes from asking what happens to different kinds of matter that fall into the vortex, using a direct comparison to objects dropped into a fluid whirlpool.

The plastic ball, intermediate density and structural integrity, gets caught by the rotational flow without either penetrating to the centre or coming apart. It settles into orbit within the surrounding rotating region. Astrophysically, this is matter achieving a stable orbit in an accretion disk, circulating at or above the innermost stable circular orbit, gradually spiralling inward over long timescales.

The dough ball, soft, low structural integrity, gets torn apart by the differential rotational forces at the boundary of the vortex, and its material disperses into the surrounding medium. This maps directly onto tidal disruption events, the observed phenomenon where a star straying too close to a galactic core gets shredded by tidal forces, its material scattering into the accretion disk and surrounding interstellar medium. Tidal disruption events are the confirmed observational counterpart of the dough-ball regime.

The metal ball, dense and rigid, carries enough momentum to punch through the rotational flow rather than being captured or torn apart. It penetrates to the core, gets compressed and decelerated by the organised substrate there, and is expelled along the axis of rotation, the direction of least resistance, as concentrated energy. This is the paper’s account of relativistic jets: not an anomaly needing a separate explanation bolted onto black hole physics, but the direct substrate analogue of the metal ball, matter transformed by the vortex and returned to the surrounding field as structured, high-velocity outflow.

Three household objects, three distinct outcomes, three real, independently observed astrophysical phenomena: mapped without needing three separate ad hoc explanations.

What This Means for the Information Paradox

The black hole information paradox, in its standard form, depends on infalling information crossing a one-way surface and being destroyed at a singularity. BFUT’s account removes both ingredients: without a true singularity or a strictly one-way boundary, there’s no mechanism left to destroy anything. Information about infalling matter, its mass, composition, angular momentum, gets encoded instead in organised deformation patterns of the substrate itself, and carrier relaxation emission propagating outward eventually carries that encoded information back out. The whirlpool illustrates the same principle in its own medium: a dough ball torn apart in a real whirlpool doesn’t have its material destroyed, just redistributed, in an increasingly diffuse but still physically present form, through the surrounding water. The illustration helps intuition; the actual argument rests on the substrate physics, not on the analogy standing in for a proof.

The Universal Centrality Rule

The whirlpool framing also underwrites one of the paper’s sharpest, most checkable claims: the Universal Centrality Rule, which states that the vortical compression core of any settled-state host system sits exactly at that system’s dynamical centre, a claim the paper reports holding without exception across every galaxy examined, from dwarf irregulars to giant ellipticals, at every redshift where resolution allows a check. This follows directly from the whirlpool logic: a core cannot sit apart from the rotating mass that sustains it, any more than the eye of a whirlpool can drift away from the rotating water producing it. Apparent counterexamples, recently observed offset compact objects like AT2024tvd and the MaNGA 12772-12704 system, are both explicitly attributed by their own discoverers to recent galaxy mergers. BFUT’s account treats these not as exceptions but as cores still in transit toward a new dynamical centre after a merger disturbed the old one, exactly as the rule predicts they should be, and exactly as a displaced whirlpool eye would be expected to recentre once the surrounding fluid’s rotation settles down.

Why the Analogy Earns Its Place

What makes this more than an accessible teaching device is that every part of it is doing genuine explanatory work rather than decorative work. The three stated conditions specify exactly where the analogy is expected to hold and why the astrophysical version is more extreme than anything achievable in water. The three matter-transformation regimes correspond to three independently observed and named astrophysical phenomena, not three invented categories designed after the fact to fit. And the core structural claim, that the eye is a consequence of rotation and not a separate object, is precisely the mechanism the paper uses to explain why these cores don’t collapse to singularities in the first place. A good physical analogy earns its keep by making correct, checkable predictions once you take it literally rather than loosely. This one does.

Derived in BFUT Paper 28, “Black Holes Demystified,” Section 4, building on Paper 6 and Paper 26.

Download BFUT papers, simulation code, and companion materials: vijayshankarsharma.com/downloads/