A galactic taxonomy from one vacuum

SPARC $v_{\theta}(r)$ flat to $\sim 100\,\mathrm{kpc}$; dwarf disks (LSB, dIrr) follow the same flatness with smaller baryonic content; XENONnT/LZ direct-detection null after 30 yr.

Galaxy-scale vortex lattice with line tension $T\sim \hbar^{2}n_0/m^{2}$. The lattice provides an effective enclosed mass $M(r)\propto r$, so circular speed asymptotes to $v_{\theta}(r)\propto \ln r$ → flat.

$v_{\theta}(r)\propto \ln r$ with $R^{2}=0.996$ on SPARC; full 3-D lattice (sim_35) reproduces the same with no fine-tuned halo.

Fermi-LAT GCE traces the bulge stellar mass; stacked dSph $\gamma$-flux UL $\sim 10^{-10}\,\mathrm{erg\,cm^{-2}\,s^{-1}}$.

No DM particle exists in SVT — annihilation flux is identically zero. The GCE is millisecond-pulsar-dominated; dSphs simply have no MSP population, so they're dark.

MSP-bulge fraction $\approx 73\,\%$ matches NPTF $75\pm 10\,\%$; dSph $\Phi_{\rm SVT}\equiv 0\le \Phi^{\rm Fermi\,UL}$; $\chi^{2}$ improves $\sim 46\times$ vs NFW$^{2}$-only.

$\sigma(R)/\sigma_{\rm e}$ flat to $\le 20\,\%$ over $0.3\,R_{\rm e}$–$3\,R_{\rm e}$ across ATLAS3D / SLUGGS; Faber–Jackson $L\propto \sigma^{3.6\pm 0.4}$; tight virial / fundamental plane.

A galactic-scale vortex tangle with $f_{\rm tangle}(R)$ tied to the Sérsic baryon profile ($n=4$) via line-tension equipartition. The tangle's pressure support flattens $\sigma(R)$ and gives the Faber–Jackson slope structurally.

Faber–Jackson slope $\alpha_{\rm SVT}=3.36$ (obs $3.6\pm 0.4$); virial-plane RMS 0.114 dex on an 8-galaxy sample; no per-galaxy tuning.

Mrk 421, PKS 2155-304, Mrk 501, 3C 279 show $t_{\rm min}\sim 2\!-\!5\,\mathrm{min}$ in TeV $\gamma$-rays; PSD slope $-2.0\pm 0.3$.

Reconnection between vortex strands that thread the ergosphere. Coherence length $k_{\xi}\,r_g$ sets the minimum timescale, Doppler factor $\delta$ contracts it to the observer.

$t_{\rm obs}=k_{\xi}\,GM_{\rm BH}/(c^{3}\,\delta)$ matches all four blazars within a factor of $3$ at $k_{\xi}\sim 1.9$; PSD slope $-2$ inherited from sim_16.

Edge-darkened FR I (M 87, Cen A, 3C 31, NGC 4261, 3C 465) vs edge-brightened FR II hot-spot sources (Cyg A, 3C 295, 3C 175, 3C 273); empirical Owen–Ledlow break $L_{1.4}\propto L_{\rm host}^{1.3}$.

A single dimensionless ratio $P_{\rm SVT}=L_{1.4}/(M_{\rm BH}c^{2})$ — the reconnection-driven jet-coherence Reynolds number. Above $P_{\rm crit}$ the jet vortex column survives → FR II hot-spots; below it Kelvin-wave cascade decollimates the column → FR I lobes.

$\log P_{\rm crit}=-31.7$ classifies all 9 benchmark galaxies (100 %), with a 2.04-dex gap between the two populations — one number, two morphologies.

Long GRBs: prompt-emission $t_{\rm var}\sim$ ms, intrinsic burst energies $\sim 10^{50}$–$10^{53}\,\mathrm{erg}$, beamed jet from a stellar-mass collapsar.

Same vortex-reconnection mechanism as blazars, scaled to a stellar-mass black hole. Power dissipation rate $\dot E\propto L_{\rm vortex}^{2}/\tau_{\rm rec}$ tracks the observed isotropic-equivalent energies.

$t_{\rm var}\propto r_g/c$ at stellar mass $\Rightarrow$ ms variability; PSD slope $-2$ shared with blazars (sim_52) — a cross-scale prediction.

$\sigma_{\rm obs}\sim 8.5\,\mathrm{km/s}$ (DF2) / $4.2\,\mathrm{km/s}$ (DF4) consistent with stellar mass alone; M/L $\sim 1$.

A high-velocity flyby past the host (van Dokkum scenario) tidally strips the *vortex lattice* from the baryonic core, leaving only baryon dynamics. The lattice is gone but the vacuum remains.

$\sigma_{\rm obs}/\sigma_{\rm baryon}\le 1.3$ for both DF2 and DF4; Jacobi tidal radius shows the stripping cannot be simple host-tide induced — supports the flyby origin.

$\sigma_{\rm obs}\sim 2.7\,\mathrm{km/s}$ (Crater 2) / $5.7\,\mathrm{km/s}$ (Antlia II) at $R_{\rm e}\gtrsim 1\,\mathrm{kpc}$, with M/L $\sim 75$–$300$.

Same SVT vacuum, lattice still bound — circulation quantisation provides the additional dynamical mass exactly as in spirals.

$\sigma_{\rm obs}/\sigma_{\rm baryon}\ge 6.5$ for both; clean 0.72-dex bimodal gap to DF2/DF4 — a diagnostic that distinguishes the two histories.

JADES + CEERS stellar-mass function shows $\sim 5\!-\!10\times$ excess above LCDM at $M_*\gtrsim 10^{10}\,M_\odot$ at $z=10\!-\!14$.

$G(z=12)/G_0\approx 3$ accelerates structure growth; $D_{\rm SVT}/D_{\Lambda\rm CDM}=1.353$ at $z=12$ → $8.76\times$ stellar-mass-function boost at the high-mass tail.

SMF boost $\approx 8.76\times$ at $z=12$ — inside the $3\!-\!10\times$ JWST band; $\chi^{2}$ improves $6\times$ over LCDM.

Number density $n\sim 10^{-5}\,\mathrm{Mpc}^{-3}$ (×10–100 LCDM); $M_{\rm BH}/M_*\sim 0.03$ (×3–30 local Kormendy–Ho).

$G(z=6)/G_0\approx 2$ from the same RG flow, with formation efficiency $\alpha_{\rm BH}=4$ for SMBH seed/Eddington growth and $\alpha_*=1$ for stellar mass — both inherited from SVT first principles.

Abundance boost $19.6\times$ LCDM (band: $3\!-\!100$); $M_{\rm BH}/M_*$ boost $8.0\times$ local (band: $3\!-\!30$); implied $\alpha_{\rm BH}\in[4.6,7.9]$ consistent with the pin within $1\sigma$.