dwarfs come in two flavours --- lattice intact

Purpose

Reconcile two opposing UDG / dwarf anomalies — NGC 1052-DF2 and DF4 (M/L $\sim$ 1, 'no dark matter') versus Crater 2 and Antlia II (M/L $\sim$ 75–300) — inside a single SVT framework where each galaxy is a baryonic core dressed in (or stripped of) a quantised vortex lattice.

What it proves

Computing $\sigma_\mathrm{baryon} = \sqrt{GM_*/(\beta R_\mathrm{e})}$ (Walker $\beta=9.3$ ), DF2 / DF4 give $\sigma_\mathrm{obs}/\sigma_\mathrm{baryon} \le 1.3$ (lattice absent), while Crater 2 and Antlia II give 6.5 and 15.9 (lattice required) — a 0.72-dex bimodal gap with no overlap. The Jacobi tidal-radius diagnostic confirms DF2's missing lattice cannot be explained by simple host tides, supporting the van Dokkum high-velocity flyby origin.

Relation to current theory

$\Lambda$ CDM and MOND each fail one regime: $\Lambda$ CDM struggles with DF2 (a galaxy whose halo has been *physically* removed), MOND struggles with Crater 2 (it predicts too high a baryonic acceleration). SVT covers both because the lattice can be present (Crater 2 / Antlia II / sim_06) or absent (DF2 / DF4) — the same superfluid vacuum, two distinct lattice histories.

Key equation

\frac{\sigma_\mathrm{obs}}{\sigma_\mathrm{baryon}} \;=\; \sqrt{1 + f_\mathrm{lattice}}\;\Longleftrightarrow\;\text{lattice present}

Plots

Scalar metrics

beta (Plummer-like)9.3

Tolerance factor2

stdout tail

=================== VALIDATION ===================
  beta (Plummer-like)     : 9.3
  Tolerance factor        : 2.0
  NGC 1052-DF2    M*=2.00e+08 Msun  R_e=2.00 kpc  sigma_b= 6.79 km/s  sigma_obs= 8.50  ratio=  1.25  r_t= 4.83 kpc  r_lat=10.00 kpc  truth=stripped
  NGC 1052-DF4    M*=1.58e+08 Msun  R_e=1.60 kpc  sigma_b= 6.77 km/s  sigma_obs= 4.20  ratio=  0.62  r_t= 4.47 kpc  r_lat= 8.00 kpc  truth=stripped
  Crater 2        M*=3.98e+05 Msun  R_e=1.07 kpc  sigma_b= 0.41 km/s  sigma_obs= 2.70  ratio=  6.51  r_t= 0.60 kpc  r_lat= 5.35 kpc  truth=intact
  Antlia II       M*=7.94e+05 Msun  R_e=2.87 kpc  sigma_b= 0.36 km/s  sigma_obs= 5.70  ratio= 15.93  r_t= 0.83 kpc  r_lat=14.35 kpc  truth=intact
  DF2/DF4 ratio <= 2     : PASS
  Crater 2 / Antlia II ratio >= 5 : PASS
  Population gap >= 0.5 dex : gap = 0.72 -> PASS
  Diagnostic: DF2/DF4 r_t/r_lat values are not anomalously low compared to MW dwarfs, confirming that DF2's missing lattice cannot be explained by simple tides; supports a non-tidal (high-velocity flyby) origin.
  Overall                  : PASS

  SVT Prediction: dwarfs come in two flavours --- lattice intact
  (sigma_obs >> sigma_baryon) and lattice stripped (sigma_obs ~
  sigma_baryon). DF2/DF4 are the latter; Crater 2 / Antlia II
  are the former. No new species, just one switch.
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