Preprint Extends Dark Matter-Baryon Separability to Baryon-Depleted Galaxies Using TTT J1237327+143535

The paper treats the galaxy as the conjugate case to dark-matter-deficient systems such as NGC 1052-DF2. It imposes a separability condition that links the unknown initial baryon-to-dark-matter ratio to present-day line-of-sight velocity dispersion, dynamical mass, and enclosed baryonic fraction. Thresholds are obtained analytically; for μ_i near 0.3 the model requires σ_los < 15 km s⁻¹ and M_dyn/L > 50 within the stellar half-light radius. Globular-cluster abundance is tied to halo mass via an empirical scaling calibrated on Virgo dwarfs, supplying an orthogonal test. Tidal stripping bounds from the galaxy’s projected distance in the Virgo Cluster further restrict allowed μ_i values to 0.25–0.45.

Contextual analysis shows the framework unifies two previously separate populations—dark-matter-deficient and baryon-depleted galaxies—under one parametric family. Earlier claims that DF2-like objects require exotic formation channels are reframed as the μ_i > 1 branch of the same relation. The approach therefore predicts that any galaxy whose observed kinematics fall outside both branches must invoke additional physics such as modified gravity or non-standard dark-matter interactions.

Future observations of stellar kinematics with integral-field spectrographs, deep HI mapping, and globular-cluster luminosity functions can falsify the model within two years. Confirmation would tighten constraints on baryonic feedback efficiency in cluster environments and on the minimum halo mass that retains gas against ram-pressure stripping.