Carina Velocity Gradient

The ΛCDM Tension

Carina shows internal velocity gradients, kinematic substructure, and episodic star formation building distinct populations (Munoz 2006; Fabrizio 2011), in a system the model requires to be a dispersion-supported ball inside an isothermal CDM halo. The tides invoked to stir it would threaten the survival of the structure they are stirring (Lokas 2009).

The ΛCDM Assumption That Creates It

A dwarf spheroidal in the standard picture has no business rotating: its kinematics are randomized by construction, so any ordered gradient must be imported by tidal interaction, with orbits tuned strong enough to torque the stars yet gentle enough to leave the galaxy intact, a needle that narrows with every intact feature observed.

SCT Resolution: M3 (The Gradient Came With the Galaxy)

SCT lets Carina rotate for the oldest reason in the framework: it was born with angular momentum. Every structure condensing from the collision debris field inherits its share of the deposited J = μ(b × v_rel) (P31), conserved down the hierarchy to the smallest fragments (P32), so a dwarf spheroidal carrying a faint ordered velocity gradient is not an anomaly requiring a tidal sculptor; it is the expected residue of inheritance at the low-mass end of the J ∝ M^(5/3) ladder. The gradient is small precisely because Carina is small, and it is ordered because conservation laws do not randomize.

The apparent dark-matter dominance is the M6 companion: Carina's dynamical mass is its baryons amplified by the coherent mesh contribution (P50, P52), not a particle halo, with the amplification tracking the system's coherence state, the same dial carrying the dwarf-core sector (recid 127) and the diffuse-galaxy limit. The episodic populations ride on the deposit's heterogeneity: cascade-thermalized reservoirs with internal structure (P25) feed star formation in separated bursts without external triggers. The registered orientation test follows directly: Carina's gradient axis should relate to the Local Group's inherited J architecture, the same geometry organizing the satellite planes (recid 130), rather than to its instantaneous tidal vector. The inheritance formalism is in Paper 5, From Chaos To Corotating Hierarchies.

Keystone economy: P31 supplies the gradient, P32 preserves it, P50 fakes the halo. No tuned orbit is owed to anyone.

Falsifier

Gaia-era proper motions and deep multi-object spectroscopy carry the kill: if Carina's full three-dimensional kinematics resolve the gradient into a pure tidal signature, aligned with the orbital tidal vector and accompanied by the predicted disruption features, the inherited-rotation reading is unnecessary. SCT separately requires gradient axes across the dwarf spheroidal population to correlate with the Local Group's shared J geometry; gradients oriented randomly with respect to the satellite-plane architecture would refute the inheritance account at the population level.

Premise Grounding

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