Satellite Phase Space

The ΛCDM Tension

Dwarf satellites of the Milky Way, Andromeda, and other nearby hosts show striking phase-space correlations: thin co-rotating planes, kinematic pairs, and lopsided orientations toward companion galaxies (Kroupa 2005; Pawlowski 2018; Ibata 2013; Pawlowski 2021). These patterns are exceedingly rare in ΛCDM simulations where satellite subhalos populate random or transient configurations.

The ΛCDM Assumption That Creates It

The standard model has satellites accreting stochastically over cosmic time, so phase-space configurations should be random or only briefly planar. The observed long-lived kinematically coherent satellite structures around multiple hosts has nowhere to go in the model except as statistical anomaly or as evidence for filamentary infall coincidence.

SCT Resolution: M3 (Angular Momentum Inheritance)

SCT replaces the hot-dense-center with a superluminal collision and the thermalized debris field. From this single change, the Milky Way satellite phase-space coherence is a shared-cascade-J inheritance signature, the same mechanism that produces the MW VPOS satellite plane (recid 130). MW satellites form together with their host as cascade-debris siblings of the same parent cascade event, all inheriting the same parent J = μ(b × v_rel) vector at deposition (P22, P25, P31, P32).

The phase-space correlations therefore exist by construction: positions are aligned in the cascade-deposited plane, velocities are aligned through shared inherited bulk J, and pair-kinematics reflect cascade-stage subhierarchies among the satellite population. Sibling pockets (P58, P59, P60) extend the coherence to the multi-Mpc scales where the broader Local Group satellite-system structure forms. Lopsidedness toward companion galaxies (e.g., M31 satellites lopsided toward MW) reflects the broader Local Group cascade-stream context where MW + M31 are themselves siblings in the parent cascade event.

Gravitational superposition (P50, P51, P52, P54) gives apparent satellite-system dynamical mass without invoking exotic CDM particle halos. The same M3 framework that produces the MW VPOS (recid 130), the M31 plane (recid 131), the Cen A streams (recid 134), and other satellite-plane phenomena accounts for the broader satellite phase-space structure as predicted cascade-inheritance rather than statistical anomaly.

Falsifier

If LSST + Roman + Euclid systematic survey of greater than 20 hosts finds satellite phase-space coherence statistically consistent with ΛCDM stochastic-accretion expectations at the 5% level (no shared-cascade-J inheritance signature), the M3 explanation is refuted. The signature SCT prediction is universal phase-space coherence around all sampled hosts with the cascade-J alignment.

Premise Grounding

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