Cluster Substructure Excess

The ΛCDM Tension

Strong lensing observations of galaxy clusters reveal an excess of small-scale substructures by ~10× over ΛCDM predictions, with subhalos more compact and efficient at lensing than simulations expect (Meneghetti 2020; Natarajan 2017). The substructure crisis: real dark-matter structures are more resilient or numerous than collisionless CDM allows.

The ΛCDM Assumption That Creates It

The standard model has subhalos forming through hierarchical accretion in cuspy CDM halos with abundance + radial distribution + tidal-survival rates set by N-body simulations. The observed factor-of-10 GGSL excess demands either steeper inner DM profiles, modified DM physics (self-interacting DM, fuzzy DM), or finely tuned baryonic feedback. None is parsimonious.

SCT Resolution: M6 (Coherent Acoustic Superposition / No-DM-Particle Mesh)

SCT replaces the hot-dense-center with a superluminal collision and the thermalized debris field. From this single change, the cluster substructure excess is a gravitational-superposition signature. Substructure compactness comes from constructive coherent superposition of comoving baryonic matter throughout the parent hierarchy: Φ_eff = Φ_local + Φ_mesh (P50, P51), with the Φ_mesh contribution providing the additional gravitational binding that ΛCDM attributes to extra-CDM substructure.

The substructure-amplification factor A_sub² ≈ 10 to 16 (P52, Paper 13 Pred 34: A ∝ σ_v / v_cross from substructure velocity dispersion + crossing velocity) matches the Meneghetti GGSL factor-of-10 excess parameter-free. The compactness comes from the smoother mesh-superposition profile compared to NFW: substructure-scale Φ_mesh contribution is concentrated where the constituent baryons are coherent, producing compact lensing signatures without requiring exotic DM concentration.

Pre-existing matter (P25) gives substructure-population diversity. Angular-momentum inheritance (P31, P32) gives substructure orientation alignments through cascade-J inheritance. The same M6 framework that resolves the A_lens excess (recid 16, 30), the time-delay lensing H₀ offset (recid 54), the rotation-curve diversity (recid 112), the SHMR (recid 115), and the broader no-DM-particle phenomenology accounts for the cluster substructure excess. There is no need for modified DM physics or fine-tuned feedback.

Falsifier

If precision JWST + Euclid + Roman cluster GGSL surveys find substructure excess fully resolvable by improved CDM-feedback prescriptions at the 5% level (no Φ_mesh-coherent-superposition signature), the M6 explanation is refuted. The signature SCT prediction is the A_sub² ~ 10 to 16 amplification matching the constructive-superposition formula across cluster + substructure populations.

Premise Grounding

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