P-DM1 — Dark Matter Halo Core Scaling

P-DM1 states a precise, falsifiable prediction for dark matter halo cores derived from Cohesion Dynamics. The prediction concerns the scaling of halo core radius with total halo mass and the emergence of an approximately constant central surface density.

Prediction (P-DM1): Dark matter halos exhibit boundary-limited saturation with universal square-root scaling: $r_c \propto M^{1/2}$, and characteristic central surface density $\Sigma_0 \sim 100\,M_\odot\,\mathrm{pc}^{-2}$.

Physical Basis (from G1–G4): Gravity arises from availability gradients in CIU constraint saturation. CIU constraint saturation plays substrate role of mass–energy; closure saturation limits central compaction; extreme constraint saturation induces self-limiting core, not cusp. Reconciliation is a boundary process, not a volume process—CIUs reconcile with neighbors across interfaces, mismatch flows across reconciliation surfaces, closure delay accumulates along reconciliation chains.

Falsification Criteria: Specified mathematically without empirical fitting or simulation. Any significant deviation from predicted scaling or surface density falsifies CD in its current form.

Scope: This paper only states what must be observed if CD is correct. Does not analyze observational data, compare against other theories, introduce fitting procedures, or discuss datasets—those belong to application papers (e.g., E-DM1).

Paper ID: CD-P-DM1 | Series: P-series (Predictions) | Status: Draft | Dependencies: G4, M-series