Paper C The Crag Draw Network: Extended Anchor Equation Evidence for Cosmological Substrate Pre-Strain in the Burdick Crag Mass Framework

Version 1.0: This paper presents three new findings from the Burdick Crag Mass (BCM) framework extended to a cosmological network model using the five-term Extended Anchor Equation established in BCM v27. The BCM rotation curve correction signal has a network topology fingerprint. Applying the Crag Intensity Index to 175 galaxies from the SPARC rotation curve catalog classifies them as ROOT, BRANCH, LEAF, or VOID-EDGE crag nodes in a hierarchical substrate draw network. BCM rotation curve correction is concentrated in MID-mass BRANCH recipient galaxies (82.1% beat Newton) rather than HIGH-mass ROOT source galaxies (44.7%), consistent with ROOT nodes exporting substrate outward through the network rather than consuming it locally. This inversion is the rotation curve fingerprint of the dual-flow crag model in which ROOT galaxies pump substrate outward to BRANCH and LEAF recipients while simultaneously drawing void substrate inward to replenish the field. After removing 73 of 175 physically implausible MOND comparison rows (BCM advantage exceeding 75 percent of peak rotation velocity or exceeding 30 km/s in dwarf galaxies), BCM advantage over MOND decreases with estimated SMBH mass proxy derived from the M-sigma relation (rank correlation minus 0.42, 102 clean rows). Low-mass galaxies with estimated SMBH mass below 10 to the sixth solar masses show BCM beating MOND in 59 of 59 cases. This is inconsistent with local J-Vorticity as the primary substrate source and consistent with cosmological substrate pre-strain: the substrate field was initialized by a Bang-type rip at universe formation, maintained locally by SMBH activity but not generated by local engines. CMB alignment analysis using real Planck 2018 SMICA temperature data at 21 galaxy sky positions (HEALPix nside=64) reveals that Planck thermal and CMB-frame kinematic alignment proxies are orthogonal (rank correlation minus 0.047), indicating two independent signals for primordial substrate topology. An empirically locked unified alignment signal at 60 percent Planck thermal and 40 percent kinematic identifies nine stable backbone crag nodes in the Local Volume whose classification is proxy-independent. Together these three findings support the Primordial Gutter Hypothesis (Burdick 2026): the BCM substrate field was initialized by a simultaneous multithreaded manifold rip at universe formation with the resulting scar topology encoded in the CMB anisotropy field. Every observable galaxy is a restoration artifact organized around a node of that primordial crag network. The substrate is inherited from the Bang, not generated by the current central engine. Data and code: BCM Substrate Solver v28, Zenodo DOI 10.5281/zenodo.20120354. CMB temperature data: Planck 2018 SMICA full-sky map (COM_CMB_IQU-smica_2048_R3.00_full.fits) from the ESA Planck Legacy Archive (https://pla.esac.esa.int/), downsampled from nside=2048 to nside=64 using the healpy Python package. Emerald Entities LLC — GIBUSH Systems (self-funded independent research). All theoretical concepts originated with Stephen Justin Burdick Sr.