A Course-Grained Grained Gravitational Weave (Version C)

Description: This preprint proposes a working model in which the extra gravity attributed to dark matter in galaxies comes from a coarse “weave” of strings linking our space to other realities. The strings are part of the geometry of space and carry only gravity, so other realities can be felt but not seen. Around settled galaxies the strings are collected into a weave that follows one universal rule: where visible gravity falls below a threshold of about 1.2 × 10⁻¹⁰ m/s², the weave adds extra pull. Elsewhere (in the early universe, galaxy clusters and young collision debris) loose strings act like ordinary dark matter. The most likely identity of that dark matter is our own matter, displaced onto other sheets within the first two minutes after the Big Bang. The model is tested against public data in 28 reproducible analyses. Across 175 SPARC galaxies, one rule with one number fits better than the other one-number models tested. Weak lensing of isolated galaxies follows the same rule to about 3 million light-years, with dark mass growing as the square root of visible mass (power 0.501). No preferred direction appears in the sky. Isolated dwarf galaxies follow the rule, while satellites of large galaxies sit above it, mostly because the neighbor-pull correction used here appears overstated. In a head-to-head on 153 galaxies, the weave predicts rotation curves best when nothing is fitted. Dark matter halos shaped by star-formation feedback fit better once each halo may vary within simulation scatter. Eight proposed extensions were tested and not supported, and the results are reported. The preprint states ten falsifiable predictions. These include wide binary stars following Newtonian gravity, tidal dwarf galaxies gaining the rule as they age, and the threshold rising with the cosmic expansion rate (a₀ = cH/2π). The first direct measurement of the threshold at redshift ~1 agrees with that last prediction; a Tully-Fisher study at the same epoch does not. This is a working model, not a finished theory: it has no equations yet, and its open problems are listed in full. The analyses were carried out with Anthropic and have not been peer reviewed. The zip contains the write-up (Word and PDF), two explainer figures, and the full test kit: 28 Python scripts, data download and run scripts, and the reference results behind this version. Keywords: dark matter; modified gravity; galaxy rotation curves; SPARC; radial acceleration relation; Tully-Fisher relation; external field effect; weak lensing; dwarf galaxies; tidal dwarf galaxies; Big Bang nucleosynthesis; wide binaries Version notes: Version 6 adds tests 19–28: displaced matter vs light elements from the first minutes string thickness and the square-root rule strand counting isolated vs satellite dwarf galaxies bumped strands, wakes, and sheets at every angle head-to-head comparisons with plain and feedback-cored dark matter halos It also: marks the neighbor-pull part of the model as under review identifies loose-string dark matter as displaced ordinary matter adds a working picture of how the rule might arise adds prediction P10 (threshold rising with the expansion rate) corrects the fitted threshold value (0.9 × 10⁻¹⁰ m/s² with the error floor, 1.2 × 10⁻¹⁰ without)