{"id":"hyp-hyper-ribbon-mlip-transfer","title":"Hyper-Ribbon Transfers Classical → MLIP","subtitle":"Cross-paradigm ribbon transfer — per-element counts under re-audit after Born screening (2026-06); directional structure confirmed at 8–11 models.","category":"conjectures","tags":["hyper-ribbon","mlip","de-myopization"],"source":"articles/docs/conjectures/hyper-ribbon-mlip-transfer.md","lang":"en","words":346,"readMinutes":2,"toc":[{"depth":2,"text":"Current status after Born screening","id":"current-status-after-born-screening"},{"depth":2,"text":"Claim","id":"claim"},{"depth":2,"text":"Historical evidence (pre-screening; do not cite as current counts)","id":"historical-evidence-pre-screening-do-not-cite-as-current-counts"},{"depth":2,"text":"Why it matters","id":"why-it-matters"},{"depth":2,"text":"Next","id":"next"}],"html":"<h1 id=\"hyper-ribbon-transfers-classical-mlip\">Hyper-Ribbon Transfers Classical → MLIP</h1><p><strong>Status: Open — under Born-screened re-audit</strong></p>\n<h2 id=\"current-status-after-born-screening\">Current status after Born screening</h2><p>The pre-screening “14/15 elements stay on the ribbon” count is no longer citable\nas a settled MLIP-transfer result. Born stability screening (see\n<code>replication/error-geometry/</code>, prereg commits <code>dffbe595</code>/<code>ebf39e33</code>) excludes 7\nof 45 foundation-model elastic tensors — including <strong>CHGNet-Fe</strong> (C11 &lt; |C12|),\nMACE-V, and Orb-v3 Al/Nb/Pb/Pt — so any per-element participation-ratio or\non-ribbon count computed from the unscreened trio inputs must be recomputed.</p>\n<p>What survives is narrower but still important: at n = 8–11 Born-stable models per\nelement, the error axis remains strongly one-dimensional for all 15 elements\n(rank-1 share 0.56–0.94). The current claim is therefore directional\nlow-dimensional structure in screened inputs, not a restored 14/15 per-element\ncount.</p>\n<h2 id=\"claim\">Claim</h2><p>The hyper-ribbon is not a quirk of classical force fields. The live question is\nwhich parts of that low-dimensional error geometry survive when modern foundation\nmachine-learning interatomic potentials (MLIPs) are added to the corpus after\nmechanical-stability screening.</p>\n<h2 id=\"historical-evidence-pre-screening-do-not-cite-as-current-counts\">Historical evidence (pre-screening; do not cite as current counts)</h2><p>Ingested one foundation MLIP at a time on the 15 IMMI elements:</p>\n<ul>\n<li><strong>MACE-MP-0:</strong> 14/15 elements stay on the hyper-ribbon.</li>\n<li><strong>CHGNet</strong> (added on top): 14/15 still on the ribbon.</li>\n<li><strong>Orb-v3</strong> (completing the trio): 14/15 still on the ribbon; the held-out\nexception (Fe) is consistent across all three — see\n<a href=\"#/read/hyp-fe-persistent-outlier\">Fe persistent outlier</a>.</li>\n</ul>\n<p>Separately, the corpus was <strong>de-myopized</strong>: it had been ~99.5 % elastic-constant\nrecords. Recovering real lattice constants (<span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>a</mi><mn>0</mn></msub></mrow><annotation encoding=\"application/x-tex\">a_0</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">a</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span>) from MLIP provenance (45 records)\nand forcing a joint <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>C</mi><mrow><mi>i</mi><mi>j</mi></mrow></msub><mo>+</mo><msub><mi>a</mi><mn>0</mn></msub></mrow><annotation encoding=\"application/x-tex\">C_{ij}+a_0</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">ij</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span></span></span></span></span></span></span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span><span class=\"mbin\">+</span><span class=\"mspace\" style=\"margin-right:0.2222em;\"></span></span><span class=\"base\"><span class=\"strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\">a</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> manifold, the ribbon <strong>survives</strong> (participation\nratio 1.05–2.05). So it is not an artifact of one property family.</p>\n<h2 id=\"why-it-matters\">Why it matters</h2><p>This remains the genuinely important target: the prior — stated explicitly before\nthe test — was that the ribbon/dichotomy would <em>not</em> transfer from classical to\nMLIP. The screened directional signal suggests the geometry may still transfer,\nbut the old element count cannot be promoted until it is recomputed on valid\ntensors.</p>\n<h2 id=\"next\">Next</h2><p>First recompute the classical-to-MLIP transfer count on Born-stable inputs. Then\nadd <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>E</mi><mtext>coh</mtext></msub></mrow><annotation encoding=\"application/x-tex\">E_\\text{coh}</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">coh</span></span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> and <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msub><mi>B</mi><mn>0</mn></msub></mrow><annotation encoding=\"application/x-tex\">B_0</annotation></semantics></math></span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"></span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B</span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.0502em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"></span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0</span></span></span></span><span class=\"vlist-s\">​</span></span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span></span></span></span></span></span></span></span></span></span> from the Phase-D compute pipeline so the manifold\nspans four property families, and re-test ribbon stability across the wider basis.</p>\n"}