{"compile":"2026-10-10","canonical":"https://aaronspradlin.grok.me/wiki/tsp-backbone","json":"https://aaronspradlin.grok.me/page.json?slug=tsp-backbone","license":"Source-available for noncommercial research and evaluation only. No commercial, product, platform, or service use without written permission.","scientific_breakthrough":false,"slug":"tsp-backbone","title":"TSP coherence backbone","dek":"Fractal traveling-salesman transfer: a smoother information-bearing tour, not a shorter one. Restricted empirical on a posted 100-point 3D cloud. Not a championship solver.","updated":"2026-09-07","status":"applied","claim":"restricted","tags":["TSP","coherence","python","applied"],"related":["applied-stack","critical-path","protein-audit","c3-governor","proofs-and-simulations","claim-ledger","start-here"],"packages":[],"notes":[{"id":"tsp-backbone-2026-04-11","title":"TSP coherence backbone vs nearest-neighbor","date":"2026-04-11","xUrl":"https://x.com/aaronspradlin/status/2042771943347384555"},{"id":"unify-domains-2026-05-10","title":"What unifies proteins, RCLC, critical path, TSP","date":"2026-05-10","xUrl":"https://x.com/aaronspradlin/status/2053553647712338040"},{"id":"critical-path-2026-05-01","title":"Retained coherence in live critical path","date":"2026-05-01","xUrl":"https://x.com/aaronspradlin/status/2050029681517433047"}],"claims":[{"status":"restricted","text":"On the posted 100-point 3D cloud, the UQCF-GEM ensemble is a longer, higher-coherence backbone than nearest-neighbor. That is a different objective, not a TSP solver championship, and not a protein-backbone derivation.","noteId":"tsp-backbone-2026-04-11"}],"text":"The traveling-salesman transfer is the cleanest statement of Spradlin’s applied objective. On 11 Apr 2026 he posted a 100-point 3D cloud run against nearest-neighbor. Nearest-neighbor was shorter and more jagged. The UQCF-GEM ensemble was longer and smoother — a backbone, not a length champion. Same recoverability operator as the protein audit and the live critical path: preserve local directional coherence under fractal scaling, do not greedily spend the remaining distance.\n\nThis is not TSP optimization. It is emergent structure from local rules plus scale invariance. A shorter tour is the wrong scoreboard.\n\nOn the posted 100-point 3D cloud, the UQCF-GEM ensemble is a longer, higher-coherence backbone than nearest-neighbor. That is a different objective, not a TSP solver championship, and not a protein-backbone derivation.\n\nPosted numbers\n\nSame 3D point cloud, different objective. Nearest neighbor minimizes local distance. UQCF-GEM propagates by preserving local directional coherence under fractal scaling. The result is not a shorter tour, but a smoother, information-bearing backbone.\n\nAbsolutely agree — NN locks in a shorter, jagged tour by greedy local distance (coherence 0.2267), but UQCF-GEM's fractal coherence propagation yields a smoother, backbone-like path (0.5251) even if longer. It's not TSP optimization; it's emergent structure from local rules + scale invariance.\n\nPython — the operator, not the solver\n\nNo Tmp/TOE folder was required for this result to exist. The 100-point comparison is an X result with posted numbers. The live lab reconstructs the same remember-what-survived choice — next hop maximises heading continuity under a weak distance tax — on a 32-point teaching cloud. That toy is not the posted residual.\n\ndef coherence_backbone(pts, start=0, lam=0.42):\n    # First hop: nearest neighbor. After that, preserve heading.\n    heading = unit(prev, cur)\n    score = dot(heading, unit(cur, cand)) - lam * (dist(cur, cand) / mean)\n    # pick max score among unvisited. Not 2-opt. Not Christofides.\n\nWhat this does not show\n\nNot a championship TSP solver and not a claim that UQCF-GEM beats Concorde.\nNot a protein-backbone derivation, even though the protein lab uses the same operator.\nThe 31 Mar 10k-city vs nearest-neighbor origin story is not this numbered result.\nNot gravity, not a unification proof with critical path or Villin HP35.\n\nLive TSP lab\nApplied recoverability stack\nNew Critical Path\nWetLabEngine protein audit\n100-point TSP backbone (11 Apr)\nWhat unifies them (10 May)","howToCite":"Spradlin, A. (2026-10-10). TSP coherence backbone. Retained Atlas. https://aaronspradlin.grok.me/wiki/tsp-backbone. Keep claim badge: restricted."}