LoadbearA personal stream of ideas, in every state of doneness.https://loadbear.net/Can the Answer Cross the Bridge First?https://loadbear.net/ideas/can-the-answer-cross-the-bridge-first/https://loadbear.net/ideas/can-the-answer-cross-the-bridge-first/A tiny, falsifiable path-Laplacian retrieval lab: four planted answers, one tempting decoy cluster, and a fixed token budget.Wed, 15 Jul 2026 00:00:00 GMTmathgraphsdiffusionretrievalexperimentThe Laplacian Is the Shape of Disagreementhttps://loadbear.net/ideas/the-laplacian-is-the-shape-of-disagreement/https://loadbear.net/ideas/the-laplacian-is-the-shape-of-disagreement/The operator behind image edges, heat flow, graph Fourier modes, and the question I want to ask next: when should context travel through a network?Wed, 15 Jul 2026 00:00:00 GMTmathgraphssignal-processingrustexplorationWhen a Graph Can Feel Two Hops Awayhttps://loadbear.net/ideas/when-a-graph-can-feel-two-hops-away/https://loadbear.net/ideas/when-a-graph-can-feel-two-hops-away/A 2025 paper turns shortest paths into weak ties. The math is clean; whether it helps retrieve useful context is still an experiment.Wed, 15 Jul 2026 00:00:00 GMTmathgraphsdiffusionresearchexplorationWhen an Event Is Not Just an Edgehttps://loadbear.net/ideas/when-an-event-is-not-just-an-edge/https://loadbear.net/ideas/when-an-event-is-not-just-an-edge/Part IV: two mathematically defensible ways to preserve event structure, one restrained coarsening probe, and an Enron result that still says no.Wed, 15 Jul 2026 00:00:00 GMTmathgraphshypergraphsdiffusionretrievalexperimentBillion FizzBuzzhttps://loadbear.net/ideas/billion-fizzbuzz/https://loadbear.net/ideas/billion-fizzbuzz/484 seconds down to ~1.2, in Rust. Along the way: a benchmark harness that was lying to me, an optimization that made things worse on purpose, and a wall neither more threads nor more code could move.Thu, 09 Jul 2026 00:00:00 GMTrustperformancebenchmarkingfizzbuzzsystemsHailstones on a Mac Airhttps://loadbear.net/ideas/hailstones-on-a-mac-air/https://loadbear.net/ideas/hailstones-on-a-mac-air/3n+1 through GMP, hand-rolled NEON, and a Metal GPU kernel on a MacBook Air. Two results ran opposite to what I predicted.Sun, 03 May 2026 00:00:00 GMTrustsimdgpucollatzperformancemetal