Cookie Consent by Free Privacy Policy Generator E11 — hybrid: Lagrangian (MUSCLE) trigger + directional damping | Igor Moiseev

E11 — hybrid: Lagrangian (MUSCLE) trigger + directional damping

E11 — hybrid: Lagrangian (MUSCLE) trigger + directional damping

model transport all web r(k=0.53) T(k=0.34)
muscle 4.49 ± 0.12 5.57 ± 0.07 0.527 0.433
damp 4.52 ± 0.18 5.77 ± 0.16 0.388 0.410
damp_msc 4.67 ± 0.18 6.15 ± 0.17 0.374 0.343

Verdict

Negative, and diagnostic: the Lagrangian-trigger hybrid (4.67 ± 0.18) is worse than BOTH parents (MUSCLE 4.49, Eulerian-trigger damping 4.52), and weakest at the web (6.15 vs 5.57/5.77). The evolving Eulerian density carries trigger information that the precomputed Lagrangian collapse time lacks; conversely MUSCLE’s advantage must live in its displacement-divergence construction, not its trigger. A working hybrid would need to combine at the displacement/field level, not the trigger level — recorded as future work, not pursued (diminishing returns).