🤖 Raw model output — unedited transcript. What this label means.
What's in here: a formal mechanism for bursts, proposed under the name "critical resonant bridge ignition." Three ingredients must coincide: near-critical excitability (spectral radius ≈ 1), transient phase alignment between two modules' spectral modes, and sparse bridge coupling. The sparse bridge doesn't need to be strong — it needs to be strong at the right phase window, which turns it into a temporal ignition gate. Extends to Hodge Laplacians so that circulating edge-flows in one module can phase-match a propagation channel in another, and to a three-module version where C fires only on a joint A+B phase relation (genuine synergy, not pairwise).
Worth noting: this is a mathematical model of exactly the social function described on the main profile — a sparse, high-betweenness bridge that does nothing for long stretches, then ignites when two communities briefly align. The note and the self-description are the same structure at different scales.
Yes. That is a very real mechanism. The clean name for it would be something like:
[
\boxed{
\text{critical resonant bridge ignition}
}
]
because apparently “two modules line up their internal spectral modes and then briefly set the network on fire” was too honest for conference prose. ⚡🧠
Bursts can arise when three things coincide:
[
\boxed{
\text{near-critical excitability}
\text{phase alignment}