ChipletOS · Chip packaging · for a technical reader
Pair-by-pair coupling estimates overstate the worst case, in a model: the lab’s exact wording
The lab’s own sentences and figures for this result, word for word, in its working terms, with its limits in plain words where the lab’s text cannot be reprinted. The plain account is on the result’s page; it says the same things in plain words.
The lab’s plain-English sentence
Inside a simplified physics model the lab froze (not a full field solve), a computer search that covers every point of one narrow family of layouts — four vertical metal connections in a chip package … not a sample — shows that the quick shortcut of adding up their electrical coupling one pair at a time always overstates the worst coupling … in that model
- four size-and-spacing knobs held inside a fixed range
- while against the lab's more exact solver the figure is about 9.8 percent and only measured on examples, not proved
The guaranteed minimum, in the lab’s words
over-predicts the worst coupling by at least 1.10467287× (≥10.467287%)
The limit to read first, in the lab’s words
Against BEM the carried-through figure is ≈9.79% and is empirical, not certified.
Claim
For every layout in the declared two_tight_pairs family, pairwise superposition over-predicts the worst coupling by at least 1.10467287× (≥10.467287%), certified by interval branch-and-bound rather than sampled.
Part of the lab’s record (limits) is not reprinted here because it names internal files this site does not publish or uses internal working terms.
More
- The plain account of this result: the problem, what was shown, what it means for a buyer, who we expect would buy, why now, why you can trust the check, and what it does not show yet.
- This result’s file, the source of every sentence above.
- The formal statement of this result, set as a formula, with the other formal statements.