NextGEQ (next-greator-or-equals) is a basis operation of all inverted indexes. There are numerous researches on how to acheive good NextGEQ performance.
Even basic prototype shows good performance on certain operation like aggregations on fractions from real seq-db installations. For example, aggregation with query service:some-service group by pod field boosted from 395 - 532 ms (hot / cold) to 171 - 294 ms.
In future, NextGEQ will be able to skip loading disk blocks altogether and navigate to a particular block of LIDs.