Crawlability is the physical layer: can an automated fetcher reach your URL, read its content, and understand its structure without being blocked by robots.txt, a login wall, a broken redirect chain, or a JavaScript framework that renders nothing until code executes. This is a binary gate. There is no partial credit - a page Google cannot fetch scores zero on every downstream signal no matter how good the writing is.
Relevance is the matching layer: given that Google can read the page, does its content actually answer the query it is being considered for, in the format searchers expect, at the depth they expect. Relevance is judged not just by word overlap but by topical completeness - whether the page addresses the sub-questions a genuine expert would expect to see covered, and whether it matches the expected content type (a list, a single answer, a comparison table, a tool).
Authority is the trust layer: given that the page is crawlable and relevant, should Google trust this particular source over the dozen other pages that are also crawlable and relevant. Authority is built primarily through external validation - links from other credible sites, mentions, citations, and increasingly through demonstrable first-hand expertise (author credentials, original data, direct experience with the subject).
These three pillars are sequential dependencies, not independent scores to be averaged. A site with elite authority but broken crawlability still fails, because Google literally cannot see the content to evaluate it. A perfectly crawlable and topically relevant page from an anonymous, unlinked domain will still lose to a slightly less polished page from a recognized authority, because trust is the tiebreaker whenever relevance is roughly equal.
Diagnosing a ranking problem should always proceed in this order. Check crawlability first using Search Console's URL Inspection tool. If the page is indexed, check relevance by comparing your content against the top-ranking pages for the query. Only after both of those look correct should you invest in authority-building activities like backlink outreach or digital PR, because authority work is the slowest and most expensive layer to move.