How does the App Router resolve a URL to a page component?

Both of my searches returned unrelated results (webpack HMR runtime internals, cssnano/postcss bundling utilities, and the CLI's static-routes-info command) rather than the actual App Router URL-resolution logic (e.g., the route matcher, loader-tree construction, app-render.tsx, or the client router reducer). None of the retrieved chunks — in the original repository_data block or in these two follow-up searches — show the code path that takes a URL and resolves it to a page component.

I don't want to describe that resolution flow from general knowledge and present it as if it were grounded in these specific files, since that would violate the sourcing requirement here. What I can tell you, based on actual evidence available:

• The RepoPilot import-graph signals do point at relevant hubs for client-side routing/navigation (not URL→component resolution per se): packages/next/src/client/components/router-reducer/router-reducer-types.ts (17 importers) and packages/next/src/client/components/segment-cache/cache.ts (22 importers) are the most-depended-on files in that area, suggesting the router-reducer and segment-cache modules are central to how the App Router manages navigation state on the client. There are also 8 import cycles noted in the graph, three of which run through segment-cache/cache.ts, fetch-server-response.ts, segment-cache/fetch.ts, navigation-testing-lock.ts, scheduler.ts, and vary-path.ts — relevant if you're debugging routing/caching behavior, since changes in one of those files can ripple through the cycle.
• The unrelated chunks I did retrieve (webpack HMR runtime at [packages/next/src/bundles/webpack/packages/HotModuleReplacement.runtime.js:L268-L306], CLI route-info command at [packages/next/src/bin/next.ts:L742-L772]) aren't useful for answering this specific question.

If you'd like, I can run a more targeted search (e.g., for loader-tree, app-render, find-page, or match-segments) to actually surface the resolution code, rather than giving you an answer not backed by the retrieved evidence.