Since they got together in 2007, the iPhone and Google Maps have seemed like ideal digital bedfellows.Google Inc.s GOOG +1.81% blockbuster map service—which allows web users to find businesses, check traffic conditions and get directions—has helped Apple Inc.s AAPL +1.62% iPhone become wildly successful. Surging iPhone use has, in turn, driven tons of web traffic to Googles search engine through Google Maps. But not for long. Mobile map technology is about to become the latest battleground in the two tech giants escalating war over who dominates the future of computing.