LOS ANGELES — Across Hollywood, a quiet revolution is brewing that’s about to transform living rooms around the world.

After desperate attempts to prop up the industry’s once-thriving DVD business, studio executives now believe the only hope of turning around a 40% decline in home entertainment revenue lies in rapidly accelerating the delivery of movies over the Internet.

In the next few years, the growing number of consumers with Internet-connected televisions, tablets and smartphones will face a dizzying array of options designed to make digital movie consumption a lot more convenient and to entice users to spend more money.

With films that can be accessed on any digital device, downloaded as iPhone apps or shared on Facebook as easily as a photo, it may be the biggest shift in Hollywood’s business model since the explosion of the DVD in the late 1990s.

‘The days of baby steps on the Internet are over,’ said David Bishop, president of Sony Pictures’ home entertainment unit. ‘It’s now critical that we experiment as much as possible and determine how to build a vibrant market for collecting digital movies.’

Though the online movie business has been growing at a healthy clip for the last few years, driven in large part […]