Three years ago, Charles Chase, an engineer who manages Lockheed Martin’s nuclear fusion program, was sitting on a white leather couch at Google’s Solve for X conference when a man he had never met knelt down to talk to him.

They spent 20 minutes discussing how much time, money and technology separated humanity from a sustainable fusion reaction — that is, how to produce clean energy by mimicking the sun’s power — before Mr. Chase thought to ask the man his name.

“I’m Larry Page,” the man said. He realized he had been talking to Google’s billionaire co-founder and chief executive. “He didn’t have any sort of pretension like he shouldn’t be talking to me or ‘Don’t you know who you’re talking to?’” Mr. Chase said. “We just talked.”