That is an event horizon the franchise could already be nearing: In addition to “Discovery” and “Picard,” Kurtzman and his company are helping to produce an animated comedy series, “Lower Decks,” and a new live-action series starring Michelle Yeoh, both for CBS All Access, as well as a children’s animated series for Nickelodeon.

As he and his colleagues continue to develop new “Star Trek” ideas, Kurtzman said, “We’re not trying to rush.”

“What I want to make sure of is that each show is a unique proposition,” he said. “Because it only takes one to mess it all up. I understand that we’re playing a little bit of Russian roulette, the more bullets we load into the gun.”

It also remains to be seen how the “Star Trek” TV team will cooperate with the franchise’s film operations, which were resuscitated this past November when Paramount chose Noah Hawley, the creator of TV’s “Fargo,” to write and direct a new “Star Trek” movie. (The movie and TV units became siblings again when Viacom, Paramount’s parent company, merged with CBS last year.)

Kurtzman said that there had not been “any real conversations” between the “Star Trek” movie and TV hemispheres for nearly a decade, adding: “The ink’s not quite dry on the merger, so it’ll take a bit of time for the integration of the two companies to bear fruit. Time will tell. I think a shared universe could be great for ‘Star Trek.’”

Not even the makers of “Star Trek” know exactly what the future holds. But Martin-Green expressed confidence that, whatever shape or form the series takes, there will always be a place for the imaginative parables that it has helped pioneer.

“There are few things in this world that can shift paradigms and change people’s beliefs like sci-fi,” she said, “and so I love the genre for that reason. Because you have these fantastic circumstances that allow people an easy door into these themes. We fall for it. It’s a good fall.”