Since his breakthrough with the backward-running “Memento,” Christopher Nolan has made a plaything of time. In “Interstellar,” he slips into its very fabric, shaping its flows and exploding its particles. It’s an absurd endeavor. And it’s one of the most sublime movies of the decade.

As our chief large-canvas illusionist, Nolan’s kaleidoscope puzzles have often dazzled more than they have moved, prizing brilliant, hocus-pocus architecture over emotional interiors. But a celestial warmth shines through “Interstellar,” which is, at heart, a father-daughter tale grandly spun across a cosmic tapestry.

There is turbulence along the way. “Interstellar” is overly explanatory about its physics, its dialogue can be clunky and you may want to send composer Hans Zimmer’s relentless organ into deep space. But if you take these for blips rather than black holes, the majesty of “Interstellar” is something to behold.

The film opens in the near future where a new kind of Dust Bowl, one called “the blight,” brings crop-killing storms of dust upon the Midwest farm of engineer-turned-farmer Cooper (Matthew McConaughey) and his two children, the adventuresome 10-year-old Murph (Mackenzie Foy) and the 15-year-old budding farmer Tom (Timothee Chalamet). In the imperiled climate, space exploration is viewed as part of the “excess” of the 20th century. Cooper, a former NASA pilot, still believes in science’s capacity for greatness.

Cooper’s curiosity brings him to a secret NASA lair run by a Dr. Brand (Michael Caine). Large-scale dreaming has gone underground. They enlist him to pilot a desperate mission through a wormhole to follow an earlier expedition that may have found planets capable of hosting human life.

Much discussion of gravity and relativity follows, as Nolan (who co-wrote the script with his brother Jonathan and consulted with theoretical physicist Kip Thorne) tries valiantly to place his quasi-plausible sci-fi tale within the realm of mathematics and science. “Interstellar” is a trip, for sure, but it’s not a supernatural one. There will be no aliens poking forth from bellies or monument-blasting battles with extraterrestrials; it’s just about us humans.

The journey means Cooper will, under the best of circumstances, be gone for years. The parting from Murph, who resents the abandonment, is wrenching. He’s a dutiful, driven father stepping out to work, only in another galaxy.

His crew are Brand’s daughter (Anne Hathaway), a pair of researchers (a wonderful David Gyasi and Wes Bentley) and a talking robot named TARS that looks like the monolith of “2001: A Space Odyssey” if it were a shape-shifting Transformer.

What happens when the space ship, Endurance, moves past Saturn and passes through the wormhole? For starters, Nolan and his cinematographer, Hoyte Van Hoytema, conjure beautiful galactic imagery, contorting space and, eventually, dimensions.

But what he’s really doing is dropping countless big ideas —science, survival, exploration, love — into a cosmic blender, and seeing what keeps its meaning out there in the heavenly abyss. As in “The Dark Knight,” Nolan doesn’t investigate all of its philosophical questions so much as juggle them in an often dazzling, occasionally frustratingly incomplete way.

But under extreme gravitational forces, the core of “Interstellar” holds. It remains tethered to Earth, toggling between barren, otherworldly landscapes and life back home on an increasingly uninhabitable planet. There, Murph (now played by Jessica Chastain) has grown into a physicist trying to solve an essential equation.

More than anything, “Interstellar” makes you feel the great preciousness of time, a resource as valuable as oxygen. A misadventure of a few hours on one watery planet, where relative time accelerates, costs the astronauts decades. Returning to the ship, Cooper watches videos of his kids growing up before his eyes and weeps uncontrollably.

All of the visual awe, the quantum mathematics, the seeming complexity of the hugely ambitious, nearly three hour-long film is just stardust clouding the orbit between a dad and his girl. Whereas most science fiction withers out in space, “Interstellar” rockets home.

“Interstellar,” a Paramount Pictures release, is rated PG-13 by the Motion Picture Association of America for “some intense perilous action and brief strong language.” Running time: 165 minutes. Three and a half stars out of four.

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MPAA definition of PG-13: Parents strongly cautioned. Some material may be inappropriate for children under 13.