In Paul Thomas Anderson ‘s gloriously messy, madcap roller coaster ride through modern America, objects in the rear view may go out of sight, but they don’t disappear.

Political struggles never die in “One Battle After Another,” they just repeat. Or maybe they grow older and become paranoid, pot-smoking, pajama-wearers like Bob Ferguson ( Leonardo DiCaprio ), a washed-up revolutionary living off the grid with his daughter, Willa (Chase Infiniti). The cycles of oppression and resistance are palpably felt in Anderson’s film, a decades-spanning odyssey where gun violence, white power and immigrant deportations recur in an ongoing dance, both farcical and tragic.

But “One Battle After Another” could also be fairly described as a sweet movie about a father coming to terms with his teenage daughter having a phone — which is one example of how Anderson’s destabilizing approach to big themes can turn poignant and revelatory. “Sweeping” would normally be a way to characterize a nearly three-hour-long, multigeneration saga like this, but Anderson works in a more rough-hewn, compassionate register that burrows strangely but acutely into the American psyche.

“One Battle After Another” is arriving after months of speculation and some skepticism because it’s easily Anderson’s biggest budgeted, largest scaled film yet. But scale is an interesting thing when it comes to Anderson’s movies. “Magnolia” is modest by most metrics, but you’d be hard pressed to find a more ambitious movie. “There Will Be Blood” didn’t feature much spectacle beyond some rickety wooden oil rigs, but it feels about as large as the frame of Daniel Day-Lewis’ Daniel Plainview, which is to say terrifyingly enormous.

Likewise, “One Battle After Another,” shot on VistaVision, is big and long but feels intimate and fast. That’s partly due to the propulsion of its opening prologue and the absurd knockout vigor of Teyana Taylor as a scorching, potent screen presence. Her Perfidia Beverly Hills is at the center of the movie’s beginning. And she makes such a powerful mark that it takes half an hour for “One Battle After Another” to pick up the pieces after it moves on. (My personal recovery time is ongoing.)

We first see Perfidia, dressed in all black, striding across an overpass. Below is an immigration detention center. The atmosphere is tumultuous. Bob is there, ready to set off fireworks or bombs, but has little clue of the plan. She assures him: “Make it big, make it bright. Inspire me.”

They and their co-conspirators soon announce their intentions, freeing the immigrants, tying up the military guards and declaring that they’re the radical group the French 75. This is the start, Perfidia says, of a revolution. Their cause is righteous but their drive is visceral and sexual. Bomb-making and sex go hand in hand. Bob trails after Perfidia, in love with her but also in awe. Perfidia’s mother doesn’t give them much of a chance as a couple. “She’s a runner and you’re a stone,” she tells him.

At the same time, Perfidia comes in contact with Col. Lockjaw (Sean Penn), a rock-jawed military man who, too, swoons for Perfidia. When they first meet, she holds him at gunpoint and tells him to “Get it up,” and she doesn’t mean his hands. These charged scenes, followed by Perfidia’s pregnancy and new police trouble for the French 75, set the table for the drama to come, set 16 years after this opening salvo, a frenetic eruption of Black and female power.

This is a movie filled with police convoys across the land and military tactics that effectively turn modern-day America into a battlefield. The film, inspired by Thomas Pynchon’s “Vineland,” shares some of the culture clash of Anderson’s earlier Pynchon adaptation, “Inherent Vice.” But “One Battle After Another,” graced with a swelling score by Johnny Greenwood that gives the movie a hint of epic, feels more urgently contemporary and more morally motivated.

That makes “One Battle After Another,” as a major studio release clattering with straightforward representations of racism, xenophobia and vigilantism, an exception in almost every way to modern-day Hollywood.

If you go …

WHAT: “One Battle After Another”

STARS: Leonardo DiCaprio, Chase Infiniti, Teyana Taylor, Sean Penn and Benicio Del Toro

STORYLINE: It’s a gloriously messy, madcap roller coaster ride through modern America.

DIRECTOR: Paul Thomas Anderson

RATING: R for pervasive language, violence, sexual content, and drug use.

GRADE: A