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He takes the West Side Highway home. He is so sore, so depleted: but now his humiliations are complete. He has been punished enough, he thinks, even for him. He will go home, and cut himself, and then he will begin forgetting: this night in particular, but also the past four months.

At Greene Street he parks in the garage and rides the elevator up past the silent floors, clinging to the cage-door mesh; he is so tired that he will slump to the ground if he doesn’t. Richard is away for the fall at a residency in Rome, and the building is sepulchral around him.

He steps into his darkened apartment and is feeling for the light switch when something clots him, hard, on the swollen side of his face, and even in the dark he can see his new tooth project itself into the air.

It is Caleb, of course, and he can hear and smell his breath even before Caleb flicks the master switch and the apartment is illuminated, dazzlingly, into something brighter than day, and he looks up and sees Caleb above him, peering down at him. Even drunk, he is composed, and now some of his drunkenness has been clarified by rage, and his gaze is steady and focused. He feels Caleb grab him by his hair, feels him hit him on the right side of his face, the good one, feels his head snapping backward in response.

Caleb still hasn’t said anything, and now he drags him to the sofa, the only sounds Caleb’s steady breaths and his frantic gulps. He pushes his face into the cushions and holds his head down with one hand, while with the other, he begins pulling off his clothes. He begins to panic, then, and struggle, but Caleb presses one arm against the back of his neck, which paralyzes him, and he is unable to move; he can feel himself become exposed to the air piece by piece—his back, his arms, the backs of his legs—and when everything’s been removed, Caleb yanks him to his feet again and pushes him away, but he falls, and lands on his back.

“Get up,” says Caleb. “Right now.”

He does; his nose is discharging something, blood or mucus, that is making it difficult for him to breathe. He stands; he has never felt more naked, more exposed in his life. When he was a child, and things were happening to him, he used to be able to leave his body, to go somewhere else. He would pretend he was something inanimate—a curtain rod, a ceiling fan—a dispassionate, unfeeling witness to the scene occurring beneath him. He would watch himself and feel nothing: not pity, not anger, nothing. But now, although he tries, he finds he cannot remove himself. He is in this apartment, his apartment, standing before a man who detests him, and he knows this is the beginning, not the end, of a long night, one he has no choice but to wait through and endure. He will not be able to control this night, he will not be able to stop it.

“My god,” Caleb says, after looking at him for a few long moments; it is the first time he has ever seen him wholly naked. “My god, you really are deformed. You really are.”

For some reason, it is this, this pronouncement, that brings them both back to themselves, and he finds himself, for the first time in decades, crying. “Please,” he says. “Please, Caleb, I’m sorry.” But Caleb has already grabbed him by the back of his neck and is hurrying him, half dragging him, toward the front door. Into the elevator they go, and down the flights, and then he is being dragged out of the elevator and marched down the hallway toward the lobby. By now he is hysterical, pleading with Caleb, asking him again and again what he’s doing, what he’s going to do to him. At the front door, Caleb lifts him, and for a moment his face is fitted into the tiny dirty glass window that looks out onto Greene Street, and then Caleb is opening the door and he is being pushed out, naked, into the street.

“No!” he shouts, half inside, half outside. “Caleb, please!” He is pulled between a crazed hope and a desperate fear that someone will walk by. But it is raining too hard; no one will walk by. The rain drums a wild pattern on his face.

“Beg me,” says Caleb, raising his voice over the rain, and he does, pleading with him. “Beg me to stay,” Caleb demands. “Apologize to me,” and he does, again and again, his mouth filling with his own blood, his own tears.

Finally he is brought inside, and is dragged back to the elevator, where Caleb says things to him, and he apologizes and apologizes, repeating Caleb’s words back to him as he instructs: I’m repulsive. I’m disgusting. I’m worthless. I’m sorry, I’m sorry.

In the apartment, Caleb lets go of his neck, and he falls, his legs unsteady beneath him, and Caleb kicks him in the stomach so hard that he vomits, and then again in his back, and he slides over Malcolm’s lovely, clean floors and into the vomit. His beautiful apartment, he thinks, where he has always been safe. This is happening to him in his beautiful apartment, surrounded by his beautiful things, things that have been given to him in friendship, things that he has bought with money he has earned. His beautiful apartment, with its doors that lock, where he was meant to be protected from broken elevators and the degradation of pulling himself upstairs on his arms, where he was meant to always feel human and whole.

Then he is being lifted again, and moved, but it is difficult to see where he’s being taken: one eye is already swollen shut, and the other is blurry. His vision keeps blinking in and out.

But then he realizes that Caleb is taking him to the door that leads to the emergency stairs. It is the one element of the old loft that Malcolm kept: both because he had to and because he liked how bluntly utilitarian it was, how unapologetically ugly. Now Caleb unslides the bolt, and he finds himself standing at the top of the dark, steep staircase. “So descent-into-hell looking,” he remembers Richard saying. One side of him is gluey with vomit; he can feel other liquids—he cannot think about what they are—moving down other parts of him: his face, his neck, his thighs.

He is whimpering from pain and fear, clutching the edge of the doorframe, when he hears, rather than sees, Caleb move back and run at him, and then his foot is kicking him in his back, and he is flying into the black of the staircase.

As he soars, he thinks, suddenly, of Dr. Kashen. Or not of Dr. Kashen, necessarily, but the question he had asked him when he was applying to be his advisee: What’s your favorite axiom? (The nerd pickup line, CM had once called it.)

“The axiom of equality,” he’d said, and Kashen had nodded, approvingly. “That’s a good one,” he’d said.

The axiom of equality states that x always equals x: it assumes that if you have a conceptual thing named x, that it must always be equivalent to itself, that it has a uniqueness about it, that it is in possession of something so irreducible that we must assume it is absolutely, unchangeably equivalent to itself for all time, that its very elementalness can never be altered. But it is impossible to prove. Always, absolutes, nevers: these are the words, as much as numbers, that make up the world of mathematics. Not everyone liked the axiom of equality—Dr. Li had once called it coy and twee, a fan dance of an axiom—but he had always appreciated how elusive it was, how the beauty of the equation itself would always be frustrated by the attempts to prove it. It was the kind of axiom that could drive you mad, that could consume you, that could easily become an entire life.

But now he knows for certain how true the axiom is, because he himself—his very life—has proven it. The person I was will always be the person I am, he realizes. The context may have changed: he may be in this apartment, and he may have a job that he enjoys and that pays him well, and he may have parents and friends he loves. He may be respected; in court, he may even be feared. But fundamentally, he is the same person, a person who inspires disgust, a person meant to be hated. And in that microsecond that he finds himself suspended in the air, between the ecstasy of being aloft and the anticipation of his landing, which he knows will be terrible, he knows that x will always equal x, no matter what he does, or how many years he moves away from the monastery, from Brother Luke, no matter how much he earns or how hard he tries to forget. It is the last thing he thinks as his shoulder cracks down upon the concrete, and the world, for an instant, jerks blessedly away from beneath him: x = x, he thinks. x = x, x = x.