Disclaimer: I don't own the copyright to Kingdom Hearts or related official material.
Step 1: Announce a revelation in a dramatic fashion.
Axel stared. Bent over his school lunch with his nose picometers away from mystery sauce, he stared deeply and pensively into the small well he had bored into his pile of mashed potatoes. Others around him had given up on trying to get his attention a while back, glancing only occasionally to make sure he hadn't blown up anything or set anything on fire. Then, just when they were about to think they were safe, that Axel would stay that nice, silent, passive way until the end of their lunch break, he shot up in his seat, startling everyone around him in an eight-table radius. His friends stared, eyebrows raised and looks expectant. However, Axel continued to stay silent, still in a trance-like state, wide green eyes holding a strange gleam.
Demyx broke the silence. "Axel, what are you doing?"
Axel only blinked.
"He's planning a giant conflagration in front of some administrative building, I'd wager, complete with fireworks," mused Luxord.
A content smile spread on Axel's face.
"Axel," Saïx deadpanned, "cut the melodrama and get to doing what you're going to do."
Everyone else in the cafeteria began to inch towards the exits.
Closing his eyes, Axel slowly rose from his seat and climbed onto the table. He moved to the center, took a deep breath, and opened his eyes to a warily attentive crowd.
"I," he began, "am going on a journey to find myself." With that, he jumped off the table and sauntered toward the exit. On his way out, he added, "If you find me before I get back, please tell him I've already been here and send him on his way to look for me. Thanks."
Most cafeteria inhabitants, no longer feeling endangered once Axel left, quickly resumed their regularly scheduled chatter of inanity, spiced with discussions and speculations about what had just happened. Axel's group of friends, however, had been stunned into silence by his announcement and took a while longer to recover.
Roxas, glancing at the now-empty seat to his left, was annoyed. "Okay, who gave him the fortune cookies?"
Philosophical Axel is... still Axel.