Here are some MHA-style name options for Haruzuke Ikari, considering the provided details:

Hero Names:

• Space Barrier: Simple, descriptive, and highlights the quirk's effect.
• Distant Echo: Suggests the subtle pushback and the quirk's weakness when unfocused.
• Repulsion Field: A more technical-sounding hero name, fitting for a quirk based on physics.
• Silent Push: Emphasizes the invisible nature of the quirk.
• Boundary Breaker (ironically): A paradoxical name, hinting at the quirk's limitations and potential for growth.
• The Unseen Ward: Evokes a sense of protection and the invisible force.
• Haruzuke's Halo: Incorporates the character's name and suggests a protective aura.
• Shirogane no Kage (Silver Shadow): A Japanese-inspired name, combining "Shirogane" (silver) to represent the subtle, almost invisible nature of the quirk, and "Kage" (shadow) to represent the effect of pushing people away.

Villain Names:

• Void's Embrace: A more menacing take on the quirk's effect, suggesting a suffocating pressure.
• The Repulsor: Short, impactful, and clearly indicates the villain's power.
• Shadow Pusher: Simple and effective, focusing on the unseen nature of the attack.
• Haruzuke's Wrath: A more personal and aggressive name, incorporating the character's name.
• The Anti-Proximity: A more scientific and intimidating name.
• Kuroi Yami (Black Darkness): A Japanese-inspired name, using "Kuroi" (black) to reflect the character's favorite color and "Yami" (darkness) to represent the unseen force.

Names incorporating aspects of the character:

• Kitty Cat's Claw: A playful name referencing the favorite animal, but with a hint of menace.
• Crimson Barrier: Combines the favorite color red with the quirk's effect.
• Six-Twenty Phantom: Uses the birthday to create a mysterious and unique name.

These are just a few ideas; the best name will depend on the specific tone and direction of your story. Consider which name best reflects Haruzuke's personality, goals, and the overall narrative.