Here are Jain-focused meanings for the names you mentioned, with note on possible variations between Digambar and Shwetambar traditions:

• Dhyan (Dhyāna): Meditation or contemplative practice. In Jainism, meditation and inner purity are important paths to spiritual progress. The name suggests calmness, focus, and inner reflection.

• Nimit (Nimit): Nimitta or nimitta-sanket meaning a sign, omen, or cause/event. As a name, it evokes things that signal or indicate a turning point or meaningful moment.

• Ayush (Āyush): Longevity, life, or a long span of life. A common, auspicious name wishing a healthy, long life.

• Neminath (Nemināth): The 22nd Tirthankara in Jain tradition. The name combines “Nemi” with “Nath/Ātma” (lord), signifying the venerable teacher who achieved spiritual awakening. It is a sacred, revered name within Jainism.

If you’d like some other Jain-friendly name options that suit a bright, aware child, here are a few that are commonly used and carry strong Jain meanings:

• Jinendra: “Victory of the Jina” or “Lord of the Jinas”—a respectful epithet for a soul who follows the Jinas.
• Jinesh (Jineshwar): Lord of the Jinas; another honored Jain name.
• Mahavir (Mahavira): The great hero—referring to Mahavira, the 24th Tirthankara; often used to inspire courage and compassion.
• Shantinath: “Lord of Peace” or the teacher who embodies peace.
• Sambhavnath: “Possessor of good fortune” or one who brings auspiciousness.
• Parshvanath: The 23rd Tirthankara; a revered and auspicious name.
• Rishabh (Rishabhanath): The first Tirthankara, symbolizing beginnings and steadfast virtue.
• Ajitnath: A Tirthankara name meaning “unconquered” or “unfailing.”

If you’d like, tell me a bit more about the qualities you hope the name conveys (e.g., calm, courage, wisdom, spiritual aspiration), and I can tailor a short list of Jain names that fit those preferences. I can also provide Jain-style explanations aligned with Digambar or Shwetambar usage if you have a preference.