In Jainism, after a soul attains kevala jnana (infinite knowledge), it is no longer bound by karma and does not have to travel or perform any physical acts. Here is the simple, authentic picture:

• Kevala jnana ends bondage: The soul has destroyed all karmic particles that hinder it, so there is no new karmic influx or attachment.
• Siddha state: The liberated soul becomes a siddha (free soul) and remains in a pure, non-material state.
• Residence in siddha-loka: All siddhas reside in Siddhaloka, a realm at the top of the cosmic structure. This is not a physical place like an ordinary location; it is a pure, liberated plane where souls exist without bodies or limitations.
• No further physical “residence” needed: Since there is no body and no karma, there is no need to “go somewhere” to reside. The siddha stays in that liberated realm, beyond ordinary matter, until the end of time.
• Digambar vs. Shwetambar nuance: Both traditions affirm the siddha-loka concept and the freedom from karmic bondage, though the descriptive details about cosmology and the nature of siddhas can vary slightly in different texts.

If you’re asking about a specific sutra or stotra that mentions the soul’s location after kevala jnana, tell me the exact verse or text, and I’ll provide the precise artha (meaning) in line with authentic Jain sources.