• ātmajaḥ — her own son, born of self
  Compound: ātma (self) + jaḥ (born from). The child born from one's own body — not adopted, not by surrogate. Rukmiṇī claims a specific biological tie, and the next clause grants the hypothesis.
• sūtikā-gṛhāt — from the maternity room
  Compound: sūtikā (new mother) + gṛhāt (from the house, abl.). The sūtikā-gṛha is the postnatal chamber — Vedic dharma's most protected interior, and the very place Śambara breached. The detail reactivates the original outrage.
• tulya-vayaḥ-rūpaḥ — equal in age and appearance
  Compound: tulya (equal) + vayaḥ (age) + rūpaḥ (form). Rukmiṇī's hypothesis is precise on two axes simultaneously — age and look. Both must match for the hypothesis to hold; both do.
• jīvati-kutracit — is living somewhere
  Verb + indefinite locative: jīvati (lives) + kutracit (somewhere, anywhere). She cannot yet say 'here'; the indefiniteness preserves the hypothesis. Bhakti often advances by what it cannot quite say.

• Where do you do quiet calculations about people you hope are still alive?
• How does math of memory steady or disturb you?

'If my lost son still lives, He would be of just this age, just this look.' Rukmiṇī ventures the hypothesis — the bhakta sometimes can only approach the Lord through 'if.' The conditional clause is the door bhakti uses when the body is still ahead of the mind.