Pax sits next to 3 phonetic neighbors — Max, Jax, and Rex are the closest matches by sound. Most share Pax's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"peace"
"unique, strong"
"rocky outcropping, cliff dweller"
"fortunate, blessed"
"settlement by a bird-trap"
"fair-haired one"
"modern invented American name"
"powerful natural force"
"son of the prosperous protector"
"son of Kenneth / son of Coinneach"
"high, exalted"
"settlement near the sword hill"
"phonetic blend (possibly new house, or river)"
"dear, beloved"
"uncle"
"beauty, grace"
"ocean person"
"marsh dweller"
"God is gracious and humble"
"twin"
"friend of the army, warrior's friend"
Similar sound: These names share phonetic patterns with Pax — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Pax.
Rhythm: Pax is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.