I thought Remus with a short 'e' was linked with the
Indo-European Divine Twins, like Castor and Pollux.
Unfortunately, the twin motif doesn’t resolve the issue of etymology/spelling. It may well be that there was just one founder who ended up with two names (or the same name in different dialects/languages).
If Rome/Remus/Romulus have no known Latin etymology, then they may have a non-Latin origin, including Etruscan or Greek. What is interesting is that according to the Romans themselves, there was supposed to be a Greek or Trojan connection.
Contacts between Italic populations and the Mycenaean world go back to the Late Bronze Age, as attested by Mycenaean pottery found in many parts of the peninsula.
Greeks from
Euboea established a colony not far from Latium at Cumae (Greek
Kymai, Κύμαι) in the eighth century BC. Greek language and culture were introduced to the region at the time, including the alphabet which was adopted by the Etruscans and later by the Romans. This may be the origin of the belief that Rome was founded by Greeks (or Pelasgians, Trojans, etc.). If the Romulus and Remus narrative originated in the fourth century BC, it may itself be of Greek origin.
In Greek tradition, the foundation of a city was usually connected with a deity. Rhea Sylvia, the mother of Romulus and Remus, is named after the Greek goddess Rhea. In his discussion of the origin of the name Rhea, Socrates mentions Heraclitus’ comparison of the universe to the constant current of a river, thus deriving Rhea from ῥέω (
rhéo), “to flow” (Plato,
Cratylus 402b-c).
On this account, one etymology may be *
Rēmos, from a masculine form of
rheuma, “current, stream”, from
rhéo, “to flow”.
Alternative possibilities include:
From
rhṓmē (ῥώμη), “strength” (Plutarch,
Romulus 1.1).
From
rhṓomai (ῥώομαι), “to move intensively or violently”, which some have connected with a Hittite word meaning “to attack” (Beekes).