What does Romeo imply when he says thou me not?

When Romeo says "thou me not" in Shakespeare's Romeo and Juliet, he is asking Juliet not to refer to him as "thou". In Elizabethan English, "thou" was used to address someone who was of lower social status or who was being spoken to in a familiar or informal way. By asking Juliet to address him as "you" instead, Romeo is indicating that he considers her to be his equal and that he wishes to be treated with respect. This also sets the tone for a more romantic interaction, making the conversation feel more intimate. Additionally, by using "you," Romeo is also emphasizing the personal connection between them, underscoring the strength of their feelings.