I've always seen white as a colour representing both purity and newness. At a christening, a child wears white because he/she is being brought into the Christian world. Same when a child makes their first communion (to avoid competition in terms of who has the better dress, my school made us all wear white choir gowns over our clothes!). When a young woman makes her debut at a cotillion, she wears white because she's entering the world of adulthood, and is now a young woman, not a little girl. A bride is becoming a married woman, and is entering a different world as well. It makes sense for those going through initiation to wear white! Of course, there's always the case that sororities do it because of their ritual practices.
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