i highly doubt it was a peaceful mixing process LOL, otherwise Sanskrit would have proto Dravidian words in it which it doesnt, also it doesnt explain the caste system, a invasion is never archeologically proven dude, but we do have hymms of the aryans going to war with the native dasyus, but theres also zero concrete evidence of the invasion of gaul by rome archeologically, so should we say it also never happened? ofc it did, through records we know and the fact the entire shift of cultures happened, the language was predominantly forged by romance, now modern french people speak gallo-romance language