What does a 'dating connection' feel like ?

Lots of people want to do the 'lets meet up for a coffee and see if there is a connection'.

I haven't ever really understood that since the two relationships I've had sort of happened and then didn't and I never tried to interpret what it means to 'feel a connection' (ie. how am I supposed to 'feel' and what am I supposed to do?).

Now I am lost at sea so-to-speak with anything relating to dating I just wonder who can explain what a 'connection' is supposed to 'feel' like if the intention is to be finding a potential future romantic partner? Remember I think i'm probably aromantic so that doesn't help if I can't or don't 'switch on' to the mood signals, etc.