The event chain producing the relative's date of birth and the chain which selected the lotto numbers have no detected common origin. This is certainly a clear, unambiguous understanding of the term a-causal as it relates to synchronicity. Some synchronicities, instead of bringing a feeling of togetherness and harmony, may actually engender just the opposite- feelings of utter discord, which may be based on mutual misunderstanding, or a sort of mutual repulsion. Void of any objective discord, they are nevertheless subjectively perceived as such by the observer. Perhaps one of the most interesting aspects of synchronicity involves its creative character.
Cultural metaphors are like stories, symbols or ideas that are common to humanity.
For example, water is a metaphor of life, of cleansing and of new beginnings. The conquest of killing a dragon is a metaphor for the struggle of good over evil. These symbols are learned early and influence how we structure and understand the world and events around us. Jung attempted to quantify these metaphorical symbols that appeared common to virtually every culture and tradition of humanity. Many scientific discoveries have been made from observations that were recognized first as synchronicity, and later, when the causal chains were found to have some common basis in natural law, these same synchronicities became science.