For a brief introduction to synchronicity see the Wikipedia article
Dr Michael Pickard described synchronicity: "A term coined by Carl Jung to denote meaningful coincidence. Events bound by synchronicity are connected by similarity, by meaning, by resonance, rather than by causality. Synchronicity is an acausal connecting principle. Since it goes beyond causation, it goes beyond time and space, and is not limited by such relations."
And Friedrich Schiller (1759 - 1805) said, "There is no such thing as chance; and what seem to us merest accident springs from the deepest source of destiny."
Genealogists frequently experience some amazing serendipities. Henry Z Jones has collected numerous instances in his books about "Serendipity and Intuition in Genealogy".
"The intellect has little to do on the road to discovery. There comes a leap in consciousness, call it Intuition or what you will, the solution comes to you and you don't know how or why." ~ Albert Einstein
What in your experience and research do such coincidents mean? Do they evoke a sense of wonder and awe? Or are they just a curious anomaly that happens now and then without purpose or significance?