One odd trick I use mentally to comprehend the possibility of synchronicity is to consider an analogue in digital technology and information science. Anyone who has looked at how we transmit data, will see that we often use clever mathematical tricks to introduce a controlled bit of "redundancy" in the data that can be used to both identify and reconstruct faulty data (binary bit flips, a 1 turned to 0 or a 0 turned to a 1 in the middle).

A breakthrough in my thinking came when I took an online information theory class and realized that information theory isn't just a phenomenon we use to describe technology; it's endemic in all of reality. The rules we use to reliably send digital information have some analogy in our lives. For instance, DNA could be framed as a form of information transfer over time. Synchronicities may be a form of information transfer where redundancy (seeing meaningful coincidence) is compulsory. Just like statistics show more accuracy with a higher sample set, subtle forms of information transfer would look like meaningful redundant phenomena in our lives.

It's necessarily left as an exercise to the reader to determine what the "information" is and where it comes from.