At the core of synchronicity is a sense of unity. Why might synchronicity relate to a sense of unity? It is important to note that the universe consists of nonlocal and fractal connection. Nonlocality refers to correlations between spatially separated events (Stapp, 2009). A fractal is a symmetry having a pattern that repeats at different scales (Bak, 1996).
Fractals are thought to be linked to synchronicity experiences (Hogenson, 2005). Significantly, fractal geometry includes the Fibonacci sequence as a unifying theme (Devaney, 1999). The Fibonacci sequence is a recursive series and visualizations of the Fibonacci sequence exhibit self-similarity. For example, the spiral consisting of circular arcs embedded in Fibonacci sized squares:
Another amazing fact is the presence of the Fibonacci sequence in the Mandelbrot set.
Professor Robert Devaney of Boston University has found the Fibonacci numbers in the Mandelbrot set and it's all to do with those buds on the outside of the set! For any two bulbs, the sum of their period is the period of the largest bulb between them. By taking bulbs closer and closer to each other, the Fibonacci sequence is generated.
So synchronicity might relate to nonlocality, fractals, and the Fibonacci sequence generally (Sacco, 2016), and particularly experiences of ultimate meaning, unity, and interconnectedness.
Bak, P. (1996). How nature works: The science of self-organized criticality. New York: Springer.
Hogenson, G. B. (2005). The self, the symbolic and synchronicity: Virtual realities and the emergence of the psyche. Journal of Analytical Psychology, 50(3), 271–84. http://dx.doi.org/10.1111/j.0021-8774.2005.00531.x
Devaney, R. L. (1999). The Mandelbrot set, the Farey tree, and the Fibonacci sequence. The American Mathematical Monthly, 106(4), 289–302.
Sacco, R. G. (2016). The Fibonacci Life-Chart Method (FLCM) as a foundation for Carl Jung’s theory of synchronicity. Journal of Analytical Psychology, 61(2), 203–222. http://dx.doi.org/10.1111/1468-5922.12204
Stapp, H. (2009). Nonlocality. In Greenberger, D., Hentschel, K., Weinert, F. (Eds.), Compendium of Quantum Mechanics (pp. 405–410). New York: Springer.