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In June 2018 (Sacco, 2018), I described a method to help predict synchronicity phenomena in counseling sessions or for personal use. By using this method, everyone can gain a deeper understanding of their past and present synchronicities. In this blog post, I will delve deeper into this method, termed the "Harmonic Model." Background Carl Jung (1952) defined synchronicity as the meaningful coincidence of outer and inner events. In collaboration with quantum physicist Wolfgang Pauli, Jung developed his ideas of synchronicity. Synchronicities are acausal phenomena i.e., they cannot be explained by cause and effect. Jung used synchronicity as an umbrella term under which he grouped many paranormal events. Other words such as superstitious, magical, and supernatural are also used to describe the disruption of "everyday" causal principles. Synchronization is an emergence of spontaneous order in complex systems characterized by a regular geometric pattern and quasi-periodic structure (Pikovsky, Rosenblum, & Kurths, 2001). Several recent studies point to Fibonacci numbers and the golden ratio as crucial to synchronization. Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21, etc.) are a recursive sequence in which every term is the sum of the previous two. There is a mathematical connection between the Fibonacci sequence and the golden ratio (about 1.618034). The ratios of the successive numbers in the Fibonacci sequence converge on the golden ratio. To increase scientific understanding of synchronicity requires developing theories that explain the sources of these experiences. Since Jung introduced his theory of synchronicity (Jung, 1952), theorists have struggled to formulate a model for this phenomenon. According to Sacco, 2016, 2018, Fibonacci numbers can be used to predict synchronicity (Sacco, 2016). I will now outline the method that has been designed to accomplish this. Summary of Harmonic Model The harmonic model is intended to provide a means of predicting synchronicity phenomena. Researchers and clinicians are better able to utilize change processes when they understand the origin and nature of synchronicity phenomena. Fibonacci numbers provide a solution to this problem as they can predict synchronicity phenomena. Fibonacci numbers exist at the quantum level, in the DNA molecule, in biological cell division, and in self-organizing systems; they are a reliable way of predicting physical and psychological change. Especially, the Fibonacci numbers can indicate an increase in the experience of synchronicity. Harmonic Model predicts synchronicity in the human lifespan using a computer-based method. It consists of the following steps:
Counselors can also use the Harmonic Model by:
Harmonic Model counseling provides a practical system that includes diagnostic elements and distinct principles to guide counselor interventions. The accompanying figures illustrate these and other benefits.  Figure 1: Primary interval calculations Fig. 1 is a view of the primary interval calculations for a birthdate of January 1, 2000 (102). In the Fibonacci sequence, the first 21 Fibonacci numbers (100) can be seen. A step depicted by 101 is the first 21 Fibonacci numbers in the Fibonacci sequence expressed in terms of the 24-hour clock. In step 102, the Fibonacci numbers are added to an individual's birthdate. In step 103, the accrual age is shown in years.  Figure 2: Secondary interval calculations. Fig. 2 is a view of the secondary interval calculations of the harmonic model based on primary interval calculations (103). Secondary date calculations (200-208) are based on the last nine primary interval calculations (104-112). The secondary intervals are derived by adding primary intervals starting from the birthdate. As an example, the formula for calculating the secondary interval 2003-05-03 [210] is 2001-09-1 [209] + 1.67 years (104). This represents the nodal points of standing wave harmonics. Antinodes [211] are calculated from the averages of adjacent nodes. Fibonacci Lifechart displays the secondary interval calculations as a cycle plot (shown in Figure 2) and chronological listing. Both the cycle plot and chronological listing of dates can be compared to the seven life domains (residence, cohabitation, intimate relationships, family, occupation, health, and spiritual experience) to evaluate synchronicity experiences. Click here to get a copy of the Fibonacci Lifechart. References Coldea, R., Tennant, D. A., Wheeler, E. M., Wawrzynska, E., Prabhakaran, D., Telling, M.,... Kiefer, K. (2010). Quantum criticality in an Ising chain: Experimental evidence for emergent E8 symmetry. Science, 327(5962), 177-180. http://sci-hub.tw/10.1126/science.1180085
Jung, C. G. (1952). Synchronicity: An acausal connecting principle. CW 8. Pikovsky, A., Rosenblum, M., & Kurths, J. (2001). Synchronization: A universal concept in nonlinear sciences. Cambridge, UK: Cambridge University Press. Pletzer, B., Kerschbaum, H., & Klimesch, W. (2010). When frequencies never synchronize: The golden mean and the resting EEG. Brain Research, 1335, 91-102. http://sci-hub.tw/10.1016/j.brainres.2010.03.074 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://sci-hub.tw/10.1111/1468-5922.12204 Sacco, R. G. (2018). Fibonacci harmonics: A new mathematical model of synchronicity. Applied Mathematics, 9, 702-18. http://sci-hub.tw/10.4236/am.2018.96048 Sacco, R.G. (2019). Modeling celestial mechanics using the Fibonacci numbers. International Journal of Astronomy, 8, 8-12. http://sci-hub.tw/10.5923/j.astronomy.20190801.02
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