What is the Kabbalistic essence of the month of Sivan? It is about instilling presence within contradictions.  

The Torah says, regarding the month of Sivan, "They (the Israelites) encamped around the mountain."

Our sages say that this was the first time true prevailing peace was achieved from an interpersonal point of view. After all the days of counting and inner accounting, the ultimate was achieved: mutual respect and love for one another. This was a precursor and an absolute must for the Torah to be given.