Pesach vs Purim - Heavenly vs human
On Purim they fulfilled what they had accepted already (Shabbos 88:1)
What had they accepted?
Torah – Min Hashamayim (from Heaven)
The Jews went down to Egypt due to famine
The plagues were a suspension of nature by Hashem, for example hail was fire and water together
The people had no input, apart from listening to Moshe. In fact, most the time they were required to stay indoors
Matan Torah – Hashem held the mountain over their heads – passive acceptance
What was the fulfillment of Purim?
Lo Bashamayim hi – it (Torah) is not in heaven
Mordechai determines the direction to follow, thus manipulating the outcome through hidden hashgocha (providence) – venahapoch hu (it was turned upside down)
Esther and the Jews risk their lives to follow Mordechai’s direction
The ultimate fulfillment of Torah is Torah shebal peh (Oral Torah) – the determination of halacha (law) and hadracha (direction) by chachamim and the trust of people in the chachamim - the human element of Torah
Turning Yad Adam into Yad Hashem
Yetzias Mitzrayim and Matan Torah as the creation of the Jewish People and the receiving of our constitution, had to be the Yad Hashem as all is founded on Hashem and His Torah– therefore the Haggadah has no mention of Moshe
Purim, is the ultimate fulfillment of the Torah, being the human input therein - to the point where the story becomes Torah Shebichtav (written Torah) – the power to turn Yad Adam into Yad Hashem - The Megillah has no mention of Hashem
Therefore the relationship between Pesach and Purim – Haman drew the pur (lot) in Nissan and Esther fasted on Pesach and the lot was drawn for Adar.
Pesach is Yad H’ – thus we start the year understanding all is from Hashem and end the year putting this knowledge into the world of action on Purim
Thus the Aseres Hadibros start with Anoichi Hashem as the first and fundamental principle on which all is founded (Yad Hashem) and the second set of dibros, which concern interpersonal relationships (see Ethical, Ritual, Moral) end in Lo tachmod which is the ultimate goal of Torah, the dedication of the person themselves, their heart and desires (Yad adam.)