Ramchal and many others teach that every moed/festival/zman has a certain energy that it brings down with it, and every year we can access that particular force to serve Hashem in the relevant way.
The verse (Emor 23 43) says "Basukkot hoshavti et Bnei Yisrael" which is referring to right after leaving Egypt, in the month of Nissan. It would seem, then, that we ought to celebrate Sukkot in Nissan, yet we celebrate it in Tishrei.
The Tur (Orach Chaim 625) and the Aruch HaShulchan (Orach Chaim 625 5) both ask the question about celebrating Sukkot in the wrong month, and they give different answers. The Tur says that if we celebrated it in Nisan, which is in spring, nobody would recognise it as a mitzvah, because everyone goes out in the spring. Therefore we celebrate it in Tishrei, the autumn, to make it apparent that we are doing it for the sake of the mitzvah. The Aruch HaShulchan answers that since Sukkot is a festival of tremendous joy, the most appropriate time to celebrate it would be after Yom Kippur, when we are cleansed from our sins, and Hashem can shower us with love.
Neither of these answers addresses the point of every festival having an energy uniquely associated with that specific time.
My question:
What unique energy does Tishrei have, that would make it appropriate to celebrate Sukkot then instead of in Nissan?
Please bring sources.