This afternoon I happened to be reading a later portion of Yichud HaHisbodidus which turned out to be very pertinent to Yom Kippur. The Ariza"l speaks of the significance of crying on Yom Kippur. Some years I find it difficult to cry; this year it was easy.
The Light wants that the vessel should be subordinate to it. When they are engaged in conflict and the vessel is not subordinate, and then the tears break out, the meaning of the tears is that the vessel is saying that it is willing to be subordinate from now on. This is a significant moment, the giving of self over to the bestower.
When there are tears in the eyes of one of the two parties, in the middle of shouting and arguing, this is not an expressing of disaffection and distance, but of a desire to improve things from here on. Indeed a significant moment.
Flesh and blood, in his hubris, upon seeing tears, mistakenly interprets it as a sign of distancing, that the other side has been pushed down and away. But an understanding person understands that when the other party has come to tears, he or she is expressing a willingness to change, and recognizes that this is an opportunity to create a greater connection than that which previously existed.
When the other party does not wish to connect he won't come to tears, on the contrary, he will become harder and closed. We see by children that it is not a punishment per se that leads to subordination, but the feeling of being distant from their parent. That's why you can give a painful punishment that does not result in the child subordinating himself, whereas it can be sufficient to demonstrate just a bit of distance and the child is full of tears and regrets.
This is why Hashem says נחמו עמי, "Be comforted, my nation," as he sees our tears in exile. He understands the great connection that exists at the time the tears are flowing, and he is appeased and desirous of the Jewish Nation.
You can see that Moshe made his greatest requests at the time of greatest distance - after the sin of the Golden Calf. He requested then that Hashem teach his Attributes of Mercy and that He should travel with the Jewish Nation and not send an angel in his stead. He continued to ask, "And how will it indeed be known that I and your nation have found favor in your eyes? Only if you go with us. And I and your nation will be distinguished from all the nations in the face of the Earth." Rashi explains that Moshe was requesting that Hashem not rest the Schechinah any longer on the idolatrous nations.
How did Moshe have the chutzpah to speak in this manner after such a terrible sin? Was this a time of closeness like the giving of the Torah? Was the Nation in good standing with Hashem? They had been corrupted and their stature lowered. How did he have the gall to make such great requests?
The understanding is that when there is a rapprochement after anger a very caring feeling is created. Moshe found it to be an appropriate time to accomplish something great by awakening the eternal closeness between Israel and its Father in Heaven. Hashem was responsive to him, by saying, "Also that which you spoke I will do, for you have found favor in my eyes."
Additionally, Moshe established the way to ask Hashem for forgiveness. Since the fact is that we are dear to Hashem and that sin does not create distance, when a person does Teshuva after a sin, he then needs to have the ability and the strength to ask for things that he never would have thought of asking for at any other time.