God's Name in Jerusalem

In the verses shown below the God states that He has chosen Jerusalem and would put His name there. How might God put his name on Jerusalem?

And unto his son will I give one tribe, that David my servant may have a light alway before me in Jerusalem, the city which I have chosen me to put my name there. 1 Kings 11:36

And he built altars in the house of the LORD, of which the LORD said, In Jerusalem will I put my name. 2 Kings 21:4

And he set a graven image of the grove that he had made in the house, of which the LORD said to David, and to Solomon his son, In this house, and in Jerusalem, which I have chosen out of all tribes of Israel, will I put my name for ever: 2 Kings 21:7

But I have chosen Jerusalem, that my name might be there; and have chosen David to be over my people Israel. 2 Chronicles 6:6

Also he built altars in the house of the LORD, whereof the LORD had said, In Jerusalem shall my name be for ever. 2 Chronicles 33:4

In the Hebrew alphabet the letter Shin is the first letter in the name of God, Shaddai.  Shaddai, meaning "the keeper of the doors of Israel", is inscribed on the mezuzot on all the doorways of the Jews.  The "Mezuzah" is a small scroll that is attached to the doorpost of a Jewish home with small cover. The exhibition of the Hebrew letter Shin is prominently displayed on the cover.   The sanctity of the home is symbolized by this small scroll and covering.  It is a solemn reminder to all who enter and leave the home that the house is Jewish and those who live there are devoted to the ideals of the scripture passages appearing on the scroll.  Interestingly each home, so configured with the mezuzot, could be said to have the name of God on it.

The map below identifies the geography of ancient Jerusalem during times of the scriptures referenced above.  Three valleys surround Jerusalem, the Kidron Valley on the east, The Refaiim Valley, just east of the City of Zion, and the Hinom Valley south and west of the City of Zion.  Together with the Temple Mount and Jerusalem in their midst, they form the Hebrew letter Shin (high-lighted in red).  Could it be that God constructed the geography of the region to fulfill the verses above and actually, and physically, put His name on Jerusalem?  Is the "fingerprint of God on Jerusalem for all to see?  Maybe.  Just a coincidence, perhaps, perhaps not, but it is something to meditate on.