What is the ruling of Islamic law regarding the multiplicity of times and adhans for Dhuhr prayer within a single city?

There is no objection to having multiple mosques in a city, nor is there any objection to some mosques performing the prayer early while others delay it, as long as it is within the optional time. The Prophet, peace and blessings be upon him, delayed the Dhuhr prayer during intense heat and commanded that. A Muslim should think well of the people of the mosques and be keen to pray with them and maintain their unity, and not stir up disagreements on matters that can be accommodated by the evidence.