So this could take a while. From the BBC:
Muslim scientists and clerics have called for the adoption of Mecca time to replace GMT, arguing that the Saudi city is the true centre of the Earth.
Mecca is the direction all Muslims face when they perform their daily prayers.
The call was issued at a conference held in the Gulf state of Qatar under the title: Mecca, the Centre of the Earth, Theory and Practice.
One geologist argued that unlike other longitudes, Mecca’s was in perfect alignment to magnetic north.
He said the English had imposed GMT on the rest of the world by force when Britain was a big colonial power, and it was about time that changed.
Mecca watch
A prominent cleric, Sheikh Youssef al-Qaradawy, said modern science had at last provided evidence that Mecca was the true centre of the Earth; proof, he said, of the greatness of the Muslim “qibla” – the Arabic word for the direction Muslims turn to when they pray.