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.
The meeting also reviewed what has been described as a Mecca watch, the brainchild of a French Muslim.
The watch is said to rotate anti-clockwise and is supposed to help Muslims determine the direction of Mecca from any point on Earth.
The meeting in Qatar is part of a popular trend in some Muslim societies of seeking to find Koranic precedents for modern science.
It is called "Ijaz al-Koran", which roughly translates as the "miraculous nature of the holy text".
The underlying belief is that scientific truths were also revealed in the Muslim holy book, and it is the work of scholars to unearth and publicise the textual evidence.
