Allah is the owner of the whole universe

Allah is the only Creator and power over all the mountains , stars, planets, both living and non-living things and all the atoms that make up these objects.

And with Him are the keys of the unseen; none knows them except Him. And He knows what is on the land and in the sea. Not a leaf falls but that He knows it. And no grain is there within the darknesses of the Earth and no moist or dry [thing] but that it is [written] in a clear record ( Surah Al-An'am, 59).

Just like the verse states , if Allah does not let something happen nothing can move.

The seven heavens and the Earth and whatever is in them exalt Him. And there is not a thing except that it exalts [ Allah ] by His praise, but you do not understand their [way of] exalting. Indeed, He is ever Forbearing and Forgiving (Surat al-Isra, 44).

As we understand from these verses, moving rocks , walking mountains or drifting continents all do things in remembrance of Allah with His permission. People can only comprehend this as much as Allah allows.

There are many different worlds other than what we see and feel. But this world  is a test  and not everything is open to the human senses. For example in the paradise all rocks and mountains are living . What we know as nonliving here could move and talk in the hereafter.

Allah undoubtedly has the power to make something living or non-living. Because we are in a test here , we can't see many miracles, different dimensions , or all the aspects of everything. However, there could be chosen people who are given wisdom and  knowledge , seeing and comprehending all those miracles happening around them. With this comprehension they would have and even stronger faith , and remember God with his names and attributes , and be grateful. This is a gift for people with faith.

And those who have been given knowledge see that what is revealed to you from your Lord is the truth, and it guides to the path of the Exalted in Might, the Praiseworthy ( Surat al-Saba, 6).

Walking rocks is a recent scientific fact. It is a miracle that the Qur'an informs us of this reality in the 7th century when the ideas about the universe  and nature was mostly made from superstitions, baseless beliefs,  and myths. It's an important proof that shows the Qur'an is Allah's word.

Every speck in the universe is a mirror to see Allah's greatness, but not enough to show His endless power and knowledge. Allah has the best names and attributes. The things explained in this article are just a few examples of what we see in the world as a reflection of His Divine attributes. His knowledge , intellect, power, compassion, generosity, kindness is infinite. Everybody should show effort to understand Allah's greatness as much as they can.

Allah's knowledge is so vast that something infinite for humans is very easy for Him. 

From the beginning of time to the infinite , every event to take place , all thoughts, times, and shapes are determined by him. This truth is mentioned in the Qur'an with the following verse:

Indeed, all things We created with predestination.And Our command is but one, like a glance of the eye.And We have already destroyed your kinds, so is there any who will remember?

And  everything they did is in written records. ( Surat al-Qamar,49-52)