That is not no where near what Thomas claimed. From his Summa concerning God's omnipresence this is refuted:
I answer that, God is in all things; not, indeed, as part of their essence, nor as an accident, but as an agent is present to that upon which it works. For an agent must be joined to that wherein it acts immediately and touch it by its power; hence it is proved in Phys. vii that the thing moved and the mover must be joined together. Now since God is very being by His own essence, created being must be His proper effect; as to ignite is the proper effect of fire. Now God causes this effect in things not only when they first begin to be, but as long as they are preserved in being; as light is caused in the air by the sun as long as the air remains illuminated. Therefore as long as a thing has being, God must be present to it, according to its mode of being. But being is innermost in each thing and most fundamentally inherent in all things since it is formal in respect of everything found in a thing, as was shown above (Question 7, Article 1). Hence it must be that God is in all things, and innermostly.
Reply to Objection 1. God is above all things by the excellence of His nature; nevertheless, He is in all things as the cause of the being of all things; as was shown above in this article. (First Part, Question 8)
You need to look at Thomas a little harder. His claim that God is present in everything has no real significance. Rather, it means that God's providence oversees everything. Hence, Thomas states that God is "outside" creation and has no "real relationship" to it. Indeed, it is utterly impossible for God to share and participate in the world; for then God would be a component of teh world; but that is strictly ruled out, as the world would qualify God. So, when Thomas takes up the question of "immensitas are used by him to signify immanence. Presence in a place can mean bodily contact or the interior quickening of a thing or being and operating ad a definite place. Since God is neither body nor soul, the first two do not apply to God. Since God's actions do not tie him down, the third does not apply either.
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