Indeed. Greektim, is that an embodied temporal existence with God that you are talking about? Do you mean to propose that sequence and passage of events will occur and that these are to be experienced and appreciated by an embodied God in a temporal relationship with man forevermore? Can any such thoughts find legitimacy or support in scripture?!!?
Not sure I would use the term "embodied God" unless speaking of Jesus. However, his divine presence will be w/ humanity in a very real and personal (covenantal) way (Rev. 21:3ff.). We usually think of God's presence residing in temple which it always did since the garden on into the church (temple morphed of course from garden to arc and tabernacle to house to Jesus to church). In the new creation, God and the lamb are the temple (Rev. 21:22), i.e. God's presence is fully and completely on earth as the mission to fill the earth with his glory is fulfilled (cf. Gen. 1:28).
Now there is some thinking that needs to be done on the concept of sacred space. And this is where our neo-platonic influences are hard to overcome. But we usually imagine the supernatural world or heavenly to be an immaterial world. But perhaps it is a material of a divine essence. Like, angels are here w/ us in our world, but their material is of a divine essence that they don't appear (similar to parallel reality only in this case in the same reality). This borders on the philosophical so I'll stop there. But consider this, when Jesus ascended to heaven, did Scotty beam his physical body out of our reality and into a supernatural world? Or did Jesus enter the divine presence w/ his physical body, a presence and reality that could be classified as a divine material not at all inconsistent with our material world? You decide.
Also, if by temporal relationship you mean an existence where time is able to be measured (like months per se?; cf. Rev. 22:2), then I would say yes, new creation will be what God intended for Adam and Eve to accomplish in the original garden/temple paradise, only perfected and permanent/perpetual. We will work, we will play, we will enjoy God and his presence forever. But there will be no curse and no sin. We will fill the earth w/ God's glory as image bearers properly reflecting his glory (since we are conformed to the image of Jesus who accomplished the task of image bearing and what it means to be human and the human mission of Gen. 1:28). We will rule the animals and subdue the earth.
Btw... this is my missional hermeneutic coming out.