In our current body we are in constant regeneration via the blood stream and the intake of nutrients and cleaning out dad cells and waste chemistry. This what makes our current flesh corruptible. When we die our bodies decay back to the elementals. An incorruptible body will not be sustained in the same way as we are now.
1 John 3:2 Beloved, now are we the sons of God, and it doth not yet appear what we shall be: but we know that, when he shall appear, we shall be like him; for we shall see him as he is.
As 4D beings we can see things that have 4D essence. Jesus is greater than a 4D being now. He can be in 4D or out of 4D essence at will. When He appears for the Rapture the passage above seems to indicate that we will be transformed into beings able to see Him in His greater than 4D state. In that greater state it is likely we shall draw our energy from the zero point field rather than the storage of said energy via animal flesh and vegetable flesh. {Yes, the vegetable we eat is expressed as 'its' flesh.} But we will be able to be in 4D spacetime just as Jesus can now, because we shall be like Him when We see Him coming for us to return to the Father's House.
When Jesus went up with Peter, James, and John, He was transfigured for a moment so He could speak with Elijah and Moses, and then took on the flesh again, when the conversation was over. So the form He took when He returned from the tomb was probably temporary also, although He could go through walls, unlike flesh.