I am still working this out in my mind and I have no knowledge of Aramaic/Greek and no Aramaic/Greek reference materials so I will say up front this could just be fit for the manure heap but maybe something fertile will come of it.
God is infinite--absolutely infininte(1 Kings 8:22-27; Jeremiah 23:24; Psalm 102:25-27; Revelation 22:13) and therefore without measure. As opposed to practically infinite which is numerically quantifiable and at least in theory can be measured. Absolute infinity cannot be divided since it is not a number but a condition. If God is absolutely infinite then each manifestation of the God head is equally infinite since absolute infinity is not quatifiable and cannot be divided. The God head shares a divine nature and are unified in doing so. Jesus limited himself and did not use the full power of His divine nature while he walked on earth, but that is different from having less of a divine nature. Jesus dies on the cross--fully divine/fully human. His divine nature does not perish any more than our eternal spirit does not perish. If we die our spirit will spend eternity in one of two places but it does not cease to exist. What is important regarding Christ is that death had no power over Him. Even his body did not decay in its time in the tomb. His human nature died and His spirit spirit rose. It seems be possible for Christ to die physically and yet the absolutely infinite divine nature that is His Godhood live since the divine nature cannot be divided even as it manifests itself in three ways and it cannot die any more than our immortal souls do.
1 Peter 3:18-20; 4:6
3:18-20 18 For Christ [the Messiah Himself] died for sins once for all, the Righteous for the unrighteous (the Just for the unjust, the Innocent for the guilty), that He might bring us to God. In His human body He was put to death, but He was made alive in the spirit,19 in which He went and preached to the spirits in prison, 20 The souls of those who long before in the days of Noah had been disobedient, when God's patience waited during the building of the ark in which a few [people], actually eight in number, were saved through water.
4:6 For this is why the good news (the Gospel) was preached [in their lifetime] even to the dead, that though judged in fleshly bodies as men are, they might live in the spirit as God does.
Hebrews 9:27, 28 says, "And just as it is appointed for men to die once, and after that comes judgment, so Christ, having been offered once to bear the sins of many, will appear a second time, not to deal with sin but to save those who are eagerly waiting for him."
Acts2: 31 He, foreseeing this, spoke [by foreknowledge] of the resurrection of the Christ (the Messiah) that He was not deserted [in death] and left in Hades (the state of departed spirits), nor did His body know decay or see destruction