The Fates of the Universe and Human Souls
Christ Jesus never talked about the end of the universe although He mentioned the end of this world or the human world. But what becomes of this universe, including the earth, the sun, the Milky Way, and other galaxies?
The fate of the universe is determined by its density. The preponderance of evidence to date, based on measurements of the rate of expansion and the mass density, favors a universe that will continue to expand indefinitely, resulting in the "Big Freeze" scenario below.[8] However, observations are not conclusive, and alternative models are still possible.
The Big Freeze is a scenario under which continued expansion results in a universe that asymptotically approaches absolute zero temperature.[10] This scenario, in combination with the Big Rip scenario, is currently gaining ground as the most important hypothesis.[11] It could, in the absence of dark energy, occur only under a flat or hyperbolic geometry. With a positive cosmological constant, it could also occur in a closed universe. In this scenario, stars are expected to form normally for 1012 to 1014 (1–100 trillion) years, but eventually the supply of gas needed for star formation will be exhausted. As existing stars run out of fuel and cease to shine, the universe will slowly and inexorably grow darker. Eventually black holes will dominate the universe, which themselves will disappear over time as they emit Hawking radiation.[12] Over infinite time, there would be a spontaneous entropy decrease by the Poincaré recurrence theorem, thermal fluctuations,[13][14] and the fluctuation theorem.In addition, it is believed that protons, cores of atoms and substance or material, will spontaneously collapse in 10^31 to 10^36, namely years of about 10 raised to the power of 33. Then there will be no atoms, substance, material, stars, rocks, liquids, gases, and living things.
https://en.wikipedia.org/wiki/Ultimate_fate_of_the_universe#Flat_universe
But God exists. Heaven exists and the hell must exist, too. There will be no human souls in this universe in the very distant future. But souls to whom eternal life is given by God will live forever in Heaven above this future frozen universe without any atoms.
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Mat 6:22 The light of the body is the eye: if therefore thine eye be single, thy whole body shall be full of light.
Mat 6:23 But if thine eye be evil, thy whole body shall be full of darkness. If therefore the light that is in thee be darkness, how great is that darkness!