The heat death of the universe is a suggested fate of the universe, its final thermodynamic state in which it has diminished to a state of no thermodynamic free energy to sustain motion or life. In the language of physics, it has reached maximum entropy. The heat-death of the universe is when the universe has reached a state of maximum entropy. This happens when all available energy (such as from a hot source) has moved to places of less energy (such as a colder source). Once this has happened, no more work can be extracted from the universe. Since heat ceases to flow, no more work can be acquired from heat transfer.
The hypothesis of heat death stems from the 1850s ideas of William Thomson, 1st Baron Kelvin who extrapolated the views of the theory of heat as mechanical energy loss in nature, as embodied in the first two laws of thermodynamics, to the processes in the universe. The idea of heat death stems from the second law of thermodynamics, which states that entropy tends to increase in an isolated system. If the universe lasts for a sufficient time, it will asymptotically approach a state where all energy is evenly distributed. In other words, in nature there is a tendency to the dissipation (energy loss) of mechanical energy (motion); hence, by extrapolation, there exists the view that the mechanical movement of the universe will run down in time due to the second law. The idea of heat death was first proposed in loose terms beginning in 1851 by William Thomson, 1st Baron Kelvin, who theorized further on the mechanical energy loss views of Sadi Carnot (1824), James Joule (1843), and Rudolf Clausius (1850). Thomson’s views were then elaborated on more definitively over the next decade by Hermann von Helmholtz and William Rankine.
Whereas Allah s.w.t Has already told crystal clearly about the Day of Judgment or the Day of reckoning, in the Qur'an which can be quoted as "Heat death day" in the language of Physics. Every single thing mentioned in the Holy book Qur'an is evident itself. The need is only to ponder over!
When the sun (with its spacious light) is folded up;
When the stars fall, losing their lustre;
When the mountains vanish (like a mirage);
When the she-camels, ten months with young, are left untended;
When the wild beasts are herded together (in the human habitations);
When the oceans boil over with a swell;
When the souls are sorted out, (being joined, like with like);
When the female (infant), buried alive, is questioned -
For what crime she was killed;
When the scrolls are laid open;
When the world on High is unveiled;
When the Blazing Fire is kindled to fierce heat;
And when the Garden is brought near;-
(Then) shall each soul know what it has put forward [Surah At-takwir]
He questions: "When is the Day of Resurrection?" At length, when the sight is dazed and the moon is buried in darkness, and the sun and moon are joined together that Day will Man say; "Where is the refuge?" [Qur'an 75.6-10]
We will show them Our signs in all the regions of the earth and in their own souls until they clearly see that this is the truth. [Qur'an 41.53]
And it is Allah who sends the winds, and they stir the clouds, and We drive them to a dead land and give life thereby to the earth after its lifelessness. Thus is the resurrection. [Surah Al-Fatir, verse 9]
Of what do they ask one another? About the Great Event, about which they differ? Nay! they shall soon come to know Nay! Nay! they shall soon know. [Qur'an 78.1-5]