During the spontaneous process of heat being transferred from colder to hotter bodies, the entropy of the system of bodies increases.
A lower value indicates higher quality, and entropy is a measure of energy quality. Energy with a lower entropy is neatly ordered energy. High entropy is the result of chaotic energy storage.
Entropy is always rising because every particle and atomic structure travels faster than light through space and time. Expressions with inequalities are produced by the second law of thermodynamics. Since entropy cannot be destroyed in any way or at any size, it cannot generally increase. Everywhere and always, entropy is produced, increasing total entropy at any scale, including entanglement, open systems, micro-fluctuations, gravitation, and life processes.
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