Momentum work enables a complete shift from kinematics to dynamics. This involves changes in the very fundamentals of physics, not only in mechanics, statistical mechanics, and special relativity, as shown in Papers I–III [G. Kalies and D. D. Do, AIP Adv. 13(6), 065121 (2023); G. Kalies, D. D. Do, and S. Arnrich, AIP Adv. 13(5), 055317 (2023); and G. Kalies and D. D. Do, AIP Adv. (in press) (2023)] of this series, but also in thermodynamics. In this paper, we challenge the narrative that classical phenomenological thermodynamics is completed and show that it represents an efficient interim solution that hides essential information. The essence of heat transfer and entropy is revealed, and an answer is given to the question of why entropy ha...