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Hmm, heat is more than measuring how fast particles are moving, and actually it is how quickly they are vibrating, and with what force. If you understood how thr refrigerant cycle works, you would realize that heat is alot more complicated than you realize. Hot always flows towards cold. compression creates heat, while expansion pulls heat away from the environment around it.
Summary: Heat is the energy an object has because of the movement of its atoms and molecules which are continuously jiggling and moving around, hitting each other and other objects. When we add energy to an object, its atoms and molecules move faster increasing its energy of motion or heat. Even objects which are very cold have some heat energy because their atoms are still moving.
There is a HUGE, HUGE difference between hitting an object that is stationary, or moving in sync with you, and hitting an object moving rapidly. Have you ever taken calculus? Do you understand the correlation between the summation of an object moving over a distance, rate or speed, and acceleration.
General Relativity still hasn't been proven, only special relativity is considered to be a highly likely law of physics. GR is one of many theories getting kicked around in the scientific community.