Thermal radiation was established as an electromagnetic effect experimentally. Max Plank's theoretical description that was consistent with experiments of black-body radiation led to the development of quantum theory for subatomic processes. Plank's formula led to Stefan-Boltzmann law of radiation that is currently used. Quantum theory that underlies radiation heat transfer developed substantially over the past century based on the Copenhagen interpretation dealing with subatomic processes as statistical rather than deterministic. These processes are governed by Schrödinger equation (for magnetic effects and spin the Dirac equation). The results and interpretations given to the theoretical results that were found in complete agreement with experimental data depart substantially from classical principles and are being presented as "weird" by most textbooks introducing the topic. In particular the necessity to eliminate causality, locality and even reality from such results were challenged by top scientists, e.g. Albert Einstein, Erwin Schrodinger, and many others, although further research and experimental data only confirmed the correctness of the Copenhagen interpretation and its consequences. This is therefore the present mainstream quantum theory. In the present paper a new deterministic theory of quantum mechanics is developed that is perfectly consistent with the mainstream statistical quantum theory with a slightly modified interpretation. This new theory restores physical reality, causality, and classical principles to quantum mechanics and makes it intuitively simple to understand and explicitly to solve for the relevant variables, including their detail, rather than their averages. The only postulate in this deterministic quantum mechanics theory is the fact that the sub-atomic particle (that in the particular case considered here is the electron) is a compressible fluid. The wave particle duality, quantum jumps, transitions between orbitals, electron-particle spin, magnetic effects, and many other details identified in mainstream quantum theory are being shown to have very simple classical explanations in the deterministic quantum mechanics theory. The solutions to the electromagnetic convection equations governing the motion of the electron-fluid are being presented too.