This study's aim was to investigate the Energy embedded in electric and magnetic fields in Space. A detailed analysis has shown that in every point of Space, and all the time, electric and magnetic fields annihilate each other, so that their embedded Energy at any point in Space seems to violate the "Energy Conservation Principle". The novel "Energy Pairs Theory" was used to resolve this problem. The Energy Pairs Theory's, central idea is that pairs of certain Energies, such as the energies embedded in electric or magnetic fields, can be accumulated and stored together in a state called:"Energy Pair", where they disable each other from being detectable so that they exist but cannot be detected. Thus, "Energy Pairs" constitute a type of energy called: Untraceable Energy. The analysis entailed some revolutionary conclusions: (1) Each point of Space consists of a dynamic mixture of two types of Energy: traceable energy and untraceable "Energy Pairs". Thus, Space is not 'Emptiness'; Rather, Space is Energy! (2) The unexplained Dark Energy is likely to be composed of the untraceable "Energy Pairs" in Space. This study shows that the Energy Pairs in Space constitute about twice the amount of the traceable energy of Space, which provides evidence that is, in good compatibility, with the cosmologists' evaluations that the Dark Energy makes up about 70% of the Energy in Space. The unification of Space with Energy, concluded in this study, complies also with the requirement of Einstein's General Relativity Theory that Space must be composed of some 'substance', such as Aether, to provide physical properties to the Space/Time entity.Thus, the Energy Pairs Theory might also turn to be a connecting link between Electromagnetism and Gravitation.