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It’s created a canonical Lie algebra in electrodynamics with all the “nice” algebraic and 8 geometrical properties of an universal enveloping algebra with the goal of can to obtain 9 generalizations in electrodynamics theory of the TQFT (Topological Quantum Field Theory) 10 and the Universe based in lines and twistor bundles to the obtaining of orbital spaces [1] that 11 will be useful in the study of superconducting phenomena. The obtained object haves the 12 advantages to be an algebraic or geometrical space at the same time. This same space of 13 certain L modules can explain and model different electromagnetic phenomena as 14 superconductor and quantum processes where is necessary an organized transformation of 15 the electromagnetic nature of the space-time and obtain nanotechnology of the space-time 16 and their elements when this is affected by the superconducting fields created by the 17 different electrodynamic Majorana states in the matter and space [2]. Then using the second 18 quantizing formalism to the description of the behavior of the particles of the affected space 19 for superconducting fields created by the BSC-theory (Bardeen-Cooper-Schrieffer-theory) in 20 condensation of the matter where is conformed a fermionic space called set of pairs of Cooper, 21 which are comported as bosons will be the domain of the QED (Quantum Electro-Dynamics) 22 transformations of the space to different actions as magnetic levitation, electromagnetic 23 impulse, etc. Then considering the Hilbert space of their multiple fermionic modes we 24 obtain the fermionic Fock space which describes the quantum organized transformation of the 25 particles to a Fock space of an arbitrary number of identical fermions explaining the 26 superconductivity as a Bose-Einstein condensation in this process. The fluidity obtained in 27 the Bose-Einstein condensation obeys to a Bogoliubov transformation which in this case, is 28 our organized transformation required to produce the micro-electromagnetic effects from 29 the actions of the operators of Lie-QED-algebra whose fermionic Fock space is the given for 30 the affecting of the energy space where exist the fermionic modes as a Plasmon resonances. 31

A Lie-QED-Algebra and their Fermionic Fock Space in the Superconducting Phenomena