By means of the groups of symmetry between the angles equal, larger, or shorter than 90 degrees that can be formed with a inclined line and with its mirror reflected counterpart while rotating them through different intervals, a proof about the Euclid’s fifth postulate is suggested.
The complementarity between angles larger and shorter than 90 degrees to form a total of 180 degrees that implies the Euclid’s fifth postulate can be used to illustrate Einstein’s special relativity when using different referential coordinates. And it also represents a key referential guide to describe the quantum states of bosonic and fermionic particles that form the atomic nucleus in quantum mechanics and the link between them through time, that is to say, their supersymmetry.
The symmetric bosonic complex function and its antisymmetric fermionic complex conjugate would represent consecutive moments of the quantum states given by the contraction or expansion of the four nuclear atomic subspaces that would evolve through time, acting as supersymmetric particles, by synchronising and desynchronising their phases of vibration while rotating 360 degrees.
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