Lorentz Transformation and Minkowski Spacetime Would Give Two Different Theories of Special Relativity

This paper critiques the established loss of simultaneity in special relativity which comes from Minkowski diagrams. Einstein's original thought experiment, with a train (observer M’), an embankment (observer M) and simultaneous lightnings, will become our test. For our purpose, lightnings will become photons. By applying the two postulates of special relativity (speed of light and principle of relativity), the paper shows that simultaneity should be observed by both observers. This would imply a superposition of some kind, as the photons meet simultaneously M and M’ while they are not at the same position. By using Lorentz invariance (therefore pure calculation), the conclusion of simultaneity for both observers will be confirmed. The superposition could be a quantum superposition. The conclusion is that Minkowski diagrams with their oblique coordinates are probably correct but, lacking the idea of superposition, fail to fully describe special relativity.