Please follow my hand-writings of page 1. We will give here explanations about details behind the assumptions:

Einstein’s relativity theory solved a long-time miracle: How can light act in certain experiments as if it has particle properties and in other experiments as if it has wave properties? Particle / wave characteristics gave physicist headache, but Einstein solved these headaches by introducing time as imagininary dimension of a complex unit “ict” which has the same orthogonal conditions as known in the 3-dimensional space. The key difference is the radical change of concept when it comes to vacuum characteristics and to the role of speed of light “c”. In order to fulfill Relativity, the speed of light has to be constant in all inertial systems, independent of measuring speed of the external system under observation or within the own lab system (Eigen-System). This is indicated in the above slide, having an index ‘ for space, time and mass (x’, t’, m’) for moving any system and no index for a system not moving. This automatically leads to the situation where mass approaches infinity, which is the case when a moving object with speed v is coming close to vaccum light speed c.

With these assumptions, space flights cannot overcome vacuum speed of light, humanity is imprisoned within low speed space shuttle operations. Giving the vast and large distances between our galaxies, it seems as if we have to accept to stay on Earth for ever. An intergalactic flight to Sirius - our closest neighbor galaxy - would take us 8,3 years in case we could travel with vacuum light speed, a space shuttle to colonize Sirius would have to fly almost 8*1e13 km, which almost yields to fly half a million times from Earth to Sun. But currently, even fast travelling Voyager has maximum speed of 62000 km/h whereas vacuum light speed is 300000 km/s which means Voyager just travels with 17 km/s or 0,5% of vacuum light speed.

Using this in Equations (1) yields to k tending strongly towards 1, in particular one will find (1 minus 3e-9). Giving the fact that this 3e-9 is 0,0.. with a change of numbers in place 9, one should not be surprised why relativity theory plays a very small role in aerospace industry yet. Even for our fast moving Voyager is far away from any relativistic effects influence its real space flight.