“ It could be energy or momentum but not mass. ”
E=MC^2. Energy and mass are two forms of the same thing. The most massive portion of our Universe(comprising 70% of the observed total mass)is what we call Dark Energy. Atomic weapons produce so much energy because the reaction converts mass into energy. This is really basic stuff far too well supported by the facts to be questioned by you, at least successfully.
“ As it was concluded by many in this and other threads actually is not mass which augments with velocity. ”
Non-sense. No one who has the least bit of understanding of Relativity and it's effects would conclude any such thing. When you say energy, you are also saying mass, period. Any kind of energy. The main reason that no object with mass can reach lightspeed is that every increase in velocity causes an increase in mass, which requires even more energy to accelerate further, which causes even more mass, which requires more energy...more mass...more energy... It approaches infinity in both mass and energy to accelerate those last few bits toward zero Tau, even if you start with a single electron in an accelerator. This is why an accelerator with 1 Tev power will drive electrons at 99% of the speed of one with 100 Tev. All that additional energy is simply to accelerate that last 1%. Neither can accelerate an electron to lightspeed, nor could an accelerator of 1000 Tev, or a million Tev, or ten trillion Tev. All of that additional energy would go into that last percentage of lightspeed, but each step up in power(orders of magnitude)would only give you less and less additional speed, the energy increase is almost all in the mass increase of the particle, very little actual increase in speed occurs.