We discovered how an inertial frame can be identified to be preferred over the other of being higher relativistic with respective to time dilation. Gravitons were identified as underlying a postulated Gravitational Doppler effect. It was found that a gravitational field of Gravitons is dynamically Doppler shifted. This enabled a generalization to identify static and dynamic gravitational fields to be equally responsible for all relativistic effects and therefore to be added by Gravitons in a proposed Gravitational Level model, a G-level, where every Inertial Frame does have its own summarized Gravitation Level and all relativistic effects are described by comparing them in the height of this level. This explains why it was true in Special Relativity the “moved clocks are slower” as a moved inertial frame has always a higher G-level by additionally Doppler shifting the resting one. A new discovered Momentum Paradox of Special Relativity, which contradicts irreparably the symmetric mass transformation, explained vividly in a be thought cosmic billiard game, was discovered and solved under Gravitational Level Model and a method to calculate the relativistic momentum using Lorentz transformations correctly only in a relativistically limited asymmetric way was introduced. Models of gravitative nature of the acceleration of solar wind particles and of the hot suns corona could be based on present hypothesis and an experiment was introduced to prove it. The dispute is guided in a vividly manner under using relativistic classic thought experiments and can be understood by anyone with an interest in relativistic physic science.