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(see pdf files attached)The hypothesis proposes the existence of a process linked to gravity, this phenomenon would affect mass-energy. It would be required to add an additional condition (being a more restrictive scenario) keeping the field equations that define space-time curvature, but by adding the condition linked to the proposed phenomenon, the trajectory that would follow mass-energy in that curved space-time, changes with respect to the established by the officially accepted model. The effect is negligible if the distortion of space-time caused by a gravitational field does not have a significant value. The hypothesis proposed allows to calculate mathematically the discrepancy that would exist with respect to the current model. In case of being correct, the proposal would have important implications in diverse areas of science and its effect would be determinant in the study of black holes or questions related to Cosmology.
Summarizing and simplifying, The proposal adds an additional condition, so that when a body changes its physical state to one with higher time distortion, that variation requires energy. Concerning special relativity, that energy is the kinetic energy and concerning General Relativity (besides all the already known effects) would be at the expense of the velocity term of the kinetic energy, That effect is negligible insofar the variation of the distortion of time is not a significant one.
The proposal is a hypothesis that shows discrepancies at the vicinity of black hole´s event horizon, so it might be tested whether it is a correct one or not. "We don´t really know what gravity is", I do agree, although many scientists do categorically affirm that gravity is a well known phenomenon and all the laws concerning gravity are well established and there should be no more discussion about that. I do emphasis the word categorically, Certainly current model allows to do very accurate calculations, so they have a point on that, nonetheless say something categorically is not a scientific behaviour (that is my personal opinion) specially when there are certain issues concerning gravity that are still not perfectly defined (for example singularities). Not knowing all the features about a phenomenon should not prevent us from trying to establish a model and that is what the officially accepted model is doing (I do share that point) but it should not prevent us from trying to improve that model, that is the goal of the proposal. If you read carefully the presentation or the paper, you wil check that it tries to get a better understanding of gravity. Gravity has a linked process (hypothesis) which requires energy (reducing velocities with respect to the expected by the model) when passing to a higher space-time distortion area and frees energy (increasing velocities) when the reverse process takes place (that should take place for example at expansive scenarios, and concerning expansive scenarios we found that galaxies are moving away from each other at higher velocities than expected). Kinetic energy is a key issue, has to be taken into account the conundrum of SR and GR. A body with velocity and a different gravitational potential with respect to another one suffers two types of space-time distortion, the corresponding to SR and GR. the energy available has to fulfill the requirements of the kinetic energy linked to SR and the energy linked to the proposed process. It adds a condition to the equations, it is a more restrictive scenario, it has to comply the current equations plus the added, the additional one implies that the velocity of a free fall body would be reduced comparing to the expected value (that discrepancy is negligible insofar distortion does not reach a significant value)