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The gravitational mass and the inertial mass equivalence - the underlying mechanism in the grid model

It is a consequence of the grid field when a particle by acting force on it is "feeling the same experience" as a particle mov...


It is a consequence of the grid field when a particle by acting force on it is "feeling the same experience" as a particle moving without force on a deformed grid.  

Explanation
Experiences demonstrated with high accuracy that in our universe, the gravitational mass and the inertial mass are equivalent in quantity. The general relativity theory is originated from this equivalence. However, what could be the underlying mechanism, which produces the equivalence of the otherwise, seems a very different phenomenon?

It was supposed in some earlier thoughts that our physical world exists on an underlying transparent grid structure. The geometrical structure of the grid creates our space structure, and this geometrical structure is determined by the particles existing on this grid. (This corresponds with the theory of the general relativity theory with the main difference of the time does not appear as a space-like dimension on this grid structure).  

Intuitively describing, the grid becomes denser where more particles are present. When a particle (a vibration of the grid) moving (the vibrating grid element passes its vibration to the neighboring grid element) on this grid structure, it is moving on the direction of the next closest grid elements, so it is following the deformation of the grid structure. Because the grid structure deformation corresponds to the containing particles, more particles create a denser grid structure. The inertially moving (moving without acting force on it) particles following the structure of the grid, and passing more and more grid elements on the given time as it is directing on the denser grid structure. As we can experience, it is following the law and act according to the known formula of the gravitation, we are experiencing as it is accelerating. 

Turning to the inertial mass, when a particle moving with force acting on it, it is accelerating, so, as it is moving through the grid structure, it is passing more and more grid elements. The acting force creates the same phenomenon as the deformed grid structure creates when a particle moving through on it. 

If an underlying grid structure, as it was described, would provide the base for our universe, the gravitational mass and the inertial mass would be the same in this structure.

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