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We find difficulties with the constancy of the speed of light and yet if unaffected by external forces all objects will maintain a constant speed. The vector direction doesn't change. So the natural state of objects where forces are absent is constant speed. So there should be no mystery. In the case of inertia this will increase in direct proportion to the increase in relativistic mass. Which is due to a change in the magnitude of the vector of the objects velocity. This does not necessarily apply to a change in vector direction alone.

What is the difference between inertial mass and gravitational mass? As a mass is accelerated photonic energy is added to it and its mass increases by Einstein’s formulaMg = Mo/[1-(V/C)2]0.5 As more and more energy is added to it we get a combination of gravitational energy and linear energy. Inertial mass is higher than the gravitational mass because it is a combination of mass and energy. What is the best fit approximation to inertial mass? If we add a Doppler component we getMi = Mo/ [1-(V/C)2] In the cyclotron we start out as gravitational mass increases then at a reasonably high speed the frontal mass and the rearward mass show great differences. Finally as we get near light speed C we get the inertial mass equation. This will bring us pretty close to light speed. Eventually at the highest speed the simple linear type equations fail and we get a Fourier series type of equation. Einstein’s formula works well but inertial mass is really a combination of spherical energy patterns and linear/orbital energy patterns. Therefore they are different. What do you think?