I have seen a number of posts indicating that while it seems impossible to identify any difference between the inertia from acceleration and the inertia from gravity, there has been no theoretical reason discovered why they must be the same

I have been thinking about this...

As an object is accelerated, its space-time co-ordinate system is changing relative to its original space-time co-ordinate system.

We normally don't consider this effect until the velocity difference reaches a substantial fraction of the speed of light, but it does still happen at "normal" speeds.

One might expect such a change to require the transfer of energy,

(which with suitable mathematical shenanigans should lead to F=mA).

The gravitational distortion of space-time by a mass also causes a change of an objects space-time coordinate system.

Can the effects of these two methods of altering the space-time coordinate system be equated?

If so, could not the acceleration and gravitational inertia also be sensibly equated?

Note that is really just idle speculation on my part.

Please feel free to pull the idea apart, the reasoning against it will be instructive.

I have been thinking about this...

As an object is accelerated, its space-time co-ordinate system is changing relative to its original space-time co-ordinate system.

We normally don't consider this effect until the velocity difference reaches a substantial fraction of the speed of light, but it does still happen at "normal" speeds.

One might expect such a change to require the transfer of energy,

(which with suitable mathematical shenanigans should lead to F=mA).

The gravitational distortion of space-time by a mass also causes a change of an objects space-time coordinate system.

Can the effects of these two methods of altering the space-time coordinate system be equated?

If so, could not the acceleration and gravitational inertia also be sensibly equated?

Note that is really just idle speculation on my part.

Please feel free to pull the idea apart, the reasoning against it will be instructive.

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