Preston Guynn Dear Dr. Preston. Thanks a lot. See in the URL below, a revised version of the first paper you've cited in your answer:

CMOND critically modified Newtonian dynamics:

https://www.researchgate.net/project/critically-modified-Newtonian-dynamics-cmond/update/5dc6aed2cfe4a777d4eef990

There, you can find some updated and revised info about the problem.

hello Saeb! You are right that Newton's Second law fails there and importantly, nowhere is the actual region to taste it at a perpetual level that is not just because of field-effect but due to no resulting impact for any unbound action in ideal homogeneous and isotropic space too. I must say there is any inertia and inertial effect, nowhere, never. Addressing your question, under such falling the main factor Newton's law glitches is missing the tidal effect that should be accumulated in terms of the radial distance function. For a short period of falling (like in our lab) it is not accountable and quite undetectable (hence showing the Galilean frame to be valid) but for long-range (in absence of air resistance), it should have some definable value. How Second law works here is by simply measuring the time rate of change in velocity showing a constant acceleration and that is obviously neglecting the point to point variances in actual acceleration (gravity) that should actually be addressed from the point of Universal law. It shows the conflict between the Second law and universal law (I have mentioned it clearly in my book). So, if you wish how could we tackle the problem then see Preprint A new course of relative acceleration within Classical regime

Bishal Banjara Thank you.