A very peculiar emergent definition of gravity

[arivero]

Newtonian gravity is the force law such that for any mass M, the circular orbit of any test particle m at a distance equal to the Compton length of M has the same areal speed, independent of M and m.

I wonder, have you seen this sort of definition online in the literature? I guess that independency of m is used in most arguments, but independency of M is less usual.

 

[PeterDonis]

Newtonian gravity is the force law such that for any mass M, the circular orbit of any test particle m at a distance equal to the Compton length of M has the same areal speed, independent of M and m.

Where are you getting this from? Do you have a reference? I'm thinking not, since you say:

have you seen this sort of definition online in the literature?

Please note that personal speculation is off limits here.

 

[arivero]

It is just the reciprocal of the old exercise we did here

https://www.physicsforums.com/threads/calculating-the-quantum-kepler-length-of-a-particle.14007/

But that was before all the emergent gravity bubble so nobody in the thread considered the inverse.

 

[PeterDonis]

Thread closed for moderation.

 

[PeterDonis]

the old exercise we did here

That was 20 years ago and our rules on speculation, even in the BTSM forum, are much stricter now than they were then.

Thread will remain closed.