Re: Newton's Gravity

Luigi Fortunati il 14/01/2025 10:12:03 ha scritto:

...
[[Mod. note -- You've made a bunch of statements here.  Do you have
any evidence for them?  We do have a fair bit of experimental data
on Newtonian gravitation... are your statements consistent with the
experimental data?
-- jt]]

The experimental data that are consistent with Newton's formula are
also consistent with the formula F=Gm(m+M)/d^2 (with m<=M) whenever <m>
is negligible compared to <M>, because the negligible <m> makes <m+M>
equal to <M> and the two formulas coincide.

Consequently, all experiments where <M> is the mass of the Earth and
<m> is any laboratory mass (infinitely small compared to <M>) also
confirm my formula.

Instead, observations of planets and stars are consistent only with the
formula F=GmM/d^2 because their masses (obviously never measured
directly) were obtained precisely with the formula F=GmM/d^2.

If we recalculated the masses of planets and stars with the formula
F=Gm(m+M)/d^2 (with m<=M), the observational data would be consistent
only with this formula and not with the other.

Finally, there are the experimental data with torsion balances on
bodies of small and verified mass, but these forces (as far as I know)
are too small to be measured in newtons.

And precisely for this reason, I asked if there was an experiment of
this last type suitable for verifying which of the two formulas is more
adherent to reality.

Is there anyone well-informed about torsion balances who can answer?

Luigi Fortunati