From Osher Doctorow
For a dimensionally homogeneous force equation, of course, we need a
dimensional constant k which when multiplied by F_g^(-1) will give the
dimensions of force. Then a "generalized Force" F is:
1) F = F_g + k(F_g)^-1
or in terms of distance r:
2) F = Gm1m2/r^2 + kr^2
where k in (2) is extended to incorporate G, m1, m2. Writing 1/r^2 =
proximity^2 since distance = "farness", we can write (2) as:
3) F = Gm1m2 proximity^2 + k farness^2
Osher Doctorow
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