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A NOTE ON THE FORCE OF THE
SPACE-TIME PROGRESSION

In a previous paper of mineš I discussed Hubble’s Law and the Reciprocal System.   I integrated Hubble’s equation to obtain the following equation representing the distance of a galaxy from our galaxy as a function of time:

  r = ro + (vi - ro)e}Ht
(1)

where ro is the gravitational limit, H is Hubble’s constant, and ri is the initial distance.

Now if we go back to Hubble’s original equation,

  V = Hr
(2)

we can differentiate this, instead of integrating it as before.

  dv/dt = H dr/dt = a = Hv = H²r
(3)

Hence, the force of the space-time progression must be

  Fp = m H²r + FG¹-G²
(4)

where m is the mass of the galaxy moving away and FG¹-G² is the gravitational attraction.

This equation should have many applications in the Reciprocal System.


References

1. R. W. Satz, “Hubble’s Law and the Reciprocal System,” Reciprocity, Vol. VII, No. 3