A Note on the Space-Time Progression

A NOTE ON THE FORCE OF THE
SPACE-TIME PROGRESSION

In a previous paper of mine¹ 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 = r_o + (v_i - r_o)e}^Ht

(1)

where r_o is the gravitational limit, H is Hubble’s constant, and r_i 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_G² H²r + F_G¹-G²

(4)

where m_G² is the mass of the galaxy moving away and F_G¹-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