# Quantum Gravity 169.1: The Intersection in Wormholes From Spheres and Balls Via Probable Causation

From Osher Doctorow

In the intersection of the Universe's spherical front with the
cylindrical Wormhole having axis along the z axis (both sphere and
cylinder being "centered" at (0, 0, 0)), the z coordinate is no longer
arbitrary but was found in 169.0 to be given by:

1) z^2 = rho^2 - r^2

where rho is the radius of the sphere and r is the radius of the
Wormhole cylinder, which are a particular time are fixed although at
different times they grow as time increases. In the Probable
Causation/Influence (PI) analog, we get arguably:

2) 2z = 2rho - 2r

or dividing through by 2:

3) z = rho - r

The length of the Wormhole is 2z, so from (2) we actually have
equation (2) being more informative in a sense than (3). (2) says
that the length of the wormhole at a fixed time t is the radius of the
Universe minus the radius of the wormhole. However, we must be a bit
careful in interpreting this, because this is not what Euclidean
Cartesian/rectangular equation (1) says precisely. It is probably
best to regard (2) and (3) as Probable Causation/Influence Phase
analogs of equation (1) which is the equation that we would ordinarily