A Non Fiction Trilogy

**APPENDIX B
MOTION WITHIN MASS AREAS**

**
**

** **If we consider the established
notion of impenetrability the result occurs, that either:

1. Impact is not possible or,

2. Motion transfer is instantaneous

As to the question of having two
motions in the same instant, Jammer describes
Boscovich’s
words: “…it would amount to saying that the body would be bound to have 12
degrees of velocity and 9 at one and the same instant”.^{1}

Boscovich
therefore concluded that impact was illogical and
proceeded to use forces to describe changes in motion (impulse). Others
accepted the notion of instantaneous transfer motion^{2}.

I concur with the later as having two velocities to a body at the same instant only follows from what the concept of an instant is, that is (analogous to mathematical points and area) it is not an interval of time but the separation point of time intervals. So the first velocity occurs up until that instant (of contact) and the second velocity occurs after that instant.

Therefore there is no reason to suppose instantaneous transfer of motion is not possible.

Points of Contact

For rod contact as described in chapter 2, here the contact between two rods have an area = zero. This point of contact on the two rods, or any point of contact of two areas or lines, is the same point (Principle I-1, See Appendix I). This seems odd as the two rods have a outer "point" for each, but when they come together it becomes the same point. But this is so, as that point is just a defining measure, what was the separation of mass area with non-mass area (unoccupied space), becomes, as the gap is closed, the separation point of the two masses.

Instantaneous Motion

So, the quality of motion (momentum)
must “pass through” a point of zero area.
So, if only for an instant, momentum must move in one dimension.
As mass is decreased the velocity becomes
infinite, however, in my opinion, the quality/quantity, even at infinite velocity
remains as the original v x m factor.
So
that when motion is given back from a mathematical point to a mass area the
proportion is *v* x *m* : *v*^{1}
x *m*^{1} again.

1 Jammer, Max, *Concepts of* *Force, A Study in
the Foundations of Physics,* Harvard University Press, Cambridge, Mass.
1957, p. 172

2
Scott, Wilson L., *The Conflict Between Atomism and
Conservation Theory 1644 to 1860*, Elsevier/MacDonald, 1970.General in book.

>Appendix C A Calculation of Transfer of Rotational Motion