Re: The simplest possible collision.

Gerald L. O'Barr <globarr...@xxxxxxxxx> wrote:
The simplest possible collision.

(Please use a fixed width font to read this post!)

Let us consider a simple collision:

And where are all the good responses?

Then let us have an O'Barr to O'Barr response:
Since no one seems to understand spalls,
look at this!

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The simplest possible collision involving a spall.


What is a spall?
Here is one possible description of a spall. It
might not be the only description, or the best
description. But spalls must be considered as a
possible act when we are dealing with pure matter and
pure space, or when we are on the ether level.

Take two objects of mass Ma1 and Mb1 moving on an
inertial line with velocities Va1 and Vb1
respectively. Let them have a direct, central hit,
with no spins before or after. And let there be a
complete conservation of mass, kinetic energy and
momentum throughout the interaction.
Let us be viewing this act from a line that
contains their center of mass, that is perpendicular
to their collision line, where we can see Ma1 coming
in from the left, and Mb1 from the right.

We can write the following equations:
1) Ma1 + Mb1 = Ma2 + Mb2
2) Va1 *Ma1 + Vb1 *Mb1 = Va2 *Ma2 + Vb2 *Mb2
3) Va1^2*Ma1 + Vb1^2*Mb1 = Va2^2*Ma2 + Vb2^2*Mb2

Equation 1) is simply the conservation of mass.
Equation 2) is a conservation of momentum. Equation
3) is conservation of kinetic energy, times two. We
can assume that we know the input: Va1, Vb1, Ma1, and
Mb1. The variables not known are Va2, Vb2, Ma2 and
Mb2. Since we only have three equations and four
unknowns, then it seems to be impossible to solve for
these unknowns. So what do we do?

Let us get as serious as we can get. And let us
start all over. These two objects are made up of the
same kind or type of mass. A particle from one is
identical to a particle from the other. If the
collision zone were a black box, and the details were
hidden from us, then it could not be known which
original particle that any mass came from that
reappears from this black box.

Let these two objects approach each other, and
upon collision, let them collapse upon each other and
form one body. This collapse could take place upon
an identifiable surface.
Now if conservation of mass, momentum and kinetic
energy are to be maintained, we must know something
about this situation. One body is unstable in that
while it is one body, it cannot maintain the same
collective value of mass, momentum and kinetic energy
that two separate bodies can do. Therefore, at some
point in time, this one body must break apart into at
least two new bodies if full conservation is to hold.
As this body reforms two new bodies, a division
within this body must occur, and the surface upon
which this division occurs could possible be an
infinite number of surfaces, providing a set of
bodies where one body could range from a near zero
mass up to near the total sum of their original
masses. The other body would of course then have all
of the remaining mass.
The point is this: the two new bodies formed might
be along a division line different than the original
surface upon which the original bodies had collapsed.
Thus, the mass of these two new bodies might not be
the same division of mass that existed for the
original bodies.
When a body collapses from two into one, and
then brakes apart into two different bodies (bodies
having different masses), that is a spall. In the at
theory, we consider the spall to be accomplished with
no loss of energy.
Since this is important, let us repeat what was
said. If two bodies combine in a collision, and then
they re-separate upon the same surface upon which
they had joined, this would be the same as if they
had bounced. This would result in the same results
that would occur in a normal collision that we see in
our everyday world. But if the division is a
different division, where the two bodies end up with
two different values of mass, then we have a need to
bring our collision equations into a form where
changes in mass between the bodies can be properly
handled.

Now as we consider these spalls, we find that
there is one class of spalls that are very
interesting. There is one choice of separation
surfaces where the mass of these two new bodies
matches the original masses, but the division surface
is such that these two bodies are on the opposite
sides of each other as they were before they hit.
And when this occurs, it is called a perfect spall.
In these perfect spalls, the object that leaves
going to the right, leaves with the same mass as the
object that came in from the left. And the object
that leaves to the left, leaves with the same mass as
the object that had originally came in from the
right. When these perfect spalls occur, we find that
the math produces for us the identical kinetic energy
and momentum that existed before the collision.
There really was a collision. There really was an
exchange of mass that occurs. There really were all
these things going on. But the final results are
identical to what existed before the collision. It
was as if there had not been a collision.
And it will be these perfect spalls that will
exist in the ether that will be able to help us
understand this ether. If all bodies moving through
this ether experienced these perfect spalls, then
these objects would move through this ether with no
effects at all. Their individual masses would not
change, their total kinetic energies would not
change. Their total momentums would not change. And
all this would occur no matter how thick the ether
particles were, or how much mass they had, or how
fast they were moving or not moving. It would appear
as if nothing were there. And the math supports such
an assumption.
Now I know that many things were left unsaid. The
ether cannot really produce only perfect spalls, for
then there would be no reason for it to exist. What
is going on, is that there are some situations where
perfect spalls occur, and other situations where they
do not occur. But near perfect spalls is the
standard. And any deviation from a perfect spall is
considered to be a situation where mass is exchanged
between the colliding particles.
Now it is true, that to get a perfect spall
requires an exchange of mass, specifically the mass
that is exchanged in a perfect spall is +/- (Ma1 -
Mb1). So the mass that is exchanged that is
different than this perfect amount is called the
exchange mass. Have I made all this confusing
enough? Anyway, by denoting this exchange of mass as
being the deviation from a perfect spall ends up
being very helpful in terms of the math.
I often make this exchange of mass to be the
variable d. And as d approaches zero, then the
forces approaches zero. And d, and various functions
of d, are the factors that govern the forces between
objects in the ether.

So let me just state the following: To solve the
above problem, I assume the following:
The object ending up going to the right is made to
be the mass of Ma1 + d, the mass that ends up going
to the left is given the mass of Mb1 - d. By doing
this we fully maintain conservation of mass. And if
d is zero, we have a perfect spall. And by using d,
we end up with only three unknowns, Va2, Vb2 and d.
The value of d can of course be plus or minus. We
can now solve some of the equations that need to be
solved and understood as they apply to the ether.
Eventually, to get all the variables of space that
might be needed, we might of course have to add spin
to these ether particles. But in terms of major
forces, we have more than an adequate start.


Thanks for reading.
Gerald.


P.S. So who is going to now solve the collision
equations for spalls? And who is going to find what
forces can exist by using spalls? Please note, that
all forces that use spalls must be determined only
after all major masses have returned to some mean
value. In other words, we want net effects, not
intermediate effects. And approximations are fine.
Easy approximations can be obtained if we keep d to
be small, etc. And no fair looking at some of my old
posts.

.

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