On May 4, 2007, at 5:22 AM, Jones Beene wrote:
Horace Heffner wrote:
> Angular momentum appears not to
be conserved instantaneously from a Newtonian viewpoint when the
earth rotates and thus precesses. So much for assuming a mass
exists at its center of mass too, for calculation purposes. It
seems to me gravimagnetics or some other invention is essential to
restore conservation of angular momentum, at least on an
instantaneous basis.
Another related factor which might enter into consideration here is
that instead of angular momentum being conserved separately from
linear momentum, it could be instead (as an alternative hypothesis)
that only the cross-product of the two is conserved.
Newton and the mainstream assume that linear and angular momentum
are individually conserved. Or, in other words, that linear
momentum cannot be converted into net angular momentum, and vice-
versa.
That is the accepted POV according to mainstream physics, but not
according to several other (fringe) observers like:
http://www.open.org/davidc/GITheory.htm
Take it for what its worth - it's not exactly a new wrinkle, and
the effect is tiny - and many well-armed experts will scoff at the
suggestion, but nevertheless the wrinkle of two interacting kinds
of momentum has not been ironed-out to everyone's satisfaction yet.
Jones
Here's some free association wishful thinking and thought salad along
those lines.
I don't think the cross product is instantaneously conserved. If I'm
thinking clearly, the situation looks something like for momentum
vector p:
dp / dt = m g
and for angular momentum vector L:
dL / dt = (grad g) sin(2 theta) x L
dL / dt = -2 g/r sin(2 theta) x L
The momentum changes instantaneously with the inverse of r^2, and the
angular momentum changes with the inverse of r^3, and has that weird
sin(2 theta) term in there, where theta is the angle between the
vectors g and L. What is most interesting about this lack of
conservation for the EM propulsion fan is the prospect of replacing
(grad g) above with grad E, and thus really souping up the jalopy.
In a well engineered situation, we see we can possibly, in a
recyclable fashion, turn grad E into dL/dt. The unsolved problem
then is to convert the gained angular momentum change into linear
momentum.
The 2 theta term I threw in because there is no instantaneous change
to L when theta is zero or when theta is +-90 deg. The torque due to
grad g is maximum when theta = 45 degrees.
This seems to indicate the E x B stuff for EM propulsion is
misguided. We want to maximize (grad E) at 45 deg. to B.
The converison of angular momentum change to linear momentum
hopefully can be engineered to come from the simultaneous emission of
photons and graviphotons by the induced precession. Given the
negative energy of a graviphoton, and negative momentum exchange, it
is hopeful a graviphoton can be emitted simultaneously with a
graviphoton in the opposite direction, and thus get a double dose of
momentum for zero net energy cost.
A free lunch ... what a dream.
The problem with this line of thinking is mixing the metaphors. The
instantaneous lack of conservation appears to be due to Newtonian
mechanics. A full gravimagnetic analysis might produce conservation
again, yet it is invoked at the end as a prospect for gaining the
linear momentum. Still, there are some interesting experiments
indicated ...
Regards,
Horace Heffner
