With the attention being given to acoustic emission ('pops'), I need to say=
more concerning what I believe to be the 'heart' of the problem. It is tr=
ue that such emissions point graphically to the discrete nature of changes =
that begin to happen as one moves in energy toward the mesodynamic range. =
But I don't see them as necessarily the crux of the problem in my postulate=
that spring anelasticity should limit performance. Remember that I previo=
usly mentioned how the potential energy curve is not the smooth parabola re=
quired to yield Hooke's law behavior. Rather, at low energies it has local=
ized metastable components. In other words, like the potential (though inv=
erted) of the system my brother discovered (suspension effect). In that su=
perconductor case, there is absolutely no question but that localized posit=
ions of stable equilibrium exist, superposed on an overall inverted (to fir=
st order, harmonic approximation) parabola. It is the only way the superco=
nducting sample can hang at rest beneath the magnet in seeming violation of=
Earnshaw's theorem. These localized stable points can be visualized as sm=
all 'depressions' in the parabola. In the case of the spring, such a 'depr=
ession' (that is not fixed in time) causes the inertial mass, when sitting =
at rest in one, to be interacting with an effectively 'harder' spring-until=
it is dithered out of that depression. I have even wondered if the reason=
for static friction being greater than kinetic friction is this very mecha=
nism. We know hardly anything concerning friction from first principles; s=
o that everything is empirical, starting with Coulomb. One theorist who ha=
s done some modelling of hypothesized dislocation lattices that could be re=
levant is Prof. Michael Marder at the University of Texas.
With the attenti=
on being given to acoustic emission (‘pops’), I need to say mor=
e concerning what I believe to be the ‘heart’ of the problem.&n=
bsp; It is true that such emissions point graphically to the discrete natur=
e of changes that begin to happen as one moves in energy toward the mesodyn=
amic range. But I don’t see them as necessarily the crux of the=
problem in my postulate that spring anelasticity should limit performance.=
Remember that I previously mentioned how the potential energy curve =
is not the smooth parabola required to yield Hooke’s law behavior.&nb=
sp; Rather, at low energies it has localized metastable components. I=
n other words, like the potential (though inverted) of the system my brothe=
r discovered (suspension effect). In that superconductor case, there =
is absolutely no question but that localized positions of stable equilibriu=
m exist, superposed on an overall inverted (to first order, harmonic approx=
imation) parabola. It is the only way the superconducting sample can =
hang at rest beneath the magnet in seeming violation of Earnshaw’s th=
eorem. These localized stable points can be visualized as small ̵=
6;depressions’ in the parabola. In the case of the spring, such=
a ‘depression’ (that is not fixed in time) causes the inertial=
mass, when sitting at rest in one, to be interacting with an effectively &=
#8216;harder’ spring—until it is dithered out of that depressio=
n. I have even wondered if the reason for static friction being great=
er than kinetic friction is this very mechanism. We know hardly anyth=
ing concerning friction from first principles; so that everything is empiri=
cal, starting with Coulomb. One theorist who has done some modelling =
of hypothesized dislocation lattices that could be relevant is Prof. Michae=
l Marder at the University of Texas.
=