Horace Heffner wrote:
>
> At 5:26 AM 2/15/5, Frederick Sparber wrote:
> >If the energy (E) in the classical equation E = mc^2 intrinsically
contains
> >(is part of) the Vacuum Zero Point Energy (ZPE) then:
> >
> >dE = dmc^2
> >
> >IOW, the classical radius of the fundamental particles, R = kq^2/E or
R
> >= kq^2/mc^2
> >
> >can be varied by "environmental" conditions that vary the intrinsic ZPE:
> >dR = kq^2/dE
> >or dR = kq^2/dmc^2.
> >
> >Thus, a mass change (dm) under one set of conditions can give off energy
and
> >"absorb" it under others.
> >
> >For instance, atoms/molecules in the cold-tenuous upper atmosphere ( or
> >space) can
> >effect a dE (hence mass change of them) which can be reversed in an
> >experiment,
> >that causes an energy releasing mass change dm.
> >
> >Rather subtle?
>
> Looks somewhat familiar to me. Corrected values follow.
>
> Uncertainty of momentum for a particle constrained by distance delta x is
> given by:
>
> delta mv = h/(2 Pi delta x)
>
> but since
>
> KE = 1/2 m v^2 = 1/(2 m) {delta mv)^2
>
> delta KE = 1/(2 m) (h/(2 Pi delta x))^2
>
> delta KE = h^2 /[(8 Pi^2 m) (delta x)^2]
>
> the more you can confine the *position* of a particle the more energy you
> can potentially observe when you sample that energy. For example, if an
> electron can be confined to a 1 angstrom range then there is an
uncertainty
> of 1.06x10^-24 kg-m/s on the momentum and thus 6.1x10^-19 J or 3.8 eV
> uncertainty on energy.
>
Does this mean that Bridgman's high pressure squeezing of water/ice dumped
energy,
then ZPE "pumped in enough energy to allow it to "explode" when the
pressure was released?
>
> However, since delta KE = (delta m) * c^2
>
> delta m = h^2 /[(8 Pi^2 m c^2) (delta x)^2]
>
> so incremental mass due to ZPE increases as the inverse square of the
> confinement radius.
>
Does that square with the mass defect binding energy release of nucleons,
or quarks in a proton, as well as the atomic binding energy in molecules?
Or the 1/R^4 attractive force between the plates in the Casimir Effect?
http://www.edpsciences.org/articles/epl/abs/1999/08/46222/46222.html
"Inclusions embedded in fluctuating fluid membranes have been shown to
experience membrane mediated forces decaying as 1/R4. Modeling the
inclusions as local constraints on the membrane curvature tensor, we show
that the presence of external torques (mechanical or field-induced)
strongly enhances and increases the range of the interactions. Repulsive
mean-field contributions and attractive fluctuation (Casimir) contributions
of range 1/R2 or longer are found, which may combine to yield equilibrium
distances."
>
Frederick
>
> Regards,
>
> Horace Heffner
>