W-L theory is based on abstruse QED (quantum electro-dynamics), in which a
'heavy electron' acquires extra mass from a photon 'dressing'.

In classical electromagnetic DC-current flow in wires, I believe this
effect mostly reduces to the inductive energy a conductive electron gains.

This simpler classical physics model is presented in:

"Low frequency plasmons in thin-wire structures"
http://siba.unipv.it/fisica/articoli/J/Journal%20of%20PhisicsvCondensedvMatter_vol.10_1998_pp.4785-4809.pdf

On p.4788, the authors derive this equation for electron effective mass
(m_eff) in an x-y parallel grid of nanowires of 1 micron radius(=r) and
spaced 5 mm apart (=a) in both x- and y- axes of the plane.

   m_eff = (mu_0)*(e^2)*(r^2)*n*ln(a/r)/2 = 14.83 m_p

    where mu_0 = vacuum permeability
          e    = electron charge
          m_p  = proton mass
          n    = conduction electron density for Aluminum

In the paper, 'n' is for aluminum, but nickel has the same 11.7 eV
Fermi energy as aluminum (see [1]).  So the value for m_eff is nearly the
same for nickel.

(The approach used is to divide bulk inductive current momentum in a unit
volume of wire by the number of conductance electrons in a unit volume.)

So,  to overcome the 0.78 MeV barrier to neutron formation in
electron-proton collisions in this wire grid, the minimum electron
velocity 'v'
must satify

    0.78 Mev = 1.25 * 10^(-13) Joule = 1.25 * 10^(-13) kg*(m/sec)^2

    = (m_eff * v^2)/2 = 2.48 * 10^(-26) kg * (v^2)/2

Or, minimum required electron velocity is

    v = 3.18 * 10^6 m/sec


I'm not certain, but I do not think electrons in disordered, amorphous
wires reach this velocity, but that ballistic electrons in sufficiently
long crystalline wires can.

Changing grid parameters changes m_eff and speed the threshhold as well.

Are these assumptions reasonable? Is this check on W-L theory correct?

Comments appreciated,
Lou Pagnucco


[1] EMP AND HPM SUPPRESSION TECHNIQUES - http://dodreports.com/ada360541


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