On Oct 28, 2009, at 5:20 AM, froarty...@comcast.net wrote:
Robin,
If you mean the basic reason you can't have a "real" sub ground
state the kinetic energy argument is here http://www.phact.org/e/z/
hydrino.htm E= -me^4/2h^2
The argument against this is that the electron wavefunction is folded
over the orbitsphere so as to overlap itself, and thus it is not
confined to a box that violates uncertainty.
I made the same uncertainty violating argument here:
http://www.mtaonline.net/~hheffner/PhotonMills.pdf
However, this kind of argument only works *on average*. Notice the
article update at the end where I noted that this does not preclude
the momentary existence of state, because energy is uncertain and
energy necessarily varies with time, so regardless the energy
required to "compress" the electron against uncertainty pressure,
i.e. below ground state, that energy is on average periodically
available no matter how large E gets because:
delta E * delta t >= h_bar/2 = h/(4 Pi)
so there is always a delta t that is small enough (as long as it is
no smaller than Planck time, tP = 5.39142x10^-43 s) to briefly make
the incremental energy delta E available for the state. All this
means is the smaller the state the shorter the half-life for the state.
Note that for the Plank time tP that delta E = h /(4 Pi tP) =
6.10426x10^26 eV = 97.8 MJ. Wow, 1.81x10^50 watts, that's power! 8^)
Best regards,
Horace Heffner
http://www.mtaonline.net/~hheffner/