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/




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