The deflated hydrogen state is defined in this article:
http://www.mtaonline.net/~hheffner/DeflationFusion.pdf
The deflated state deuterium calculations, which essentially
demonstrate the feasibility, and upper bound for the radius, of the
state, are now located at:
http://www.mtaonline.net/~hheffner/FusionSpreadDualRel.pdf
I have previously been unable to compute the state due to a failure
to consider the relativistic and momentum effects on the deuteron.
In such an energetic state, the deuteron radius decreases due to an
increase in its gamma. In a mutual orbital dp/dt for the electron
and deuteron are in balance, their momenta are approximately in
balance, and their de Broglie wavelengths are approximately equal.
The attached computation takes this into account, and demonstrates
that a stable (no borrowed energy required) deflated state indeed can
exist.
The probability of such a state existing as part of an electron
orbital is greatly enhanced by formation of degenerate orbitals
wherein the electron plunges deep toward the nucleus. Such orbitals
exist in some molecules, and can be formed through electromagnetic
stressing of normal orbitals. The deflated state need not exist for
extended periods to cause fusion, if the probability of its
existence, in other words the frequency of its existence, is
sufficiently large.
Though the orbital computation is not quantized, the stratification
due to quantization should be both fine and deep, i.e. contain many
valid states, due to the enormous kinetic energies involved. The
vast majority of the binding energy is magnetic (about 1500 times the
Coulomb binding). This estimate is probably small because
relativistic field pancaking should increase the size of the magnetic
force.
If it is necessary to decrease the wavelength of the electron and
deuteron in relation to the diameter of the deflated state to
properly account for the magnetic field, or to reduce the force
relation between particles, this only reduces the radius at which the
first bound state can occur, it does not preclude existence of the
states. The state is always feasible at some radius.
If the computation does hold up as an upper limit for the set of such
possible states, then this is a major step, because Deflation Fusion
has moved out of the realm of pure speculation into the realm of a
speculative theory.
Horace Heffner
http://www.mtaonline.net/~hheffner/