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/



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