OK, Horace,
I know I need some help which is why, as Jones pointed out I brought it here. It sounds like you now follow my "miracle" path- Right or wrong you caused me to at least organize all the dots I am trying to connect into a format that can be followed. You rightly point out the need for explaining several miracles which I probably can not do without some big name help but if I organize the path well enough I may be able to entice Prevenslik, Bourgoin or Naudts to take a closer look at it from the perspective of their present contributions. [snip] Unless I missed something, neither the article by Naudts nor by Bougoin has made any statements with regards to cavities. They are discussing the possibility of stable sub-ground state hydrogen based on relativistically consistent orbitals. [Reply] You are correct; I missed a step, I associated the hydrino with the cavity based on Mills' claims of producing the hydrino inside Rayney Nickel catalyst which meet Casimir geometry. Although BLP is claimed to have exotic hydrides formed from hydrinos In their labs, AFAIK no one has ever produced a hydrino outside of a cavity. My premise is that the hydrino is relativistic hydrogen and therefore can only be perceived from another time frame such as a deep gravity well or as I propose to coin a term, inside a Casimir "gravity hill". Mills was able to "deliver" hydrinos to Rowan Univercity only as hydrogen in situ within the pores of Rayney nickel and the translation would only occur to atoms after disassociation. [snip] the computation does not involve motion of the atom with regards to the observer. It has only to do with the change in mass of the electron, m = gamma*m0, due to relativistic (high energy) circular motion of orbitals. Saying "that hydrino can exist in a cavity only has a relativistic solution." Is like saying "that lead (Pb) can exist in a cavity only has a relativistic solution." The cavity is irrelevant to the cited references. [Reply] Pb is not a fractional state element like the hydrino but ok your point is I haven't proved that a Casimir cavity changes the relativistic solution for ground state of anything. Below I appended the premise to include Mills part in the story and remove any assignment of "cavity" property to Naudts or Bourgoin. Casimir cavities stretch space-time into a "gravity Hill" as opposed to a " gravity Well" based on the following. 1. Mills' claim hydrino formed inside skeletal catalyst Rayney nickel has up to 137 fractional quantum states. 2. Naudts <http://arxiv.org/abs/physics/0507193v2> and Bourgoin <http://www.m-hikari.com/astp/astp2007/astp5-8-2007/bourgoinASTP5-8-2007.pdf > math that these fractional states can exist as a relativistic solution 3. I propose the orbital can collapse spatially below Bohr radius because the "displacement" to the nucleus has been partially converted to temporal units. The fractional quantum radius only exists from our 3D perspective outside the cavity observing the hydrino inside. 4. Prevenslik <http://www.geocities.com/sonoluminescence2004/casimir.PDF> work replicating Casimir effect through "up-conversion" indicates nature has method to convert IR >> VUV via conservation of energy. I posit this method is relativistic based on 2 -3 above and therefore all frequencies (entire spectrum including virtual photons) only "appear" up-converted from our perspective. 5. Christian Beck papers, Measureability of vacuum <http://arxiv.org/abs/astro-ph/0605418> fluctuations and dark energy and [3] Electromagnetic <http://arxiv.org/abs/astro-ph/0703364> dark energy relating virtual photons below 1.7Thz more gravitationally active than those above. I posit the ratio of virtual particles above and below 1.7Thz CHANGES approaching event horizon to reflect Beck's theory the larger virtual photons are more gravitationally active. 6. I postulate therefore the "up-conversion" in a Casimir cavity is relativistic, perceived outside the cavity as full spectrum, but the change in ratio of virtual photon frequencies is in the opposite direction creating a gravity "Hill" or lack of gravitationally active virtual photons as opposed to a gravity "Well". Best Regards Fran