Lorentz multiplier for Quantum states
N =1 is assumed to be 45 degree for flat space sharing dimensions equally. As Velocity increases toward C on spatial axis XYZ time is suppressed (event horizon), As velocity increases toward C on time axis the spatial axis XYZ are suppressed (Casimir cavity).
If relativistic H1 forms relativistic H2 it is also denied mobility just like hydrogen molecules near the mouth of the cavity that were unable to diffuse into the depletion zone. The relativistic H2 however has accumulated velocity, is still in a frame with a different acceleration rate and is subject to gas law - heat still trying to diffuse the molecule in opposition to this confinement. The vacuum fluctuations of this still diverging relativistic frame build "organized" boundary conditions with the covalent bond of the confined molecule which breaks the bond and restores the atoms to monatomic levels using ZPE. You could also say the energy is provided by gas law for those opposed to ZPE :_)
When relativistic H2 forms inside a cavity it emits a photon then becomes spatially confined in opposition to the moving frame and gas law. When these forces accumulate to break the covalent bond the atoms reorient to the appropriate "fractional quantum" angle for the local Casimir geometry and the cycle starts over in a photon emitting cascade between H1 and H2 that does not consume the hydrogen. This continues until the atoms escape the cavity or the geometry overheats and grows shorts that relieve the depletion zone.
A patent US 7,379,286 B2 awarded May 27, 2008 to Bernard Haisch and Garret Moddel leverages Casimir force which they refer to as Casimir -Lamb shift. Their planned prototype of Casimir columns formed by milled columns through metallic plates separated by insulation layers are arranged in a stack. they drill an array of .1 micron columns through the stack which unlike Rayney nickel has a feed through path separated by insulators that force the depletion zones in each plate of each column to translate through its full range of values which is a vast improvement over the skeletal catalyst used by Mills. A recent discovery by Peng Chen at Cornell University Finds nanotubes only have catalytic action at ends and at defects where plate spacing changes. This indicates The Haisch - Moddel cavity columns with insulation breaks is superior to skeletal catalysts used by Mills. Although the skeletal catalyst has stronger depletion fields due to much smaller geometry the Rowan validations appear to release a burst of energy and then the Mills reactors are finished while the Haisch - Moddel model is designed to run continuously. Their .1u diameter cavities are much weaker, form columns that allow circulation control and mixing ratios of diatomic to monatomic gases and simpler heat exchange. Although the methods of confinement and the physics being exploited differ they both require the Casimir cavity to establish a differential zone where normal reactionary forces are partially suspended allowing what appears to be over unity but is actually rectifying energy from the ZPF.
Best Regards
Francis X Roarty http://www.byzipp.com/energy/excessHeat.htm