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Fractional quantum state hydrogen, also coined the hydrino only exists as a mathematical construct to calculate values that cannot be physically measured between different inertial frames. The confusion arises because it wasn't made clear the equations solving for such states were from a relativistic perspective where the observer and his ruler exist in different inertial frame from the faster moving orbitals inside the cavity. Like the Twin paradox from Physics 101, IF the twin on earth using his earth bound ruler could somehow measure his twin at high acceleration he would find his twin and the hydrogen atom each carried with them both appear shrunken due to displacement on the time axis which has no distance unit of measure but still reduces an objects perspective as it displaces in either direction. The "high velocity” twin and his own ruler would likewise see the earth bound twin shrunken from his temporally displaced perspective regardless of spatial proximity. Of course neither is really shrunk but the High Velocity twin exists at fractional seconds per second compared to the relatively stationary twin on earth who ages more rapidly. Similarily, the hydrogen that diffuses into a Casimir cavity experiences an "equivalent de-acceleration" the reverse of an " equivalent acceleration" a spaceship would experience in a deep gravity well like an event horizon where it appears to "hold a stationary spatial position" in opposition to the falling gravitational field but still experiences time dilation just like the "high velocity" twin. The hydrogen inside the Casimir cavity doesn't have to move spatially anymore than the spaceship approaching the event horizon does, this is relative motion to a gravitational field measured between an object remaining spatially stationary inside the cavity(like the spaceship in a deep gravity well) and a reference object outside that cavity where the gravitational field and therefore relative motion is different. The reference outside a Casimir cavity also remains spatially stationary so the differential in relative motion to the field outside vs inside a cavity is on the temporal axis where X,Y,Z of X,Y,Z,t remain relatively stationary while confinement of spatial axis as defined by Casimir cavity allows the temporal acceleration vector to accept donations of heat energy from the other axis most notably the diminishing axis of the closing plates (normally considered X axis) in 3D it approaches a 2D limit just before closing completely.

The deceleration of the external gravitational field inside the cavity would normally be an inconsequential 10 E-14 Newtons of force as calculated by Italian researchers Di Fiore et al and it would take hydrogen atoms a long time to build significant "differential" velocity and only a short time to dissipate that same velocity when compounds form at velocity in opposition to the confinement which is much stronger for diatomic compounds (cavity geometry is selected for this quality like Rayney Nickel or Pd). The confined geometry resists high acceleration for diatomic compounds but also allows the differential vector to redirect heat energy to further accelerate monatomic hydrogen on the temoral axis. This escapes the normal mechanical linkage back to our space outside the cavity through displacement in time. Atoms are pushed sidewise in time instead of in a spatial direction effectively trading time for energy and avoiding the expected back pressure of circulating gas through these cavities - instead we produce "much older" hydrogen and excess heat when the molecules form at high relative velocity and are immediately torn apart by a rigid cavity selected for geometry that impedes high velocity diatomic motion.

A little history, On August 12th 2009 BlackLight Power, Inc. (BLP) announced that scientists at Rowan University independently formulated and tested fuels that on demand generated energy greater than that of combustion at power levels of kilowatts using BLP’s proprietary solid-fuel chemistry. Rowan University professors have reported a net energy gain of up to 6.5 times the maximum energy potential of the materials in the system from known chemical reactions. Unlike previous validations in the fall of 2008 using powder provided by Black Light Power this was accomplished using off the shelf chemicals with only a recipe provided by Black Light Power. In both cases the energy produced exceeded known chemistry but using off the shelf chemicals quiets much of the speculation regarding some overlooked energy source in the method of preparation. This is not to say I agree with BLP theory which I do not and most certainly do not accept the fractional state hydrino but rather present their results as a recent example of excess heat. Other reports include Arata in Japan, Energetics in Israel and SPAWARS in California. This whole subject of anomalous heat production regarding monatomic hydrogen and different catalysts has been a long standing mystery in the scientific community. From Irving Langmuir’s circa 1939 Nobel Prize work with Atomic Hydrogen to Ponds and Fleischman work in the 80's and a bevy of recent reports all around the world. Trying to unravel this mystery has taken many paths, Cold Fusion, bubble fusion, LENR, cavitations and Casimir cavities to name a few. Much of the controversy has revolved around claims of a fractional quantum state where the orbital radius drops below the Bohr radius. I am proposing these so called fractional quantum states or hydrino states as defined by BLP are not real but rather relativistic and can only be observed from outside an equivalence boundary like a Casimir cavity. Atoms inside the cavity remain unchanged relative to each other in the same manner that the model Twin Paradox of physics allows the twin approaching C or an event horizon to remain unchanged relative to his own frame nothing happens.

A little theory, Casimir plates are inherent in a rigid catalyst and create a "depletion zone" where a whole number value of longer wavelength vacuum fluctuations cannot fit between the plates. These wavelengths are thought to "up convert" to shorter wavelengths according to QED theory although, from a relativistic perspective of up conversion one might say the vacuum fluctuation simply de-accelerates relative to the gravitational field outside the cavity and therefore only "appears" faster from our perspective (space-time "unstretches" inside the cavity vs. outside). the wavelength
"turns" on the time axis presenting a faster smaller profile from our perspective -see animation The theory that space inside a Casimir cavity has equivalent acceleration ( actually "de-acceleration" is more appropriate compared to ambient gravity field outside the cavity) was first proposed by Di Fiore et all in a 2002 paper "Vacuum fluctuation force on a rigid Casimir cavity in a gravitational field". They proposed the possibility of verifying the equivalence principle for the zero-point energy of quantum electrodynamics, by evaluating the force, produced by vacuum fluctuations, acting on a rigid Casimir cavity in a weak gravitational field. Their calculations show a resulting force has opposite direction with respect to the gravitational acceleration, their calculations indicates an equivalent acceleration between the gravitational fields "falling “outside the cavity relative to inside the cavity. This force of only 10 E^-14 N appears inconsequential but it is a constant acceleration which accumulates into frame divergence. I prefer to call this de-acceleration because the isotropy is broken by a Casimir shielding effect that leaves the depletion zone dragging behind the "faster falling" external gravitational field. This is not anti gravity but just (vey locally) a non homogeneous field - for every depletion zone there will exist an averaged concentration in the lattice structure of the surrounding plate region to balance the net field of the material back to ambient.

Black Light Power’s definition of the "hydrino" and other “fractional quantum state hydrogen" definitions are wrong. Here Mills' should be commended for excellent technical skill in capturing valuable data and improving the output despite a seriously flawed theory. Not that his mistake is surprising since DiFiore et all did not introduce the idea of a Casimir cavity until 2002 the obvious assumption to explain the increased energy had to be a change in the orbital diameter since Planks constant and time were the only other variables involved and there was no reason to suspect a relativistic effects at the time! Mills had to work without the 2002 paper by the Italian researchers proposing the Casimir cavity as a source of equivalent acceleration and it wasn't until 2005 the term "relativistic hydrogen" was proposed in a paper by Jan Naudts“ On the hydrino state of relativistic hydrogen atom” . This is a much more appropriate term sometimes called "fast" hydrogen which should be applied. Naudts calculations showed that detractors of Mills' hydrino and other fractional quantum theories had overlooked relativistic effects inside a Casimir cavity. Naudts should have been clearer in conveying that relativistic hydrogen is not the fractional quantum hydrino as defined by Mills - the orbital radius never drops below ground state. Naudts equations did show that at least one stable state could be explained relativistically but was orders of magnitude too high for the 137 fractional states implied by data from BLP and, more importantly, it established the relativistic link. Two years later Ron Bourgoin released a paper "Inverse Quantum Mechanics of the Hydrogen Atom" that showed the general wave equation predicts exactly the 137 inverse principal quantum states claimed by BLP using Warkowski 4D co-ordinates. Both Naudts and Bourgoin used equations normally reserved for photons and skeptics argued that 1/2 spin electrons cannot occupy the same space and state and that the fractional states would simply fall away if the appropriate Dirac equations were used! A 1996 paper "Cavity QED* " by Zofia Bialynicka-Birula addresses this with the destruction of isotropy inside a cavity and resulting effect on invariance under transformations of the Poincare group which I believe supports the equation selection by Naudts and Bourgoin and also establishes the relativistic nature of their solutions. I would state this as math performed from a relativistic perspective allows electrons to occupy what only appear to be the same spatial coordinates and states from an external perspective due to hydrogen populations at different acceleration rates but spatially near stationary, a back door way to extend the use of spin 1 equations when dealing with diverging inertial frames.

The frequent criticism regarding the stability of a fractional state hydrino is moot because the Hydrino doesn’t exist. “Relativistic” hydrogen is what Dr Mills mistook for fractional quantum states. Deiform et all proposed that the inside of a rigid Casimir cavity is a source of equivalent acceleration all the way back in 2002. So it is their calculated 10E-14 newtons of force which accumulates between the “more stationary” hydrogen atoms inside the cavity relative to the faster falling gravitational field outside the cavity (As Zofia stated the isotropy is broken by the Casimir cavity). This has the unlikely result of spatially confined hydrogen inside a cavity exhibiting Lorentz contraction and time dilation to an observer outside the plates without astronomical distances or deep gravitational wells. In fact it represents a gravitational "hill" due to depletion rather than the more familiar concentration effect of gravity "well".

A Casimir depletion zone drags behind the exterior gravitational field to produce a differential force opposite the direction of the external gravity field. The velocity attained by hydrogen atoms in this spatially confined field is concentrated on the time axis and result in the divergence of time co-ordinates in the Warkowski space-time system. Although the 10E-14 N force seems inconsequential it only reflects the opening of the temporal confinement which heat and gas law energy can now contribute to further diverge the frame on the time axis. I am interpreting the Casimir cavity as a depletion zone where the isotropy of the gravity field is broken and the restriction of longer wavelength vacuum fluctuations reduces the more gravitationally active flux below 2 THZ as proposed by Christian Beck and Michael Mackey. Their papers, "Measureability of vacuum fluctuations and dark energy" and "Electromagnetic dark energy" propose virtual photons with frequency less than 2 THz are more gravitationally active than those above. Their claims are presently only theoretical awaiting experimental evidence to prove slower virtual photons are more gravitationally active. I infer from their work the ratio of short to long vacuum flux increases with mass so the time dilation in a depletion zone is opposite to a gravity well meaning the hydrogen inside a relativistic cavity will speed up instead of slow down further increasing the rate of frame divergence. It seems to act very much like catalytic action and could be the underlying mechanism behind all the columbic barrier and oxidation surface theory presently used to describe a catalyst.

Locally inside the cavity hydrogen remains just hydrogen and the Bohr radius is never violated. The acceleration inside the Cavity is at a different relative angle to time which accumulates into time dilation and Lorentz contraction which, as previously mentioned, looks suspiciously like what we more commonly refer to as catalytic action. With the appropriate choice of rigid catalyst (Rayney nickel or Pd) this "catalytic action" can be leveraged into producing excess heat. The acceleration and attained velocity of relativistic H1 inside the cavity opposes the confinement of Pd or Rayney Nickel when it forms relativistic H2 and is immediately broken apart restoring monatomic energy levels. nonrelativistic H2 remains confined by the geometry of the cavity unless disassociated such as BLP's use of a tungsten filament in a reactor with their Rayney Nickel powder.


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 and becomes more spatially confined in opposition to the high velocity of the relativistic H2. relativistic H2 and normal H2 both resist mobility when the appropriate geometry rigid Casimir cavity is selected but the relativistic H2 however has already attained high velocity in opposition to this confinement. This opposition immediately tears apart the ionic or covalent bond of the compound and restores the atoms to monatomic energy levels still at significant velocity. These relativistic H1 atoms are free to repeat the procedure again and again while emitting photons to further heat the cavity and restore some of the lost "temporal" velocity while not even combusting the hydrogen, the energy is supplied by a gravitational difference creating a temporal vector that allows a trigonmetric exchange between space and time. The product is excess heat and very "old" hydrogen.. see animation

A patent US 7,379,286 B2awarded 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.