The Hydrino as defined by Dr Randell Mills has a "real" fractional quantum state where the orbital is claimed to be smaller than the Bohr radius. Mills claim has been rejected by mainstream physics but an alternate theory by Jan Naudts was better received. Naudts proposed that hydrogen atoms inside a Casimir cavity could "appear" to have fractional states from a relativistic perspective outside the cavity. His paper, "On the hydrino state of the relativistic hydrogen atom" only solved for the case of a nuclear reaction many orders of magnitude higher than the controversial 137 fractional states claimed by Mills but established a relativistic loophole. Then, In 2007, Ron Bourgoin published "Inverse Quantum Mechanics of the Hydrogen Atom" that showed the general wave equation predicts exactly the 137 inverse principal quantum states indicated by Mills. In a related paper Bourgoin solved for orbital velocity as C/n where 1< n <137. The equations he used dictate this velocity is only apparent from a relativistic perspective outside the cavity and can only be applied to electrons when in different inertial frames. the orbital velocity remains unchanged locally inside the same inertial frame. The relativistic interpretation is based on "Cavity QED" by Zofia Bialynicka-Birula which proposes that Casimir cavities break gravitational isotropy. An abrupt equivalence boundary is formed by Casimir plates. The "displacement" of longer slower wavelength vacuum flux in between Casimir plates can be re-interpreted as a change in inertial frames simply making them appear faster or smaller. (see animation virtual particle vs. depiction changed wavelength). This puts a relativistic twist on the QED theory of "up conversion" of vacuum flux frequency due to Casimir effect.
The Mills device and the device proposed by Haisch and Model US Patent 7379286 - Quantum vacuum energy extraction both exploit the ability of Casimir cavities to segregate vacuum fluctuations by wavelength. Even the suppression of spontaneous emission of photons in a waveguide can be interpreted as relativistic by extension. I am proposing that every depletion zone such as a Casimir cavity is balanced by concentration zones. In the case of Casimir cavities this occurs naturally in the lattice of the cavity wall but this "segregation" of flux by wavelength can also be accomplished in a microwave waveguide. The suppression of spontaneous emission would require atomic interaction with "concentration" zones to slow time as opposed to "depletion” zones to accelerate time in a Casimir cavity. This theory also gives some plausibility to recent claims by Roger Shawyer of an EM drive based on relativity where microwaves are supplied into a sealed horn shaped microwave cavity to produce reactionless thrust. Shawyer maintains SR comes into play because the group velocity at either end of his horn are large fractions of the speed of light creating a tiny differential in radiation pressure which he claims can be multiplied by the Q of his microwave cavity. His microwave source and geometry may amount to a powered segregation of these depletion and concentration zones allowing us to "drive" vacuum fluctuations as opposed to being driven in a Casimir cavity.
I am proposing that Casimir force is actually the engine behind catalytic action. I don't accept that the Casimir geometry of the skeletal catalyst Rayney Nickel used by Black light power is just a coincidence. I believe that all catalytic action is based on Casimir geometry and that the Naudts relativistic solution for the hydrino applies to all catalytic action. Recently a team at Cornell University filled in an important blank by pinpointing unique sites where the reactions take place on SWCNTs the scientists showed that the reactions do not occur all along the tubes, but at the ends of the tubes or at defects along the tubes. I suggest this applies equally to all Casimir cavities in that catalytic action will only occur when the distance between plates change. Many of the diverse unexplained phenomena from excess heat to suppression of spontaneous emission can be interpreted as the relativistic manipulation of vacuum fluctuations. Catalysts cause an increase in the number of reactions per unit time while Casimir cavities are observed to have fewer long wavelength vacuum fluctuations in between their plates, If we assume Naudts proposal regarding a relativistic solution for the Hydrino is correct then both the increased number of reactions in a catalyst and fractional quantum states of hydrogen are actually relativistic and both effects are based on time dilation where the number of reactions and atomic radius are unchanged locally and only appear changed to an observer outside the catalyst-cavity. This solution based on depletion zones of long vacuum fluctuations inside a cavity also suggests suppression of spontaneous emission in a waveguide may be due to time dilation but based on "concentration" zones of longer wavelength vacuum fluctuations.
The Mills theory, Haisch-Moddel patent and my own theory are all quite similar in requiring monatomic gas into a narrow rigid cavity and then diverge in their explanation of the excess heat. I am convinced that Zottia's position in "Cavity QED" is correct, that the difference in vacuum fluctuations inside a cavity vs. outside a cavity creates a break in gravitational isotropy. The difference in gravitational acceleration causes "equivalent" velocity to accumulate between observers outside the cavity relative to hydrogen atoms inside the cavity. an appropriate choice of rigid skeletal catalyst or Casimir cavity will prevent H2 from gaining significant velocity or permeate into the narrowest plate spacing while H1accumulates unlimited velocity. When 2 of these "fast" H1 atoms form a "fast" compound or molecule such as "fast" H2 it emits a photon but the high velocity in sudden opposition to the confinement of the rigid cavity tears it apart and restores monatomic energy levels by reducing their velocity. These "fast" (relativistic) H1 atoms continue to accumulate velocity and are free to repeat the procedure over and over again while emitting photons that heat the cavity.
Recall the moving mirror/observer paradox
(ct’)^2 = (ct)^2+(vt’)^2
(ct’)^2 - (ct)^2 = (vt’)^2
t’^2 - t^2 = (vt’)^2 / c^2
t^2 = t’^2- (v^2 t’ ^2) / c^2
t^2 = t’^2 (1- v^2 / c^2)
1/(1- v^2 / c^2) =t’^2/t^2
1/(1-v^2/c^2)^1/2 = gamma

Both frames above are the same 2 mirrors onboard a spaceship but the right is being observed from the earth bound observer who sees the light taking the longer path between mirrors which are both moving relative to his position on earth. In the left frame light travels straight between the mirrors when observed from onboard the spaceship with no relative motion between mirrors and observer. Likewise 2 mirrors left on earth would be observed as straight by the local earth bound observer while the observer on the spacecraft would see the path as longer. The strange thing is that both local observers see the “remote” clock as running slower because from their perspective it is always the remote clock that is taking the “long diagonal” path between mirrors. The solution is in the math and the realization that the time dilation constant of proportionality, gamma, equals the ratio of remotely observed time between mirrors to locally observed time between mirrors. Both observers see the same delay which only equates to the absolute magnitude of the dilation and has no significance as to which clock is actually running faster or slower. It is only after the objects return to the same time frame that comparisons can solve for which clock was running faster or slower. We now know through thought experiments and confirming experimental data that the clock on board the more accelerated object runs slower than the less accelerated object but this is not visible to our observers and this leads to confusion when discussing time clock mirror examples in that very often people mix metaphors referring to the “solved” conditions while citing “observed” conditions resulting in conflicts. As shown in the mirror paradox, the “observed” remote vector between mirrors will always appear longer relative to the local path indicating only the absolute “magnitude” of the time dilation. The ratio of the remote time to the local time (Gamma) is called the time dilation constant. It is derived above for the general form using Pythagoreans theory and substitution. Gamma is an absolute value of the ratio and does not tell you which frame is moving faster or slower but if you know which object is more accelerated it allows us to calculate the time dilation. For any given number of time units on the faster object simply multiply by the ratio to get the number of time units experienced on the slower object.
The relativistic interpretation of the Hydrino as suggested by Jan Naudts would imply that the suppression of longer wavelength vacuum fluctuations between Casimir plates is not what current theory holds. Current theory says that longer vacuum fluctuations which do not fit as whole number wavelengths between the plates are suppressed allowing shorter wavelength fluctuations to replace them in a process QED calls "up-conversion". The relativistic interpretation is based on "Cavity QED" which relates Casimir force to gravitational acceleration where the plates represent an abrupt equivalence boundary which shields the cavity from the ambient gravitational field flowing around it. This "difference" in gravitational acceleration inside vs. outside is proportional to Casimir force and represents a small "equivalent" acceleration for the gas atoms diffused in the cavity relative to outside. The gas atoms inside and outside the cavity remain nearly stationary to each other spatially but the ambient gravity field outside is dissipated by the cavity walls creating a small differential in acceleration opposing or dragging behind the ambient. This has the unlikely effect of equivalent acceleration of stationary matter directly outside the cavity aging slower just like a spacecraft holding position in a deeper gravity well than an observer. Bourgoin calculates this as radial deceleration of electron orbitals to explain the hydrino but the relativistic interpretation would mean that the Bohr wavelength never gets shorter but rather appears shorter due to time dilation inside the cavity, as the Casimir plate spacing grows narrower the Casimir force increases and the wavelength appears smaller still. Since outside the cavity is a stronger g field the atoms inside the cavity are actually decelerating with respect to us and Gama is multiplied by proper time outside the cavity meaning the "fast" hydrogen inside the cavity is experiencing multiple seconds per seconds compared to outside the cavity very much in keeping with our current understanding of catalytic action..

The 1996 paper "Cavity QED* " “by Zofia Bialynicka-Birula proposed the destruction of isotropy inside a Casimir cavity has a resulting effect on invariance under transformations of the Poincare group. This allowed Ron Bourgoin to use equations for hydrogen orbitals normally restricted to photons which can coexist in the same state and physical location. The use of the Poincare group therefore dictates these equations only apply to environments where electrons can co-exist in the same spatial positions and states from the perspective of a stationary observer. The paper failed to emphasize the relativistic nature of the solution and Black Light Power wrongly assumed that his proof of the 137 fractional quantum states was real and not relativistic. The relativistic interpretation keeps electron and nucleus at an "equivalent" displacement via time dilation. Bourgoins' equations below solves for electron velocity as a simple relationship of n = v/c (v=nc) for example 1/137 *C = 2.18 E6 m/sec is minimum velocity and C is max

A little history, On August 12th 2009 Black Light Power 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 only the most recent report of excess heat between monatomic hydrogen and catalysts. 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.
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 but I am proposing a relativistic interpretation based on work by Jan Naudts, Ron Bourgoin and Zofia Bialynicka-Birula. From a relativistic perspective, "up conversion" can be accomplished by curving space time such that any waveforms existing in this zone obey the laws of relativistic observation. The remote clock always appears slower but less gravitationally active tells us the dilation direction will be opposite a gravity well and therefore hydrogen inside the cavity will be faster inside the cavity. Imagine a waveform on a scope twisting from center on the vertical axis while scrunching up so that it appears to be disappearing into the screen. This is what a relativistic solution proposes regarding "up -conversion" as the plate spacing narrows the vacuum fluctuations have a shorter spatial path so they change their temporal perspective in order to fit between the plates. They are not displaced and replaced by shorter waveforms, they are the same waveforms merely occurring inside curved space
A Casimir depletion zone drags behind the exterior gravitational field to produce a differential force opposite the direction of the external gravity field (DiFiore et all). I am proposing the radial velocity attained by monatomic hydrogen orbitals in this spatially confined field is relativistic. I am interpreting the Casimir cavity as a depletion zone where the isotropy of the gravity field is broken resulting in the twisting of longer wavelength vacuum fluctuations such that they appear shorter with a frequency now greater than 2 THZ from our perspective. This would make the fluctuations inside the cavity less gravitationally active as proposed by Christian Beck and Michael Mackey. Their papers "Measurability 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 that the ratio of short to long vacuum flux increases with accumulated mass dictating that 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 exponentially compounding the time dilation. The similarity to catalytic action is obvious and could be the underlying force that surface area, oxygen, and columbic barrier potentials are presently describing.
Locally inside the cavity hydrogen remains just hydrogen and the Bohr radius is never violated. The acceleration inside the Cavity causes space-time to curve which accumulates into time dilation which looks suspiciously like what we more commonly refer to as catalytic action. With the appropriate choice of rigid catalyst (Rainey nickel or Pd) this "catalytic action" can be leveraged into producing excess heat. The acceleration and attained velocity of relativistic H1 inside the cavity becomes confinement when it forms relativistic H2. The new "fast" molecule gives off a photon but then is immediately broken apart by the "confinement" certain rigid catalysts inflict on” fast" molecules. This reduces velocity but restores monatomic energy levels such that the atoms can now resume their "equivalent" acceleration provided by the shielding of the cavity plates. I propose the orbital velocity has a default vector in free space around 45 degrees to the time axis, As linear spatial acceleration approaches the speed of light at 0 degrees the orbital goes "flat" and time as measured on the time axis approaches zero, As space time is curved or scrunched up as inside a Casimir cavity the orbital approaches 90 degrees and occupies "less" space and appears to get smaller while getting faster from our perspective.

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).
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 Rainey 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 a nanotube only has 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 seem to require the Casimir effect to establish what "Cavity QED" calls a break in isotropy.
Jan Naudts (August 2005) “ On the hydrino state of relativistic hydrogen atom” http://arxiv.org/abs/physics/0507193v2
Bourgoin, Ronald C (2007). "INVERSE QUANTUM STATES OF HYDROGEN". The International Society for Condensed Matter Nuclear Science http://www.iscmns.org/asti06/Bourgoin%20RECIPROCAL%20QUANTUM%20STATES.pdf
Bernard Haisch and Garret Moddel patent US 7,379,286 B2 awarded May 27, 2008
http://www.patentstorm.us/patents/7379286/description.html
Comments
Where 's the hydrino?
November 2, 2009 by Anonymous, 3 weeks 16 hours ago
Comment id: 45909
Hi. First of all I'd like to say I'm not a scientist, merely someone interested and trying to (remotely) understand the mystery of the BLP. Forgive me for that.
Can I bluntly summarize the statement of this article from this quote?
"It allows a trigonmetric exchange between space and time where we age hydrogen in exchange for excess heat."
and this:
"I am proposing these so called fractional quantum states or hydrino states as defined by BLP are not real but rather relativistic"...
Can we conclude you propose that hydrinos in fact do not exist but that excess heat is being generated indeed by "stealing" energy from space and time?
So Mills'/Rowan university's experiments that show excess heat would indeed still be true (and thus still provide a possible energy source), but all other claims for using hydrinos as a byproduct would become a lie, since they don't exist?
harakiri
I hate to beat up on Mills
November 6, 2009 by froarty, 2 weeks 3 days ago
Comment id: 45918
Harakiri,
I hate to beat up on Mills because he did a hell of a job without the benefit of the paper Cavity QED (1996) he had to approach this solely from chemistry and the suggestions of Naudts and math of Bourgoin only recently became known in 2005 and 2007. I would love to simply redefine the hydrino but am told it is copyrighted and belongs to Mills. The differences between true fractional states and relativistic fractional states is not just the stability argument or I would simply hold my peace but it also reflects on the very interpretation of the Casimir effect which QED theory says displaces larger (longer wavelength) virtual particles in favor of small (shorter wavelength). The "relativistic interpretation" curves space time proportional to casimir force translating the "apparent" frequency and size of everything (including the virtual particles) existing in that space to an observer outside the cavity. This perspective changes the way one should approach optimizing the effect. I am hopeful that the Casimir effect could be electrically controlled by shorting the plates on a duty factor basis to prevent melt down. I suspect the "hydrides" that BLP claims to have recovered are evidence of the "melt down" when the fast H1 reacts with the catalyst material itself to finally "close" the Casimir "plates". I believe fast H1 and Fast H2 can oscillate between states due to differences in field confinement inside the cavity as long as the difference in acceleration builds velocity and the plates don't melt. The hydrino atom or molecule can't exist in our inertial frame and would need to be delivered in situ within a Casimir cavity. The potential uses may still exist if the application can accept the hydrino in situ.
I agree
November 2, 2009 by Anonymous, 3 weeks 11 hours ago
Comment id: 45917
I agree that you are not a scientist.
relativity solution also claimed for EM drive
November 12, 2009 by froarty, 1 week 3 days ago
Comment id: 46145
I support the claim by Jan Naudts that the controversial hydrino can be explained by relativity. Now Rodger Shawyer is suggesting his EM drive which is creating quite a stir in Europe and the UK is based on the same principle. He seems to be reversing the process associated with the hydrino using microwaves to bend spacetime instead of Casimir geometry to sum a small natural break in the isotropy. I have to admit there are a growing number of clues to make me consider this plausible. "cavity QED" in 1996 proposed broken isotropy in a Casimir cavity resulting in an abrupt equivalence boundary formed by the cavity walls. the shielded cavity "decelerates" relative to outside the walls possibly explaining catalytic action from a relativistic perspective where reactants actually occur at the "normal rate" from their own perspective. the Casimir cavity is spatially stationary but drags behind the gravitational field falling outside of it suggesting the accumulating velocity is relativistic. Microwave cavities like Puthoff used to explain suppression of spontaneous emission are also powered by microwaves but appears to "accelerate" orbitals diffused inside - Therefore the relativistic interpretation of suppression is that the atoms are time dilated and from their perspective the spontaneous emission also occurs at the "normal rate". Likewise Shawyers cavity is bending space time relative to outside the cavity and even if the chamber is evacuated bent space time has a different gravitational rate proportional to time dilation. My theory is that these forces always try to balance in an effort to restore isotropy for instance the depletion zone in a Casimir cavity would be balanced by a concentration zone of vacuum fluctuations in the nuclei of the cavity walls due to geometry. Shawyer does not need this trick to sum a depletion zone because he isn't looking to harvest a force -he uses a microwave source and wave guide geometry to forcibly break the isotropy -I am sure the balance between isolation and concentration zones is still maintained but his device appears to be repeatedly sweeping or effecting one type more than the other inside his device.