A Little "relativistic" rewriting below in preparation for drawing relationship between the derivative of equivalent acceleration in the form of Casimir force/mass of hydrogen on one side of equation, made equal to change in velocity on the other side of equation derived from time dilation formula - [Sort of like making XC=XL to solve for Fr], my premise being that A/d^4 in Casimir formula can be resolved into an array of equivalent acceleration values for every point inside a Casimir cavity. Like Peng Chen at Cornell discovered WRT nano tubes you need "change" in geometry to create catalytic action - therefore the irregularities in Casimir geometry and their frequency of deviations is what makes a good catalyst by rapidly varying this array of values. These rapid changes in equivalent acceleration are hard to notice from our perspective where the atoms appear to become slower, smaller, condensed or "fractional" but are very real from the local perspective of these atoms and any tiny observers inside the cavity because they are not really smaller - they see "our" time axis as space just like spatial acceleration at high fractions of C can change the angle between time and space for the twin paradox but there is no need for spatial displacement from our perspective and the time axis itself is intersecting at a different rates inside the cavity vs outside making any deviations inherently at 90 degrees instead of the more familiar Pythagorean relationship of the Gamma time dilation formula.
-------------- Casimir effect explains why 2 conductive but uncharged parallel plates are attracted together and it explains stiction forces that causes nano geometry devices to clump together frustrating research efforts to design mechanical devices at this scale. The present theory of Casimir effect is based on longer wavelength vacuum fluctuations which are physically too long to exist between the closely spaced Casimir plates. It is presumed the absence of longer wavelengths reduces the total energy density in this confined volume while outside the plates the energy density remains unchanged. It is this difference in energy density that exerts a pressure to close the plates together. it would at first appear that only shorter wavelengths inside the plates would explain this difference in energy density. [note on left the wavelength between the plates] A 2005 <http://arxiv.org/abs/physics/0507193v2> paper by Jan Naudts on relativistic hydrogen proposed that the "hydrino" with it's controversial sub zero ground state is actually " relativistic hydrogen". Naudts proposal leads quickly to a contradiction with the accepted theory of Casimir effect and requires a relativistic interpretation where the longer wavelengths, when confined between casimir plates are NOT eliminated, instead they stretch space time to fit themselves between the plates creating an "equivalently accelerated" inertial frame. In either version of the theory an observer outside the cavity observes only shorter wavelengths inside the cavity but in the relativistic interpretation an observer inside the cavity would still see the longer wavelengths but the plates at either end of the cavity would appear to shrink away into the distance always providing just enough room for the full length waveforms to reside no matter how small the spacing becomes. Although the term "relativistic hydrogen" initially imagines hydrogen at high spatial velocity such as hydrogen being ejected from the suns corona and Lorentzian contraction to explain the reduced orbital radius, Naudt's proposal for the hydrino inside of a skeletal catalyst only makes sense in terms of "equivalent acceleration". It is assumed Naudt's proposal applies equally to "fractional hydrogen", "deuterium ice" and other terms for condensed hydrogen associated with researchers claims of anomalous heat production. We propose that the REDUCED vacuum energy density caused by Casimir geometry should have a NEGATIVE equivalent acceleration associated with it because the INCREASED vacuum energy density caused by a stellar sized mass causes POSITIVE equivalent acceleration we experience as gravity. The relativistic interpretation for Casimir effect is supported because the increased energy density of a stellar mass is also known to slow time - which therefore predicts that the decreased energy density of Casimir geometry will accelerate time. This would cause the frequency of vacum fluctuations inside a Casimir cavity to appear "shorter"or " upshifted" to an observer outside the cavity such as sugested by a 1999 paper " Radiation Pressure <http://arxiv.org/PS_cache/quant-ph/pdf/9909/9909084v1.pdf> approach to Repulsive Casimir Force " by V. Hushwater. The relativistic interpertation for Casimir effect is further supported by A 1999 paper titled " <http://arxiv.org/ftp/physics/papers/9911/9911062.pdf> The Light Velocity Casimir Effect" by Tom Ostoma and Mike Trushyk where the measured velocity of light appears to increase due to Casimir geometry. [Quote from "The Light Velocity Casimir Effect"] Our review of the physics literature has not revealed any previous work on the time delay analysis of photon propagation through the ordinary quantum vacuum or any evidence to contradict our hypothesis of photon vacuum delay, presumably because of the precedent set by Einstein's postulate of light speed constancy. Suppose we can place a tiny observer A and his clocks and rulers (somehow) in between the Casimir plates. We would find for observer A that his measurement of the speed of light is the same as the conventional value! However for an observer B outside the plates in the laboratory frame, his measurement does show an increase in light velocity through the plates. Furthermore, the individual space and time measurements 'dlab' and 'tlab' made by observer B in the laboratory frame do not agree with the same measurements of 'dplate' and 'tplate' made by our tiny observer A inside the Casimir plates. The general relativists could argue that the 4D space-time inside the Casimir plates is altered compared to outside, and that the light velocity is still an absolute constant in all cases! This argument results because of the crucial importance of light propagation to the fundamental nature of space and time measurements, a theme that was first championed by Einstein. This same controversy rears it's ugly head in gravity where we are forced to choose between the two experimentally indistinguishable views; 4D curved space-time in general relativity and variable light velocity proposal of EMQG. It turns out to be impossible to distinguish between curved 4D space-time in gravitational frames, and variations in light velocity in gravitational frames experimentally [ End Quote] In a relativistic interpretation, Casimir Cavities like the 10 nm pores in the skeletal catalysts used by Black Light Power, the 100nm cavities proposed in the Haisch-Moddel prototype or the geometry formed between grains of nickel nano powders used by the Rossi e-cat are all used to REDUCE vacuum energy density. We know that energy density is the sum of all vacuum fluctuation wavelengths and that even in deep open space without mass there still remains an energy density background. These flux (aka virtual particles) aren't hanging around but rather are streaming through our spatial axis at a rate represented by energy density (what Puthoff calls pressure) and when they meet a conductive boundary in Casimir geometry it reduces their ability to stream. As it turns out this "streaming" rate can even be manipulated below zero to negative values! Now it doesn't matter if you accept my relativistic interpretation of Casimir theory where longer wavelengths only appear shorter inside an accelerated inertial frame due to the suppression or the standard fare that the longer wavelengths being displaced to lower the energy density, The point is that if the opening between Casimir boundaries is small enough you end up with a permanent stream between the higher energy density outside the boundary and lower densities in the interior. It isn't the different energy densities but rather the streams between these zones that represent a "negative pressure" less than the background levels that the Casimir boundaries are supressing and even less than zero, like the wind speed through a small hole in a sail it can be many times faster than even the ambient wind filling the sail. Suppression is much easier and more direct than time dilation and relativistic contraction caused by spatial acceleration where a particle must be accelerated to near luminal velocity before it can start to exhibit Lorentzian contraction in a Pythagorean relationship between its own velocity and C. IMHO Suppression of vacum energy density directly modifies the inertial frames inside the cavity in a "tail wagging the dog" sort of scenario such that Space-Time itself is forced to reshape (upshift) its own wavelengths to fit in the volume provided. This is perceived relativisticly by us outside the cavity as equivalent acceleration acting on any matter occupying the supressed volume and results in similar Lorentzian contraction and time dilation. The contraction however appears symetrical to us outside the cavity because the displacement is 90 degrees from our spatial axis on what we perceive as the time axis. The Calvet paper <http://www.journaloftheoretics.com/Articles/3-1/calvet-final.htm> also makes the case for this relativistic interpretation of Casimir effect. There is no need for near luminal velocity of the gas atoms on the spatial axis inside the cavity. There is no Pythagorean relationship needed to derive Gamma under these conditions because the cavity is directly manipulating the time axis experienced by gas atoms inside the cavity. Fran
