Normally you think of objects approaching near luminal velocities as being relativistic, but lower velocity objects that are only a small fraction of C such as an orbiting GPS satelite will also accumulate small time dilations and have to be slightly updated a few times a year. The interesting thing here is that you also have some relativistic correction needed for equivalent acceleration - Not the spatial velocity of the orbit but rather the difference in equivalent acceleration between an observer on the earth who feels 9.8 meters per second^2 vs. the satellite that feels zero gravity. The gravitational force we feel here on earth is in a different inertial frame relative to the synchronous satellite orbiting miles above us despite being stationary relative to each other. The orbital velocity keeps the smaller mass from falling toward the larger mass but even without any orbital velocity the smaller mass would be in different inertial frames as it falls toward the larger mass until it matches equivalent acceleration by crashing into the larger mass - this difference in equivalent acceleration is an almost negligible fraction of C but it continues to constantly accumulate between different inertial frames- taken to extreme the spaceship caught in the equivalent acceleration of a black hole expereinces the same time dilation as the spatially accelerated spaceship in the twin paradox. It is this latter "type" of " relativistic effect due to "equivalent acceleration" that I am discussing below regarding Casimir effect and relativistic hydrogen. Just as time dilation can occur in a gravity well on the macro scale I am positing that Casimir geometry performs an even more intriguing manipulation at the nano scale... Like the macro model of a gravity well being proportional to mass the Casimir geometry also tries to form a gravity well BUT at a very local scale and at a more accelerated rate it is shaped instead by geometry and suppression of vacuum fluctuation. Casimir plates suppress energy density in the cavity between the plates because longer wavelength fluctuations cannot fit between the plates in the normal way, the suppression also amplifies the ability of the exterior plates to accumulate gravity faster than normal mass - this force is very localized and falls off according to the normal square law gradient outside the plates but my posit is that something quite different happens inside the plates. The plates are like wind filled sails with a small hole (cavity) in them where the pressure from the sails can be released at many times the ambient velocity. The exterior plates of Casimir geometry cause equivalent acceleration similar to normal mass but any small holes in the plate surface leading to the cavity between the plates utilize this accumulated reservoir to form a venturi where the force equalizes at many times the ambient levels like the wind whistling through a sail - resulting in "EQUIVALENT DECELERATION" where the energy density can be less than the ambient of open space in the same way the wind whistling through a sail can be many times faster than the ambient levels filling the sails. We outside the cavity in effect become the near luminal twin relative to the decelerated hydrogen inside the cavity (or negatively accelerated hydrogen if we intuitively use zero gravity as the reference). The Casimir material creates this differential in equivalent acceleration by shielding or suppressing the ambient energy density. This difference in energy density would be difficult to couple directionally but making a conjecture based on the presence of atomic gases in most of the anomalous heat energy claims I suggest an asymmetry in translation between different inertial frames caused by changes in Casimir geometry. My posit is that the atomic gas translates between different "equivalent" inertial frames freely while molecular gas is somewhat opposed - if the molecule is heated to a point less than disassociation this opposition can discount the energy needed to disassociate the molecule. The opposition would also oppose further migration to different inertial states but the gas flow through a cavity is similar to pressing a drill into a piece of wood while nature contributes the equivalent of drilling action in the form of gas law - the random motion of gas based on HUP... based on the chaotic sea of vacuum fluctuations keeps these gas atoms in motion regardless of opposition. The frequent appearance of pulsed operation in the energy schemes associated with these claims would also seem to make sense. The random motion of the molecules would still allow the atomic gas to displace the molecules being opposed to change in geometry and allow the atomic gas to form a protective film over the molecular gas but by pulsing the gas we interfere with this natural tendency and keep more of the molecules in opposition to their geometry - If this discounts the energy needed to disassociate the molecule below the energy released when the molecule formed you have runaway conditions.
