kurious said:
The casimir effect is calculated for two plates that have the same kind of spacetime
in the gap between them and on the outside of their surfaces.Is it reasonable to swap R for L when there are different kinds of spacetime on either side of the boundary at the horizon? Surely the authors should show that these spacetimes are equivalent in this case.
Yes!
This has been one of the reasons that I have been advocating 'Spacetime' only exists in and around Galaxies, the Space between Galaxies does not have a 3-D 'Spacetime', its 2-D Volume's.
All paramiters of Time extend only along 3-D space, our perception of '3-D' inside our Galaxy is based on us looking up and outwards, and expect all of Spacetime to be extended to our observational horizon, line of sight. From this we gauge the Quantum world from the bottom up, we have to look inwards to find Micro-quantities, so it is natural that we assume the outside Universe to be of Macro-Time Quantites.
The Space between Galaxies is actually a 2-D Field, just how this is Guaged to the Micro Quantum Field(sub-structure) that exists within a 3-D Spacetime of our Galaxy is where I see the problem. The Casimir plates are Man's nearest Dimensional Experimentation that produces the inter-dimensional exchange where an internal 2-D field is 'squeezed' out and around two fundamental 3-D locations (plates), this experiment is taking place within a 'Spacetime'.
For Galaxies the 'squeezing' is perceived as a contracting force of 2-d Fields around Galaxies (grip-halo), think of a sponge holding water, water exists within sponge. Put a dimensional reduced field around it and it naturally contracts, squeezing the water out onto the sponge surface.
From within the sponge the water is expanding away in all directions, and the structure of the sponge is Contracting.
One has to be careful with overtly speculative simplistic systems, just as one needs to treat with caution the overertly speculative complex systems such as string and brane theories,
Ok back to the casimir plate effect, the experimentors and detectors are within a 3-D space, they see the acclelerated light (Blue-Shifted) eminating from within the plates, now if you understand GR and SR you would know that observer dependence is based on the speed of light, but what you may not Understand is that this is based on a 3+1 spacetime frame, which means that the limit of the speed of light is constrained by the dimension it travels across, and for observers it is very important where one looks from!
One can define the scientific rigourous verification of SOL as being dimensionally bound to a 3+1 frame of reference, even a Vacuum Chamber sits within a Macro Spacetime, its here on Earth?.. experimentors pull out all 3-Dimensional Matter until there is nothing left inside, this produces fluctuations in the Vacuum, because we pull from one direction only, from a 3+1 spacetime-frame.
Light of Casimir Plates could be seen as blue-shifted because it has Decelerated from a 2-D field, and consequently 'gauged' as faster-than-light into a 3-D spacetime enviroment, or event-frame.