I was provided with a link to Einsteins View (http://www.tu-harburg.de/rzt/rzt/it/Ether.html) on the compatibility of an aether with relativity on another site. It has made me think a bit further on the nature of the proposed aether. Einstein says that for the aether to be consistent with Relativity it can not be thought of as existing of individual particles in relation to which motion can be measured. But then how can it have the needed properties for electromagnetic radiation and gravity to exist? Logic dictates that everything is infinitely devisable, for when you choose to stop dividing after any number of divisions you could still in principle divide to yet another level. So if you take it to the limit (pun intended) mathematically, you will be left with a particle with dimensions that tend toward zero.

The seperation between these particles would also tend towards zero, but slight variations in these seperations would allow for any kind of 3D dynamics on the makro scale.

The question is: How would the fluid dynamics of these particles (strings maybe :?: ) be affected when the particles and seperations are on a sub Planck length scale?

"Logic dictates that everything is infinitely devisable, for when you choose to stop dividing after any number of divisions you could still in principle divide to yet another level."

No, it doesn't. Quantum uncertainty, string theory, and loop quantum gravity would all disagree to name but a few.

Ok. Maybe not everything. If you keep on cutting something into pieces you'll eventually end up with fundamental particles, which, as far as we know are not devisable (maybe string though). Someone on another forum directed me towards the fact that this premise of mine has the essence of Zeno's_paradoxes (http://en.wikipedia.org/wiki/Zeno's_paradoxes) at heart. As a purely mathematical/philosophical consideration it certainly does hold water. The invention of Calculus has provided a means to circumvent the paradox, but it has not gone away fully. The hypothetical particle system I am investigating here does not need any kind of proof for it to be logically consistent. So whether these "particles" are strings or something else, I am intersted in how one could model their interactions. For my hypothetical to work the medium would have to mostly behave like a superfluid.

I think Zeno's paradox is resolved because 'infinity' is a concept not relevant to reality. Sure it is necessary and convenient in math, but I do not think an actual infinite set exists.

So anyway, I'd say talking about particles at a sub-Planck scale is nonsensical. With quantum uncertainty we could never measure anything at such a scale and therefore never know anything about it. We could never determine the fluid dynamics.

Why do the particles have to be sub-Planck? What about an aether in a superfluid like state at the Planck scale?

Why do the particles have to be sub-Planck? What about an aether in a superfluid like state at the Planck scale?Well, because I want to satisfy Einsteins requirements for an aether to be compatible with SR, which is that it can not be thought of as existing of individual particles in relation to which motion can be measured. A primary reference frame if you will. So a way to circumvent this requirement, I thought, was if the particles in question were sub Planck-lengthed. As you say, trying to consider them in relation to anything on the macro scale becomes meaningless. So in that way it can become a truely continuous medium.