At 10:36 am 14/01/2006 -0800, Jones wrote:
> > -----Original Message-----


> Why do liquids, for instance, NOT have the minimum b-a tensile 
> strength? ... a possible analogy: the same reason that a sieve 
> swung through air has less resistance than a pot of the same size?
>
> Jones

You must be psychic Jones cos I have just realised that a whole
hierarchy of nets or sieves is the way to model the higher powers 
found in stuff like the three water vapours.

When one compresses a region of space, it's like squeezing the
sea with a net. One only catches fish bigger than the mesh size.
As one reduces the mesh size smaller and smaller creatures are 
captured and the bulk modulus increases drastically. If one had 
a completely impermeable piston and cylinder then space would
be incompressible. A case of the proverbial irresistible force
meeting the immovable object. These hierarchies of substances are
independent of each other and thus effectively constitute the 
metrics of independent spaces in much the same way as a series
off overlaid graph papers of different colours and different
gradations constitute a series of independent finite spaces.

The isothermal, adiabatic compressions provide a chink in the 
armour and the VP laws should get us well on the road. The 
very high powers of the clay water system should reveal how
asymmetry behaves. Once people cotton on to the hierarchical
techniques of looking for discontinuities to use as zeros for
the powers, they will start turning up everywhere. The beauty of
a hierarchical system is that, like a mathematical series, once
one can master the general term, one has mastered them all.

Frank












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