arivero
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Originally posted by marcus
http://arxiv.org/abs/quant-ph/980202
"Incerto tempore, incertisque loci":
Published in "Foundations of Physics" 28 (1998) 1031-1043
Actually, the main clue is the title itself. Sorry the pedantic mode, but as you can know, I like very much to overuse some classics.
With this quote, Rovelli refers to a late anarchist author, Titus Lucretius
corpora, quom deorsum rectum per inane feruntur
ponderibus propriis, incerto tempore ferme
incertisque locis spatio depellere paulum
tantum quod momem mutatum dicere possis
Er... did I say an-archist? Well it is true that Lucretius's book was used last December in a bomb sent from Bologna to Brussels EuroJustice department, and it is also true that the current translation to Spanish is due to an anarchist-biased philologist. But I probably mean to say a-tomist. Really, it is the only whole surviving text on ancient atomic theory, although it does not work out the mathematical issues.
Also Lee Smoolin chooses this word to title his divulgation article in Scientific American this January: Atoms of Geometry
Ancient atomic theory has two variants. A static one, devised to calculate volume of any figure, and a dynamical one, aimed to absorb the arguments of Zeno without requiring the limit procedure Newton uses. To this end, the world is considered to be a foam or lattice of vacuum separated by atoms, or a set of atoms separated by vacuum, and then a lost rule to refine the lattice. The only information contained in atoms is rhythm (?), contact and direction, so -I guess- they can not be divided because they do not carry, by themselves, spatial information. Duality is important to Democritus, and he uses a wordplay to remark it, calling sometimes "muth-on" and "on", say no-zing and zing, to vacuum and atoms respectively. Note that we have respected the nomenclature "-on" to name elementary particles.
LQG postulates a intriguing quantum of area, because it is not a solid chunk of space, but simply the fact that if you measure an area, the result will always be above this value. Just as in special relativity any measurement of speed is always below c.
Speaking of that, old atomic theory also tells that there is a maximum speed, anhyperbleton and that atoms should move freely at this speed but that a hidden cause, perhaps a sort of imperceptible interaction with vacuum or with other atoms, will ultimatelly cause the bouncing and scattering that let us to define matter. This imperceptible deviation, or clinamen, is the one alluded in the verses used by Rovelli
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