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Re: Is physical space three dimensional? Mathematical perspectives...
Posted:
Feb 4, 2013 10:04 PM


get rid of the lightconeheads; use quaternions, where "t is the real, scalar parameter; thank you."
> of quaternions, or "the firstget vector mechanics, > wherefrom we get *all* of the lingo thereof."
thus: thus increasing the concentration of iron, decreases the bioavailablity of all of the other traceelements; we cannot be sure that all 92 of them are not ultimately required, although most of them are known to be so, viz molydenum, vanadium etc. etc. for animal nutrition; read a dogfood label & create a recipe!
> >There's no reason not to increase the size of the tests.
> If it was done in measured amounts > and increases the edible fish population,
thus: the Copenhagenskoolers have merely "reified" the math of the mere probablities, which are no different in effect than they are for flipping a coin; til you actually look at the result, it might be funny. and, if you try to look at anything that is "not on your scale," either interatomic or intergalactic, you will find odd, "quantized" behaviors that are amenable to "QM" ... as well as to a modicum of good sense.
thus quoth: observation/measurement) forcing change on the electron's position or momentum. I've heard the phenomenon explained in this way many times, with the unexplained caveat that this implies a fundamental randomness to the universe, rather than just the nature of trying to observe it.
thus: the speed of lightwaves' propogation is dependent solely upon the index of refraction of the medum, which is relaed to its a) composition and b) density; not the *sotto voce* velocity of some urnewtonian corpuscles, already setup to violate Snell's law (of refraction) by Sir Isaac.
that was really dumb.
> basically, he's hidebound by certain things he's learned in the past > (like momentum = m*v) and won't let them go.
thus: typically obfuscating nondimensional analysis, you twosome. space is clearly threedimensional for several applications (surveying & navigation e.g.), and it is clearly "more complicated that that," for both interatomic & intergalactic processes, hence the enormous efficacy of stringtheory for appreciating the many "quantized" phenomena, beginning with the Kaluza theory.
however, the "compactification to a string" of Klein may not be necessary; it is simply an abstuse mathspeak; it may not be "hidden variables," but there are "hidden dimensionalities" or spaces, at least in a formal sense.
it is not that Kaluza was wrong, it's just that noone knew how to treat of such dimensionality, other than through phasespaces (like Hamiltonians and Lagrangians)  with the notable exception of quaternions, or "the firstget vector mechanics, wherefrom we get *all* of the lingo thereof."
> > Th. Kaluza agreed with Einstein and in 1921 tried > > to explain SRT using 5D space.



