A point I may have been missing is that atoms may only have a local or an ad-hoc existence.
There is also a conservation theorem for the numbers of fermions. I need to consider that mathematical mechanism.
Pace, Gary..... Ideas are more like bosons than fermions.
Ok, the conservation of fermions is, evidently, a result of the Pauli exclusion principle, which is a purely relativistic effect. Does this relate to immaterialism?
Besides the Pauli principle, there is also mass-energy conservation, and this is also a relativistic effect.
With regard to the PEP, see the spin-statistics theorem, which has to do with space-time symmetry.
And from whence derives this space-time symmetry, we might ask?
IOW, does the conservation drive the symmetry, or symmetry drive the conservation? Yes, Emmy, we would like to know.
The conventional wisdom is that the symmetry comes first, but maybe not. The former is more akin to the Newtonian view of an absolute/primordial space and time.
And it should be noted that gravity appears to break the space-time symmetry, due to its long-range, unshielded effects.
9:15---------
It would seem, then, that gravity drives the direction of time. It creates the long-time entropy 'violations' of star formation. It is also an essential component of evolution, on the standard view, thereof.
And Emmy's theorem is the result of applying the least action principle to the (symmetric) action function of a system. Out of this also come the various conserved 'currents'.
It should be noted that the E&M field allegedly derives from similar symmetry considerations, although Paul Z, for one, has qualms about the local gauge invariance. I'm not recalling the nature of these concerns. Yes, connecting that symmetry with the specific field is more than a bit facile. Gauge theories in general do not sit well with Paul.
11:10-------
I note that a common setting for field theories is AdS/CFT, which is often compactified via a torus, e.g. a CTC.
The AdS/CFT correspondence was discovered by Maldecena in 1997.
Paul's problem with gauges may be connected with the equivalence principle vs. the Unruh effect.
http://wtdowell.com/Maldacena.htm ...
Theoretical physicists rarely achieve the status of rock stars, but Argentina's Juan Maldacena, 30, may be an exception. Last summer at a banquet for some of the world's leading theoreticians at Santa Barbara, California, a chorus energetically took up the tune of the Macarena with Maldacena as the focus of attention. The lyrics, admittedly understandable only to a select few, were a lighthearted testimony what most physicists see as a stunning achievement. "You start with the brane/and the brane is B.P.S/Then you go near the brane/And the space is A.D.S.3/ Who knows what it means?/I don't, I confess./Ehhhh! Maldacena!/Super Yang-Mills/With Very large N/Gravity on a sphere/Flux without end/ Who says they're the same?/Holographic, he contends./Ehhh Maldacena!"
1pm--------
I'm now watching https://m.youtube.com/watch?v=sYxWgjKwfLw , a talk by Shamit Kachru at Strings 2013. I have spoken many times of Monstrous moonshine, but here we have Mathieu moonshine.
And here is the paper...... http://arxiv.org/abs/1306.4981 .
What I have neglected wrt atoms is that, instead of atoms, I should be using string loops as my basic monads. I.e., the SWH/CTC should be built up from toroidal monads. Why didn't I think of this sooner? This also relates back to my cyclic phenomenology.... http://bestpossibleworld.com/index06.htm#Cycles . Even Descartes and Kant were warning us about this, with their vortices, not to mention the autocatalytic cycles of Eigen and Prigogine.
With toroidal monads, we can invoke the microcosm ...
Macrocosm and microcosm is an ancient Greek Neo-Platonic schema of seeing the same patterns reproduced in all levels of the cosmos, from the largest scale (macrocosm or universe-level) all the way down to the smallest scale (microcosm or sub-sub-atomic or even metaphysical-level). In the system the midpoint is Man, who summarizes the cosmos.
2:45-----------
I think we may be having a little breakthrough, in glancing at http://en.wikipedia.org/wiki/Central_charge .... does not the central charge/winding number relate to the cosmic cycles of the monad, with the number ~10^10.
3:30----------
I have spoken with Paul about these developments, and he will see if he can provide some backup.....
Paul is not at all partial to the obvious excesses of string theory. But we do agree that the moonshine aspects of it, as well as its continued popularity, well beyond any seeming physical relevance, may point to a deeper Jungian/archetypal dynamic, which is likely to have metaphysical implications, IMHO.
And, now, the double moonshine may also point to a more robust Pythagorean dynamic. We should expect some such psychic convergence to be a prime portent of a benign apocalypse, viz. Cor13.
For the record, let us note that a key link in the above chain was the Lobos Motl blog ... http://motls.blogspot.com/2013/06/strings-2013.html , Lubos often being a physics curmudgeon. He self-identifies as a Christian atheist. He is noted for his 'over-the-top' defense of string theory.
One might also recall Penrose' twistor theory, in these regards.
4:30-----------
Off the top, we might expect a connection between the 10^10 monadal windings and the large number coincidences (DLNH) ... http://en.wikipedia.org/wiki/Dirac_large_numbers_hypothesis .
The obvious question is how do we get from 10^10 to 10^40. Just a walk in the park?
Here is real rocket science.... 10^10^4 = 10^40. No kidding?
But while I attempted to type that, the iPad took me back to the CTMU slides, from my KC encounter with CL. Is there a message here? Are four-dimensions important?
It should be noted that the 10^10 factor appears in nature/biology/physics not infrequently.
5:30----------
Earlier today I found these slides very helpful...... http://www.phys.columbia.edu/~kabat/colloquium.pdf . This is from Dan Kabat at Columbia.
Now the question is how to get from the DLNH to a winding number that is also astronomical, if not biblical.
And don't miss ... http://www.phys.columbia.edu/~kabat/why_strings/why_strings.html .
And here we have the case for windings, W, >>1 ... http://arxiv.org/abs/1305.4695 in relation to the Kibble-Zurek mechanism (KZM).
The KZM has to do with topological defects in the early universe. Well, is the Monad a cosmic defect?? Yes, there is the O -> A 'defect' or gap.
6:40---------
How is the gap introduced into the cosmic torus? Taurus? Yes, actually, there is Friday in the weekly cycle. Friday is Freya, as I have pointed out on several previous occasions. Freya has the shape-shifting qualities of Hermes/Mercury/Trickster. It would be useful to relate the weeks to the zodiacal/cosmic cycles, as per Hamlet's Mill.
Shape-shifting in physics is often related to phase transitions, i.e. to long-range correlations, therein.
(cont.)
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