7 point
Video talk
Nima Arkani-Hamed talks in a little more depth about the new object. There is an associated arxiv post here: http://arxiv.org/pdf/1312.2007v1.pdf
Amplituhedron (part II)
Twistor particles with real spin.
PDF version : twistorspin.pdf
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Introduction on the origins of twistor theory by Professor Sir Roger Penrose1
and a public talk:
George Musser2 also writes about twistor/string theory as a useful continuation.
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The twistor particle programme published hitherto3 includes examples from 2 spin classes (fermion, boson): electron/neutrino/quark: spin 1/2 = 2-1 = 2i2 = 2eiπ and higgs/photon/gluon/graviton: spin 0, 20, 21. Yet the scope of available spin classes triangulated by Andrew Kels4 is Cardinal and spin is a measurable property in/of space-time (Martens & de Muynck5).
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Basically, shedding light on dark matter has great theoretical scope.
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Which, if any, of these unobserved-hitherto spinning, Kelsian realnesses will interest physicists for a while? Discussions with David Falconer6 and Phil Jones7 leads one to suggest the next, “totally tautological and qualitative” (Falconer, personal communication) real numbers beyond the standard model are given rationally (barring supersymmetry – Oooh, get me, girlfriend!) by the irrational, positive square-root of 2 = √2 = 21/2 = 22-1 and its reciprocal 1/√2 = 21/2/2 = 22-1/2
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Such objects (named rottons for their infinite precision) are distinct from both Weinstein spin 3/2 (e.g. M. du Sautoy8) and other generic trions9. Rottons appear from the projective nature of twistor geometry, if and only if this view from the back-wood-side-line-hill-sides isn’t just 2Fiat Lux
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A plane right triangle of unit height and base has hypoteneuse ± 21/2 = 22-1
Projected rotton spin values 21/2 (“boson-like”) and 21/2/2 (“fermion-like”, 2 identical copies, projected < or >, tangentiality over a 2-sphere of radius 21/2/2) follow holomorphism. Lisa Randall et al9 Double Disk Dark Matter emerges, naturally.
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Next, the plane right triangle of unit height and hypoteneuse 2 has base ± 31/2 = 32-1
Hey, prongo! 4-off rottons (3ons) with spin 31/2 (b-like), 2.31/2/3 (unlike), 31/2/2 (f-like) and 31/2/3 (unlike) project, again holomorphically. There exists a compound object which already displays one of these rotton spins in nature. The electrically neutral hydrogen atom has a total spin angular momentum identical11 with 31/2/2.
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The boson-like rotton 22-1 transforms into twistor space T as a flag-plane pointer on the unit Riemann sphere, but i don’t have the mathematical sophistication to describe mathematically “inside a Riemann sphere”. Paul Nylander12 and Frank Jones13, however, seem to have some of the necessary ideas and wit. Further and greater imagination than mine alone is required to project the insides of a stringy meatball, sausage-sectionally etc.
Measured physically? How, when and where?
Path integrals (QED-like Feynman diagrams) for such a boson include: 22-1 <-> 2 x [ 22-1 /2] and, as far as i can imagine, 22-1 -> 4 x spin 1/2 (e.g. 2 fermions and 2 antis).
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The unit pentagon yields 2 “Golden ratio” rottons, namely (1 + √5)/2 and |(1 – √5)/2|
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PhysOrg has a fine connection to fluid dynamics here: http://phys.org/news/2013-07-fluid-dynamics-mimic-quantum-mechanics.html
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References
1. Roger Penrose, 1987 : http://users.ox.ac.uk/~tweb/00001/
2. George Musser, 2010 : http://www.scientificamerican.com/article.cfm?id=simple-twist-of-fate
4. Andrew P. Kels, 2013 : http://arxiv.org/pdf/1302.3025.pdf
5. Hans Martens and Willem M. de Muynck, 1994 : http://www.phys.tue.nl/ktn/Wim/bohrfopl1.pdf
10. Double Disk Dark Matter : http://arxiv.org/pdf/1303.1521v1.pdf
12. Paul Nylander, 2005 : http://nylander.wordpress.com/2005/05/19/loxodromes-on-riemann-sphere/
13. Frank Jones, 2005 : http://www.owlnet.rice.edu/%7Efjones/loxo.html
opera+
Grey, blue, green eyes and heavens’ doors.
The following colourful characters and dialogos as throw-away libretto, maybe…
Fermion (Fred, ) treks widely across pearly opacity intercepting an sboson (sgrav, [s]) on mutually imagined paths of Penrose tile.
Action is minimal and perturbations few and far betwixt.
Finally, for now, here’s a picture of my 1st orchid flower of this year – probably northern marsh but could be an early purple.
l8r 🙂
New Project: Join the Search for ‘Space Warps’
new project on warped passages
Gravitational lenses – or ‘space warps’ – are created when massive galaxies cause light to bend around them such that they act rather like giant lenses in space. By looking through data that has never been seen by human eyes, our new Space Warps project is asking citizen scientists to help discover some of these incredibly rare objects. We need your help to spot these chance-alignments of galaxies in a huge survey of the night sky. To take part visit www.spacewarps.org.
Gravitational lenses help us to answer all kinds of questions about galaxies, including how many very low mass stars such as brown dwarfs – which aren’t bright enough to detect directly in many observations – are lurking in distant galaxies. The Zooniverse has always been about connecting people with the biggest questions and now, with Space Warps, we’re taking our first trip to the early Universe. We’re…
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traffixd
Adopt SI units of measure and the UK motorway limit better than doubles. 🙂
70 m/s (SI) ~ 157 mph (Imperial) and pro rata.
e.g. 30 m/s ~ 67 mph and the population evolves by means of natural selection, bar penalties.
No road signs changed and in-car display costs are low. Total implementation costs are near null.
view of the 3-mile-high mountain in the middle of Mars’ Gale crater #MSL
view of the 3-mile-high mountain in the middle of Mars’ Gale crater #MSL
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