"Another story" —
See also Sontag's own account of the Mann meeting.
Related material —
It would seem that Moser is deeply confused about two different
meetings of Sontag with Mann — discussing Doctor Faustus
in 1947, and, later, as a U. of Chicago student, discussing
The Magic Mountain with Mann in 1949 on the Feast of the
Holy Innocents — coincidentally, also the date of her dies natalis
(in the Catholic sense) in 2004.
Excerpt from a long poem by Eliza Griswold —
The square array above does not contain Arfken's variant
labels for ρ1, ρ2, and ρ3, although those variant labels were
included in Arfken's 1985 square array and in Arfken's 1985
list of six anticommuting sets, copied at MathWorld as above.
The omission of variant labels prevents a revised list of the
six anticommuting sets from containing more distinct symbols
than there are matrices.
Revised list of anticommuting sets:
α1 α2 α3 ρ2 ρ3
γ1 γ2 γ3 ρ1 ρ3
δ1 δ2 δ3 ρ1 ρ2
α1 γ1 δ1 σ2 σ3
α2 γ2 δ2 σ1 σ3
α3 γ3 δ3 σ1 σ2 .
Context for the poem: Quark Rock.
Context for the physics: Dirac Matrices.
For a weblog post today on an auction item from
the collection of the late Pierre Le-Tan.
A search for information on Le-Tan reveals that his
dies natalis (in the Catholic sense) was Sept. 17, 2019.
See a poem quoted here on that date in posts tagged Quark Rock.
Geometry for Jews continues.
The conclusion of Solomon Golomb's
"Rubik's Cube and Quarks,"
American Scientist , May-June 1982 —
Related geometric meditation —
Archimedes at Hiroshima
in posts tagged Aitchison.
* As opposed to Solomon's Cube .
The title was suggested by a recent New Yorker poem.
Related material: The remarks of Mysterio in "Spider-Man: Far From Home."
(For Harlan Kane)
"Once Mr. Overbye identifies a story, he said, the work is
in putting it in terms people can understand. 'Metaphors
are very important to the way I write,' he said. The results
are vivid descriptions that surpass mere translation."
— Raillan Brooks in The New York Times on a Times
science writer, October 17, 2017. Also on that date —
"There is such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.
See as well The Black List (Log24, September 27).
"… Max Black, the Cornell philosopher, and others have pointed out
how 'perhaps every science must start with metaphor and end with
algebra, and perhaps without the metaphor there would never have
been any algebra' …."
— Max Black, Models and Metaphors, Cornell U. Press, 1962,
page 242, as quoted in Dramas, Fields, and Metaphors, by
Victor Witter Turner, Cornell U. Press, paperback, 1975, page 25
Metaphor —
Algebra —
|
The 16 Dirac matrices form six anticommuting sets of five matrices each (Arfken 1985, p. 214):
1.
2.
3.
4.
5.
6. SEE ALSO: Pauli Matrices REFERENCES: Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 211-217, 1985. Berestetskii, V. B.; Lifshitz, E. M.; and Pitaevskii, L. P. "Algebra of Dirac Matrices." §22 in Quantum Electrodynamics, 2nd ed. Oxford, England: Pergamon Press, pp. 80-84, 1982. Bethe, H. A. and Salpeter, E. Quantum Mechanics of One- and Two-Electron Atoms. New York: Plenum, pp. 47-48, 1977. Bjorken, J. D. and Drell, S. D. Relativistic Quantum Mechanics. New York: McGraw-Hill, 1964. Dirac, P. A. M. Principles of Quantum Mechanics, 4th ed. Oxford, England: Oxford University Press, 1982. Goldstein, H. Classical Mechanics, 2nd ed. Reading, MA: Addison-Wesley, p. 580, 1980. Good, R. H. Jr. "Properties of Dirac Matrices." Rev. Mod. Phys. 27, 187-211, 1955. Referenced on Wolfram|Alpha: Dirac Matrices CITE THIS AS: Weisstein, Eric W. "Dirac Matrices."
From MathWorld— A Wolfram Web Resource. |
Desiring the exhilarations of changes:
The motive for metaphor, shrinking from
The weight of primary noon,
The A B C of being,
The ruddy temper, the hammer
Of red and blue, the hard sound—
Steel against intimation—the sharp flash,
The vital, arrogant, fatal, dominant X.
"… objects have a notion of 'this' or 'self.' " — Wikipedia
For related notions, see other posts tagged Quark Rock and …
"Before time began, there was the Cube." — Optimus Prime
The above story's conclusion —
" … the current state of the art in quantum computing is still
not quite ready for solving anything but toy problems and
testing basic algorithms."
From "Annals of Square Space" (Log24, Sept. 3, 2019) —
" 'Before I go somewhere for a story, I have a certain understanding of
what form it will take, and when I get there, it’s always far, far more
complicated,' says the journalist and poet Eliza Griswold, over lunch
in Gramercy Park. 'They begin with a neat little bow' — she pantomimes
tying it, her wide blue eyes growing wider — 'and then: kaboom.' ”
— VOGUE Lives: Eliza Griswold, August 27, 2010, 9:10 AM,
by Megan O'Grady
"There is such a thing as a 4-set." — Saying adapted
from a 1962 young-adult novel.
Midrash — An image posted here on August 6 —
* A reference to a Harvard Crimson article from February 28, 1963.
Excerpt from a long poem by Eliza Griswold
in the current New Yorker —
"Elementary particles are the most fundamental building blocks
of nature, and their study would seem to be an expression of
simplification in its purest form. The essence of complexity
research, by contrast, is the emergence of new kinds of order
that are only manifest when systems are large and messy."
— Sean Carroll in an opinion piece that concludes as follows:
The above plug for Sean Carroll's book
The Big Picture : On the Origins of
Life, Meaning, and the Universe Itself suggests…
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