Wednesday, March 13, 2024
Wednesday, March 8, 2017
Inscapes
"The particulars of attention,
whether subjective or objective,
are unshackled through form,
and offered as a relational matrix …."
— Kent Johnson in a 1993 essay
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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. |
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Tuesday, October 3, 2023
Babes in Tweeland
The New Yorker yesterday on a film director —
"Lest viewers become even briefly comfortable with
the enchantments of his staging and of his actors’
performances, Anderson jolts them alert with
ever more audacious contrivances."
"As you can see, we've had our eye on you
for some time now, Mr. Anderson."
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Thursday, October 21, 2021
SIX — The Musical!
From an Instagram post today:
As for SIX — the non-musical —
For further details, see Lost in the Matrix.
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Tuesday, March 30, 2021
Focus
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Friday, November 8, 2019
Glitch
The terms glitch and cross-carrier in the previous post
suggest a review —
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For some backstory, see Glitch, Gerard Manley Hopkins, Inscape —
particularly the post A Balliol Star.
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Monday, July 29, 2019
Tuesday, February 26, 2019
Annals of Philology
"What kind of person bokehs an inscape?"
— Question adapted from the weblog Barefooted Philologists
An illustration (click to enlarge) —
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Tuesday, July 3, 2018
Lost in Quantum Space
Combining concepts from earlier posts today, we have the above title.
A more concise alternative title …
Lost in the Matrix
For some related non -fiction, see posts tagged Dirac and Geometry.
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Wednesday, June 20, 2018
Feature
"… what we’re witnessing is not a glitch. It’s a feature…."
— A Boston Globe columnist on June 19.
An image from this journal at the beginning of Bloomsday 2018 —
An encountered feature , from the midnight beginning of June 16 —
Literary Symbolism
"… what we’re witnessing is not a glitch. It’s a feature…."
The glitch encountered on Bloomsday by Agent Smith (who represents
the academic world) is the author of the above page, John P. Anderson.
The feature is the book that Anderson quotes, James Joyce
by Richard Ellmann (first published in 1959, revised in 1982).
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Saturday, June 16, 2018
Kummer’s (16, 6) (on 6/16)
"The hint half guessed, the gift half understood, is Incarnation."
— T. S. Eliot in Four Quartets
See too "The Ruler of Reality" in this journal.
Related material —
A more esoteric artifact: The Kummer 166 Configuration . . .
An array of Göpel tetrads appears in the background below.
"As you can see, we've had our eye on you
for some time now, Mr. Anderson."
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Tuesday, October 3, 2017
Show Us Your Wall
From Monday morning's post Advanced Study —
"Mathematical research currently relies on
a complex system of mutual trust
based on reputations."
— The late Vladimir Voevodsky,
Institute for Advanced Study, Princeton,
The Institute Letter , Summer 2014, p. 8
Related news from today's online New York Times —
A heading from the above screenshot: "SHOW US YOUR WALL."
This suggests a review of a concept from Galois geometry —
(On the wall — a Galois-geometry inscape .)
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Thursday, September 28, 2017
Core
From the New York Times Wire last night —
"Mr. Hefner … styled himself as an emblem
of the sexual revolution."
From a Log24 post on September 23 —
A different emblem related to other remarks in the above Sept. 23 post —
(On the wall — a Galois-geometry inscape .)
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Tuesday, June 6, 2017
The Table
John Horgan and James (Jim) McClellan, according to Horgan
in Scientific American on June 1, 2017 —
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Me: "Jim, you're a scholar! Professor! Esteemed historian of science! And yet you don’t really believe science is capable of producing truth." Jim: "Science is stories we tell about nature. And some stories are better than other stories. And you can compare stories to each other on all kinds of grounds, but you have no access to"— he pauses for dramatic effect— "The Truth. Or any mode of knowing outside of your own story-telling capabilities, which include rationality, experiment, explanatory scope and the whole thing. I would love to have some means of making knowledge about the world that would allow us to say, 'This is really it. There really are goddamn electrons.'" He whacks the table. |
See also posts tagged Dirac and Geometry and Glitch.
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