Wednesday, June 5, 2024
Thursday, April 21, 2022
Change Arises Continues
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Friday, December 25, 2020
Change Arises: Mathematical Examples
From old posts tagged Change Arises —
|
From Christmas 2005:
For the eightfold cube
For an rather more
Click on image for details. |
The phrase "change arises" is from Arkani-Hamed in 2013, describing
calculations in physics related to properties of the positive Grassmannian —
A related recent illustration from Quanta Magazine —
The above illustration of seven cells is not unrelated to
the eightfold-cube model of the seven projective points in
the Fano plane.
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Thursday, December 24, 2020
Change Arises: A Literary Example
The “Change Arises” part of the title refers to the previous post.
The 1905 “geometric object” there, a 4×4 square, appeared earlier,
in 1869, in a paper by Camille Jordan. For that paper, and the
“literary example” of the title, see “Ici vient M. Jordan .”
This post was suggested by the appearance of Jordan in today’s
memorial post for Peter M. Neumann by Peter J. Cameron.
Related remarks on Jordan and “geometrical objects” from 2016 —
These reflections are available from their author as a postprint.
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Change Arises
See posts so tagged.
"Change arises from the structure of the object." — Arkani-Hamed
Related material from 1936 —
Related material from 1905, with the "object" a 4×4 array —
Related material from 1976, with the "object"
a 4×6 array — See Curtis.
Related material from 2018, with the "object"
a cuboctahedron — See Aitchison.
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Monday, December 1, 2014
Change Arises
Flashback to St. Andrew's Day, 2013 —
Saturday, November 30, 2013
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If the object is a cube, change arises from the fact
that the object has six faces…
and is the unit cell for the six -dimensional
hyperspace H over the two-element field —
A different representation of the unit cell of
the hyperspace H (and of the I Ching ) —
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Thursday, April 10, 2014
Change Arises (continued)
In memory of Lucia Eames, who reportedly died
on April 1, 2014:
“… Walter Gropius was her professor ….”
See also in this journal Gropius and the April 1 posts.
Related material: “As a little child.”
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Wednesday, April 2, 2014
Change Arises
For a different view of change arising, click on the tag above.
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Saturday, June 8, 2024
Paradigms of Geometry
The "Change Arises" phrase in the previous post suggests a sort of
architectural plan and elevation for the structure of the I Ching —
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Friday, June 7, 2024
The Seventh Square (Revisited)
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Saturday, January 9, 2021
A Sense
“In a sense, we would see that change arises from
the structure of the object.”
— Nima Arkani-Hamed, quoted in
“A Jewel at the Heart of Quantum Physics,”
by Natalie Wolchover, Quanta Magazine , Sept. 17, 2013.
For those who prefer less barbaric entertainment —
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Friday, January 8, 2021
Groups Act
"Somehow, a message had been lost on me. Groups act .
The elements of a group do not have to just sit there,
abstract and implacable; they can do things, they can
'produce changes.' In particular, groups arise
naturally as the symmetries of a set with structure."
— Thomas W. Tucker, review of Lyndon's Groups and Geometry
in The American Mathematical Monthly , Vol. 94, No. 4
(April 1987), pp. 392-394.
"The concept of group actions is very useful in the study of
isomorphisms of combinatorial structures."
— Olli Pottonen, "Classification of Steiner Quadruple Systems"
(Master's thesis, Helsinki, 2005, p. 48).
“In a sense, we would see that change arises from
the structure of the object.”
— Nima Arkani-Hamed, quoted in "A Jewel at the Heart of
Quantum Physics," by Natalie Wolchover, Quanta Magazine ,
Sept. 17, 2013.
See as well "Change Arises" in this journal.
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Monday, December 28, 2020
Theology for the Wiener Kreis
The previous post suggests a look at The New Yorker today —
Another “core claim” —
“Change arises from the structure of the object.“
See also Wiener Kreis and Schlick.
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Tuesday, May 14, 2019
Change
"Is there no change of death in paradise?" — Wallace Stevens
From a New Yorker book review dated May 13 —
"In 'Field Flowers,' Glück’s flower scoffs that 'absence of change'
is humanity’s 'poor idea of heaven.' But the religious believer
might object that Hägglund’s idea of eternity is equally poor."
Here James Wood is reviewing Martin Hägglund’s
This Life: Secular Faith and Spiritual Freedom
(Pantheon, March 5, 2019).
See also posts tagged Change Arises in this journal.
Hägglund himself appeared here on June 21, 2014.
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Friday, April 11, 2014
Change Descends (continued)
Tom Cruise at the Vatican in MI3
Other descents of change:
Sacred Space and Cube Descending.
Context— Last night’s post Change Arises,
on Walter Gropius, Wolfe’s “Silver Prince.”
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