Log24

Thursday, April 21, 2022

Change Arises  Continues

Filed under: General — Tags: — m759 @ 3:26 pm

(See Change Arises in this journal.)

See as well Log24 posts now tagged Dec. 16-18, 2013.

Friday, December 25, 2020

Change Arises: Mathematical Examples

Filed under: General — Tags: , , — m759 @ 12:59 am

From old posts tagged Change Arises

From Christmas 2005:

The Eightfold Cube: The Beauty of Klein's Simple Group
Click on image for details.

For the eightfold cube
as it relates to Klein’s
simple group, see
A Reflection Group
of Order 168
.”

For an rather more
complicated theory of
Klein’s simple group, see

Cover of 'The Eightfold Way: The Beauty of Klein's Quartic Curve'

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.

Thursday, December 24, 2020

Change Arises: A Literary Example

Filed under: General — Tags: , — m759 @ 12:12 pm

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.

Change Arises

Filed under: General — Tags: , — m759 @ 1:44 am

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.

Monday, December 1, 2014

Change Arises

Filed under: General,Geometry — Tags: — m759 @ 11:00 am

Flashback to St. Andrew's Day, 2013 —

Saturday, November 30, 2013

Waiting for Ogdoad

Filed under: Uncategorized — Tags:  — m759 @ 10:30 AM 

Continued from October 30 (Devil's Night), 2013.

“In a sense, we would see that change
arises from the structure of the object.”

— Theoretical physicist quoted in a
Simons Foundation article of Sept. 17, 2013

This suggests a review of mathematics and the
"Classic of Change ," the I Ching .

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 —

Spaces as Hypercubes

A different representation of the unit cell of
the hyperspace H (and of the I Ching ) —

Thursday, April 10, 2014

Change Arises (continued)

Filed under: General — m759 @ 11:00 pm

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.”

Wednesday, April 2, 2014

Change Arises

Filed under: General — Tags: , — m759 @ 9:00 am

IMAGE- Search for the source of the quotation 'Change arises from the structure of the object'

For a different view of change arising, click on the tag above.

Saturday, January 9, 2021

A Sense

Filed under: General — Tags: — m759 @ 11:00 am

“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 —

Friday, January 8, 2021

Groups Act

Filed under: General — Tags: — m759 @ 2:08 pm

“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.

Monday, December 28, 2020

Theology for the Wiener Kreis

Filed under: General — m759 @ 11:00 pm

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.

Tuesday, May 14, 2019

Change

Filed under: General — Tags: — m759 @ 10:02 pm

"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.

Friday, April 11, 2014

Change Descends (continued)

Filed under: General — m759 @ 10:16 am

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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