Log24

Saturday, November 16, 2019

Logic in the Spielfeld

Filed under: General — Tags: , — m759 @ 8:03 PM

"A great many other properties of  E-operators
have been found, which I have not space
to examine in detail."

— Sir Arthur EddingtonNew Pathways in Science ,
Cambridge University Press, 1935, page 271.

The following 4×4 space, from a post of Aug. 30, 2015,
may help:

The next time she visits an observatory, Emma Stone
may like to do a little dance to

'The Eddington Song'

Sunday, September 15, 2019

Changes Interlock

Filed under: General — m759 @ 12:07 PM

"Changes interlock…." — John Dewey

Indeed they do.

'The Eddington Song'

Friday, July 12, 2019

Instrumental

Filed under: General — Tags: — m759 @ 6:00 AM

The title is from a New York Times  correction in the previous post.

Introduction

'The Eddington Song'

Main Body

Piano roll for "I am sixteen going on seventeen" —

Medal of 9/15/06

Backstory:  Posts tagged Root Circle.

Monday, February 25, 2019

“Far from the shallow now”

Filed under: General,Geometry — Tags: , , , — m759 @ 12:06 AM

See posts tagged depth.

See as well Eddington Song and the previous post.

Saturday, January 26, 2019

In Memory of a Composer

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

who reportedly died early today in Paris, a tribute from
those who wrote the English lyrics for "Windmills of Your Mind" —

Legrand tribute related to 'Eddington Song'

Wednesday, January 23, 2019

Decorated

Filed under: General,Geometry — Tags: , — m759 @ 10:00 AM

For those who prefer more elaborate decorations —

1.  A Facebook image from last August … 

2.  The Facebook glider suggests a tune from "The Thomas Crown Affair"
     (1968) that appeared in a Dec. 16, 2018 post on Christianity and
     "interlocking names"—

'The Eddington Song'

The revised lyrics describe a square space.

3.  An even more  elaborate square space:
     the Dance of the Snowflakes from
     Balanchine's version of The Nutcracker —

Sunday, December 16, 2018

Interlocking

Filed under: General,Geometry — Tags: , — m759 @ 2:30 PM

http://m759.net/wordpress/?s=Eddington+Song

'The Eddington Song'

Wednesday, November 21, 2018

Opening Credits

Filed under: General,Geometry — Tags: — m759 @ 7:47 PM

From Log24 on Friday, Nov. 16

This evening's New York Times  on an opening-credits designer, 
Pablo Ferro, who reportedly died at 83 on Friday, Nov. 16 —

An example of Ferro's later work in film —

Musical accompaniment from Sunday morning —

'The Eddington Song'

Tuesday, November 20, 2018

Logos

Filed under: General,Geometry — Tags: — m759 @ 12:21 PM

(Continued)

Musical accompaniment from Sunday morning

'The Eddington Song'

Update of Nov. 21 —

The reader may contrast the above Squarespace.com logo
(a rather serpentine version of the acronym SS) with a simpler logo
for a square space (the Galois window ):

Sunday, November 18, 2018

Space Music

Filed under: General,Geometry — Tags: , , — m759 @ 9:27 AM

'The Eddington Song,' based on 'The Philosophy of Physical Science,' p. 141 (1939)

Update of Nov. 19 —

"Design is how it works." — Steve Jobs

See also www.cullinane.design.

Friday, November 20, 2015

Anticommuting Dirac Matrices as Skew Lines

Filed under: General,Geometry — Tags: , — m759 @ 11:45 PM

(Continued from November 13)

The work of Ron Shaw in this area, ca. 1994-1995, does not
display explicitly the correspondence between anticommutativity
in the set of Dirac matrices and skewness in a line complex of
PG(3,2), the projective 3-space over the 2-element Galois field.

Here is an explicit picture —

Anticommuting Dirac matrices as spreads of projective lines

References:  

Arfken, George B., Mathematical Methods for Physicists , Third Edition,
Academic Press, 1985, pages 213-214

Cullinane, Steven H., Notes on Groups and Geometry, 1978-1986

Shaw, Ron, "Finite Geometry, Dirac Groups, and the Table of
Real Clifford Algebras," undated article at ResearchGate.net

Update of November 23:

See my post of Nov. 23 on publications by E. M. Bruins
in 1949 and 1959 on Dirac matrices and line geometry,
and on another author who gives some historical background
going back to Eddington.

Some more-recent related material from the Slovak school of
finite geometry and quantum theory —

Saniga, 'Finite Projective Spaces, Geometric Spreads of Lines and Multi-Qubits,' excerpt

The matrices underlying the Saniga paper are those of Pauli, not
those of Dirac, but these two sorts of matrices are closely related.

Friday, November 15, 2019

Operators

Filed under: General — Tags: — m759 @ 2:40 PM

Easy E

 

Not So Easy:  E-Operators

"A great many other properties of  E-operators
have been found, which I have not space
to examine in detail."

Sir Arthur Eddington, New Pathways in Science ,
Cambridge University Press, 1935, page 271.
(This book also presents Eddington's unfortunate
speculations on the fine-structure constant.)

Saturday, August 24, 2019

For those who prefer Tell . . .

Filed under: General — m759 @ 12:20 PM

(The title refers to the previous post.)

"There is a house in New Orleans
Not the one you've heard about,
I'm talking about another house.
They spoke of gold in the cellar
That a Spanish gentleman had left…"

Song lyric by David Berman suggested by
his New Yorker  elegy

"Reddington and Vesco are watching the opera,
and the plan begins."

Monday, February 25, 2019

The Deep Six

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

". . . this notion of ‘depth’ is an elusive one
even for a mathematician who can recognize it. . . ."

— G. H. Hardy, A Mathematician's Apology

See Six-Set in this journal.

Sunday, February 24, 2019

Exceeding His Grasp

Filed under: General,Geometry — Tags: , , , — m759 @ 4:09 PM

See also Hudson Hawk in this  journal.

Saturday, January 26, 2019

Installasjon

Filed under: General,Geometry — Tags: , , — m759 @ 5:13 AM

'Josefine Lyche,' 'Interlock, Interlac, Interweave'

The above cryptic search result indicates that there may
soon be a new Norwegian art installation based on this page
of Eddington (via Log24) —

See also other posts tagged Kummerhenge.

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