A Tangled Tale
Proposed task for a quantum computer:
"Using Twistor Theory to determine the plotline of Bob Dylan's 'Tangled up in Blue'"
One approach to a solution:
"In this scheme the structure of spacetime is intrinsically quantum mechanical…. We shall demonstrate that the breaking of symmetry in a QST [quantum space-time] is intimately linked to the notion of quantum entanglement."
— "Theory of Quantum Space-Time," by Dorje C. Brody and Lane P. Hughston, Royal Society of London Proceedings Series A, Vol. 461, Issue 2061, August 2005, pp. 2679-2699
(See also The Klein Correspondence, Penrose Space-Time, and a Finite Model.)
For some less technical examples of broken symmetries, see yesterday's entry, "Alphabet vs. Goddess."
That entry displays a painting in 16 parts by Kimberly Brooks (daughter of Leonard Shlain– author of The Alphabet Versus the Goddess— and wife of comedian Albert Brooks (real name: Albert Einstein)). Kimberly Brooks is shown below with another of her paintings, titled "Blue."
Click image to enlarge.
"She was workin' in a topless place
And I stopped in for a beer,
I just kept lookin' at the side of her face
In the spotlight so clear.
And later on as the crowd thinned out
I's just about to do the same,
She was standing there in back of my chair
Said to me, 'Don't I know your name?'
I muttered somethin' underneath my breath,
She studied the lines on my face.
I must admit I felt a little uneasy
When she bent down to tie the laces of my shoe,
Tangled up in blue."
-- Bob Dylan
Further entanglement with blue:
The website of the Los Angeles Police Department, designed by Kimberly Brooks's firm, Lightray Productions.
Further entanglement with shoelaces:
"Entanglement can be transmitted through chains of cause and effect– and if you speak, and another hears, that too is cause and effect. When you say 'My shoelaces are untied' over a cellphone, you're sharing your entanglement with your shoelaces with a friend."
— "What is Evidence?," by Eliezer Yudkowsky