There are additional dimensions

'String theory predicts the existence of more than the three space dimensions and one time dimension we are all familiar with. According to string theory, there are additional dimensions that we are unfamiliar with because they are curled up into complicated shapes that can only be seen on tiny scales' - caption for computer generated images of grid of Calabi-Yau shapes of higher dimensions from string theory. The images by computer illustrator Jeff Bryant , one of which is seen above, are part of the Beyond Measure - Conversations Across Art and Science at Kettle's Yard in Cambridge until June 1. The exhibits also include a score by the composer Guillermo Gregorio. Get there if you can.

There's eye-music here.
Image credit Jeff Bryant. Any copyrighted material on these pages is included as "fair use", for the purpose of study, review or critical analysis only, and will be removed at the request of copyright owner(s). Report broken links, missing images and errors to - overgrownpath at hotmail dot co dot uk

Comments

Pliable said…
The catalogue for Beyond Measure is also recommended. A bargain at £6.95 plus shipping -

http://www.kettlesyard.co.uk/publications/catalogues/index.html
10:55 pm
A.C. Douglas said…
'String theory predicts the existence of more than the three space dimensions and one time dimension we are all familiar with. According to string theory, there are additional dimensions that we are unfamiliar with because they are curled up into complicated shapes that can only be seen on tiny scales'

It would be just dandy if string theory merely predicted those extra dimensions. The problem is that string theory depends on those extra dimensions (a total of 11 at last count) for its very existence. Absent those extra dimensions, string theory collapses as a viable theory of anything, much less everything.

ACD
12:14 am
Pliable said…
Email received:

Hi, I enjoy your blog. Your post on string theory made me wonder whether you've bumped into the connection between higher dimensional geometry and music, but there are some interesting connections.

http://cosmiclog.msnbc.msn.com/archive/2006/07/07/950.aspx

http://www.time.com/time/magazine/article/0,9171,1582330,00.html

Am actually writing about one of the "On an Overgrown Path" pieces, which makes a very interesting use of scales ...

Dmitri Tymoczko
Assistant Professor of Music
Princeton
http://music.princeton.edu/~dmitri
5:12 am
Post a Comment

Recent popular posts

The Berlin Philharmonic's darkest hour

Image
Wilhelm Furtwängler was born on 25th January 1886. He was Music Director of the Berlin Philharmonic from 1923 to his death in 1954, and held this position for the twelve years that Hitler was in power. In January 1945 he was conducting in Vienna, and fled from there to Switzerland where he remained until the Battle of Berlin ended in the defeat of the Nazis. The musicians of his orchestra remained in Berlin during its darkest hour. Here is their story: On 28th March 1945 the Russian forces commanded by Marshal Georgy Zhukov were just twenty miles to the east of Berlin. A month previously Albert Speer had been replaced as Nazi armaments minister after trying to persuade Hitler that defeat was inevitable. Speer now turned his energies to preventing the musicians of his adored Berlin Philharmonic from perishing in the inevitable final battle. Reich Commisioner Dr Joseph Goebells, who was in charge of the defence of Berlin, had ordered the entire orchestra to be drafted into the Vol...
Read more

David Munrow - more than early music

Image
'David Munrow and the Early Music Consort of London transformed our view of medieval music. The impact of their performances far surparssed any that had gone before: by demonstrating how medieval music could sound normal, they created a niche for it in the concert hall and on record that it has never lost' ~ From Daniel Leech-Wilkinson's notes for Music of the Gothic era May 15 2007 is the thirty-first anniversary of the death of David Munrow. His contribution to the acceptance, understanding and performance of early music almost defies summary. He was born in 1942, and learnt the bassoon and recorder as a child. Between school and university he travelled and taught in South America , and started the collection of ethnic instruments that were to give him, and the world, a new perspective on early music making. He read English at Pembroke College , Cambridge, and was encouraged by Thurston Dart to take an active role in the music-making of that most musical of cities. ...
Read more

Classical music's biggest problem is that no one cares

Image
These photos were taken by me in 2008 at independent record retailer Prelude Records in Norwich. Jordi Savall's impromptu viol recital and signing session preceeded two performances at the Norfolk and Norwich Festival. One was a solo recital by Jordi in Peter Mancroft Church ; the other was an immensely moving performance of his visionary Jerusalem multicultural project at the Theatre Royal*. As reported here Prelude Records closed earlier this year; it was a victim of predatory online retailing, and today its premises stand empty awaiting occupation by a mobile phone or E-cigarette retailer. The Norfolk and Norwich Festival has been the victim of savage funding cuts , but continues in a more modest form due to the dedicated work of its small management team. A few days ago I wrote about a two-thirds empty Snape Maltings concert and proposed that classical music's heartland is facing a perfect storm caused by the convergence of the shifts in consumer tastes and the r...
Read more

Which is the best is not important

Image
A recent post highlighted Jazz Raga , a John Coltrane and Ravi Shankar tribute, as one of the few notable new albums in 2025. Another standout among too many dreary derivative new releases is CPO's 16 CD box  Michael Haydn: Complete Symphonies; Wind Concertos .  Michael Haydn's music is overlooked because of meaningless comparisons of 'greatness' with his older brother of Joseph and his contemporary and friend Mozart. As Ajahn Sumedho has explained : "...which is the best is not important. 'The best' is merely a condition we create with thought. When we think about which is the best, we are going into opinions, preferences, conditioning and attachment". Just like the music of Joseph Haydn and Mozart, Michael Haydn's music 'is' and should simply be appreciated for its 'isness'.  
Read more

The purpose of puffery and closed-mindedness

Image
Two contrasting responses from America to my post Third rate music on Naxos' American classics? Flinging merde - ' Granted some of the stuff that Naxos has packaged in that series has been less than distinguished but operating in a cultural establishment where critics treat every cow patty ever dropped by the likes of Alwyn (above) and Bax and Finzi and Michael Tippitt (sic) as if it were fois gras, Clements is hardly in a position to fling merde' - from Sequenza21 , and I'm sure Norman Lebrecht would approve of that misspelling of Tippett. The true beauty of the effort - ' Personally speaking I expect listener reaction to concert music is heavily dependent on emotional mood and cultural/historical context . The concept of "ratings" and "tiers" for composers is pretty much an over-rated specialization of critics, which serves the purpose of puffery and closed-mindedness. My father is the American composer George Frederick McKay (photo be...
Read more

Research identifies classical music’s unique selling point

Image
Music, an abstract stimulus, can arouse feelings of euphoria and craving, similar to tangible rewards that involve the striatal dopaminergic system… These results indicate that intense pleasure in response to music can lead to dopamine release in the striatal system... Our results help to explain why music is of such high value across all human societies. Those extracts are from a paper in the journal Nature Neuroscience . Complex science needs to be treated with respect and caution, but the findings do resonate with recent paths about the links between classical music and hallucinogens , kinetic art (thanks go to Norman Perryman for the heads up ), therapy , and ecstatic traditions such as Sufism . They also suggest exploitable similarities between music and tangible reward systems such as sex and gourmet food, and more importantly to opportunities for the medical application of music – in particular as a palliative for Parkinson’s disease, because a loss of dopamine-secreting neuron...
Read more

Male American pioneers

Image
As the credit crunches who is going to pass up the opportunity to explore lots of composers for less cash? Budget-priced CDs receive a lot of attention , but budget books are also well worth investigating. 20th-Century Composers is an excellent series from innovative publisher Phaidon . They were originally published in the 1990s and are now reappearing at bargain price. The twenty-five titles range from Bernstein and the Beatles through Minimalists to Hindemith, Hartmann and Henze and György Ligeti , and on to Erich Wolfgang Korngold portrayed by our own Jessica Duchen . Seen above is American Pioneers by Alan Rich which I picked up for £6.95 in Blackwells in Edinburgh (egregious strap-line 'The Knowledge Retailer' ). The book is, as you would expect from a leading art publisher, a visual as well as textual delight, with art direction by New Yorker cover contributor Jean-Jaques Sempé . The main profiles are of Charles Ives , Edgar Varèse , Henry Cowell John Cage ...
Read more

Master musician who experienced the pain of genius

Image
On that sleeve for his 1985 recording of the Goldberg Variations , Scott Ross is seen standing in the grounds of Château d'Assas in Languedoc. It was here that many of the harpsichordist's great recordings were made. Then, as today, the château dwelt in the twilight zone between grandeur and dereliction, and thirty years ago the recording sessions were regularly interrupted by the sound of rats scurrying across the floor. Scott Ross was born in Pittsburgh in 1951, and moved to France with his mother following the death of his father in 1964. He studied at the conservatoires in Nice and Paris, and first came to Château d'Assas in 1969 to give music lessons to the grandson of its owner Mme. Simone Demangel . When an early music academy was established at the Château d'Assas, Scott Ross gave masterclasses and became a frequent visitor. At first he stayed in a room in one of the towers, but from 1983 he rented a small house across the road from the château. The photos b...
Read more

Listen to music that matters

Image
In his Lebrecht Weekly column Norman Lebrecht declared that: ' Too much Mozart makes you sick .  M ozart is a menace to musical progress, a relic of rituals that were losing relevance in his own time and are meaningless to ours. Beyond a superficial beauty and structural certainty, Mozart has nothing to give to mind or spirit in the 21st century. Let him rest. Ignore the commercial onslaught. Play the Leningrad Symphony. Listen to music that matters'. Most readers will recognise this outburst as typical self-serving Lebrecht click bait . But those who have any doubt should listen to the five CD reissue of Sir Charles Mackerras conducting the Scottish Chamber Orchestra in nine Mozart symphonies and the Requiem. These are arguably the finest Mozart interpretations  since Bruno Walter's .   Ignore Lebrecht's meaningless onslaught. Mozart's music matters today and has never been more relevant. Because it is music of truth at a time when the truth is being devalued...
Read more

Swamped by a tsunami of classical populism.

Image
These photos show me with Jonathan Harvey in 2010 recording an interview for Future Radio. As I will be away from blogging for a while I am leaving you with a long listen. My broadcast interview is available via this link from the archive website of the then Future Radio station manager Tom Buckham. The 87 minute broadcast ends with a performance of Jonathan's masterpiece for large orchestra and electronics Speakings with Ilan Volkov conducting the BBC Scottish Symphony Orchestra. (For those with 2025 attention spans a transcript is available via this link .)   Jonathan Harvey was a composer with Buddhist tendencies . His composition ... towards a Pure Land for large orchestra evokes the state of mind in Buddhism beyond suffering where there is no grasping. Two years after I recorded the interview Jonathan left us far too early to travel towards the Pure Land. Since then his eclectic vision of a new music for a new audience has been swamped by a tsunami of classical pop...
Read more