Title: Conformal symmetry breaking and self-similar spirals
Jacob Bernoulli’s Spira Mirabilis set free
Speaker: Dr. Jemal Guven (ICN, UNAM )
Abstract: Self-similar curves are a recurring motif in nature. They also arise naturally as tension-free stationary states of conformally invariant energies. Planar logarithmic spirals, for example, are associated with the simplest such energy, the conformal arc-length, and their remarkable properties follow as a consequence of this invariance and the manner of its breaking. In this talk I will construct their three-dimensional analogues explicitly. The qualitative behavior of these states is controlled by two parameters, the conserved scaling current S and the magnitude of the torque M. The corresponding conservation laws determine the curvature and the torsion. If the spiral apex is located at the origin, the conserved special conformal current vanishes. This permit the spiral trajectory to be traced in the spherical polar coordinate system adapted to the spiral apex and the torque axis. Planar logarithmic spirals occur when M and S are tuned so that 4MS = 1. More generally, the spiral exhibits internal structure, nutating between two cones aligned along the torque axis. It expands monotonically as this pattern precesses about this axis. If the spiral is supercritical (4MS > 1) the cones are identical and oppositely oriented; the torsion changes sign within the nutation cycle where the projection along the torque axis reverses. These elementary spirals provide the natural templates against which to compare spiral patterns exhibiting self-similar behavior. In particular, supercritical trajectories approximate rather well the nutating tip of the growing tendril in a climbing plant first described by Darwin. This is probably not a coincidence.
Time: Thursday, 18 July 2019, 2:30pm
Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4
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Last Updated: 9th July 2019 by George Rogers
Thursday 18th July : STP Seminar – Conformal symmetry breaking and self-similar spirals
Title: Conformal symmetry breaking and self-similar spirals
Jacob Bernoulli’s Spira Mirabilis set free
Speaker: Dr. Jemal Guven (ICN, UNAM )
Abstract: Self-similar curves are a recurring motif in nature. They also arise naturally as tension-free stationary states of conformally invariant energies. Planar logarithmic spirals, for example, are associated with the simplest such energy, the conformal arc-length, and their remarkable properties follow as a consequence of this invariance and the manner of its breaking. In this talk I will construct their three-dimensional analogues explicitly. The qualitative behavior of these states is controlled by two parameters, the conserved scaling current S and the magnitude of the torque M. The corresponding conservation laws determine the curvature and the torsion. If the spiral apex is located at the origin, the conserved special conformal current vanishes. This permit the spiral trajectory to be traced in the spherical polar coordinate system adapted to the spiral apex and the torque axis. Planar logarithmic spirals occur when M and S are tuned so that 4MS = 1. More generally, the spiral exhibits internal structure, nutating between two cones aligned along the torque axis. It expands monotonically as this pattern precesses about this axis. If the spiral is supercritical (4MS > 1) the cones are identical and oppositely oriented; the torsion changes sign within the nutation cycle where the projection along the torque axis reverses. These elementary spirals provide the natural templates against which to compare spiral patterns exhibiting self-similar behavior. In particular, supercritical trajectories approximate rather well the nutating tip of the growing tendril in a climbing plant first described by Darwin. This is probably not a coincidence.
Time: Thursday, 18 July 2019, 2:30pm
Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4
Category: Regular seminars, Uncategorised
...obituaries of prominent individuals The manuscript has been preserved in the @Library_RIA since 1883. (3/3) @HistFest #DIASdiscovers #connacht #books
The Annals of Connacht is a vellum manuscript that was written in the mid-16th century. The contents were derived from older annals compiled for the O’Conors of the Connacht and contain an annual record of significant events over 320 years, and... (2/3)
Date: 19 October 1944 Paper: The Irish Press Synopsis: DIAS has been publishing books since it's founding. One such early publication is the edited manuscript of the Annals of Connacht (Annála Connacht) which was edited for the first time by Martin Freeman of DIAS. (1/3)
This work was to help towards the preservation of the Irish Language, to maintain it's continuity with the past, and was to become a resource for teachers to check pronunciation #DIASdiscovers #Irish #Irishlanguage #CelticStudies #Gaelic
The researchers used the International Phonetic Alphabet, slightly modified to represent vowels and consonants of living speech. At that time there were concerns over the deterioration of the Irish language due to the "overpowering influence of English"
Date: 02 June 1943 Paper: The Irish Press Synopsis: In 1943, a phonetic investigation led by Brian Ó Cuív, Risteárd B. Breathnach and Tomás de Bhaldraithe of DIAS would begin the first systematic scientific recording of the varied sounds of modern Gaelic speech.
Happy Birthday! twitter.com/thecelticist/s…
The papers were 1) Affine Field Theory: conservation identitites and relation to Weyl and Eddington 2)The Union of the three fundamental fields (Gravitation, Menson, Electromagnetism) Which went on to secure worldwide acclaim. #DIASdiscovers
Date: 01 December 1943 Paper: The Irish Press Headline: Two Papers by Dr. Schroedinger Synopsis: 1943 was a busy year for Schroedinger. Not only did he deliver the "What is Life?" Lectures in @tcddublin in February in November he delivered two papers in the @RIAdawson (1/2)
Available to buy on the DIAS bookshop: books.dias.ie/index.php?main… (5/5) #DIASdiscovers #celtic #studies #twopatricks
"In the lives of St. Patrick, the two saints are invariably fused into one", said Prof. O'Rahilly in his lecture. The lecture was a condensation from O’Rahilly’s book “The two Patricks: a lecture on the history of Christianity in fifth-century Ireland”. (4/5)
He was known by his first name Patricius, which in later times would lead to confusion as he was succeeded by another apostle of the same name (Saint Patrick or Patricius in Latin). (3/5)
He spoke on "Palladius and Patrick". Palladius was the first bishop of the Christians of Ireland. (2/5)
Date: 21st March 1942 Paper: The Irish Press Headline: Palladius and Patrick | School Of Celtic Studies Lecture Synopsis: The first public lecture under the auspices of the School of Celtic Studies was delivered in Trinity College by Professor T. F. O'Rahilly in 1942. (1/5)
As part of our ongoing participation in the @HistFest we decided to take a look into the Irish Newspaper Archives and see where DIAS made it into print over the last 80 years. There were so many articles, the hardest part was selecting what we would post. We hope you enjoy!
@AReillyFailte @CultureNight @VisitDublin Thanks Antoinette! Glad you enjoyed 😊