6533b827fe1ef96bd1287053
RESEARCH PRODUCT
Hypergestures in Complex Time: Creative Performance Between Symbolic and Physical Reality
Maria MannoneGuerino Mazzolasubject
Pure mathematicsEuler-Lagrange equationSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciSettore INF/01 - InformaticaInformationSystems_INFORMATIONINTERFACESANDPRESENTATION(e.g.HCI)Complex timeString theoryMeasure (mathematics)Imaginary timeTransformation (music)Motion (physics)AlgebraSettore MAT/02 - AlgebraComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComplex time; Euler-lagrange equation; Hypergestures; Performance theory; String theory; World-sheets of space-timeString theoryWorld-sheets of space-timePerformance theoryHypergesturesRealization (systems)The ImaginaryGestureMathematicsdescription
Musical performance and composition imply hypergestural transformation from symbolic to physical reality and vice versa. But most scores require movements at infinite physical speed that can only be performed approximately by trained musicians. To formally solve this divide between symbolic notation and physical realization, we introduce complex time (\(\mathbb {C}\)-time) in music. In this way, infinite physical speed is “absorbed” by a finite imaginary speed. Gestures thus comprise thought (in imaginary time) and physical realization (in real time) as a world-sheet motion in space-time, corresponding to ideas from physical string theory. Transformation from imaginary to real time gives us a measure of artistic effort to pass from potentiality of thought to physical realization of artwork. Introducing \(\mathbb {C}\)-time we define a musical kinematics, calculate Euler-Lagrange equations, and, for the case of the elementary gesture of a pianist’s finger, solve corresponding Poisson equations that describe world-sheets which connect symbolic and physical reality.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |