Bernhard Riemann’s 1854 habilitation thesis ‘On the hypotheses which lie at the foundation of geometry’ ought to be read as it was originally intended to: a critique of measure pointing at mathematicians and philosophers alike. Taking Deleuze’s appropriation of Riemann as a point of departure in Bergsonism, it is important to highlight and further develop the critical implications of Riemannian manifolds.
Considering that manifolds were not intended to be simply mathematical structures – in fact, Riemann exemplified them in the physical domain as colour, and in general, qualities – the concept of manifolds can and should be extended to different fields. The second day of our meeting will be an attempt to explore those possibilities by looking at dynamic systems (self-organized criticality) and physical processes (1/f noise). The aim will be to conceive of time as fluctuating, but without trivializing it. Perhaps if we were to experience it directly, we would have to rescale it to our own time metric, which points for exploration towards the infinitesimal. This could be what Curtis Roads means by ‘microsound’, which is why sound will be manipulated, stretched and granulated. We will problematize Fourier series and reflect on the idealized sine tone.
These shifts from different fields will necessarily raise questions concerning the translatability of structures (i.e. in parametric design) and their creative potential in transdisciplinary practices.
Emiddio Vasquez holds an MAS degree in Mathematical Physics and Philosophy.
Here is Emiddio’s lecture from 2013: Riemannian Manifolds and their role in Deleuze and Guattari‘s philosophy