noncommutative cosmology matilde marcolli youtube

Noncommutative cosmology matilde marcolli youtube plus#

Grosche, “Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string,” Comm. González-Diez, Introduction to Compact Riemann Surfaces and Dessins d’Enfants (Cambridge University Press, 2012).Ĭ. Hübsch, “On dimensional extension of supersymmetry: From worldlines to world-sheets,” Adv. Fried, “Symbolic dynamics for triangle groups,” Invent. Fisher, An Approach to the Selberg Trace Formula via the Selberg Zeta-Function, Lecture Notes in Mathematics 1253 (Springer, 1987).ĭ. Gates, Jr., “Adinkras: a graphical technology for supersymmetric representation theory,” Phys.

Shokri, “Automorphic forms for triangle groups,” Commun. Méndez-Diez, “Geometrization of N-extended 1-dimensional supersymmetry algebras, II,” arXiv:1610.09983, (2016).Ĭ. Méndez-Diez, “Geometrization of N-extended 1-dimensional supersymmetry algebras, I,” Adv. Landweber, “On graph-theoretic identifications of Adinkras, supersymmetry representations and superfields,” Int. Landweber, “Relating doubly-even error-correcting codes, graphs, and irreducible representations of N-supersymmetry,” in: Discrete and Computational Mathematics, pp. Miller, “Codes and supersymmetry in one dimension,” Adv. Marcolli, Noncommutative Geometry, Quantum Fields and Motives, Colloquium Publications 55 (American Mathematical Society, 2008).Ĭ. Connes, “Geometry from the spectral point of view,” Lett. Wolfart, “Fuchsian triangle groups and Grothendieck dessins. Reshetikhin, “Dimers on surface graphs and spin structures, I,” Comm. Mayer, “Thermodynamic formalism and Selberg’s zeta function for modular groups,” Regul. Connes, “The spectral action principle,” Comm. Stiepan, “The Selberg trace formula for Dirac operators,” J. Belyi, “On Galois extensions of a maximal cyclotomic field,” Math. van Suijlekom, Supersymmetry and Noncommutative Geometry (Springer, 2015). Schwarz, “A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings,” Commun. Our method is a general tool to contrast the predictions of several scenarios of fluctuation generation regarding large scale structures in the Universe.A. We develope our argument in such a way that the formulae are valid for any shape of the primordial spectrum, and choose a scale invariant one to compare with actual observations. In the second one we calculate the CMBR anisotropies at large angular scales produced by the density contrast and by the asymmetry of the observer's location, up to first order in the perturbations. In the first case we find expressions to evaluate the density contrast and the number count and luminosity distance vs redshift relationships up to second order in the perturbations. We solve perturbatively a Hamilton Jacobi equation for a timelike geodesic and obtain the null one as a limiting case in two situations: for an observer located in the center of symmetry and for a non centered one.

Noncommutative cosmology matilde marcolli youtube plus#

We assume no a priori profile for them, instead we find it through a matching procedure of the Tolman Universe to a flat Friedmann Robertson Walker Universe plus perturbations originated during Inflation. We present an analytical method to extract observational predictions about non linear evolution of perturbations in a Tolman Universe. Its mathematical exposition will be addressed in Part II with a generalization of the emergent spacetime picture to matrix string theory. In Part I we will focus on the physical foundation of cosmic inflation from the emergent spacetime picture to highlight the main idea. This implies that the emergent spacetime may incapacitate all the rationales to introduce the multiverse hypothesis. The emergent spacetime picture admits a background-independent formulation so that the inflation can be described by a conformal Hamiltonian system characterized by an exponential phase space expansion without introducing any inflaton field as well as an inflation potential. We observe that the cosmic inflation is triggered by the condensate of Planck energy into vacuum responsible for the dynamical emergence of spacetime and must be a single event according to the exclusion principle of noncommutative spacetime caused by the Planck energy condensate in vacuum.

The inflation in this picture corresponds to a dynamical process to generate space and time while the conventional inflation is simply an (exponential) expansion of a preexisting spacetime owing to the vacuum energy carried by an inflaton field. We propose a background-independent formulation of cosmic inflation.