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The Wave Equation in a General Spherically Symmetric Particlelike Geometry.
Higher Symplectic Geometry     Higher Symplectic Geometry  Differential Geometry       font style='font-size:12px;'> 2011/7/26
Abstract: We consider generalizations of symplectic manifolds called n-plectic manifolds. A manifold is n-plectic if it is equipped with a closed, nondegenerate form of degree n+1. We show that higher...
Abstract: A physical interpretation of the two-sheeted space, the most fundamental ingredient of noncommutative spectral geometry proposed by Connes as an approach to unification, is presented. It is ...
The Wave Equation in a General Spherically Symmetric Black Hole Geometry.
Abstract: We present a study of the Dirac theory of constraints emphasizing the duality between the Poisson-algebraic and the geometric points of view, related respectively to the work of Dirac and of...
Geometry of membranes     Geometry  membranes       font style='font-size:12px;'> 2011/9/13
This review reports some theoretical results on the Geometry of membranes.The governing equations to describe equilibrium configurations of lipid vesicles, lipid membranes with free edges, and chiral ...
We construct a novel approach, based on thermodynamic geometry, to characterize first-order phase transitions from a microscopic perspective,through the scalar curvature in the equilibrium thermodynam...
The Geometry of Putting on a Planar Surface     Planar Surface  Putt Trajectories       font style='font-size:12px;'> 2011/8/31
This paper explores the geometry of putting in the limiting case of a planar putting surface. Putts equidistant from the hole originating on an arc spanning ±30 degrees are shown to share a common tar...
Abstract: A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field...
Investigating the Spectral Geometry of a Soft Wall.
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
Abstract: We question the emergence of a minimal length in quantum spacetime, confronting two notions that appeared at various points in the literature: length as the spectrum of an operator L in the ...
Abstract: We study closed bosonic strings propagating both in a flat background with constant H-flux and in its T-dual configurations. We define a conformal field theory capturing linear effects in th...
Impact of dead zones on the response of a hadron calorimeter with projective and non-projective geometry
The width of a convex curve in the plane is the minimal distance between a pair of parallel supporting lines of the curve. In this paper we study the width of nodal lines of eigenfunctions of the Lapl...

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