Theory of exterior space formation-II

Hardy space method for exterior Maxwell problems

A relevant difference between (9) and least squares formulations is that the former can be used to prove k-explicit stability bounds on u, while the seconds requires these bounds to be well-posed. We note that, using an appropriate operator T : V → V , any well-posed formulation in the form (2) can be translated in a sign-definite one: aT (u, v) := a(u, T v) = F (Tv) =: FT (v). However, the ope...

Exterior Power Operations on Higher K-theory

Electromagnetic Theory with Discrete Exterior Calculus

A self-contained electromagnetic theory is developed on a simplicial lattice. Instead of dealing with vectorial field, discrete exterior calculus (DEC) studies the discrete differential forms of electric and magnetic fields, and circumcenter dual is adopted to achieve diagonal Hodge star operators. In this paper, Gauss’ theorem and Stokes’ theorem are shown to be satisfied inherently within DEC...

String Theory, Space-Time Non-Commutativity and Structure Formation

A natural consequence of string theory is a non-commutative structure of space-time on microscopic scales. The existence of a minimal length, and a modification of the effective field theory are two consequences of this space-time non-commutativity. I will first explore some consequences of the modifications of the effective field theory for structure formation in the context of an inflationary...

space and social theory

0