We propose a method to construct quantum theory of matter fields in a topology changing universe. Analytic continuation of the semiclassical gravity of a Lorentzian geometry leads to a non-unitary Schrödinger equation in a Euclidean region of spacetime, which does not have a direct interpretation of quantum theory of the Minkowski spacetime. In this Euclidean region we quantize the Euclidean ge...

nowadays “design” is considered as an independent discipline which is neither a science, nor an art, but an interdiscipline with strong relations with both art and science. therefore, this new understanding demands reidentifying all design sub-disciplines. “space” as one of this sub-disciplines, has a pivotal role in shaping form in both design and architecture. while concrete understanding of ...

The commonly used Lorentzian form of the Raman response function for studying propagation of ultrashort pulses in silica fibers does not properly account for the shoulder in the Raman gain spectrum originating from the Boson peak. We propose a more accurate form of this response function and show that its predictions for the Raman-induced frequency shift should be in better agreement with exper...

let $(m^{2n},g)$ be a real hypersurface with recurrent shapeoperator and tangent to the structure vector field $xi$ of the sasakian space form$widetilde{m}(c)$. we show that if the shape operator $a$ of $m$ isrecurrent then it is parallel. moreover, we show that $m$is locally a product of two constant $phi-$sectional curvaturespaces.

We consider correlators of N = 4 super Yang Mills of the form A ∼〈O1O2O 1O 2〉, where the operatorsO1 andO2 are scalar primaries. In particular, we analyze this correlator in the planar limit and in a Lorentzian regime corresponding to high energy interactions in AdS. The planar amplitude is dominated by a Regge pole whose nature varies as a function of the ’t Hooft coupling g. At large g, the p...

The dynamic spin susceptibility (DSS) has a ubiquitous Lorentzian form around the Zeeman energy in conventional materials with weak spin orbit coupling, whose spectral width characterizes the spin relaxation rate. We show that DSS has an unusual non-Lorentzian form in topological insulators, which are characterized by strong SOC, and the anisotropy of the DSS reveals the orientation of the unde...

We prove new estimates for the volume of a Lorentzian manifold and show especially that cosmological spacetimes with crushing singularities have finite volume. 0. Introduction Let N be a (n + 1)-dimensional Lorentzian manifold and suppose that N can be decomposed in the form (0.1) N = N0 ∪N− ∪N+, where N0 has finite volume and N− resp. N+ represent the critical past resp. future Cauchy developm...