Oscillations in the Primordial Bispectrum: Mode Expansion

We consider the presence of oscillations in the primordial bispectrum, inspired by three different cosmological models; features in the primordial potential, resonant type non-Gaussianities and deviation from the standard Bunch Davies vacuum. In order to put constraints on their bispectra, a logical first step is to put these into factorized form which can be achieved via the recently proposed method of polynomial basis expansion on the tetrahedral domain. We investigate the viability of such an expansion for the oscillatory bispectra and find that one needs an increasing number of orthonormal mode functions to achieve significant correlation between the expansion and the original spectrum as a function of their frequency. To reduce the number of modes required, we propose a basis consisting of Fourier functions orthonormalized on the tetrahedral domain. We show that the use of Fourier mode functions instead of polynomial mode functions can lead to the necessary factorizability with the use of only 1/5 of the total number of modes required to reconstruct the bispectra with polynomial mode functions. Moreover, from an observational perspective, the expansion has unique signatures depending on the orientation of the oscillation due to a resonance effect between the mode functions and the original spectrum. This effect opens the possibility to extract informa- tion about both the frequency of the bispectrum as well as its shape while considering only a limited number of modes. The resonance effect is independent of the phase of the reconstructed bispectrum suggesting Fourier mode extraction could be an efficient way to detect oscillatory bispectra in the data.Comment: 17 pages, 12 figures. Matches published versio

On three dimensions as the preferred dimensionality of space via the Brandenberger-Vafa mechanism

In previous work it was shown that, in accord with the Brandenberger-Vafa mechanism, three is the maximum number of spatial dimensions that can grow large cosmologically from an initial thermal fluctuation. Here we complement that work by considering the possibility of successive fluctuations. Suppose an initial fluctuation causes at least one dimension to grow, and suppose successive fluctuations occur on timescales of order alpha'^{1/2}. If the string coupling is sufficiently large, we show that such fluctuations are likely to push a three-dimensional subspace to large volume where winding modes annihilate. In this setting three is the preferred number of large dimensions. Although encouraging, a more careful study of the dynamics and statistics of fluctuations is needed to assess the likelihood of our assumptions.Comment: 20 pages, 4 figures. v2: additional references, various improvements for clarity. v3: more improvements, version to appear in PR

ab initio frame transformation calculations of direct and indirect dissociative recombination rates of HeH+ + e-

The HeH$^+$ cation undergoes dissociative recombination with a free electron to produce neutral He and H fragments. We present calculations using ab initio quantum defects and Fano's rovibrational frame transformation technique, along with the methodology of PRL 89, 263003 (2002), to obtain the recombination rate both in the low-energy (1-300 meV) and high-energy (ca. 0.6 hartree) regions. We obtain very good agreement with experimental results, demonstrating that this relatively simple method is able to reproduce observed rates for both indirect dissociative recombination, driven by rovibrationally autoionizing states in the low-energy region, and direct dissociative recombination, driven by electronically autoionizing Rydberg states attached to higher-energy excited cation channels.Comment: Submitted to Phys Rev

A bulk inflaton from large volume extra dimensions

The universe may have extra spatial dimensions with large volume that we cannot perceive because the energy required to excite modes in the extra directions is too high. Many examples are known of such manifolds with a large volume and a large mass gap. These compactifications can help explain the weakness of four-dimensional gravity and, as we show here, they also have the capacity to produce reasonable potentials for an inflaton field. Modeling the inflaton as a bulk scalar field, it becomes very weakly coupled in four dimensions, and this enables us to build phenomenologically acceptable inflationary models with tunings at the few per mil level. We speculate on dark matter candidates and the possibility of braneless models in this setting.Comment: 21 pages, LaTeX, 2 pdf figures. v2: additional references. v3: added comments on moduli stabilizatio

Bouncing and cyclic string gas cosmologies

We show that, in the presence of a string gas, simple higher-derivative modifications to the effective action for gravity can lead to bouncing and cyclic cosmological models. The modifications bound the expansion rate and avoid singularities at finite times. In these models the scale factors can have long loitering phases that solve the horizon problem. Adding a potential for the dilaton gives a simple realization of the pre-big bang scenario. Entropy production in the cyclic phase drives an eventual transition to a radiation-dominated universe. As a test of the Brandenberger-Vafa scenario, we comment on the probability of decompactifying three spatial dimensions in this class of models.Comment: 35 pages, LaTeX, 9 figures. v2: additional references. v3: comments on Einstein frame, version to appear in PR

Firm Value and Financial Constraints: Evidence from private firm sellouts and reverse mergers

Essay 1: I examine sales of private firms to better understand the effect of relaxing financial constraints on firm value. My empirical tests exploit an exogenous shock to financial constraints caused by interstate bank branching deregulation. On a sample of 557 sales of private firms to public acquirers, I find that relaxed financial constraints lead to a statistically significant increase of 7.3% in valuation multiples of private targets. I also find a significant increase in private target valuation multiples benchmarked to public target valuation multiples. These effects are more pronounced for firms in the sample with below median annual sales. Acquirer returns are negatively impacted when financial constraints on private targets are relaxed. The evidence supports the prediction that relaxing financial constraints allows private targets to substitute bank credit for some of the financing benefits provided by acquirers and bargain for a higher valuation

The Digital Spatial Fix

This article brings distinct strands of the political economy of communication and economic geography together in order to theorise the role digital technologies play in Marxian crisis theory. Capitalist advances into digital spaces do not make the law of value obsolete, but these spaces do offer new methods for displacing overaccumulated capital, increasing consumption, or accumulating new, cheaper labour. We build on David Harvey’s theory of the spatial fix to describe three digital spatial fixes, fixed capital projects that use the specific properties of digital spaces to increase the rate of profit, before themselves becoming obstacles to the addictive cycle of accumulation: the primitive accumulation of time in the social Web, the annihilation of time by space in high-frequency trading, and affect rent in virtual worlds. We conclude by reflecting on how these digital spatial fixes also fix the tempo of accumulation and adjust the time-scale of Marxian crisis theory

Estimates of rates for dissociative recombination of NO2+_2^+ + e−^- via various mechanisms

We estimate rates for the dissociative recombination (DR) of NO$_2^+$ + e$^-$. Although accurate excited state potential energy curves for the excited states of the neutral are not available, we estimate that the 1 $^2${\Phi}$_g$ and the 1 $^2${\Pi}$_g$ states of the neutral may intersect the ground state cation potential energy surface near its equilibrium geometry. Using fixed nuclei scattering calculations we estimate the rate for direct DR via these states and find it to be significant. We also perform approximate calculations of DR triggered by the indirect mechanism, which suggest that the indirect DR rate for NO$_2^+$ is insignificant compared to the direct rate.Comment: Submitted to Phys Rev