KSR v. Teleflex: How “Obviousness” Has Changed

In KSR v. Teleflex, the Supreme Court examined the Federal Circuit\u27s obviousness jurisprudence for patents. Both prior to and in this case, the Federal Circuit rigidly applied its judicially created teaching, suggestion, or motivation (TSM) test to determine whether the prior art would direct an inventor of ordinary skill in the art to combine references or elements in references in the same way as the patentee did. The Supreme Court, however, reversed the decision of the Federal Circuit, and held that by applying the TSM test in such a strict manner, the Federal Circuit had analyzed the issue in a narrow, rigid manner inconsistent with [35 U.S.C.] § 103 and our precedents. KSR is now the controlling case defining the proper obviousness analysis for patents

String Corrected Spacetimes and SU(N)-Structure Manifolds

Using an effective field theory approach and the language of SU(N)-structures, we study higher derivative corrections to the supersymmetry constraints for compactifications of string or M-theory to Minkowski space. Our analysis is done entirely in the target space and is thus very general, and does not rely on theory-dependent details such as the amount of worldsheet supersymmetry. For manifolds of real dimension n<4 we show that the internal geometry remains flat and uncorrected. For n=4, 6, Kahler manifolds with SU(N)-holonomy can become corrected to SU(N)-structure, while preserving supersymmetry, once corrections are included.Comment: 27 page

Kaluza-Klein Theories Without Truncation

In this note we present a closed expression for the space-time effective action for all bosonic fields (massless and massive) obtained from the compactification of gravity or supergravity theories (such as type II or eleven-dimensional supergravities) from $D$ to $d$ space-time dimensions.Comment: 20 page

A Technical Note on Comparative Dynamics in a Fiscal Competition Model

This note discusses the comparative dynamic analysis in "Fiscal competition in space and time" by David Wildasin (Journal of Public Economics, Vol. 87, 2003) from a technical point of view.dynamic tax competition, imperfect capital mobility, comparative dynamics, Peano Theorem

Dynamic Tax Competition and Public-Sector Modernisation

This paper addresses the question whether increased mobility of capital enhances public-sector modernisation. Public-sector modernisation is modelled as the accumulation of knowledge (or another accumulated production factor) that serves as an input in the government's production of a consumption good. The public-sector provides a direct transfer to households. The tax competition model in the background is a dynamic model in which capital flight induced by taxation is a process that takes time. The speed with which firms can relocate capital to other jurisdictions is taken as a measure of the degree of capital mobility. The main result of the paper is a contradiction of the idea that the competitive pressure caused by increased capital mobility enhances public sector modernisation.public-sector modernisation, dynamic tax competition, imperfect capital mobility

Towards a CC-function in 4D quantum gravity

We develop a generally applicable method for constructing functions, $C$, which have properties similar to Zamolodchikov's $C$-function, and are geometrically natural objects related to the theory space explored by non-perturbative functional renormalization group (RG) equations. Employing the Euclidean framework of the Effective Average Action (EAA), we propose a $C$-function which can be defined for arbitrary systems of gravitational, Yang-Mills, ghost, and bosonic matter fields, and in any number of spacetime dimensions. It becomes stationary both at critical points and in classical regimes, and decreases monotonically along RG trajectories provided the breaking of the split-symmetry which relates background and quantum fields is sufficiently weak. Within the Asymptotic Safety approach we test the proposal for Quantum Einstein Gravity in $d>2$ dimensions, performing detailed numerical investigations in $d=4$. We find that the bi-metric Einstein-Hilbert truncation of theory space introduced recently is general enough to yield perfect monotonicity along the RG trajectories, while its more familiar single-metric analog fails to achieve this behavior which we expect on general grounds. Investigating generalized crossover trajectories connecting a fixed point in the ultraviolet to a classical regime with positive cosmological constant in the infrared, the $C$-function is shown to depend on the choice of the gravitational instanton which constitutes the background spacetime. For de Sitter space in 4 dimensions, the Bekenstein-Hawking entropy is found to play a role analogous to the central charge in conformal field theory. We also comment on the idea of a `$\Lambda$-$N$ connection' and the `$N$-bound' discussed earlier.Comment: 15 figures; additional comment

Propagating gravitons vs. dark matter in asymptotically safe quantum gravity

Within the Asymptotic Safety scenario, we discuss whether Quantum Einstein Gravity (QEG) can give rise to a semi-classical regime of propagating physical gravitons (gravitational waves) governed by an effective theory which complies with the standard rules of local quantum field theory. According to earlier investigations based on single-metric truncations there is a tension between this requirement and the condition of Asymptotic Safety since the former (latter) requires a positive (negative) anomalous dimension of Newton's constant. We show that the problem disappears using the bi-metric renormalization group flows that became available recently: They admit an asymptotically safe UV limit and, at the same time, a genuine semi-classical regime with a positive anomalous dimension. This brings the gravitons of QEG on a par with arbitrary (standard model, etc.) particles which exist as asymptotic states. We also argue that metric perturbations on almost Planckian scales might not be propagating, and we propose an interpretation as a form of `dark matter'.Comment: 12 figures; further discussions adde