T. C. Flournoy letter to Moses Dawson

Letter from Flournoy (Cincinnati, Ohio) to Dawson (Cincinnati, Ohio) declining invitation to the Friends of Free Principles dinner in Cincinnati, Ohio on March 4, 1836.https://www.exhibit.xavier.edu/dawson_correspondence/1044/thumbnail.jp

Recreational Rights to the Dry Sand Beach in Florida: Property, Custom and Controversy

At the close of the 2018 legislative session Florida Governor Rick Scott signed HB 631 into law. Included in the bill, which addressed a number of issues relating to actions for ejectment from real property, was an amendment to the Florida Community Planning Act entitled “Establishment of Recreational Customary Use.” The new statute immediately created a sandstorm of controversy as the media seized on what many in the public perceived to be a land grab over the public’s right to recreate on Florida’s sandy beaches. As it turns out, the story is considerably more nuanced, and neither the advocates on both sides nor the media did the public any favors in the commentary and reporting on this issue. However, both the background to the legislation and subsequent events indicate that the public is rightly concerned about efforts to limit recreational access, some of which have been spurred or exacerbated by what had been a largely localized controversy. This paper begins by briefly describing the history of the current controversy, which had its origins in Walton County, Florida. The conflict centers on arguments about the public’s right to use the dry sand beach -- that area of the beach that is between the line of vegetation and the mean high tide line, and is often privately owned. We then discuss the broader legal context that gives rise to boundary disputes along dynamic shorelines and provide the essential policy-relevant facts concerning public and private sandy beach ownership. In order to fully understand the legal basis for the public’s claim of right to use the sandy beaches and the legislative response, we summarize the history of the relevant legal doctrine – known as customary use -- that came over from England during the post-colonial era and made its way into the law of a number of states, including Florida. We offer a detailed review of the Florida Supreme Court’s landmark case on the customary use doctrine along with subsequent lower court cases interpreting it. We then attempt to identify the legal issues that have created widespread confusion regarding the interplay among the common law property rights at issue, local ordinances that recognize and regulate those rights, and particularly, the state legislation that precipitated the widespread attention to and conflict over this issue -- HB 631, now codified in Fla. Stat. 163.035. After flagging several legal issues at the heart of the conflict, we provide an annotated summary of the statute that describes the interpretive issues it raises or may raise. We conclude by discussing some of the options available to the Florida legislature to resolve the sandstorm of controversy that HB 631 engendered

Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory

In this paper we consider a class of exactly solvable closed string flux backgrounds that exhibit non-commutativity in the closed string coordinates. They are realized in terms of freely-acting asymmetric Z_N-orbifolds, which are themselves close relatives of twisted torus fibrations with elliptic Z_N-monodromy (elliptic T-folds). We explicitly construct the modular invariant partition function of the models and derive the non-commutative algebra in the string coordinates, which is exact to all orders in {\alpha}'. Finally, we relate these asymmetric orbifold spaces to inherently stringy Scherk-Schwarz backgrounds and non-geometric fluxes.Comment: 30 page

T-duality in the weakly curved background

We consider the closed string propagating in the weakly curved background which consists of constant metric and Kalb-Ramond field with infinitesimally small coordinate dependent part. We propose the procedure for constructing the T-dual theory, performing T-duality transformations along coordinates on which the Kalb-Ramond field depends. The obtained theory is defined in the non-geometric double space, described by the Lagrange multiplier $y_\mu$ and its $T$-dual $\tilde{y}_\mu$. We apply the proposed T-duality procedure to the T-dual theory and obtain the initial one. We discuss the standard relations between T-dual theories that the equations of motion and momenta modes of one theory are the Bianchi identities and the winding modes of the other

Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric compactifications. The local symmetry reduces to gauge transformations with the gaugings exactly matching those of the embedding tensor approach to gauged supergravity. Importantly, this approach now includes a nontrivial dependence of the fields on the extra coordinates of the extended space.Comment: 22 pages Latex; v2: typos corrected and references adde

Matrix theory origins of non-geometric fluxes

We explore the origins of non-geometric fluxes within the context of M theory described as a matrix model. Building upon compactifications of Matrix theory on non-commutative tori and twisted tori, we formulate the conditions which describe compactifications with non-geometric fluxes. These turn out to be related to certain deformations of tori with non-commutative and non-associative structures on their phase space. Quantization of flux appears as a natural consequence of the framework and leads to the resolution of non-associativity at the level of the unitary operators. The quantum-mechanical nature of the model bestows an important role on the phase space. In particular, the geometric and non-geometric fluxes exchange their properties when going from position space to momentum space thus providing a duality among the two. Moreover, the operations which connect solutions with different fluxes are described and their relation to T-duality is discussed. Finally, we provide some insights on the effective gauge theories obtained from these matrix compactifications.Comment: 1+31 pages, reference list update

Lectures on Nongeometric Flux Compactifications

These notes present a pedagogical review of nongeometric flux compactifications. We begin by reviewing well-known geometric flux compactifications in Type II string theory, and argue that one must include nongeometric "fluxes" in order to have a superpotential which is invariant under T-duality. Additionally, we discuss some elementary aspects of the worldsheet description of nongeometric backgrounds. This review is based on lectures given at the 2007 RTN Winter School at CERN.Comment: 31 pages, JHEP

3-cocycles, non-associative star-products and the magnetic paradigm of R-flux string vacua

We consider the geometric and non-geometric faces of closed string vacua arising by T-duality from principal torus bundles with constant H-flux and pay attention to their double phase space description encompassing all toroidal coordinates, momenta and their dual on equal footing. We construct a star-product algebra on functions in phase space that is manifestly duality invariant and substitutes for canonical quantization. The 3-cocycles of the Abelian group of translations in double phase space are seen to account for non-associativity of the star-product. We also provide alternative cohomological descriptions of non-associativity and draw analogies with the quantization of point-particles in the field of a Dirac monopole or other distributions of magnetic charge. The magnetic field analogue of the R-flux string model is provided by a constant uniform distribution of magnetic charge in space and non-associativity manifests as breaking of angular symmetry. The Poincare vector comes to rescue angular symmetry as well as associativity and also allow for quantization in terms of operators and Hilbert space only in the case of charged particles moving in the field of a single magnetic monopole

Synaesthesia: The prevalence of atypical cross-modal experiences

Sensory and cognitive mechanisms allow stimuli to be perceived with properties relating to sight, sound, touch, etc, and ensure, for example, that visual properties are perceived as visual experiences, rather than sounds, tastes, smells, etc. Theories of normal development can be informed by cases where this modularity breaks down, in a condition known as synaesthesia. Conventional wisdom has held that this occurs extremely rarely (0.05% of births) and affects women more than men. Here we present the first test of synaesthesia prevalence with sampling that does not rely on self-referral, and which uses objective tests to establish genuineness. We show that (a) the prevalence of synaesthesia is 88 times higher than previously assumed, (b) the most common variant is coloured days, (c) the most studied variant (grapheme-colour synaesthesia)-previously believed most common-is prevalent at 1%, and (d) there is no strong asymmetry in the distribution of synaesthesia across the sexes. Hence, we suggest that female biases reported earlier likely arose from (or were exaggerated by) sex differences in self-disclosure