What Is the Validity Domain of Einstein’s Equations? Distributional Solutions over Singularities and Topological Links in Geometrodynamics

The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations. We address the problem of constructing distinguishable extensions of the smooth spacetime manifold model, which can incorporate singularities, while retaining the form of the field equations. The sheaf-theoretic formulation of this problem is tantamount to extending the algebra sheaf of smooth functions to a distribution-like algebra sheaf in which the former may be embedded, satisfying the pertinent cohomological conditions required for the coordinatization of all of the tensorial physical quantities, such that the form of the field equations is preserved. We present in detail the construction of these distribution-like algebra sheaves in terms of residue classes of sequences of smooth functions modulo the information of singular loci encoded in suitable ideals. Finally, we consider the application of these distribution-like solution sheaves in geometrodynamics by modeling topologically-circular boundaries of singular loci in three-dimensional space in terms of topological links. It turns out that the Borromean link represents higher order wormhole solutions

Women and labor market changes in the global economy : growth helps, inequalities hurt, and public policy matters

This report examines the level and changes in female and male participation rates, employment segregation, and female wages relative to male wages across the world economy. It funds sufficient evidence to support the view that labor markets in developing countries are transformed relatively quickly in the sense that gender differentials in employment and pay are narrowing much faster than they did inindustrialized countries. However, the report evaluates the inefficiencies arising from persisting gender differentials in the labor market and finds them to be potentially significant. The estimates also indicate that the resulting deadweight losses are borne primarily by women while men gain mainly in relative terms-there are no real winners from discrimination. The paper concludes that growth benefits women at large, inequalities can have significantly adverse effects on welfare, and market-based development alone can be a weak instrument doe reducing inequality between the sexes. To break the vicious cycle of women's low initial human capital endowments and inferior labor market outcomes compared to men's, the report proposes greater access to education and training for girls and women, enforceable equal pay and equal employment opportunities legislation, a taxation and benefits structure that treats reproduction as an economic activity and women as equal partners within households, and a better accounting of women's work to include invisible production.Health Monitoring&Evaluation,Environmental Economics&Policies,Primary Education,Population&Development,Health Economics&Finance

Child labor and school enrollment in Thailand in the 1990s

This report examines the situation of child labor in Thailand in the last decade. It finds that child labor has decreased significantly, for example, the labor force participation rates of those aged 13-14 years has almost halved since 1990. Despite this decline, 1.6 million children below the age of 16 are out of school of whom 1.2 million are between 12 and 14 years. Most of them are from poor families. Many face harsh conditions of employment that adversely affect their physical and mental development and can lock them into poverty in the future thus perpetuating a vicious cycle. Empirical analysis suggests that at younger ages (below 14) direct education costs deter school attendance. As the child gets older, income effects become more important determinants of child labor than the costs of education. This report examines what incentives the household can be provided with to keep children in school, the role of public education, and what can be done in the labor market through additional measures for those children who, notwithstanding the previous two interventions, will continue to be at work. Education subsidies are found to be justifiedfrom a social policy point of view: indeed there is a failure in the market for education/child labor. However, subsidies alone will not reduce child labor/increase education by much. Rather, public support to basic education should continue along with policies that enhance growth and reduce poverty.Health Monitoring&Evaluation,Youth and Governance,Street Children,Primary Education,Gender and Education

World Bank lending for labor markets : 1991 to 1996

This report serves as a conceptual background piece for the development of the Social Strategy Paper (SSP). To develop the conceptual underpinnings, the objectives and instruments of strategy papers (SP) are viewed under the rubric of Social Risk Management (SRM). SRM consists of public measures intended to assist individuals, households, and communities in managing income risks in order to reduce vulnerability, improve consumption smoothing, and enhance equity while contributing to economicdevelopment in a participatory manner. To support the approach and its logic, the structure of this note is as follows: Chapter 2 sets the stage and presents global trends, definitions, and outlooks. Chapter 3 presents key issues of SRM, from the reasons for World Bank concern to a typology of strategies and instruments, and ends with the role of the main actors. Chapter 4 focuses on the boundaries of SP/SRM and on three key policy issues to balance equity, efficiency, and political sustainability. Chapter 5 ends with a preliminary list of ways in which the new framework may affect our view of SP and the development of better instruments.Health Monitoring&Evaluation,Banks&Banking Reform,Labor Standards,Health Economics&Finance,ICT Policy and Strategies

The Global Child Labor Problem: What Do We Know and What Can We Do?

The problem of child labor has gone beyond being viewed as a matter of regional and intra-national concern to one of international debate and possible global 'persuasion' and policy intervention. It is argued in this paper that, in crafting policy for mitigating this enormous problem of our times, it is important to acquire a proper theoretical and empirical understanding of the phenomenon. What gives rise to child labor and what are its consequences? What are the interventions that we can think of in order to end child labor without hurting children? A well-meaning but poorly designed policy can exacerbate the poverty that these laboring children face and even bring them to starvation. The present paper surveys the large and rapidly growing literature on this subject, focusing mainly on the new literature that uses the best of modern economic theory and econometrics. We then go on to discuss some of the broad policy implications of these new findings and hope that this will contribute to better-informed discussion and policy design in this area.