Second Law Violations in Lovelock Gravity for Black Hole Mergers

We study the classical second law of black hole thermodynamics, for Lovelock theories (other than General Relativity), in arbitrary dimensions. Using the standard formula for black hole entropy, we construct scenarios involving the merger of two black holes in which the entropy instantaneously decreases. Our construction involves a Kaluza-Klein compactification down to a dimension in which one of the Lovelock terms is topological. We discuss some open issues in the definition of the second law which might be used to compensate this entropy decrease.Comment: 15 pages, 1 figure, v2 Title change & minor revisions to match published version, v3 fixed accidental deletion of author name

Trends in the Social [Ir]responsibility of American Multinational Corporations: Increased Power, Diminished Accountability

The purpose of this invited essay is to assess the future of the CSR performance of American multinationals in light of several ongoing trends. These trends include companies’ voluntary CSR programs and the global self-regulatory standards for responsible company activities that are developing in almost every industry. Moreover, the decade-long project at the United Nations to identify multinational companies’ responsibilities with respect to international human rights, ultimately spearheaded by Special Representative John Ruggie, has for the first time established global expectations of responsible corporate activity. At the same time, however, legal developments in the United States may be trending in the opposite direction, toward increased power and diminished accountability for corporations. Two legal developments that highlight this counter-trend will frame this discussion. The first, the Supreme Court’s decision in Citizens United v. Federal Election Commission, 558 U.S. 310 (2010) recognizes a constitutional right for corporations to give financial support to a wide range of electioneering activities, including by using corporate funds to pay for and broadcast advertisements for specific candidates for office. The effect is to allow American companies to further consolidate their already substantial political power. The second, the opinion by the U.S. Court of Appeals for the Second Circuit in Kiobel v. Royal Dutch Petroleum, 621 F.3d 111 (2d Cir. 2010), reh’g en banc denied, 642 F.3d 379 (2011), aff’d, 569 U.S. __ , 133 S. Ct.1659(Apr. 17, 2013), denied the possibility of corporate liability under the Alien Tort Statute for Royal Dutch Shell’s employees’ alleged violations of Nigerian community members’ international human rights. A 2-1 majority held instead that violations of international law could only be asserted against natural persons or nations. The Supreme Court granted certiorari and in a decision handed down on April 17, 2013, the Court unanimously affirmed the judgment of the Second Circuit. The five-Justice opinion of the Court held that the ATS cannot be used to redress violations of the law of nations that occur outside the territory of the United States, except in exceptional circumstances not found in Kiobel. Neither the majority opinion nor the concurrence addressed the corporate liability issue, which means that the Second Circuit’s ruling on that issue remains the law of the Second Circuit — an important outcome, given the significance of the Second Circuit as a venue for ATS cases. Taken together, the overall effect of the Second Circuit’s rejection of corporate liability for human rights violations and the Supreme Court’s rejection of exterritorial application of the ATS to any defendant, corporate or otherwise, is the substantial evisceration of companies’ legal accountability for international human rights violations under the ATS. On a theoretical level, these decisions send mixed messages about corporate personhood and identity. But on a practical level, the two decisions work in unfortunate concert to increase the already considerable political power of U.S. corporations at home, even as they reduce the risk of legal accountability for their actions abroad. By doing so, they shrink the shadow of the law — the threat of hard legal regulation — that has been an important incentive to the adoption of voluntary, soft-law CSR standards. Thus, these legal developments, though ostensibly unrelated to the voluntary pursuit of CSR activity, may in fact act as a disincentive to that activity

Complete positivity and thermodynamics in a driven open quantum system

While it is well known that complete positivity guarantees the fulfilment of the second law of thermodynamics, its possible violations have never been proposed as a check of the complete positivity of a given open quantum dynamics. We hereby consider an open quantum micro-circuit, effectively describable as a two-level open quantum system, whose asymptotic current might be experimentally accessible. This latter could indeed be used to discriminate between its possible non-completely positive Redfield dynamics and a completely positive one obtained by standard weak-coupling limit techniques, at the same time verifying the fate of the second law of thermodynamics in such a context.Comment: 28 pages, 8 figures, LaTe

The Rotating Quantum Vacuum

We derive conditions for rotating particle detectors to respond in a variety of bounded spacetimes and compare the results with the folklore that particle detectors do not respond in the vacuum state appropriate to their motion. Applications involving possible violations of the second law of thermodynamics are briefly addressed.Comment: Plain TeX, 10 pages (to appear in PRD

The Gains from Improved Market Efficiency: Trade Before and After the Transatlantic Telegraph

This paper looks at the gains from improved market efficiency in long-distance grain trade in the second half of the 19th century when violations of the law of one price were reduced due to improved information transmission. Two markets, a major export centre, Chicago, and a major importer, Liverpool, are analyzed. We show that there was a law of one price equilibrium throughout the period but that markets displayed spells of demand- or supply-constrained trade when the law of one price was violated. Over time adjustments back to equilibrium, as measured by the half-life of a shock, become faster, violations of the law of one price become smaller and hence less persistent. There were also significant gains from improved market efficiency but that improvement took place after the information ‘regime’ shifted from pre-telegraphic communication to a regime with swift transmission of information in an era which developed a sophisticated commercial press and telegraphic communication. Improved market efficiency probably stimulated trade more than falling transport costs.market integration; error correction; law of one price

Observer and Particle Transformations and Newton's Laws

A frequently confused point in studies of symmetry violation is the distinction between observer and particle transformations. In this work, we consider a model in which a coefficient in the Standard-Model Extension leads to violations of rotation invariance in Newton's second law. The model highlights the distinction between observer and particle transformations.Comment: Presented at the Sixth Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, June 17-21, 201