A severe earthquake has affected an area surrounded by oil refineries. During the initial response, an accident at a nearby location results in several patients becoming contaminated with oil. All patients are brought to the field hospital and require decontamination. Most patients are only mildly injured, but one suffers airway damage from oil and other hydrocarbons. The patient undergoes advanced airway management and is evacuated to a local hospital. The other patients are treated and released.

This chapter considers the analog of the time-dependent Hartree–Fock (mean-field) decoupling treated in Part I and extends it to the broken-symmetry phase for superfluid fermions. Two coupled equations for the “normal” and “anomalous” time-dependent single-particle Green’s functions are obtained, which extend to nonequilibrium situations the equations originally obtained at equilibrium by Gor’kov, soon after the BCS original article on the theory of superconductivity. Accordingly, the time-dependent gap (order) parameter is also introduced.

In today’s climate, researchers may feel pressured to always adopt the most complex, cutting-edge research techniques. Although such techniques have advantages, they also have disadvantages. In this chapter, we walk the reader through each stage of the research process: developing research questions and hypotheses, recruiting participants, selecting a study methodology and associated statistics, and disseminating results. At each stage, we compare the relative strengths and weaknesses of what we call “Column A” approaches (i.e., relatively simple, tried-and-true research techniques) versus “Column B” approaches (i.e., newer and more complex techniques). We argue that the best overall solution, both for individual researchers and for the field as a whole, is to adopt a diverse mix of different techniques. Throughout, we consider how open science techniques might potentially aid in achieving a healthy balance between different approaches. We also suggest mechanisms whereby often-expensive Column B approaches could be made more widely accessible.

The rise of public regulation of private law relationships has resulted in a thorny legal landscape across regulated markets shaped by the complex interplay between multiple actors, including legislators, regulatory agencies, and courts, and fraught with tensions between public and private interests. This chapter sets out the book’s purpose, namely, to offer a new theoretical perspective on the relationship between market regulation and private law that is built on the claim that these two forms of legal discourse are two sides of the same coin that can be reconciled with each other. The chapter explains the background to this study and the research design, focusing on the interaction between EU private law as a subset of market regulation and traditional national private law. It begins with a brief account of the growing role of market regulation in the private law domain and then proceeds to identify the core questions that the collision between market regulation and private law gives rise to, which underlie the book. The chapter further explains the novelty of this work in relation to existing literature on private law and regulation, as well as its approach to the subject.

The rise of market regulation in the private law domain has challenged the exclusive role of traditional private law, notably contract and tort law, in governing relations between private parties. At present, well-established private law norms, such as the principle of good faith or a duty of care, increasingly coexist with regulatory standards. This chapter explores the relationship between regulatory standards and private law norms, focusing on how national private law responds and should respond to market regulation with a European origin. It develops three models of the relationship between EU regulatory standards and traditional private law norms relating to the same subject matter – separation, substitution, and complementarity – and discusses their key characteristics, manifestations, and implications. This analysis shows that each of the models strikes a balance between the competing considerations differently, putting more or less weight on the pursuit of the common good or interpersonal justice, legal certainty or individual fairness, and uniformity or diversity. The chapter also assesses these models in terms of their potential to reconcile EU regulatory standards with traditional private law norms and draws out some of the practical implications of this analysis for EU private lawmaking and enforcement.

Fundamental rights increasingly determine the balance between public and private interests within both market regulation and private law, shaping the relationship between these two forms of legal discourse. This chapter takes stock of the case law of national, international, and supranational courts on the horizontal effect of fundamental rights and explores the potential of such rights to contribute to reconciliation between market regulation and private law. It shows that fundamental rights can play a double role in this context. On the one hand, fundamental rights can reinforce the regulatory dimension of private law, prompting courts to rebalance the interests of the parties to private law relationships in the light of public virtues. On the other hand, fundamental rights can enable courts to bring regulatory measures in line with the traditional private law reasoning focused on individual preferences and interpersonal justice. In both instances, courts may step beyond what the EU or national legislators intended to achieve through public regulation in terms of reorienting private law relationships towards the common good or enhancing interpersonal justice. Fundamental rights thus serve as a two-way bridge between market regulation and private law.

Chapter 2 examines three problems in Heidegger’s interpretations of Plato: the impasse of dialogue and dialectic, Heidegger’s disastrous and putatively Platonic politics, and the reductive approach to Plato’s metaphysics. First, I question his critique of Platonic dialectic by showing that it is already built into the matter as well as the way of writing in Plato’s texts. Second, I show that Heidegger’s ontologizing of political themes in Plato’s writings leads him to a catastrophic “ontological politics” wherein ethics and politics in their concrete sense are completely eclipsed by or absorbed into ontology. Third, I show that the interpretations that Heidegger offers to show that Plato allegedly occluded the original sense of truth and distorted the question of Being. A closer look at the relevant passages as well as other passages that Heidegger overlooked reveals a much more dynamic ontology than what Heidegger sees in Platonism understood as metaphysics. The concluding remarks of the chapter sketch the post-Heideggerian directions leading from these three problems to the Platonism of Gadamer, Strauss, and Krüger.

This chapter derives from first principles the time-dependent Gross–Pitaevskii equation, which describes the time-dependent behavior of the condensate wave function associated with the composite bosons that form on the BEC side of the BCS–BEC crossover at sufficiently low temperature. The derivation relies on the Green’s functions method for nonequilibrium problems developed before and explores the assumption that the fermionic chemical potential, associated with the initial preparation of the system at thermodynamic equilibrium, is the largest energy scale in the problem. The relation between the scattering length for composite bosons and the scattering length for the constituent fermions is also discussed.

Relationship science has grown tremendously in the four-plus decades since its inauguration as a distinct social science discipline. Much has been accomplished. A deep, conceptually rich literature has begun to take shape; the field’s methodological toolbox has evolved to the point where specialized tools for studying relationships are well-known and accessible; and the importance of relationships for human health and well-being is firmly established. At the same time, further advances in knowledge and impact will require surmounting several headwinds. We outline these challenges, focusing on four general themes: the need for more cumulative, better integrated core organizing principles; fuller appreciation of the role of context and diverse relationship structures; continuing development of the field’s research methods; and the need to more effectively disseminate its findings into interventions and the public sphere. In our view, the field’s future influence will depend on its ability to meet and capitalize on these challenges.