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In the academic world, there are also gender inequalities, which are especially visible in certain masculinized STEM areas, such as physics and mathematics. An essential factor in correcting these inequalities is the involvement of men, who should act as "allies" in the university setting. Likewise, as the literature shows us, we must offer models with gender-incongruent roles to break down stereotypes and promote non-traditional behaviors. However, to date, these actions have been especially directed toward women, who generally do not hold power and therefore have less possibility of promoting change. For the first time, this work compiles, in a single document, important male physicists and mathematicians who acted as allies of women throughout history. These examples can be presented to provide male references in the teaching of physics and mathematics at university (and high school). With this initiative, we intend to contribute to incorporating the gender perspective in university teaching, since, in practice, university professors are unaware of references of alternative masculinities in the academic world. We hope that this article will be the seed to recover hidden male allies in these and other scientific fields. This can help break down stereotypes, and contrary to previous actions, this work is especially directed toward men. [ABSTRACT FROM AUTHOR]

In the academic world, there are also gender inequalities, which are especially visible in certain masculinized STEM areas, such as physics and mathematics. An essential factor in correcting these inequalities is the involvement of men, who should act as “allies” in the university setting. Likewise, as the literature shows us, we must offer models with gender-incongruent roles to break down stereotypes and promote non-traditional behaviors. However, to date, these actions have been especially directed toward women, who generally do not hold power and therefore have less possibility of promoting change. For the first time, this work compiles, in a single document, important male physicists and mathematicians who acted as allies of women throughout history. These examples can be presented to provide male references in the teaching of physics and mathematics at university (and high school). With this initiative, we intend to contribute to incorporating the gender perspective in university teaching, since, in practice, university professors are unaware of references of alternative masculinities in the academic world. We hope that this article will be the seed to recover hidden male allies in these and other scientific fields. This can help break down stereotypes, and contrary to previous actions, this work is especially directed toward men.

Faced with the mathematical possibility of non-Euclidean geometries, 19th Century geometers were tasked with the problem of determining which among the possible geometries corresponds to that of our space. In this context, the contribution of the Belgian philosopher-mathematician, Joseph Delboeuf, has been unduly neglected. The aim of this essay is to situate Delboeuf's ideas within the context of the philosophies of geometry of his contemporaries, such as Helmholtz, Russell and Poincaré. We elucidate the central thesis, according to which Euclidean geometry is given special status on the basis of the relativity of magnitudes, we uncover its hidden history and show that it is defensible within the context of the philosophies of geometry of the epoch. Through this discussion, we also develop various ideas that have some relevance to present-day methods in gravitational physics and cosmology., (Copyright © 2024 The Author(s). Published by Elsevier Ltd.. All rights reserved.)

A trained physicist, Kurd Lasswitz (1848-1910) is best known as a novelist, the father of modern German science fiction, and as a historian of science, the initiator of the modern historiography of atomism. In the late 19th century, Lasswitz engaged in an intense dialogue with the emerging Marburg school of neo-Kantianism, contributing to shaping most of its defining tenets. By the end of the decade, this research had grown into a two-volume Geschichte der Atomistik (1890), which remains the most successful example of neo-Kantian historiography of science. Lasswitz combined attention to historical detail with the search for the intellectual tools (Denkmittel) without which the 'fact of science' would be impossible. In particular, Lasswitz regarded Huygens' kinetic atomism as a historical model of a successful scientific theory, shaped by the interplay of two conceptual tools: (a) substantiality, the requirement for identity of the subject of motion through time, which found its scientific expression in the extensive atom; (b) variability, the intensive tendency to continue in an instant, which found its conceptual fixation in the notion of 'differential'. By raising the problem of individuality in physics, Lasswitz offers a unique perspective on the utilization of the history of science in 19th-century neo-Kantian thought., (Copyright © 2024 The Author(s). Published by Elsevier Ltd.. All rights reserved.)

Prof. P. Venkataramaiah (P.V.), born on July 08, 1937, has been active in research for the past five decades in several areas of Nuclear Physics and Environmental Sciences. He has visited several Universities and research institutes in various countries such as Japan, Hong Kong, Singapore, France, the UK, Canada and the USA. Apart from research work he has also held many administrative positions and made revolutionary improvements in the education sector of India. Even after retirement, Prof. P.V. has actively involved himself inspiring and encouraging the younger generation at secondary level. As an honour for his untiring dedication even in his eighties, his colleagues and students have written articles about his contributions to research and education. This include contributions from Prof. P.V. himself along with Prof. K.S. Mallesh, Prof. N. Nagaiah, Prof. S.A. Bari, Prof. M. Venkateshwaralu, Shri. M. Vasudev, Dr K. Nagaraja, Mrs. Sreemathi Hariprasad and Dr N. Bhagyalakshmi., (© The Author(s) 2024. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oup.com.)

ABSTRACT This paper is divided into a surveying and argumentative part and a slightly longer documentary part, which is meant to verify or at least make more plausible claims made in the first part. The first part deals in broad outline with the relationship of Frank and von Mises to the Vienna Circle of Logical Empiricism on the one hand and to the physicists and mathematicians in the German-speaking world on the other. The varying special positions, partly the non-conformity of the two Austrian scientists are emphasized, in particular, their adherence to Ernst Mach's epistemology and their shared interest in probability theory and applied mathematics. The impact of emigration and the after-effects in the U.S. are discussed. This leads to new insights into the fine structure of the Vienna Circle and the latter's relationship to German academia within 'Weimar Culture'. P. Forman's interpretation (1971) of von Mises' position is critically discussed. The second, documentary part, uses recently discovered correspondence between Frank and von Mises, and, to a lesser extent, von Mises' personal diary. It aims at further substantiating some of the introductory theses and will at the same time provide material for a thorough biographical appreciation of the two scholars and friends.

This paper provides a conceptual history of the development of early universe particle physics in the 1970s, focusing on the development of more sophisticated tools for constructing gauge-theories at finite-temperature. I start with a focus on early investigations into spontaneous symmetry restoration, and continue through the development of functional methods up to equilibrium finite-temperature field theory. I argue that the early universe provides an ideal setting for integrated modelling of thermal, gravitational, and particle physics effects due to its relative simplicity. I further argue that the development of finite-temperature field theory played an important secondary role in the rise of the effective field theory worldview, and investigate the status of the analogies between phase transitions in particle physics and condensed matter physics. I find that the division into "formal" versus "physical" analogies is too coarse-grained to understand the important physical developments at play., (Copyright © 2024 The Author(s). Published by Elsevier Ltd.. All rights reserved.)

This study aims to develop and produce a physics history textbook based on higher order thinking skills (HOTS). This research was a development research which consists of four stages, namely: the determination stage, design, development, and dissemination. The success of the indicators of this research were seen from the feasibility of the developed textbooks. Physics history textbook based on higher order thinking skills was categorized as good and suitable for use, in terms of content, presentation, and language feasibility. Meanwhile, in terms of textbook effectiveness, it was measured by the impact of increasing students' higher order thinking skills as seen from the increase in N-gain.ÃÂ The student's high-order thinking skills had increased with N gain 0.4 (moderate category). This shows that the textbooks that have been developed are feasible and effective in terms of the ability to increase higher-order thinking skills (HOTS).

This essay focuses on Mario Ageno (1915-1992), initially director of the physics laboratory of the Italian National Institute of Health and later professor of biophysics at Sapienza University of Rome. A physicist by training, Ageno became interested in explaining the special characteristics of living organisms origin of life by means of quantum mechanics after reading a book by Schrödinger, who argued that quantum mechanics was consistent with life but that new physical principles must be found. Ageno turned Schrödinger's view into a long-term research project. He aimed to translate Schrödinger's ideas into an experimental programme by building a physical model for at least a very simple living organism. The model should explain the transition from the non-living to the living. His research, however, did not lead to the expected results, and in the 1980s and the 1990s he focused on its epistemological aspect, thinking over the tension between the lawlike structure of physics and the historical nature of biology. His reflections led him to focus on the nature of the theory of evolution and its broader scientific meaning., (© 2024. The Author(s).)

The 20th century witnessed the emergence of many paradigm-shifting technologies from the physics community, which have revolutionized medical diagnostics and patient care. However, fundamental medical research has been mostly guided by methods from areas such as cell biology, biochemistry, and genetics, with fairly small contributions from physicists. In this Essay, I outline some key phenomena in the human body that are based on physical principles and yet govern our health over a vast range of length and time scales. I advocate that research in life sciences can greatly benefit from the methodology, know-how, and mindset of the physics community and that the pursuit of basic research in medicine is compatible with the mission of physics. Part of a series of Essays that concisely present author visions for the future of their field.

This essay aims to shed some light on the still common sense of a vocation among scientists. Taking its cue from Paul Forman's analysis of twentieth-century disciplinary science and Emile Durkheim's social view of religions, it suggests that modern scientific communities resemble religious communities in their penchant for transcendence. The essay aims to illustrate this perspective by looking at some developments within the physics discipline since its emergence in the late nineteenth century. One indication for this penchant is the tendency to distance oneself from the material conditions which allowed the discipline to flourish. These utilitarian conditions, industrial as well as material, were seen to pose a threat to the disinterested pursuit of truth. Another is the persistent tendency among theoretical physicists to search for otherworldly, immaterial and unifying foundations., Competing Interests: Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper., (Copyright © 2024 The Author(s). Published by Elsevier Ltd.. All rights reserved.)

This paper attempts an historical analysis of a dream of the physicist George Gamow recorded shortly before his death in 1968. The dream is contextualized through Gamow's extended scientific work and popular scientific efforts, and in light of enduring preoccupations with the notion of a complete science. The analysis extends to an examination of the relationship of the dream to dreaming practices and deliberations apart from Gamow's, as evident in the relationship and collaboration between the physicist Wolfgang Pauli and C. G. Jung.

Ηighlights • Electromagnetic torque on spheres in circularly polarized illumination reviewed. • Humblet-decomposition applied to spin and orbital angular momentum of scattered radiation. • Spin angular momentum of scattered radiation related to Stokes parameters. • Numerical examples from Lorenz-Mie theory for metallic spheres using the Hagen–Rubens approximation. • Orbital angular momentum of scattered radiation can exceed spin angular momentum in Mie theory. • Development of Hagen–Rubens approximation for the complex refractive index of metals reviewed. Abstract When a circularly polarized electromagnetic wave is scattered by an isotropic sphere, Humblet's decomposition from 1943 is helpful for understanding why the axial projection of the spin-angular momentum gives incomplete information concerning the total radiated angular momentum. Humblet asserted that some field angular momentum is orbital angular momentum (OAM). This distinction, applied here to Mie scattering, gives insight into why classical electromagnetic radiation torque is proportional to absorbed power for isotropic spheres. It also reveals the direct measurability (from Stokes parameters) of spin contributions to the radiated angular momentum. This approach is applied to metallic spheres in circularly polarized illumination modeled with Lorenz–Mie theory using the Hagen–Rubens approximation (1903) in which the real and imaginary components of the sphere's refractive index are equal in magnitude. That approximation is often useful for terahertz and lower frequencies. It was helpful to compare a spin efficiency factor Q spin with the canonical scattering efficiency factor Q sca for varying sphere sizes at a fixed frequency. A small-size limiting case Q sca /Q spin = 2 is recovered associated with a common interpretation of electric dipole-related torque. For larger sizes, the OAM contribution increases giving Q sca /Q spin > 2. Van de Hulst's scattering calculations for metal spheres are also reproduced. Dedicated in memory of Seattle Pacific University Professor James H. Crichton (1937–1999). [ABSTRACT FROM AUTHOR]

The organization of the mobile atomic exhibition, Mostra Atomica , designed by the United States Information Service to travel through Italy in 1954-55, had to meet technical, scientific, artistic, and political challenges. The head of the group in charge of the exhibition was architect Peter G. Harnden whose pedigree in the intelligence and training in architecture were an ideal match for leading the unit dedicated to exhibitions. The political sensitivity of the Mostra Atomica also required the intervention of the Italian Ministry of the Interior to guarantee safe mobility and secure shows. In every major town, American and British diplomats attended the local opening ceremony, while the very symbol of science diplomacy was Enrico Fermi, whose recorded message praised international cooperation. All in all, the USIS campaign promoting peaceful applications of nuclear physics was successful in reaching and involving Italian society. Visual and spatial aesthetics were particularly relevant: the geometrical design of the exposition rooms conveyed a strong sense of modernity that contrasted with the artistic heritage of Italian cities. The present article is based on archival files, newspaper reports, and photographs that document who was responsible for planning, setting up, and reporting this Cold War propaganda event.

During the IAEA's Mobile Radioisotope Exhibition (1960-1965) through the eventful roads of five Latin American countries (Mexico, Uruguay, Argentina, Brazil, and Bolivia), a variety of photographs were taken by an unknown Mexican official photographer, and by Josef Obermayer, a staff driver from Vienna. The exhibition carried not only bits of nuclear sciences and technologies, but also the political symbolism of the 'friendly atom' as a token of modernization. The photographs embarked on different trajectories, though all of them ended up at the training and exchange official's desk in charge of the exhibition, Argentinian physicist Arturo Cairo. The ones taken in Mexico also had a local circulation as propaganda intended to promote radioisotope applications. The two sets of images were intended to show the contrast between modernity and traditional society, but they did it from different gazes. Our paper argues that, in the case of Mexico, the photographer reinforced representations of the country which were already popularized by Hollywood for foreign and local audiences. On the other hand, the Viennese photographer's gaze delivers an autoethnography of his dutiful journey. We also argue that Obermayer's projection is one of what Roger Bartra has conceptualized as the 'salvage on the mirror'.

One hundred years ago Karl Wilhelm Bädeker, the discoverer of transparent conductive materials (TCM), transparent conductive oxides (TCO), and transparent semiconductors, died. On this occasion the conference Transparent Conductive Oxides -Fundamentals and Applications (TCO2014) was held at Universität Leipzig. In this paper, Karl Bädeker's life and death are retraced and the discoveries Bädeker made in Leipzig are reviewed and put into perspective. [ABSTRACT FROM AUTHOR]

Scientific progress, or scientific change, has been an important topic in the philosophy and history of science. Previous work has developed quantitative approaches to characterize the progression of science in different fields, but how individual scientists make progress through their careers is not well understood at a comprehensive scale. We characterize the regularity in the temporal dynamics of scientists' publishing behavior with computational algorithms that predict the historical emerging order of publications from individual scientists. We discover that scientists publish in ways following the processes of chaining that mirror those observed in historical word meaning extension, whereby novel ideas emerge by connecting to existing ideas that are proximal in semantic space. We report findings for predominant exemplar-based chaining that reconstructs the emerging order in the publications of 1,164 award-winning and random-sampled scientists from the fields of Physics, Chemistry, Medicine, Economics, and Computer Science over the past century. Our work provides large-scale evidence that scientists across different fields tend to share similar publishing behavior over time by taking incremental steps that build on their past research outputs., Competing Interests: The authors have declared that no competing interests exist., (Copyright: © 2022 Liu, Xu. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.)

This paper explores the significant - albeit little-known - impact that physicist Albert Einstein's theory of relativity had on the development of the science of linguistics. Both Max Talmey, a physician who played a key role in the development of early twentieth-century constructed-language movements, and Benjamin Lee Whorf, who is closely associated with the notion of 'linguistic relativity', drew on their understanding of relativity to develop their ideas (and, in Talmey's case, also on his personal relationship with Einstein). Linguistic relativity, which posits that humans' linguistic categories shape their perceptions of nature, has often been tied to 'relativism' in the social sciences and humanities. In contrast, Talmey's commitment to reformulating the language of Einsteinian relativity - especially through a constructed language he built in the 1920s and 1930s - emphasized the significance of 'invariance' simultaneously in the scientific doctrine and in the language in which it was discussed. The semiotic flexibility of Einstein's 'relativity theory' as it was widely (and wildly) appropriated outside the small community of theoretical physicists enabled the two opposing moves, while obscuring the historical linkage between physics and linguistics for both.

Interviews physicist Lee Alvin DuBridge, who became president of the California Institute of Technology (Caltech) in 1946. Issue on the dispute between faculty member Pauling and the Caltech trustees; Selection of faculty members.

The universal acceptance of atomism in physics and chemistry in the early 20th century went along with an altered view on the epistemic status of microphysical conjectures. Contrary to the prevalent understanding during the 19th century, on the new view unobservable objects could be 'discovered'. It is argued in the present paper that this shift can be connected to the implicit integration of elements of meta-empirical theory assessment into the concept of theory confirmation., (Copyright © 2021 The Author(s). Published by Elsevier Ltd.. All rights reserved.)

Mach's views on the nature of time have been unduly neglected. They are both more defensible in their own historical context and more relevant to our own contemporary context than has been appreciated. This essay provides an extended and comprehensive discussion of Mach's writings on time offering novel analysis and interpretation. Contra the prevailing current in the secondary literature, Mach's views on time are shown to be largely vindicated in the context of late nineteenth century physics. Then, building upon this more historical project, we conclude with a critical evaluation of the modern Machian view of time due to Barbour within the context of relativistic chronometry as instantiated via pulsar clocks and atomic clocks. Once more, considered analysis serves to support the Machian view. About time we go back to Mach., (Copyright © 2021 Elsevier Ltd. All rights reserved.)

We all know that, nowadays, physics and philosophy are housed in separate departments on university campuses. They are distinct disciplines with their own journals and conferences, and in general they are practiced by different people, using different tools and methods. We also know that this was not always the case: up until the early 17th century (at least), physics was a part of philosophy. So what happened? And what philosophical lessons should we take away? We argue that the split took place long after Newton's Principia (rather than before, as many standard accounts would have it), and offer a new account of the philosophical reasons that drove the separation. We argue that one particular problem, dating back to Descartes and persisting long into the 18th century, played a pivotal role. The failure to solve it, despite repeated efforts, precipitates a profound change in the relationship between physics and philosophy. The culprit is the problem of collisions. Innocuous though it may seem, this problem becomes the bellwether of deeper issues concerning the nature and properties of bodies in general. The failure to successfully address the problem led to a reconceptualization of the goals and subject-matter of physics, a change in the relationship between physics and mechanics, and a shift in who had authority over the most fundamental issues in physics., (Copyright © 2021 Elsevier Ltd. All rights reserved.)

This is a contribution towards a history and philosophy of modeling in its early stages in electromagnetism. In 1873, James Clerk Maxwell (1831-1879) hinted at the methodology of modeling at the end of his Treatise on Electricity and Magnetism. We focus on Maxwell's impact on physicists who immediately followed him, specifically Oliver Lodge (1851-1940) and George Francis FitzGerald (1851-1901). We begin with the role that the scientific concept of model played in the late nineteenth century, as assessed by Ludwig Boltzmann (1844-1906). We then discuss the role of hypothesis as a methodology, the appeal to (dynamical) illustration, and the way Maxwell applied model and working model in his studies of electromagnetism. We show that for Maxwell these key terms were kept distinct, but Lodge did not maintain these distinctions and, in this regard, FitzGerald followed Lodge. Notwithstanding Lodge's influence, Fitzgerald modified Maxwell's theory based on the mechanical model he designed, thereby implicitly taking the first step towards modeling. This methodology consists in drawing consequences from the (mechanical) model to the (electrodynamic) theory and modifying the latter in light of the functioning of the former. At the core of our argument is the thesis that it was a methodological novelty to move from the concept of model to the methodology of modeling. The introduction of modeling as a new methodology into physics in the late nineteenth century was a major event which deserves proper recognition., (Copyright © 2021 Elsevier Ltd. All rights reserved.)

This paper discusses, from a mathematician's point of view, the thesis formulated by Israel Gelfand, one of the greatest mathematicians of the 20th century, and one of the pioneers of mathematical biology, about the unreasonable ineffectiveness of mathematics in biology as compared with the obvious success of mathematics in physics. The author discusses the limitations of the mainstream mathematics of today when it is used in biology. He suggests that some emerging directions in mathematics have potential to enhance the role of mathematics in biology., (Copyright © 2021 Elsevier B.V. All rights reserved.)

Few texts in the history of science and philosophy have achieved the level of interpretative indeterminacy as a short manuscript tract by Isaac Newton, known as 'De gravitatione'. On the basis of some new evidence, this article argues that it is an introductory fragment of some lectures on hydrostatics delivered in the of spring 1671. Taking seriously the possibility of a pedagogical purpose, it is then argued that the famous digression on space, far from articulating a sophisticated metaphysics that may have owed something to Henry More, was a simple piece of mixed-mathematical prolegomena designed to facilitate the subsequent geometrical argumentation. In this regard, Newton was doing the same as his mentor, Isaac Barrow, had done in his own mathematical lectures; both drew heavily on the explicitly anti-metaphysical approach of Pierre Gassendi. It is shown that More himself would have almost certainly opposed Newton's approach. The excesses of metaphysical readings of Newton's intentions are challenged; there is no warrant for reading the digression as directly relevant to the Principia .

This paper highlights the significance of sensory studies and psychophysical investigations of the relations between psychic and physical phenomena for our understanding of the development of the physics discipline, by examining aspects of research on sense perception, physiology, esthetics, and psychology in the work of Gustav Theodor Fechner, Hermann von Helmholtz, Wilhelm Wundt, and Ernst Mach between 1860 and 1871. It complements previous approaches oriented around research on vision, Fechner's psychophysics, or the founding of experimental psychology, by charting Mach's engagement with psychophysical experiments in particular. Examining Mach's study of the senses and esthetics, his changing attitudes toward the mechanical worldview and atomism, and his articulation of comparative understandings of sensual, geometrical, and physical spaces helps set Mach's emerging epistemological views in the context of his teaching and research. Mach complemented an analytic strategy focused on parallel psychic and physical dimensions of sensation, with a synthetic comparative approach - building analogies between the retina, the individual, and social life, and moving between abstract and sensual spaces. An examination of the broadly based critique that Mach articulated in his 1871 lecture on the conservation of work shows how his historical approach helped Mach cast what he now saw as a narrowly limiting emphasis on mechanics as a phase yet to be overcome.

We analyse academic success using a genealogical approach to the careers of over 95,000 scientists in mathematics and associated fields in physics and chemistry. We look at the effect of Ph.D. supervisors (one's mentors) on the number of Ph.D. students that one supervises later on (one's mentees) as a measure of academic success. Supervisors generally provide important inputs in Ph.D. projects, which can have long-lasting effects on academic careers. Moreover, having multiple supervisors exposes one to a diversity of inputs. We show that Ph.D. students benefit from having multiple supervisors instead of a single one. The cognitive diversity of mentors has a subtler effect in that it increases both the likelihood of success (having many mentees later on) and failure (having no mentees at all later on). We understand the effect of diverse mentorship as a high-risk, high-gain strategy: the recombination of unrelated expertise often fails, but sometimes leads to true novelty., Competing Interests: The authors have declared that no competing interests exist.

Accounts of how the concept of temperature has evolved typically cast the story as ancillary to the history of the thermometer or the history of the concept of heat. But then, because the history of temperature is not treated as a subject in its own right, modern associations inadvertently get read back into the historical record. This essay attempts to lay down an authoritative record not of what people in the past thought about what we call 'temperature' but of what they thought about what they called 'temperature' (or one of its cognates), from medieval times to today. It is found that invention of the thermometer had little impact on the concept of temperature. Much more significant were Fahrenheit's invention of a reliable instrument and William Thomson's effort to make a degree of temperature a unit of measure. Overlapping definitions of temperature then emerged in the late nineteenth century, and twentieth-century scientific developments forced physicists to reconsider temperature's conceptual boundaries. It turns out that the concept of temperature has evolved through stages that correspond to four increasingly sophisticated types of measurement. Its maturity sheds light on the philosophy of conceptual change.

Scientific and/or technical breakthroughs require the exploration of novel ideas and technologies. Yet, it has not been studied quantitatively how national institutional contexts either facilitate or stifle organizational support for exploration. Available qualitative evidence suggests that institutional contexts that exert weak control over universities and research organizations strengthen their capabilities to achieve scientific breakthroughs, while contexts with strong control constrain them. The paper is based on an analysis of the population of Nobel laureates in Physics, Chemistry and Physiology or Medicine. We examine to what extent existing qualitative findings for the biomedical sciences, which are partly based on Nobel laureates in Physiology or Medicine, can be substantiated both quantitatively and across the three Nobel Prize fields of science. We find that for most of the 20th century and the early 21st century, countries with weak institutional control (United Kingdom, United States) have outperformed those exerting strong control (France, Germany). These results are further corroborated when controlled by population sizes and by GDP per capita. In addition, these results hold not only for the biomedical sciences, but also for Physics and Chemistry. Furthermore, countries with weak institutional control have attracted many future Nobel laureates from countries with strong environments. In this regard, the United States appears to be a particularly attractive setting for conducting innovative research, and thus has been a magnet for young and promising scientists. However, future laureates working in institutional environments exerting weak control are not faster in accomplishing their prize-winning work compared to those laureates working in more restrictive institutional settings., Competing Interests: The authors have declared that no competing interests exist.

This article contributes to a global history of relativity, by exploring how Einstein's theory was appropriated in Belgium. This may sound like a contradiction in terms, yet the early-twentieth-century Belgian context, because of its cultural diversity and reflectiveness of global conditions (the principal example being the First World War), proves well-suited to expose transnational flows and patterns in the global history of relativity. The attempts of Belgian physicist Théophile de Donder to contribute to relativity physics during the 1910s and 1920s illustrate the role of the war in shaping the transnational networks through which relativity circulated. The local attitudes of conservative Belgian Catholic scientists and philosophers, who denied that relativity was philosophically significant, exemplify a global pattern: while critics of relativity feared to become marginalized by the scientific, political, and cultural revolutions that Einstein and his theory were taken to represent, supporters sympathized with these revolutions.

We aimed to assess whether Nobel prizes (widely considered the most prestigious award in science) are clustering in work done in a few specific disciplines. We mapped the key Nobel prize-related publication of each laureate awarded the Nobel Prize in Medicine, Physics, and Chemistry (1995-2017). These key papers mapped in only narrow sub-regions of a 91,726-cluster map of science created from 63 million Scopus-indexed published items. For each key Nobel paper, a median of 435 (range 0 to 88383) other Scopus-indexed items were published within one year and were more heavily cited than the Nobel paper. Of the 114 high-level domains that science can be divided into, only 36 have had a Nobel prize. Five of the 114 domains (particle physics [14%], cell biology [12.1%], atomic physics [10.9%], neuroscience [10.1%], molecular chemistry [5.3%]) have the lion's share, accounting in total for 52.4% of the Nobel prizes. Using a more granular classification with 849 sub-domains shows that only 71 of these sub-domains (8.3%) have at least one Nobel-related paper. Similar clustering was seen when we mapped all the 40,819 Scopus-indexed publications representing the career-long output of all the Nobel laureates. In conclusion, work resulting in Nobel prizes is concentrated in a small minority of scientific disciplines., Competing Interests: KWB is an employee of SciTech, Inc. This does not alter our adherence to PLOS ONE policies on sharing data and materials.

George Gabriel Stokes spent most of his life at the University of Cambridge, where he undertook his undergraduate degree and later became Lucasian Professor of Mathematics and Master of Pembroke College. However, he spent the first 13 years of his life in Skreen, County Sligo, Ireland, a rural area right by the coastline, overlooking the Atlantic Ocean. As this paper will discuss, the time he spent there was short but its influence on him and his research was long reaching, with his childhood activities of walking by and bathing in the sea being credited for first piquing Stokes' interest in ocean waves, which he would go on to write papers about. More generally, it marked the beginning of an interest in fluid dynamics and a curious nature regarding natural phenomena in his surroundings. Stokes held a special affinity for the ocean for the rest of his life, constantly drawing inspiration for it in his mathematical and physical studies and referencing it in his correspondences. This commentary was written to celebrate Stokes' 200th birthday as part of the theme issue of Philosophical Transactions A . This article is part of the theme issue 'Stokes at 200 (Part 1)'.

Despite Carl Gustav Jung's acknowledgment of Albert Einstein's influence on his thinking, and despite the significant number of studies about Jung's interest in physics-and his collaboration with the theoretical physicist Wolfgang Pauli-so far there has been no thorough investigation into the connection between Jung and Einstein. This paper fills the void by reconstructing the circumstances of the meetings between the two men; by analysing the dynamics and importance of their relationship and by offering insights into the reasons why the connection did not last. The reconstruction of the narrative of this connection serves as a good foundation for future research into Einstein's intellectual influence on Jung., (© 2019 Wiley Periodicals, Inc.)

D'Arcy Wentworth Thompson's "Science of Form" - the explanation of biological development and morphology through physical forces and mathematical laws - has traditionally been viewed as an idiosyncratic, even heretical, episode in the history of evolutionary biology. Yet recent scholarship has sought to overturn this view by demonstrating that Thompson was active in contemporary scientific networks. This paper argues that a key influence upon Thompson's seminal work, On Growth and Form (1917), may be far more practical, and lie closer to home, than previously realised: experimental demonstrations of basic concepts in physics. Harnessing previously unpublished archival sources, this paper traces Thompson's correspondence with Charles Darling, Arthur Worthington and Cecil Warburton. In these exchanges, Thompson described his own experiments, or requested that experiments be conducted on his behalf. This correspondence, and its subsequent inclusion in the first edition of On Growth and Form, revises our current picture of Thompson from that of an abstract thinker to keen experimentalist. Moreover, his contact with physicists indicates that simple experiments enabled extensive crosstalk between early twentieth century physics and biology., (Copyright © 2019 Elsevier Ltd. All rights reserved.)

We are used to thinking of mathematics as a symbolic activity. Here I argue that it may also be seen as a performative one. Making an analogy with music, I draw attention to the ways in which mathematics may not only be written down but also played out., (© 2019 New York Academy of Sciences.)

It is common to assume that Descartes did not have a conception of an object's matter density independently of its size, but this is a rather incomplete assessment of the early modern natural philosopher's theory. Key to our understanding of Descartes's physics is a consideration of the ratios between the quantities of the different types of matter in which an object consists. As these ratios determine the degree of an object's porosity and elasticity, they also affect in Descartes's theory the phenomena of gravity and weight.