Have we lost spacetime on the way? Narrowing the gap between general relativity and quantum gravity

Important features of space and time are taken to be missing in quantum gravity, allegedly requiring an explanation of the emergence of spacetime from non-spatio-temporal theories. In this paper, we argue that the explanatory gap between general relativity and non-spatio-temporal quantum gravity theories might significantly be reduced with two moves. First, we point out that spacetime is already partially missing in the context of general relativity when understood from a dynamical perspective. Second, we argue that most approaches to quantum gravity already start with an in-built distinction between structures to which the asymmetry between space and time can be traced back.     

What were the genuine Banach spaces in 1922? Reflection on axiomatisation and progression of the mathematical thought

This paper provides an analysis of the use of axioms in Banach’s Ph.D. and their role in the progression of Banach’s mathematical thought. In order to give a precise account of the role of Banach’s axioms, we distinguish two levels of activity. The first one is devoted to the overall process of creating a new theory able to answer some prescribed problems in functional analysis. The second one concentrates on the epistemological role of axioms. In particular, the notion of norm completeness, as it appears in Banach’s text, can be interpreted as an epistemic linchpin between several a priori inhomogeneous domains of mathematical thought.

     

Two problems in Aristarchus’s treatise on the sizes and distances of the sun and moon

The book of Aristarchus of Samos, On the distances and sizes of the sun and moon, is one of the few pre-Ptolemaic astronomical works that have come down to us in complete or nearly complete form. The simplicity and cleverness of the basic ideas behind the calculations are often obscured in the reading of the treatise by the complexity of the calculations and reasoning. Part of the complexity could be explained by the lack of trigonometry and part by the fact that Aristarchus appears unwilling to make some simplifications that could be simply taken for granted. But an important part of the complexities is due to some unnecessary inconsistencies, as recently discovered by Berggren and Sidoli (Arch Hist Exact Sci 61:213–254, 2007). In the first part of this paper, I will try to show that some of these inconsistencies are just apparent. But the complexity of the calculations and reasoning is not the only reason that could disturb a reader of the treatise. The great inaccuracy—even for the measurement methods and instruments available at those times—of one of the three input values of the treatise is really astonishing. In the sixth and last hypothesis, Aristarchus states that the moon’s apparent size is equal to 2 $^{\circ }$ , while the correct value is one-fourth of that. Some attempts have been made in order to explain such a big value, but all of them have problems. In the second part of this paper, I will propose a new speculative but plausible explanation of the origin of this value.     

The effects of γ-aminobutyric acid and picrotoxin on the junctional potential and the contraction of crayfish muscle

Résumé L'acide-amino-butyrique et la-alanine reproduisent l'action du transmetteur inhibiteur du système neuromusculaire de l'écrevisse. Ces deux acids aminés diminuent la contraction musculaire. L'acide-amino-butyrique réduit la différence de potentiel et augmente sa décomposition. L'action de ces acides aminés est bloquée par la picrotoxine comme l'est celle du transmetteur inhibiteur.

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The study was supported by Grants B-1089 and B-31 from the National Institute of Neurological Diseases and Blindness, United States Public Health Service. Some of this work was done at the Department of Zoology, Cornell University. We are grateful to Prof.S. C. Wang, Columbia University, for generous assistance.     

Léon Rosenfeld and the challenge of the vanishing momentum in quantum electrodynamics

Léon Rosenfeld published in 1930 the first systematic Hamiltonian approach to Lagrangian models that possess a local gauge symmetry. The application of this formalism to theories with local internal symmetries, such as electromagnetism in interaction with charged matter fields, is valid and complete, and predates by two decades the work by Dirac and Bergmann. Although he provided a group-theoretical justification for gauge fixing procedures that had just been implemented in the first expositions of quantum electrodynamics by Heisenberg and Pauli, and also by Fermi, his contribution went largely unnoticed. This lack of impact seems to be related to a generalized disenchantment with second quantization in the 1930s and 1940s.     

Effects of injury on the concentration ofα 1 andα 2 in the plasmas of male and female rats

Summary The effects of injury on the concentration of ₁-macroglobulin and ₂-macroglobulin in the plasmas of male and female rats has been investigated. At 5 days after injury to the male rats the ₁-macroglobulin concentration increased to 131% of its preinjury value. The ₂-macroglobulin concentration increased more rapidly to a maximum of 86 times its initial value. In the female rats ₂-macroglobulin increased only slightly and ₁-macroglobulin not at all.     

Can We Predict the Financial Markets Based on Google's Search Queries?

We look into the interaction of Google's search queries and several aspects of international equity markets. Using a novel methodology for selecting words and a vector autoregressive modeling approach, we study whether the search queries of finance‐related words can have an impact on returns, volatility of returns and traded volume in four different English‐speaking countries. We identify several words whose search frequency is associated with changes in the dependent variables. In particular, we find that increases in search queries including the word stock predict increased volatility and decreased index returns over the next week. On top of that, we investigate the performance of a market‐timing strategy based on the search frequency of this word and benchmark it against random words from the Word‐Net database and a naive buy‐and‐hold strategy. The results of this empirical application are positive and particularly stronger during the global crisis of 2009. Copyright © 2016 John Wiley & Sons, Ltd.     

Influence of cyproterone acetate on the activity ofβ-glucuronidase in the hypothalamus and cerebral cortex of the male mouse

Summary Daily s.c. injections of cyproterone acetate greatly decrease the protein content and-glucuronidase activity in the mouse hypothalamus. These effects are reversible and the recovery capacity of the animal seems to be inversely related to the duration of antiandrogenic treatment.Financial aid was given by CNR (finalized project Biologia della Riproduzione) and Ministry of Education. Thanks are also due to Prof. G. Chieffi for suggestions and to Mr R. Auriemma for maintenance of experimental animals.     

Albrecht von Haller on academies and the advancement of science: the case of Göttingen

This article approaches eighteenth-century views on scientific academies by examining Haller's utterances, public and private, especially those occasioned by the founding of the Göttingen Society. It deals in turn with his understanding of the distinctive purpose of academies, with his explanation of the chief ways in which they realized this end, with his thoughts on their broader usefulness, and finally with his various reasons for considering close ties with the state to be essential to their productive and harmonious operations.     

Cerivastatin: a cellular and molecular drug for the future?

The 'statin story' began in 1987 when the first-generation, fungal HMG-CoA reductase inhibitor lovastatin received FDA approval in the USA. Ten years later, the sixth compound of this class came onto the world market - the fully synthetic statin cerivastatin. A number of clinical studies had confirmed its high pharmacological efficacy, its excellent pharmacokinetic properties with fast and nearly complete absorption after oral uptake, a linear kinetic over a broad concentration range, and its favorable safety profile. The greatest advantages, of cerivastatin, however, are its lipophilicity, its high bioavailability of about 60% after oral application and its potency at 100-fold lower doses compared to other lipophilic statins. Nevertheless, the most exciting findings are certainly its non-lipid-related, pleiotropic effects at the cellular and molecular level. Statin therapy was also found to reduce mortality in cases where cholesterol levels or atherosclerotic plaque formation remained unaltered. However, cerivastatin improves endothelial dysfunction, possesses anti-inflammatory, antioxidant, anticoagulant, antithrombotic, antiproliferative, plaque-stabilizing, immunmodulatory, and angiogenic effects, and may even prevent tumor growth, Alzheimer's disease, and osteoporosis. Most of these effects seem to be based on the inhibition of isoprenoid synthesis. Although cerivastatin is no longer on the market because of some problematic side effects, it could be one of the most potent cellular and molecular drugs for the future. Received 29 May 2002; received after revision 23 August 2002; accepted 26 August 2002 RID="*" ID="*"Corresponding author.     

Indoleamines and the UV-light-sensitive photoperiodic responses of the melanocyte network: a biological calendar?

The pineal, serotoninergic and pigmented neurons are associated with light-dependent sleep/arousal, serving as a biological clock with a circadian rhythm. This rhythm is maintained by melatonin which serves to recognise the dark phase. The neural network that responds to seasonal variations in day/night length has not been identified. The present study demonstrates that melanocytes in human skin respond to changes in the duration of UV exposure, and can serve as a biological calendar. These responses are mediated by two indoleamines, serotonin and melatonin. Higher melatonin levels correspond to long nights and long days (short UV pulse), while high serotonin levels in the presence of melatonin reflect short nights and long days (long UV exposure). This response recapitulates the sleep/arousal patterns in animals exposed to large variations in day/night cycle that cause changes in coat colour from pure white in winter to complete repigmentation in summer.     

A phenomenological solution to the measurement problem? Husserl and the foundations of quantum mechanics

The London and Bauer monograph occupies a central place in the debate concerning the quantum measurement problem. Gavroglu has previously noted the influence of Husserlian phenomenology on London's scientific work. However, he has not explored the full extent of this influence in the monograph itself. I begin this paper by outlining the important role played by the monograph in the debate. In effect, it acted as a kind of ‘lens’ through which the standard, or Copenhagen, ‘solution’ to the measurement problem came to be perceived and, as such, it was robustly criticized, most notably by Putnam and Shimony. I then spell out the Husserlian understanding of consciousness in order to illuminate the traces of this understanding within the London and Bauer text. This, in turn, yields a new perspective on this ‘solution’ to the measurement problem, one that I believe has not been articulated before and, furthermore, which is immune to the criticisms of Putnam and Shimony.     

Objectivity, abstraction, and the individual: the influence of Søren Kierkegaard on Paul Feyerabend

This paper explores the influence of Søren Kierkegaard upon Paul Feyerabend by examining their common criticisms of totalising accounts of human nature. Both complained that philosophical and scientific theories of human nature which were methodologically committed to objectivity and abstraction failed to capture the richness of human experience. Kierkegaard and Feyerabend argued that philosophy and the science were threatening to become obstacles to human development by imposing abstract theories of human nature and reality which denied the complexities of both. In both cases, this took the form of asserting an ‘existential’ criterion for the assessment of philosophical and scientific theories. Kierkegaard also made remarks upon the inappropriateness of applying natural scientific methods to human beings which Feyerabend later expanded and developed in his criticisms of the inability of the ‘scientific worldview’ to accommodate the values necessary to a flourishing human life. I conclude by noting some differences between Kierkegaard and Feyerabend’s positions and by affirming the value of existential criticisms of scientific knowledge.     

The effect of γ-irradiation on the amount of 5-hydroxytryptamine in the gut and spleen in the early phase after irradiation

Résumé 24 et 48 h après irradiation- (900 r) la quantité de 5-hydroxytryptamine dans l'intestin du rat n'a pas changé de manière significative. La quantité de 5-hydroxytryptamine dans la rate du rat, exprimée par g de tissu frais a augmenté. Le prétraitement avec de la cystéamine abaisse nettement la quantité de 5-hydroxytryptamine dans la rate, après l'irradiation.