Unification Achieved: William Cullen’s Theory of Heat and Phlogiston as an example of his Philosophical Chemistry

William Cullen, lecturer in chemistry at Glasgow and Edinburgh Universities, spent many years formulating his own theory of heat and combustion, the most developed version of which appears in a little-known set of lecture notes of 1765. Cullen's theory is of particular interest to historians of chemistry as an example of his ideal of ‘philosophical chemistry’, an autonomous branch of natural philosophy distinct from the mechanical philosophy, with its own general laws and explanations of phenomena justified by observation. The theory assimilated Joseph Black's recent discovery of fixed air as well as Cullen's investigations of the generation of heat in chemical operations. It was formulated just one year before British chemists' sudden identification of new ‘airs’ was dramatically to change the field of phlogiston theory. The theory differs in important ways from any version yet discussed. It successfully brought both heat and elective attraction within its explanatory domain. It set out a causal hierarchy which reversed the usual pattern evinced in earlier sets of lecture notes, subordinating the mechanical to the chemical in the form of Cullen's theory of elective attraction. The paper argues that Cullen was attempting to bring the study of heat as well as combustion within the bounds of his ‘philosophical chemistry’ by means of his single unifying theory

Dispersion of biased swimming microorganisms in a fluid flowing through a tube

Classical Taylor-Aris dispersion theory is extended to describe the transport of suspensions of self-propelled dipolar cells in a tubular flow. General expressions for the mean drift and effective diffusivity are determined exactly in terms of axial moments, and compared with an approximation a la Taylor. As in the Taylor-Aris case, the skewness of a finite distribution of biased swimming cells vanishes at long times. The general expressions can be applied to particular models of swimming microorganisms, and thus be used to predict swimming drift and diffusion in tubular bioreactors, and to elucidate competing unbounded swimming drift and diffusion descriptions. Here, specific examples are presented for gyrotactic swimming algae.Comment: 20 pages, 4 figures. Published version available at http://rspa.royalsocietypublishing.org/content/early/2010/02/09/rspa.2009.0606.short?rss=

Lunar Science: Using the Moon as a Testbed

The Moon is an excellent test bed for innovative instruments and spacecraft. Excellent science can be done, the Moon has a convenient location, and previous measurements have calibrated many parts of it. I summarize these attributes and give some suggestions for the types of future measurements. The Lunar Scout missions planned by NASA's Office of Exploration will not make all the measurements needed. Thus, test missions to the Moon can also return significant scientific results, making them more than technology demonstrations. The Moon is close to Earth, so cruise time is insignificant, tracking is precise, and some operations can be controlled from Earth, but it is in the deep space environment, allowing full tests of instruments and spacecraft components. The existing database on the Moon allows tests of new instruments against known information. The most precise data come from lunar samples, where detailed analyses of samples from a few places on the Moon provide data on chemical and mineralogical composition and physical properties

Reconciling the CAST and PVLAS Results

The PVLAS experiment has recently claimed evidence for an axion-like particle in the milli-electron-Volt mass range with a coupling to two photons that appears to be in contradiction with the negative results of the CAST experiment searching for solar axions. The simple axion interpretation of these two experimental results is therefore untenable and it has posed a challenge for theory. We propose a possible way to reconcile these two results by postulating the existence of an ultralight pseudo-scalar particle interacting with two photons and a scalar boson and the existence of a low scale phase transition in the theory.Comment: 4 pages, 2 figures; references update

Funding for voluntary sector infrastructure: a case study analysis

This paper outlines the policy context for grant-making to voluntary sector infrastructure organisations, and describes a qualitative research programme undertaken in the UK in which a detailed study of 20 such grants were investigated from multiple perspectives in terms of their perceived impact after the projects had finished. The grants were selected on tightly determined stratification criteria, from a large pool of grants for voluntary sector infrastructure work made by the Community Fund (one of the distributors of funds to “good causes” from the UK National Lottery). Particular emphasis was placed in the study on assessing the impact on other voluntary and community organisations likely to benefit from the support given to infrastructure organisations. The paper concludes that in general terms, grant-making for voluntary sector infrastructure is an effective way of supporting the voluntary and community sector more generally, although there are important lessons both for funders and for grant-recipients to improve the effectiveness of grant-making in this field

Cubic structures, equivariant Euler characteristics and lattices of modular forms

We use the theory of cubic structures to give a fixed point Riemann-Roch formula for the equivariant Euler characteristics of coherent sheaves on projective flat schemes over Z with a tame action of a finite abelian group. This formula supports a conjecture concerning the extent to which such equivariant Euler characteristics may be determined from the restriction of the sheaf to an infinitesimal neighborhood of the fixed point locus. Our results are applied to study the module structure of modular forms having Fourier coefficients in a ring of algebraic integers, as well as the action of diamond Hecke operators on the Mordell-Weil groups and Tate-Shafarevich groups of Jacobians of modular curves.Comment: 40pp, Final version, to appear in the Annals of Mathematic

Everything’s Bigger in Texas: Examining the Mandatory (and Additional) Financial Burden of Postsecondary Education

Student fees remain an under-researched aspect of postsecondary education and finance (Kelchen, 2016). This study examines the mandatory and additional fees charged to full-time, in-state undergraduate students by public and private not-for-profit four-year institutions in Texas (n=96). Findings demonstrate the average four-year institution in Texas charges over $1,500 per academic year in mandatory fees,$500 higher than the national average. Moreover, private institutions charge an average of $1,100 less than publics, while fees comprise 6.8% of the total cost of attendance at private and 29.1% at publics. Institutions of higher education compose fee explanations above the 12th-grade reading level and only 5.2% of the sample provided fee explanations in a language other than English, thus further marginalizing non-English speaking language populations in Texas. Implications for policy makers, practitioners, and future research are addressed.Educatio