• Volume 26, Issue 1

January 2021,   pages  1-160

• General Editorial on Publication Ethics

• Editorial

• Science Smiles

• Stephen Hawking (1942–2018)

Stephen Hawking, born on 8 January 1942, at Oxford in an academic family, had an early aptitude and inclination towards science. He studied physics and chemistry at the university in Oxford, though he seems not to have excelled as a student, instead spending much of his time at the college boat club! He went to Cambridge for his PhD hoping to study cosmology with Fred Hoyle, but instead was assigned to Dennis Sciama who proved to be an important inﬂuence on him. It was at this time that Hawking was diagnosed with ALS or Lou Gehrig’s disease – a degenerative motor neuronal disorder. Though he was given only a couple of years to live at age 22 or so, his disease progressed slower than predicted. Hawking overcame an initial depression to plunge fully into his research soon making a mark for himself, winning the prestigious Adams Prize in 1966, for his thesis work on singularities in Einstein’s theory of gravity. He remained at Cambridge as a Fellow of Caius and Gonville College for much of his research career, except for a stint as the Sherman Fairchild Distinguished Professor at Caltech, USA, from 1970 to 1975. He was elected at age 32 as a Fellow of the Royal Society of London and in 1979 appointed to the celebrated Lucasian Professorship of Mathematics (held by Newton, Babbage, Dirac and others) at Cambridge. He held this post till his retirement in 2009.

• Recent Progress on the Black Hole Information Paradox: Computation of the Page Curve

We give a brief overview of the black hole information problem and describe qualitatively the recent research that shows that the von Neumann entropy of Hawking radiation follows the Page curve, and hence is consistent with unitary, information-preserving time evolution.

• Of Light and Shadows: Raychaudhuri’s Equation, the Big Bang and Black Holes

Einstein’s genius and penetrating physical intuition led to the general theory of relativity, which incorporates gravity into the geometry of spacetime. However, the theory of general relativity leads to perspectives which go far beyond the vision of its creator. Many of these insights came to light only after Einstein’s death in 1955. These developments were due to a new breed of relativists, like Penrose, Hawking and Geroch, who approached the subject with a higher degree of math-ematical sophistication than earlier workers. Some of these insights were made possible because of work by Amal Kumar Raychaudhuri (AKR) who derived an equation which turned out to be a key ingredient in the singularity theorems of general relativity. This article explains AKR’s work in elementary terms.

• Body Size Matters in the Lives of Organisms

Body size, arguably the most important attribute of all organisms in the living world, is a reliable predictor of their physiological rates and life-history attributes. Metabolic rates of all organisms ($MR$) are related directly to their body mass ($M$) as an allometric function $MR = \alpha M \frac{3}{4}$ (Kleiber’s rule). The high, mass-speciﬁc metabolic rates of small animals can be accounted for by their high surface area/volume ratios. The much-discussed ‘metabolic theory of ecology’ is essentially an expansion of Kleiber’s rule equation to include two additional metabolism-inﬂuencing factors—temperature and resource availability—with a more generalized quarter-power exponent. According to this theory, many physiological rates, life-history traits and ecological processes follow quarter-power scaling laws. Living organisms must also obey the laws of physics. The relative importance of diﬀerent physical forces to the organisms living on land or in water is also dependent on their body size.

• Priyadaranjan Ray: Contributions to Chemical Science

Prof. Priyadaranjan Ray’s contribution to inorganic chemistry and related disciplines is enormous. His work on the elucidation of valency and structure of coordination compounds through magnetic measurements, proposition of Ray–Dutt twist mechanism and the discovery of inner metallic complexes of higher than second-order made him internationally famous. He ﬁrst reported the two ligand isomers of thiosulphate ion and designed several organic reagents for the detection and estimation of metal ions. Stabilization of unusual oxidation state of metal ions through coordination with suitable ligand was also his important work. Besides science, he was interested in its history. Scientiﬁc activities as well as a brief life-sketch of this Indian stalwart of science is summarized in this present endeavour.

• Brownian Motion

• How to Design Experiments in Animal Behaviour: 16. Cutting-Edge Research at Triﬂing Cost

I have had multiple aims in writing this series of articles. My primary aim has been to show how simple and innovative experiments can be performed at almost no cost, by nearly anyone, to create signiﬁcant new knowledge. The history of science shows that this is true in most areas of scientiﬁc research, albeit to varying degrees. I have focussed on the ﬁeld of animal behaviour both because I am more familiar with this ﬁeld than others, but also because, the ﬁeld of animal behaviour is especially well-suited for such low-cost research. It has also been my aim, of course, to discuss the princi-ples of ethology (the scientiﬁc study of animal behaviour), through the medium of these experiments. My motivation in writing this series is to bring social prestige to low-cost research, make the practice of science more inclusive and democratic, and empower large numbers of people to become knowledge producers rather than merely remain knowledge consumers. The people I especially have in mind are, less-endowed sections of society, including, but not restricted to, under developed countries, marginalised institutions and individuals, students, the general public, amateurs, and all those with little or no access to large research grants and sophisti-cated laboratory facilities, for whatever reason.Note: Some passages in this article are reprinted from Suggested Readings [4, 5, 15 and 16].

• A Visual Proof: $e \leq A \leq B \Rightarrow AB > BA$

• Can Argumentation be Taught in School?

• Particle Creation by Black Holes

• Science Academies’ Refresher Course on Recent Trends in Molecular Biology Technology–Concepts and Practice 01-14 March 2021

• Science Academies’ Virtual Refresher Course on Taxonomy of Cryptogams their Sustainable Utilization and Conservation in Climate Change

• Inventa Science Magazine

• Ancient Elusive Singers

• # Resonance – Journal of Science Education

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Volume 26 | Issue 1
January 2021