Misner (1973), Charles W, and Kip S Thorne, John Archibald Wheeler, Gravitation, Freeman 1973 Jacket: 'Einstein's description of gravitation as curvature of spacetime led directly to that greatest of all predictions of his theory, that the universe itself is dynamic. Physics still has far to go to come to terms with this amazing fact and what it means for man and his relation to the universe. John Archibald Wheeler. . . . this is a book on Einstein's theory of gravity. . . . ' 
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Polanyi (1966, 2009), Michael, and Amaryta Sen (foreword), The Tacit Dimension, University Of Chicago Press 1966, 2009 Amazon product description: '“I shall reconsider human knowledge by starting from the fact that we can know more than we can tell,” writes Michael Polanyi, whose work paved the way for the likes of Thomas Kuhn and Karl Popper. The Tacit Dimension argues that tacit knowledge—tradition, inherited practices, implied values, and prejudgments—is a crucial part of scientific knowledge. Back in print for a new generation of students and scholars, this volume challenges the assumption that skepticism, rather than established belief, lies at the heart of scientific discovery.' 
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Allyn Jackson (2022), Dear Julia, Dear Yuri: A mathematical correspondence: Hilbert's 10th problem, ; Julia Robinson was 50 years old when she learned that Yuri Matiyasevich had resolved Hilbert’s Tenth Problem. He was just 22; she had been pondering the problem almost since the time of his birth. In the letter quoted above she conveyed her ecstatic response to his achievement. The notes about the proof were sketchy, but long experience with Hilbert’s Tenth Problem allowed her to quickly fill in the details — and also to see just how close she herself had come to solving this iconic problem.' back

Annie Karnie & Ruth Graham, Archbishop Bars Pelosi From Communion Over Abortion Stance, ' WASHINGTON — An ultraconservative archbishop in San Francisco said on Friday that Speaker Nancy Pelosi of California would not be permitted to receive communion in his archdiocese because of her support for abortion rights. Archbishop Salvatore J. Cordileone, who has repeatedly confronted Ms. Pelosi over abortion, said in a letter on Friday that until Ms. Pelosi was willing to “publicly repudiate” her position defending the “legitimacy of abortion,” she would be banned from the sacrament, a central element of Catholic worship. “After numerous attempts to speak with Speaker Pelosi to help her understand the grave evil she is perpetrating, the scandal she is causing” and “the danger to her own soul she is risking, I have determined that she is not to be admitted to Holy Communion,” Archbishop Cordileone said on Twitter on Friday.' back

Aquinas, Summa I, 45, 7, Is any trace of the Trinity [vestigium aliquod Trinitatis] to be found in created things?, ' Now the processions of the divine Persons are referred to the acts of intellect and will, as was said above (Article 27). For the Son proceeds as the word of the intellect; and the Holy Ghost proceeds as love of the will. Therefore in rational creatures, possessing intellect and will, there is found the representation of the Trinity by way of image, inasmuch as there is found in them the word conceived, and the love proceeding.' back

Aristotle, Metaphysics XII: vii, The divine life of the prime mover, ' On such a principle, then, depend the heavens and the world of nature. And it is a life such as the best which we enjoy, and enjoy for but a short time (for it is ever in this state, which we cannot be), since its actuality is also pleasure. . . . Therefore the possession rather than the receptivity is the divine element which thought seems to contain, and the act of contemplation is what is most pleasant and best. If, then, God is always in that good state in which we sometimes are, this compels our wonder; and if in a better this compels it yet more. And God is in a better state. And life also belongs to God; for the actuality of thought is life, and God is that actuality; and God's self-dependent actuality is life most good and eternal. We say therefore that God is a living being, eternal, most good, so that life and duration continuous and eternal belong to God; for this is God.' 1072b14 sqq. back

Ben Saul , How Russia learned from the West’s actions in Iraq, Kosovo, Guantanamo Bay and Palestine, ' Legal solidarity with Ukraine is certainly right but it raises troubling questions about Western double standards, and how this undermines the rules-based international order the West says it champions back

Born rule - Wikipedia, Born rule - Wikipedia, the free encyclopedia, ' The Born rule (also called the Born law, Born's rule, or Born's law) is a law of quantum mechanics which gives the probability that a measurement on a quantum system will yield a given result. It is named after its originator, the physicist Max Born. The Born rule is one of the key principles of the Copenhagen interpretation of quantum mechanics. There have been many attempts to derive the Born rule from the other assumptions of quantum mechanics, with inconclusive results. . . . The Born rule states that if an observable corresponding to a Hermitian operator A with discrete spectrum is measured in a system with normalized wave function (see bra-ket notation), then the measured result will be one of the eigenvalues λ of A, and the probability of measuring a given eigenvalue λ_i will equal <ψ|P_i|ψ> where P_i is the projection onto the eigenspace of A corresponding to λ_i'.' back

Deepak Ray, A shrinking fraction of the world’s major crops goes to feed the hungry, with more used for nonfood purposes, ' In a newly published study, my co-authors and I estimate that in 2030, only 29% of the global harvests of 10 major crops may be directly consumed as food in the countries where they were produced, down from about 51% in the 1960s. We also project that, because of this trend, the world is unlikely to achieve a top sustainable development goal: ending hunger by 2030. Another 16% of harvests of these crops in 2030 will be used as feed for livestock, along with significant portions of the crops that go to processing. This ultimately produces eggs, meat and milk – products that typically are eaten by middle- and upper-income people, rather than those who are undernourished. Diets in poor countries rely on staple foods like rice, corn, bread and vegetable oils.' back

Duckett, Wakerman & Burgess, First Nations people in the NT receive just 16% of the Medicare funding of an average Australian, ' Medicare, Australia’s universal health insurance scheme, provides financial protection against the cost of medical bills, and makes public hospital care available without any charge to the patient. For the large majority of Australians in urban settings, it is a brilliant system – providing subsidised access to care. But subsidised access is only useful for those who have access. If there is no doctor nearby, there is nothing to subsidise. And what’s worse, there is no effective policy to redress the inequity that payments flow to areas where there are doctors. In our recently published paper, we found NT residents receive roughly 30% less Medicare funding per capita than the national average (A$648 compared with A$969). The gap is worse for First Nations Australians in the NT, who attract only 16% of the Medicare funding of the average Australian.' back

(ε, δ)-definition of limit - Wikipedia, (ε, δ)-definition of limit - Wikipedia, the free encyclopedia, 'In calculus, the (ε, δ)-definition of limit ("epsilon-delta definition of limit") is a formalization of the notion of limit. It was first given by Bernard Bolzano in 1817. Augustin-Louis Cauchy never gave an (ε, δ) definition of limit in his Cours d'Analyse, but occasionally used ε, δ arguments in proofs. The definitive modern statement was ultimately provided by Karl Weierstrass.' back

Federica Marsi, Can Ukraine hold Russia accountable for environmental crimes?, ' As forensic investigators in Ukraine uncover evidence of killings that may amount to war crimes, experts of a different kind are at work to document the effect of Russia’s war on the environment. Ukraine’s ministry in charge of environmental protection said in a briefing last month that destroyed military equipment and ammunition, as well as exploded missiles and air bombs, pollute the soil and groundwater with chemicals, including heavy metals.' back

Guo Rui, Chinese Communist Party warns retired members not to make ‘negative’ political comments, ' The Chinese Communist Party has banned retired cadres from making “negative political speeches” in the run-up to a major leadership reshuffle later this year. . . . The statement called for all party departments to ensure that retired cadres and party members “listen to the party and follow the party” and warned that “violations of disciplinary rules should be dealt with seriously”. An unnamed spokesperson for the Central Organisation Department told Xinhua that the new rules are a response to some party members committing disciplinary offences after retirement.' back

Haaretz Editorial, Editorial | Police Violence at Palestinian Journalist's Funeral Is Israel's Mark of Cain , ' The events during Friday’s funeral procession of Al Jazeera journalist Shireen Abu Akleh, who was shot to death last week during clashes between IDF soldiers and Palestinians in the Jenin refugee camp, are a mark of Cain on Israel. During the funeral procession, police confiscated Palestinian flags from mourners and struck her pallbearers with batons. One video shows dozens of police running toward pallbearers and dispersing them with batons, almost leading them to drop the coffin. The police dishonored Abu Akleh’s memory, showed zero respect for the mourners and turned the funeral into a mess that should put all Israelis to shame. Even if some people rioted at the funeral, the police’s job is to lower the flames, not raise them.' back

John Baez & Emory Bunn (2006), The Meaning of Einstein's Equation , ' Abstract: This is a brief introduction to general relativity, designed for both students and teachers of the subject. While there are many excellent expositions of general relativity, few adequately explain the geometrical meaning of the basic equation of the theory: Einstein's equation. Here we give a simple formulation of this equation in terms of the motion of freely falling test particles. We also sketch some of the consequences of this formulation and explain how it is equivalent to the usual one in terms of tensors. Finally, we include an annotated bibliography of books, articles and websites suitable for the student of relativity.' back

Kazunori Akiyama et al (2022, II), First Sagittarius A* Event Horizon Telescope Results. II. EHT and Multiwavelength Observations, Data Processing, and Calibration, ' Abstract We present Event Horizon Telescope (EHT) 1.3 mm measurements of the radio source located at the position of the supermassive black hole Sagittarius A* (Sgr A*), collected during the 2017 April 5–11 campaign. The observations were carried out with eight facilities at six locations across the globe. Novel calibration methods are employed to account for Sgr A*'s flux variability. The majority of the 1.3 mm emission arises from horizon scales, where intrinsic structural source variability is detected on timescales of minutes to hours.' back

Kazunori Akiyama et al (2022, V), First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole, ' Abstract In this paper we provide a first physical interpretation for the Event Horizon Telescope's (EHT) 2017 observations of Sgr A*. Our main approach is to compare resolved EHT data at 230 GHz and unresolved non-EHT observations from radio to X-ray wavelengths to predictions from a library of models based on time-dependent general relativistic magnetohydrodynamics simulations, including aligned, tilted, and stellar-wind-fed simulations; radiative transfer is performed assuming both thermal and nonthermal electron distribution functions.' back

Nir Hasson, Analysis | Israeli Police Violence at Al Jazeera Journalist's Funeral Reveals a Deeper Problem , ' There is evidently a problem within the police force. Perhaps one could claim it lies with command and control issues, or in police training and recruitment methods. But in reality, it runs much deeper than that. It lies in the fact that police officers do not view the Palestinians they face as human beings, nor do they feel a need to respect them or their pain. This is a terrible truth – and not just for the Palestinians.' back

Schrödinger equation - Wikipedia, Schrödinger equation - Wikipedia, the free encyclopedia, ' In quantum mechanics, the Schrödinger equation is a partial differential equation that describes how the quantum state of a quantum system changes with time. It was formulated in late 1925, and published in 1926, by the Austrian physicist Erwin Schrödinger. . . . In classical mechanics Newton's second law, (F = ma), is used to mathematically predict what a given system will do at any time after a known initial condition. In quantum mechanics, the analogue of Newton's law is Schrödinger's equation for a quantum system (usually atoms, molecules, and subatomic particles whether free, bound, or localized). It is not a simple algebraic equation, but in general a linear partial differential equation, describing the time-evolution of the system's wave function (also called a "state function").' back

Stephen Bartholomeusz, Putin’s war set to deliver a windfall for BHP, ' Russia’s invasion of Ukraine and the sanctions that it has attracted from the West are disrupting global commodities trading and trade flows. They are also creating opportunities. . . . Between them, Russia, Belarus and Ukraine account for about 37 per cent of the global supply of potassium, 17 per cent of the market for nitrogen and 14 per cent of the market for phosphorous fertilisers. Agricultural productivity and food security – and fertiliser prices – are already being affected by the war and the sanctions. The price of potash, for instance, has rocketed from about $US220 a tonne before the invasion to more than $US560 a tonne.' back

Thomas B. Edsall, The MAGA Formula Is Getting Darker and Darker, ' The chilling amalgam of Christian nationalism, white replacement theory and conspiratorial zeal — from QAnon to the “stolen” 2020 election — has attracted a substantial constituency in the United States, thanks in large part to the efforts of Donald Trump and his advisers. By some estimates, adherents of these overlapping movements make up as much as a quarter or even a third of the electorate. Whatever the scale, they are determined to restore what they see as the original racial and religious foundation of America.' back