This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The book presents examples of models that are classical in essence, but can be (...) analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of 'superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an "arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author's earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory. (shrink)

Fast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically evolving systems one can still define a conserved quantum energy. For the fast variables, the energy levels are far separated, such that one may assume these variables to stay in their ground state. This forces them to be entangled, so that, consequently, the slow variables are entangled as well. The fast variables could be the vacuum (...) fluctuations caused by unknown super heavy particles. The emerging quantum effects in the light particles are expressed by a Hamiltonian that can have almost any form. The entire system is ontological, and yet allows one to generate interference effects in computer models. This seemed to lead to an inexplicable paradox, which is now resolved: exactly what happens in our models if we run a quantum interference experiment in a classical computer is explained. The restriction that very fast variables stay predominantly in their ground state appears to be due to smearing of the physical states in the time direction, preventing their direct detection. Discussions are added of the emergence of quantum mechanics, and the ontology of an EPR/Bell Gedanken experiment. (shrink)

Superstring theory is an extension of conventional quantum field theory that allows for stringlike and branelike material objects besides pointlike particles. The basic foundations on which the theory is built are amazingly shaky, and, equally amazingly, it seems to be this lack of solid foundations to which the theory owes its strength. We emphasize that such a situation is legitimate only in the development phases of a new doctrine. Eventually, a more solidly founded structure must be sought.Although it is advertised (...) as a “candidate theory of quantum gravity”, we claim that string theory may not be exactly that. Rather, just like quantum field theory itself, it is a general mathematical framework for a class of theories. Its major flaw could be that it still embraces a Copenhagen view on the relation between quantum mechanics and reality, while any “theory of everything”, that is, a theory for the entire cosmos, should do better than that. (shrink)

Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible.

Standard canonical quantum mechanics makes much use of operators whose spectra cover the set of real numbers, such as the coordinates of space, or the values of the momenta. Discrete quantum mechanics uses only strictly discrete operators. We show how one can transform systems with pairs of integer-valued, commuting operators $P_i$ and $Q_i$ , to systems with real-valued canonical coordinates $q_i$ and their associated momentum operators $p_i$ . The discrete system could be entirely deterministic while the corresponding (p, q) system (...) could still be typically quantum mechanical. (shrink)

Hawking particles emitted by a black hole are usually found to have thermal spectra, if not exactly, then by a very good approximation. Here, we argue differently. It was discovered that spherical partial waves of in-going and out-going matter can be described by unitary evolution operators independently, which allows for studies of space-time properties that were not possible before. Unitarity dictates space-time, as seen by a distant observer, to be topologically non-trivial. Consequently, Hawking particles are only locally thermal, but globally (...) not: we explain why Hawking particles emerging from one hemisphere of a black hole must be 100 % entangled with the Hawking particles emerging from the other hemisphere. This produces exclusively pure quantum states evolving in a unitary manner, and removes the interior region for the outside observer, while it still completely agrees locally with the laws of general relativity. Unitarity is a starting point; no other assumptions are made. Region I and the diametrically opposite region II of the Penrose diagram represent antipodal points in a PT or CPT relation, as was suggested before. On the horizon itself, antipodal points are identified. A candidate instanton is proposed to describe the formation and evaporation of virtual black holes of the type described here. (shrink)

Conventional particle theories such as the Standard Model have a number of freely adjustable coupling constants and mass parameters, depending on the symmetry algebra of the local gauge group and the representations chosen for the spinor and scalar fields. There seems to be no physical principle to determine these parameters as long as they stay within certain domains dictated by the renormalization group. Here however, reasons are given to demand that, when gravity is coupled to the system, local conformal invariance (...) should be a spontaneously broken exact symmetry. The argument has to do with the requirement that black holes obey a complementarity principle relating ingoing observers to outside observers, or equivalently, initial states to final states. This condition fixes all parameters, including masses and the cosmological constant. We suspect that only examples can be found where these are all of order one in Planck units, but the values depend on the algebra chosen. This paper combines findings reported in two previous preprints (G. ’t Hooft in arXiv:1009.0669 [gr-qc], 2010; arXiv:1011.0061 [gr-qc], 2010) and puts these in a clearer perspective by shifting the emphasis towards the implications for particle models. (shrink)

Most attempts at obtaining theories that unify quantum mechanics with general relativity require violation of locality and/or causality to some degree. Here, we suggest that these problems actually are very deep and fundamental; hence they may require reconsideration of both quantum mechanics and general relativity at a very fundamental level. An approach called ‘deterministic quantisation’ is sketched.

Matter interacting classically with gravity in 3+1 dimensions usually gives rise to a continuum of degrees of freedom, so that, in any attempt to quantize the theory, ultraviolet divergences are nearly inevitable. Here, we investigate matter of a form that only displays a finite number of degrees of freedom in compact sections of space-time. In finite domains, one has only exact, analytic solutions. This is achieved by limiting ourselves to straight pieces of string, surrounded by locally flat sections of space-time. (...) Globally, however, the model is not finite, because solutions tend to generate infinite fractals. The model is not (yet) quantized, but could serve as an interesting setting for analytical approaches to classical general relativity, as well as a possible stepping stone for quantum models. Details of its properties are explained, but some problems remain unsolved, such as a complete description of the most violent interactions, which can become quite complex. (shrink)

In the standard formalism of quantum gravity, black holes appear to form statistical distributions of quantum states. Now, however, we can present a theory that yields pure quantum states. It shows how particles entering a black hole can generate firewalls, which however can be removed, replacing them by the ‘footprints’ they produce in the out-going particles. This procedure can preserve the quantum information stored inside and around the black hole. We then focus on a subtle but unavoidable modification of the (...) topology of the Schwarzschild metric: antipodal identification of points on the horizon. If it is true that vacuum fluctuations include virtual black holes, then the structure of space-time is radically different from what is usually thought. (shrink)

A promising strategy for better understanding space and time at the Planck scale, is outlined and further pursued. It is explained in detail, how black hole unitarity demands the existence of transformations that can remove firewalls. This must then be combined with a continuity condition on the horizon, with antipodal identification as an inevitable consequence. The antipodal identification comes with a \ inversion. We claim to have arrived at ‘new physics’, but rather than string theory, our ‘new physics’ concerns new (...) constraints on the topology and the boundary conditions of general coordinate transformations. The resulting theory is conceptually quite non trivial, and more analysis is needed. A strong entanglement between Hawking particles at opposite sides of the black hole is suspected, but questions remain. A few misconceptions concerning black holes, originating from older investigations, are discussed. (shrink)

It is put forward that modern elementary particle physics cannot be completely unified with the laws of gravity and general relativity without addressing the question of the ontological interpretation of quantum mechanics itself. The position of superstring theory in this general question is emphasized: superstrings may well form exactly the right mathematical system that can explain how quantum mechanics can be linked to a deterministic picture of our world. Deterministic interpretations of quantum mechanics are usually categorically rejected, because of Bell’s (...) powerful observations, and indeed these apply here also, but we do emphasize that the models we arrive at are super-deterministic, which is exactly the case where Bell expressed his doubts. Strong correlations at space-like separations could explain the apparent contradictions. (shrink)

This essay explores how it might be possible to recover a more pluralistic and therefore participatory understanding and exercise of the teaching office in the Christian Church by, first, briefly reflecting upon the historical backdrop to the emergence and development of the role of authoritative ecclesial teacher. Second, I identify some of the ecclesial fault lines and tensions that emerged in the modern and contemporary periods pertaining to teaching authority. Third, I raise the issue of the impact of such developments (...) upon the manner in which Christian churches have sought to offer teachings on ethical issues in recent times. Fourth, I explore, via an ecclesiological analysis that is both a comparative and ecumenical in nature, three visions for retrieving a more participatory and life-giving understanding of the teaching office and practice of the teaching function for our times. The visions explored come from a Reformed, Roman Catholic, and ecumenical standpoint: respectively, those of Richard Robert Osmer, Richard R. Gaillardetz, and Willem Visser 't Hooft. The final section offers some brief conclusions about the potential for truly ecumenical collaboration in moral discernment in the light of such considerations. (shrink)

A necessary refinement of the concept of circular reasoning is applied to the self-and-universally-referential inductive justification of induction. It is noted that the assumption necessary for the circular proof of a principle of induction is that one inference is valid, not that the entire principle or rule of induction governing that inference is true. The circularity in an ideal case is demonstrated to have a value of lin where n represents the number of inferences asserted valid by the conclusion of (...) the justifying argument, and the ‘I’ represents the inference necessarily assumed valid.An induction antinomy modeled after Russell’s antinomy of the set of all and only non-self-containing sets is derived. Isomorphic antinomies are noted to be derivable for other arguments of philosophical interest, including those purported to undermine theories of determinism, relativism, and skepticism, and including the one that Descartes reduced and converted to ‘Cogito, ergo sum’. (shrink)

A necessary refinement of the concept of circular reasoning is applied to the self-and-universally-referential inductive justification of induction. It is noted that the assumption necessary for the circular proof of a principle of induction is that one inference is valid, not that the entire principle or rule of induction governing that inference is true. The circularity in an ideal case is demonstrated to have a value of lin where n represents the number of inferences asserted valid by the conclusion of (...) the justifying argument, and the ‘I’ represents the inference necessarily assumed valid.An induction antinomy modeled after Russell’s antinomy of the set of all and only non-self-containing sets is derived. Isomorphic antinomies are noted to be derivable for other arguments of philosophical interest, including those purported to undermine theories of determinism, relativism, and skepticism, and including the one that Descartes reduced and converted to ‘Cogito, ergo sum’. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Deep Mysteries: God, Christ, and Ourselves by Aidan NicholsGerard T. MundyDeep Mysteries: God, Christ, and Ourselves by Aidan Nichols, O.P. (Lanham, MD: Lexington, 2020), vii + 133 pp.Basic Catholic teaching declares that God's will must be trusted and that perfect knowledge of all that is resides in the Creator. An implication of this claim is that all of God's work within time and history—in man's linearly conception of (...) time and history—is meaningful. For, as perfect order himself God's work is neither random nor coincidental. God's perfect understanding means that he is able, colloquially speaking, "to connect the dots" perfectly. Thus, the historical particulars of the New Testament events are not random and coincidental, but they connect perfectly within God's plan.In terms of biblical events, then, what are the significances of the time periods during which, and places at which, they occurred? "Why was Jesus born on a particular date, at a particular time, and in a particular manger in Bethlehem? Why was the womb of Mary, Mater Dei, chosen at that exact time, and at that exact place? Why did Jesus stand on that particular mountain and not upon another? There are perfect answers to all of those questions and more, for, as Proverbs declares in this vein: "The LORD has made everything for a purpose" (16:4).In Deep Mysteries: God, Christ, and Ourselves, Father Aidan Nichols, O.P., meditates on questions related to the potential reasons for some of the historical particulars of "the principal Christological mysteries." Fr. Nichols defines the mysteries as these: "the Annunciation, the Nativity, the Baptism, the Transfiguration, the Passion and Death, the Descent into Hell, the Resurrection, the Ascension, Pentecost, and the Second Coming." (41).Attempting to understand how all of the parts of the New Testament fit together perfectly in an historical sense—as God's mind would see it—is a fascinating intellectual endeavor. The primary difference between the innocent inquirer and the vain one, however, is that the former understands that God's reason is infinite and that only the First Mover has the ability to see and to put together all particulars. Thomas Aquinas elucidates the essence of the endeavor to connect the particulars when, in reference to man's ability to understand "the truth of faith," he argues: "Yet it is useful for the human reason to exercise itself in such arguments, however weak they may be, provided only that there be present no presumption to comprehend or to demonstrate. For to be able to see something of the loftiest realities, however thin and weak the sight may be, is... a cause of the greatest joy" [Summa contra gentiles I, ch. 8).Posing the question of what the particulars of history might mean brings immediately another question. As Fr. Nichols asks: "How can the Eternal [End Page 386] and time be conjoined in a phrase, and the truth of such conjoining made credible?" (29). Indeed, if God transcends the man-conceived conception of time, how can man even understand God's movements if man can see time only in linear fashion? Fr. Nichols contends that Christ's "mystery-events are not just historical occurrences that, like all such events, belong to the human past" (31). Rather, argues Fr. Nichols, the mysteries "are permanently able to affect the intended beneficiary of the mysteries: namely, the human race" (31). In other words, contends Fr. Nichols, the mysteries are past, present, and future, in the human conception of time.Attempting "to connect the dots" in Christological historical particulars is a subjective endeavor that requires a great deal of individual deciphering, with reliance especially on the interpretation of perceived symbolism. Fr. Nichols's broad theme-based meditations can provide starting points for further study on more concentrated topics.The most exceptional part of the book is Fr. Nichols's discussion on how Jesus's mysteries exist, simultaneously, in the past, in the present, and in the future. This point is of great significance for both theology and philosophy. For, until the Second Coming, God, not being tied to man's limited experience of time, simultaneously, and... (shrink)

Inleidend overzicht van de wetenschapsfilosofische basisproblemen van de rechtswetenschap.

Balancing Change and Tradition in Global Education Reform is an invaluable resource for policymakers, faculty, students, and anyone interested in how decisions made about the education system ultimately affect the quality of education, educational access, and social justice.

Les fractures du temps laissent-elles paraître la durée? Face à l'impossible " omnitemporalité ", l'expérience de la durée. Le geste créateur, l'idée instantanée ou la satisfaction inspirée des artistes interrogent notre lien charnel au monde, qui oscille entre l'abandon au temps morcelé et des synthèses imaginaires. Quand Vénus exauce le désir de Pygmalion, le sculpteur, de voir sa création accéder à la vie, le poète atteste son rêve d'incarnation. Des paradoxes de la physique à la musique répétitive, du cinéma documentaire (...) à la poésie de Michaux, de la synthèse autobiographique de Paul Valéry ou des réflexions de Merleau-Ponty sur l'intersensorialité aux méditations de Heidegger, ces esquisses indiquent les modalités contemporaines de notre présence au monde, dont le cinéma de Wim Wenders ou l'œuvre de Georges Perec portent particulièrement la marque. La sensibilité n'est qu'un autre mot pour dire notre présence au monde. Cet ouvrage approche l'expérience de la durée à travers diverses expressions où s'entrelacent l'attente et l'oubli, le rêve et le récit. Ce souci anime l'action des commissaires d'exposition et des artistes d'aujourd'hui. (shrink)

Signs of mankind's solidarity, by J. R. Nelson.--Mankind, Israel and the nations in the Hebraic heritage, by M. Greenberg.--Christian insights from biblical sources, by C. Maurer.--Muhammad and all men, by D. Rahbar.--The impact of New World discovery upon European thought of man, by E. J. Burrus.--The effects of colonialism upon the Asian understanding of man, by J. G. Arapura.--Religious pluralism and the quest for human community, by S. J. Samartha.--From Confucian gentleman to the new Chinese 'political' man, by D. A. (...) Robinson.--The scientific revolution and the unity of man, by B. Towers.--Language and communication, by E. A. Nida.--Man and the son of man, by J. Moltmann.--The potentiality of conciliarity: communion, conscience, council, by W. B. Blakemore.--Oneness must mean wholeness, by J. R. Nelson. (shrink)

During the 20 years since the Rwandan genocide a number of younger Rwandan theologians have reflected on the terrible events that ravaged their country in 1994. They have presented PhD theses at different universities in Africa and Europe. Four of these deal explicitly with the 1994 genocide. The basic main question of this review article is how these theologians are looking to reconstruct the broken Rwandan society. This analysis reveals that, while exploring a variety of subjects, each of these theologians (...) is looking for a way in which reconciliation may be achieved in Rwandan society, which has been torn apart by the consequences of the genocide. This article indicates the main issues put forward by these scholars and highlights what they have in common and to what extent they differ. (shrink)

This book is a tribute to Kevin Kelly, who has been one of the most influential British theologians for a number of decades. On its own merits, however, it is groundbreaking collection of essays on key themes, issues and concepts in contemporary moral theology and Christian ethics. The focus is on perspectives to inform moral debate and discernment in the future. The main themes covered are shown in the list of contents below. Several of the of the contributors are from (...) the United States, three others live and work in Continental Europe and the rest are from various parts of the British Isles. Many of the authors are among the best known in their fields on both sides of the Atlantic. (shrink)

Einheit der Kirche und Einheit der Menschheit, by W. Pannenberg.--Die Menschheit, Israel und die Nationen in hebräischer Überlieferung, by M. Greenberg.--Die Einheit der Menschheit in biblischer Sicht, by C. Maurer.--Einheit und Entfremdung im Islam, by H. Askari.--Die Entdeckung Amerikas und das europäische Menschenbild, by L. González Rodríguez.--Der Einfluss des Kolonialismus auf das asiatische Verständnis vom Menschen, by J. G. Arapura.--Religiöser Pluralismus und die Suche nach menschlicher Gemeinschaft, by S. J. Samartha.--Vom konfuzianischen Edelmann zum neuen chinesischen "politischen Menschen", by D. A. (...) Robinson.--Die Revolution der Wissenschaft und die Einheit der Menschheit, by B. Towers.--Sprache und Kommunikation, by E. A. Nida.--Die Theologie der Tradition als Grundlage der Einheit, by N. A. Nissiotis. (shrink)

This book assesses how Vatican II opened up the Catholic Church to encounter, dialogue, and engagement with other world religions. Opening with a contribution from the President of the Pontifical Council for Interreligious Dialogue, Cardinal Jean-Louis Tauran, it next explores the impact, relevance, and promise of the Declaration Nostra Aetate before turning to consider how Vatican II in general has influenced interfaith dialogue and the intellectual and comparative study of world religions in the postconciliar decades, as well as the contribution (...) of particular past and present thinkers to the formation of current interreligious and comparative theological methods. Additionally, chapters consider interreligious dialogue vis-à-vis theological anthropology in conciliar documents; openness to the spiritual practices of other faith traditions as a way of encouraging positive interreligious encounter; the role of lay and new ecclesial movements in interreligious dialogue; and the development of Monastic Interreligious Dialogue. Finally, it includes a range of perspectives on the fruits and future of Vatican’s II’s opening to particular faiths such as Judaism, Islam, Hinduism, and Buddhism. (shrink)

This volume explores how Catholicism began and continues to open its doors to the wider world and to other confessions in embracing ecumenism, thanks to the vision and legacy of the Second Vatican Council. It explores such themes as the twentieth century context preceding the council; parallels between Vatican II and previous councils; its distinctively pastoral character; the legacy of the council in relation to issues such as church-world dynamics, as well as to ethics, social justice, economic activity. Several chapters (...) discuss the role of women in the church before, during, and since the council. Others discern inculturation in relation to Vatican II. The book also contains a wide and original range of ecumenical considerations of the council, including by and in relation to Free Church, Reformed, Orthodox, and Anglican perspectives. Finally, it considers the Council’s ongoing promise and remaining challenges with regard to ecumenical issues, including a groundbreaking essay on the future of ecumenical dialogue by Cardinal Walter Kasper. (shrink)

Pancreatitis is a complex, progressively destructive inflammatory disorder. Alcohol was long thought to be the primary causative agent, but genetic contributions have been of interest since the discovery that rare PRSS1, CFTR and SPINK1 variants were associated with pancreatitis risk. We now report two associations at genome-wide significance identified and replicated at PRSS1-PRSS2 and X-linked CLDN2 through a two-stage genome-wide study. The PRSS1 variant likely affects disease susceptibility by altering expression of the primary trypsinogen gene. The CLDN2 risk allele is (...) associated with atypical localization of claudin-2 in pancreatic acinar cells. The homozygous CLDN2 genotype confers the greatest risk, and its alleles interact with alcohol consumption to amplify risk. These results could partially explain the high frequency of alcohol-related pancreatitis in men. © 2012 Nature America, Inc. All rights reserved. (shrink)