Rudyard Kipling, the famous english author of « The Jungle Book », born in India, wrote one day these words: « Oh, East is East and West is West, and never the twain shall meet ». In my paper I show that Kipling was not completely right. I try to show the common ground between buddhist philosophy and quantum physics. There is a surprising parallelism between the philosophical concept of reality articulated by Nagarjuna and the physical concept of reality (...) implied by quantum physics. For neither is there a fundamental core to reality, rather reality consists of systems of interacting objects. Such concepts of reality cannot be reconciled with the substantial, subjective, holistic or instrumentalistic concepts of reality which underlie modern modes of thought. (shrink)

During meditation, consciousness/awareness is usually enhanced because of higher attention and concentration, which inter-dependently co-arise thru appropriate interactions between neural signals. Nāgārjuna rejects ‘inherent existence’ or ‘essence’ in favor of co-dependent origination (Pratītyasamutpāda), and that is also why he rejects causality; the entities that lack inherent existence dependently co-arise. Causality is a major issue in metaphysical views. The goals of this article are as follows: (I)Which entities lack ‘inherent existence’ or ‘essence’ and which ones inherently exist? (II) Do the entities (...) that lack inherent existence dependently co-arise and hence can we reject causality as in Nāgārjuna’s philosophy? (III) Do the entities that exist inherently cause entities that lack inherent existence? (IV) Do structure, function, experience, and environment cause each other? And (V)We critically analyze, extend, and examine Nāgārjuna’s philosophy of dependent co- origination in the extended Dual-Aspect Monism (eDAM) framework. Our analysis suggests that: (i) All conventional entities lack inherent existence. However, the dual-aspect unmanifested state of the primal entity (unified information field (UIF), emptiness, Śūnyatā, a neutral entity of Neutral Monism, or Brahman) inherently exists. The dual-aspect unmanifested state of UIF has (a) physical unified information field (PUIF, quantum vacuum, ‘zero- point field’/ZPF)as physical aspect and (b) unified potential consciousness information field (UPCIF) as the non-physical aspect. The subjective experiences (SEs) of objects and of the subject (self) are the excitations or modes of the UPCIF, so they are derived entities and hence they lack inherent existence. The dual-aspect unmanifested state of UIF/emptiness/Śūnyatā is fundamental and irreducible, and hence it inherently exists. (ii) The entities that lack inherent existence dependently co-arise, and hence causality for them can be rejected but instead conditions (such as efficient, percept-object, immediate, and dominant conditions) are necessary, as in Nāgārjuna’s philosophy. (iii) It is unclear that the dual-aspect primal entity UIF (Brahman/emptiness/Śūnyatā) that exists inherently cause entities that lack inherent existence. Most likely, all manifested entities inter-dependently co-arise thru natural laws built-in the UIF when necessary conditions for a manifested entity are satisfied thru interaction among relevant entities. (iv) It is unclear that structure, function, experience, and environment cause each other. A cause must, at the same time, be an effect of another cause. This implies that there is no first cause. Therefore, the structure, function, and experience inter-dependently co-arise thru co-evolution, co-development, sensorimotor co-tuning, and the interaction among relevant entities after the necessary conditions of manifestation of a specific entity are satisfied; and they are linked via conditions. (v) In the extended Dual-Aspect Monism (eDAM) framework, the physical aspect of a state of a manifested entity and that of the non-physical aspect (with functional, qualitative, cognitive, and experiential sub-aspects) of the same state of the same entity inseparably co-exist in each state of each entity at all levels. However, the degrees of manifestations of inseparable physical and non-physical aspects vary with the states, levels of entities, and contexts. Moreover, manifested entities lack inherent existence. In other words, the physical aspect and that of the non-physical aspect of manifested entities dependently co- arise, co-evolve, co-develop, and co-tuned for sensorimotor system appropriately depending on the levels of entities and contexts, which along with common “effective”information entail the inseparability of both aspects. In this sense, the symmetry between physical and non-physical aspects of a state of an entity (such as brain-mind system) is maintained, where the physical aspect (from third person perspective) does not cause the inseparable non-physical aspect (from first-person perspective) in living systems or vice- versa. (shrink)

Nagarjuna and Quantum physics. Eastern and Western Modes of Thought. Summary. The key terms. 1. Key term: ‘Emptiness’. The Indian philosopher Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That (...) nothing can be found, that there is nothing, that nothing exists? Was Nagarjuna denying the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. Reality is without foundation. Or: Reality has the wide open space as foundation. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realised that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalisation. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalisation might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. -/-. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was Nagarjuna denying (...) the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. -/- 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.] -/- « Wenn du gerade das, wodurch auch immer du gefesselt bist, erkennst, wirst du zur Freiheit gelangen. Wenn du diesen speziellen Pfad verwirklichst, gelangst du in einem Leben zur Buddhaschaft. Deswegen verhält es sich folgendermaßen : Wenn plötzlich die Geistesregung « Begierde » enststeht, dann betrachte, ohne ihr zu folgen, direkt ihre Essenz und verweile in dieser Betrachtung, ohne Ablenkungen zuzulassen. Auf diese Weise reinigt Begierde sich selbst, ohne aufgegeben zu werden, da sie ohne Grundlage und Ursprung entsteht. Das wird « Befreiung in sich selbst », « unterscheidende ursprüngliche Weisheit » oder Buddha Amitabha » genannt ». Jigden Sumgön, Licht, das die Dunkelheit durchbricht, Otter Verlag, München 2006, Seite 47, 48 . (shrink)

The so-called paradoxes of quantum physics are easily disposed of as soon as one accepts that there are no such things as intrinsically existing particles and their intrinsic properties, but that both particles and properties are relational “observables.” Accordingly, quantum physics does not offer a “description of the outer world,” but rather a prescription about how to make probabilistic predictions within a participatory environment. The latter view looks quite radical with respect to standard Western Aristotelian ontology; but it (...) looks natural in the context of the Indian-Buddhist concept of Pratītyasamutpāda which underpins Śūnyatā. Special attention will then be devoted to the quantum feature of non-separability, which displays remarkable similarities with Pratītyasamutpāda. Finally, the meaning of such twofold parallel between quantum physics and Śūnyatā will be discussed. This parallel will be related to the similarity of epistemological situation between knowing a world from which we are not entirely separated and knowing oneself. (shrink)

Department of History and Philosophy of Science. University of Cambridge, Free School Lane, Cambridge CB2 3RH This paper is concerned with the question of whether atomic particles of the same species, i. e. with the same intrinsic state-independent properties of mass, spin, electric charge, etc, violate the Leibnizian Principle of the Identity of Indiscernibles, in the sense that, while there is more than one of them, their state-dependent properties may also all be the same. The answer depends on what exactly (...) the state-dependent properties of atomic particles are taken to be. On the plausible interpretation that these should comprise all monadic and relational properties that can be expressed in terms of physical magnitudes associated with self-adjoint operators that can be defined for the individual particles, then the weakest form of the Principle is shown to be violated for bosons, fermions and higher-order paraparticles, treated in first quantization *Some of the arguments inn this paper appeared in a thesis submited by one of us (S.F.) In partial fulfilment of the requirements for the PhD degree of the University of London, in 1984. entitled 'Identity and ‘Individuality in Classical and Quantum Physics’. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The New Physics and Cosmology: Dialogues with the Dalai LamaPaul O. IngramThe New Physics and Cosmology: Dialogues with the Dalai Lama. By Arthur Zajonic. Oxford: Oxford University Press, 2004. 245 pp.Over the years there have occurred several "Life and Mind Conferences" that seek to explore the intersection between the natural sciences and Buddhism, particularly, but not limited to, Tibetan Buddhist tradition. As far as I know, this series (...) of conferences represents the most systematic effort to dialogically engage Buddhist thought and practice with the natural sciences to date. The New Physics and Cosmology is one of a number of published Buddhist-science dialogues to emerge from the Life and Mind Conferences. Its focus is contemporary quantum physics and scientific cosmology in conversation with Buddhist cosmology and is based on a conference held in Dharmasala 27–31 October 1997.Along with the Dalai Lama, the major participants in this dialogue were David Ritz Finkelstein, who teaches physics at the Georgia Institute of Technology and edits the International Journal of Theoretical Physics; George Greenstein, Sidney Dillon Professor of Astronomy at Amherst College; Peter Hut, professor of physics and interdisciplinary studies at the Institute for Advanced Study at Princeton University; Thupten Jinpa, who has served as the Dalai Lama's principal English translator since 1985; B. Allan Wallace, who trained for many years in Buddhist monasteries in India and Switzerland and is one of the Buddhist pioneers of the Buddhist-science dialogue; Tu Wei-Ming, who directs the Harvard-Yenching Institute and is professor of Chinese History and Philosophy at Harvard; Arthur Zajonc, professor of physics at Amherst College, whose research focuses on the experimental foundations of quantum physics and the relation between science and the humanities; and Anton Zeilinger, director of the Institute for Experimental Physics in Austria and professor of physics at the University of Innsbruck from 1990 to 1999.One of the remarkable features in these dialogues is that in spite of the Dalai [End Page 180] Lama's rather limited knowledge of contemporary quantum physics and cosmology, his questions to the participating scientists go very quickly to the philosophical and religious issues and challenges all religious worldviews must take seriously to remain relevant in the twenty-first century. His explanations of Tibetan Buddhist cosmology and doctrine, especially the epistemology Nagarjuna and the doctrine of sunyata or "Emptiness" as possible correlations with what the natural sciences are revealing about nature, are among the clearest Buddhist discussions in this regard I have read. One might also say that the scientists were very adept in the art of upaya in the manner in which they related their knowledge of very abstract and theoretical scientific issues to the levels of experience of their nonscientific dialogue partners. In particular, the experimental foundations of quantum physics and relativity theory were presented very thoroughly, in ways nonscientist participants could comprehend.Finally, these dialogues are not merely a series of lengthy conversations about supposed parallels between contemporary science and Buddhist teaching and practice. There is no claim that "Buddhism" is a "scientific" religious tradition, as often assumed by writers, both Buddhist and non-Buddhist, who have a tendency to read Western Enlightenment assumptions into Buddhist history. Instead, these conversations are motivated by the search for an alternative epistemological foundation for developing physical theories that could also be relevant to social, philosophical, and religious issues that the natural sciences as such are unable to address. For example, B. Alan Wallace assumes what Ian Barbour describes as an "independence model" in his understanding of the relation between science and Buddhism. Thus for Wallace and the other Buddhist participants, the natural sciences give us objective knowledge about physical processes but do not give us knowledge of an objective world. He then concludes that the function of scientific theories is to make natural events intelligible for the purpose of developing technologies that improve the quality of life. But science has very little, if anything, to say about "absolute truth," which he as a Buddhist names "Emptiness."Clearly, Wallace's interpretation of the natural sciences is based on his appropriation of the "two truth" epistemology that originated with the second century Indian Buddhist logician Nagarjuna. Nagarjuna also... (shrink)

The paper makes a case for there being causation in the form of causal properties in the domain of fundamental physics. That case is built on an interpretation of quantum theory in terms of state reductions so that there really are both entangled states and classical properties (although that case does not necessarily depend on such an interpretation). GRW is the most elaborate physical proposal for such an interpretation. I show how this interpretation suggests a commitment to entangled states (...) being dispositions for spontaneous localizations, more precisely being causal properties or structures that are the power to bring about classical properties through state reductions in the form of spontaneous localizations. That commitment implies conceiving quantum probabilities as propensities and accepting a fundamental law that is not time-reversal invariant. The paper indicates several arguments for these commitments. (shrink)

We ponder the question whether quantum physics has had any influence on philosophy, and if not, whether it ought to have had any. Answers to these questions are provided, and they turn out to depend on which branch of the tree of philosophy we sweep, sway and swing, and even which twig of the branch we touch when we sweep, sway and swing.

Rudyard Kipling, the famous english author of « The Jungle Book », born in India, wrote one day these words: « Oh, East is East and West is West, and never the twain shall meet ». In my paper I show that Kipling was not completely right. I try to show the common ground between buddhist philosophy and quantum physics. There is a surprising parallelism between the philosophical concept of reality articulated by Nagarjuna and the physical concept of reality (...) implied by quantum physics. For neither is there a fundamental core to reality, rather reality consists of systems of interacting objects. Such concepts of reality cannot be reconciled with the substantial, subjective, holistic or instrumentalistic concepts of reality which underlie modern modes of thought. (shrink)

Rudyard Kipling, the famous english author of « The Jungle Book », born in India, wrote one day these words: « Oh, East is East and West is West, and never the twain shall meet ». In my paper I show that Kipling was not completely right. I try to show the common ground between buddhist philosophy and quantum physics. There is a surprising parallelism between the philosophical concept of reality articulated by Nagarjuna and the physical concept of reality (...) implied by quantum physics. For neither is there a fundamental core to reality, rather reality consists of systems of interacting objects. Such concepts of reality cannot be reconciled with the substantial, subjective, holistic or instrumentalistic concepts of reality which underlie modern modes of thought. (shrink)

In the Critique of Pure Reason Kant argues that the empirical knowledge of the world depends on a priori conditions of human sensibility and understanding, i. e., our capacities of sense experience and concept formation. The objective knowledge presupposes, on one hand, space and time as a priori conditions of sensibility and, on another hand, a priori judgments, like the principle of causality, as constitutive conditions of understanding. The problem is that in the XX century the physical science completely changed (...) how we conceive our knowledge of the world. Face to this new situation, what was changed in our classical reason? However, if the transcendental point of view is adopted, in the specific case of quantum mechanics, we have to wonder about the general conditions of this theory that make possible such knowledge, which predictive value is much more accurate than the classical physics. The aim of this work is firstly to show the Kantian implications on Bohr’s interpretation of quantum phenomena and secondly to provide an overview of the key elements for understanding the transcendental locus of ordinary language in the quantum mechanics context, in order to give support to a transcendental pragmatic position in the analysis of science. (shrink)

Niels Bohr, founding father of modern atomic physics and quantum theory, was as original a philosopher as he was a physicist. This study explores several dimensions of Bohr's vision: the formulation of quantum theory and the problems associated with its interpretation, the notions of complementarity and correspondence, the debates with Einstein about objectivity and realism, and his sense of the infinite harmony of nature. Honner focuses on Bohr's epistemological lesson, the conviction that all our description of nature is (...) dependent on the words we use and the ways we can unambiguously use them. (shrink)

Lifeworld realism and quantum-physical realism are taken as experience-dependent conceptions of the world that become objects of explicit reflection when confronted with context-external discourses. After a brief sketch of the two contexts of experience—lifeworld and quantum physics—and their realist interpretations, I will discuss the quantum world from the perspective of lifeworld realism. From this perspective, the quantum world—roughly speaking—has to be either unreal or else constitute a different reality. Then, I invert the perspective and examine the (...) lifeworld from the standpoint of quantumphysical realism. This conception of the lifeworld has gained momentum from new research results in recent decades. Despite its experiential basis, quantum-physical realism bears an ambiguity akin to that of lifeworld realism. While the perspectival inversion serves to highlight the problem, it also contributes to an improved understanding of lifeworld-realism. (shrink)

David Mermin suggests that my recent proof pertaining to quan tum nonlocality is undermined by an essential ambiguity pertaining to the meaning of counterfactual statements in quantum physics The ambiguity he cites arise from his imposition of a certain criterion for the meaningfulness of such counterfactual statements That criterion con ates the meaning of a counterfactual statement with the details of a proof of its validity in such a way as to make the meaning of such a statement dependent (...) upon the context in which it occurs That dependence violates the normal demand in logic that the meaning of a statement be de ned by the words in the statement itself not by the context in which the statement occurs My proof conforms to that normal requirement I describe the context independent meaning within my proof of the counterfactual statements in question.. (shrink)

The modern philosophy of science has not succeeded in defining conclusively what the scientific method consists in. On the contrary, scientific practice seems to consist in a methodological pluralism, a definition that connects with essential fragments of John Dewey's Logic, the Theory of Inquiry. For Dewey, even the forms of logic emerge from the problems defined in indeterminate situations. A historical example was the introduction of the notion of complementarity in physics, which allowed the interpretation of two confusingly paradoxical experiments (...) in a coherent way. Dewey's thought demonstrates its relevance by helping us to define the pattern of inquiry. Methodological pluralism and the dependence of logic on research problems is not something that will happen, it is something that has happened and does happen in scientific practices. (shrink)

The debate between Fraser and Wallace over the foundations of quantum field theory has spawned increased focus on both the axiomatic and conventional formalisms. The debate has set the tone for future foundational analysis, and has forced philosophers to “pick a side”. The two are seen as competing research programs, and the major divide between the two manifests in how each handles renormalization. In this paper I argue that the terms set by the Fraser-Wallace debate are misleading. AQFT and (...) CQFT should be viewed as complementary formalisms that start from the same physical basis. Further, the focus on cutoffs as demarcating the two approaches is also highly misleading. Though their methods differ, both axiomatic and conventional QFT seek to use the same physical principles to explain the same domain of phenomena. (shrink)

In a pair of articles and in his recent book, Miklos Redei has taken enormous strides toward characterizing the conditions under which relativistic quantum field theory is a safe setting for the deployment of causal talk. Here, we challenge the adequacy of the accounts of causal dependence and screening off on which rests the relevance of Redei's theorems to the question of causal good behavior in the theory.

In the consistent histories formalism one specifies a family of histories as an exhaustive set of pairwise exclusive descriptions of the dynamics of a quantum system. We define branching families of histories, which strike a middle ground between the two available mathematically precise definitions of families of histories, viz., product families and Isham’s history projector operator formalism. The former are too narrow for applications, and the latter’s generality comes at a certain cost, barring an intuitive reading of the “histories”. (...) Branching families retain the intuitiveness of product families, they allow for the interpretation of a history’s weight as a probability, and they allow one to distinguish two kinds of coarse-graining, leading to reconsidering the motivation for the consistency condition. (shrink)

In this paper, we inquire further into the question of the emergence of new orders in physics, first raised in an earlier paper. In this inquiry, we are led to suggest that the quantum theory indicates the need for yet another new order, which we call “enfolded” or “implicate.” One of the most striking examples of the implicate order is to be seen by considering the function of the hologram, which clearly reveals how a total content (in principle extending (...) over the whole of space and time) is “enfolded” in the movement of waves (electromagnetic and other kinds) in any given region. We then come to the notion that the quantum theory indicates that this implicate order is not merely a dependent or fortuitous feature of the content, but rather, that it should be considered as the independent ground of existence of things, while the ordinary explicate order is what should be considered as dependent. Finally, in the appendix we point out how the implicate order is expressed naturally in terms of an algebra similar to that of the quantum theory, which is, however, subject to generalizations going beyond the limits of what has meaning in this theory. Various new directions of further research are indicated, which will be explained in later papers. (shrink)

I review the role of probability in contemporary physics and the origin of probabilistic time asymmetry, beginning with the pre-quantum case but concentrating on quantum theory. I argue that quantum mechanics radically changes the pre-quantum situation and that the philosophical nature of objective probability in physics, and of probabilistic asymmetry in time, is dependent on the correct resolution of the quantum measurement problem.

We argue about a possible scenario of physical reality based on the parallelism between Poincare group and the sunyata philosophy of Nagarjuna. The notion of "relational" is the common denominator of two views. We have approached the relational concept in third-person perspective (ontic level). It is possible to deduce different physical consequence and interpretation through first-person perspective approach. This relational interpretation leave open the questions: i)we must abandon the idea for a physical system the possibility to extract completeness information? ii)we (...) must abandon the idea to infer a possible structure of physical reality? (shrink)

Through the explicit introduction of hyperplane dependence as a form of relativistic dynamical evolution, we construct a manifestly covariant description of a single positive energy particle interacting with any one of a large class of “moving” external potentials. In1+1 dimensions, the simplified mathematics allows us to display a number of general properties of solutions to the equations of motion for evolution on hyperplanes.

My life as a quantum physicist / M. Nakahara -- A review on operator quantum error correction - Dedicated to Professor Mikio Nakahara on the occasion of his 60th birthday / C.-K. Li, Y.-T. Poon and N.-S. Sze -- Implementing measurement operators in linear optical and solid-state qubits / Y. Ota, S. Ashhab and F. Nori -- Fast and accurate simulation of quantum computing by multi-precision MPS: Recent development / A. Saitoh -- Entanglement properties of a (...) class='Hi'>quantum lattice-gas model on square and triangular ladders / S. Tanaka, R. Tamura and H. Katsura -- On signal amplification from weak-value amplification / Y. Shikano -- Topological protection of quantum information / K. Fujii -- Quantum annealing with antiferromagnetic fluctuations for mean-field models / Y. Seki and H. Nishimori -- A method to change phase transition nature - Toward annealing methods / R. Tamura and S. Tanaka -- Computational analysis of the first stage of the photosynthetic system, the light-dependent reaction, by quantum chemical simulation method / M. Tada-Umezaki -- Two-qubit gate operation on selected nearest neighboring qubits in a neutral atom quantum computer / E. Hosseini Lapasar... [et al.] -- A simple operator quantum error correction scheme avoiding fully correlated errors / C. Bagnasco, Y. Kondo and M. Nakahara -- Black hole predictability, classical and quantum / A. Ishibashi -- Classical field simulation of finite-temperature Bose gases / T. Sato -- Atomic quantum simulations of lattice gauge theory: Effect of gauge symmetry breaking / K. Kasamatsu, I. Ichinose and T. Matsui -- Recursive construction of noiseless subsystem for qudits / U. Gungordu... [et al.] -- Composite quantum gates for precise quantum control / M. Bando... [et al.] -- New formulation of statistical mechanics using thermal pure quantum states / S. Sugiura and A. Shimizu -- Thermodynamics in unitary time evolution / T. N. Ikeda -- Second law of thermodynamics with QC-mutual information / T. Sagawa. (shrink)

Sometimes conducting an experiment to ascertain the state of a system changes the state of the system being measured. Kahneman & Tversky modelled this effect with ‘support theory’. Quantum physics models this effect with probability amplitude mechanics. As this paper shows, probability amplitude mechanics is similar to support theory. Additionally, Viscusi's proposed generalized expected utility model has an analogy in quantum mechanics.

It is shown in the present note that the degree of the complexity of the time-reading process of the Salecker–Wigner clock depends on the size of the clock. This dependence leads to a relation between the size and the accuracy of the clock, and suggests a precise optimal value for the size in agreement with the order of magnitude value established by Salecker and Wigner.

In this paper we explore the possibility of giving a justification of the “semantic information” content and measure, in the framework of the recent coalgebraic approach to quantum systems and quantum computation, extended to QFT systems. In QFT, indeed, any quantum system has to be considered as an “open” system, because it is always interacting with the background fluctuations of the quantum vacuum. Namely, the Hamiltonian in QFT always includes the quantum system and its inseparable (...) thermal bath, formally “entangled” like an algebra with its coalgebra, according to the principle of the “doubling” of the degrees of freedom between them. This is the core of the representation theory of cognitive neuroscience based on QFT. Moreover, in QFT, the probabilities of the quantum states follow a Wigner distribution, based on the notion and measure of quasiprobability, where regions integrated under given expectation values do not represent mutually exclusive states. This means that a computing agent, either natural or artificial, in QFT, against the quantum Turing machine paradigm, is able to change dynamically the representation space of its computations. This depends on the possibility of interpreting QFT system computations within the framework of category theory logic and its principle of duality between opposed categories, such as the algebra and coalgebra categories of QFT. This allows us to justify and not only to suppose, like in the “theory of strong semantic information” of L. Floridi, the definition of modal “local truth” and the notion of semantic information as a measure of it, despite both measures being defined on quasiprobability distributions. (shrink)

Quantum-mechanical event descriptions are context-dependent descriptions. The role of quantum (nondistributive) logic is in the partial ordering of contexts rather than in the ordering of quantum-mechanical events. Moreover, the kind of quantum logic displayed by quantum mechanics can be easily inferred from the general notion of contextuality used in ordinary language. The formalizable core of Bohr's notion of complementarity is the type of context dependence discussed in this paper.

Nāgārjuna contends that the doctrine of Pratītyasamutpāda (dependent origination), properly understood, constitutes the philosophical basis for the rejection and avoidance of all metaphysical theories and concepts (including causation). The companion doctrine of "śūnyatā" constitutes the denial of metaphysical realism (or "essentialism") but does not imply an anti-realist, conventionalist view of reality (as Jay Garfield maintains). "Pratītyasamutpāda," the true doctrine or, literally, "the exact or real nature of the case," is really two-sided: it is (1) a "causal" principle explaining the origin (...) of all that exists, and (2) a semantic principle concerning the mutual dependency of concepts and beliefs in both the systematic and historically contingent sense. The latter implies a pragmatic approach to meaning. (shrink)

The time-dependent Schrödinger equation has been derived from three assumptions within the domain of classical and stochastic mechanics. The continuity equation isnot used in deriving the basic equations of the stochastic theory as in the literature. They are obtained by representing Newton's second law in a time-inversion consistent equation. Integrating the latter, we obtain the stochastic Hamilton-Jacobi equation. The Schrödinger equation is a result of a transformation of the Hamilton-Jacobi equation and linearization by assigning the arbitrary constant ħ=2mD. An experiment (...) is proposed to determine ħ and to test a hypothesis of the theory directly. A mathematical apparatus is formulated from the Jacobian formalism to derive physical parameters from ψ(x, t) and to obtain operators for the boundary cases of the theory. The operator formalisms are compared by means of a well-known solution in the quantum theory. (shrink)

In a recent paper, Zukowski and Markiewicz showed that Wigner’s Friend (and, by extension, Schrodinger’s Cat) can be eliminated as physical possibilities on purely logical grounds. I validate this result and demonstrate the source of the contradiction in a simple experiment in which a scientist S attempts to measure the position of object |O⟩ = |A⟩S +|B⟩S by using measuring device M chosen so that |A⟩M ≈ |A⟩S and |B⟩M ≈ |B⟩S. I assume that the measurement occurs by quantum (...) amplification without collapse, in which M can entangle with O in a way that remains reversible by S for some nonzero time period. This assumption implies that during this “reversible” time period, |A⟩M ̸= |A⟩S and |B⟩M ̸= |B⟩S – i.e., the macroscopic pointer state to which M evolves is uncorrelated to the position of O relative to S. When the scientist finally observes the measuring device, its macroscopic pointer state is uncorrelated to the object in position |A⟩S or |B⟩S, rendering the notion of “reversible measurement” a logical contradiction. (shrink)

In the third Whitehead Psychology Nexus Studies, we have discussed (i) the dual-aspect-dual-mode proto-experience (PE)-subjective experience (SE)framework of consciousness based on neuroscience, (ii) its implication in war, suffering, peace, and happiness, (iii) the process of sublimation for optimizingthem and converting the negative aspects of seven groups of self-protective energy system (desire, anger, ego, greed, attachment, jealousy, and selfishlove)into their positive aspects from both western and eastern perspectives (Vimal, 2009b). In this article, we summarize the recent development since then as follows. (...) (1) In (Vimal, 2010), we rigorously investigated the classical and quantum matching and selection processes for precisely experiencing a specific SE in a specific neural-network. (2) In (Vimal, 2009i), we unpacked the quantum view of superposition related to the superposition-based hypothesis H1 of our framework in terms of subquantum dual-aspect primal entities (bhutatmas) and addressed the related explanatory gaps. (3) We developed alternative hypotheses of our framework, namely, the superposition-then-integration-emergence based H2, the integration-emergence based H3, the intelligent mechanism based H4, and the vacuum/Aether based H5. We concluded that our framework with H1 is the most optimal one because it has the least number of problems (Vimal, 2009j). (4) We found over 40 different but overlapping meanings attributed to the term ‘consciousness’ and suggested that authors must specify which aspect ofconsciousness they refer to when using this term to minimize confusion (Vimal, 2009f). (5) We proposed definitions of consciousness, qualia, mind, and awareness (Vimal, 2009h). (6) We investigated the necessary ingredients for access (reportable) consciousness: wakefulness, re-entry, attention, working memory and so on (Vimal, 2009g). (7) We discussed Nâgârjuna’s philosophy of dependent co-origination with respect to our PE-SE framework (Vimal, 2009a). (8) We linked dynamic systems theory and fractal catalytic theory with standard representation theory using our framework (Vimal, 2009d). (9) We introduce the PE-SE aspects of consciousness in theoretical classical and quantum physics including loop quantum gravity and string theory (Vimal, 2009k). (10) In (Vimal, 2009c), we proposed that the SE of subject or ‘self’ in self-related neural-network is tuned to the self-related SEs/PEs superposed in other innumerable entities during samadhi state via matching and selection processes. This leads to bliss, ecstasy, or exceptionally high degree of climax at samadhi state. We conclude that, so far, the dualaspect-dual-mode PE-SE framework with hypothesis H1 is the most optimal framework for explaining our conventional reality because it has the least number of problems. Keywords: Evolution of consciousness; Internal representation; Sensorimotor interaction; Dual-aspect model; Subjective experience; Protoexperiences, Explanatory gap; Mind-brain problem; Purusha; Prakriti; Eastern and Western perspectives; Yoga; Sublimation process; Whitehead; Process and Reality; Occasions of experience; Superposition; Subquantum dual-aspect primal entities (bhutatmas); Superposition-then-integration-emergence; Integration-emergence; Intelligent mechanism; Vacuum/Aether; qualia; Mind; Awareness; Nâgârjuna; Classical and quantum physics; Loop quantum gravity; String theory. (shrink)

Nāgārjuna contends that the doctrine of Pratītyasamutpāda , properly understood, constitutes the philosophical basis for the rejection and avoidance of all metaphysical theories and concepts . The companion doctrine of "śūnyatā" constitutes the denial of metaphysical realism but does not imply an anti-realist, conventionalist view of reality . "Pratītyasamutpāda," the true doctrine or, literally, "the exact or real nature of the case," is really two-sided: it is a "causal" principle explaining the origin of all that exists, and a semantic principle (...) concerning the mutual dependency of concepts and beliefs in both the systematic and historically contingent sense. The latter implies a pragmatic approach to meaning. (shrink)

Here I shall call elements (1)-(3) the quantum state (or the “state”), since they give the quantum state of the universe that obeys the dynamical laws and is written in terms of the kinematic variables, and I shall call elements (4)-(6) the probability rules (or the “rules”), since they specify what it is that has probabilities (here taken to be the results of observations, Oj, or “observations” for short), the rules for extracting these observational probabilities from the (...) class='Hi'>quantum state, and the meaning of the probabilities. What I shall write below is largely independent of the meaning of the probabilities, though personally I view them in a rather Everettian way as objective measures for the set of observations with positive probabilities. Usually it is implicitly believed that the observational probabilities depend strongly upon the quantum state. (Sometimes the Everett interpretation [2] is taken to mean that all of physical reality is determined purely by the quantum state, without the need for any additional rules to extract probabilities, but this extreme view seems untenable [4] and will not be adopted here. Instead, I shall discuss the opposite view, that the probabilities are independent of the quantum state.) However, some advocates of inflation[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22] often claim that our observations do not depend upon the quantum state at all, but rather that inflation acts as an attractor to give the same statistical distribution of observations from any state. In this note, I shall use the framework of state plus rules to discuss this possibility that observational probabilities might be independent of the quantum state. I shall show that this indeed is logically possible, but apparently only if the probability rules are rather ad hoc. If indeed the rules are this ad hoc, so that the probabilities of our observations do not depend upon a quantum state at all, it would seem to leave it mysterious why many of our observations can be simply interpreted as if our universe really were quantum.. (shrink)

In the third Whitehead Psychology Nexus Studies, we have discussed (i) the dual-aspect-dual-mode proto-experience (PE)-subjective experience (SE)framework of consciousness based on neuroscience, (ii) its implication in war, suffering, peace, and happiness, (iii) the process of sublimation for optimizingthem and converting the negative aspects of seven groups of self-protective energy system (desire, anger, ego, greed, attachment, jealousy, and selfishlove)into their positive aspects from both western and eastern perspectives (Vimal, 2009b). In this article, we summarize the recent development since then as follows. (...) (1) In (Vimal, 2010), we rigorously investigated the classical and quantum matching and selection processes for precisely experiencing a specific SE in a specific neural-network. (2) In (Vimal, 2009i), we unpacked the quantum view of superposition related to the superposition-based hypothesis H1 of our framework in terms of subquantum dual-aspect primal entities (bhutatmas) and addressed the related explanatory gaps. (3) We developed alternative hypotheses of our framework, namely, the superposition-then-integration-emergence based H2, the integration-emergence based H3, the intelligent mechanism based H4, and the vacuum/Aether based H5. We concluded that our framework with H1 is the most optimal one because it has the least number of problems (Vimal, 2009j). (4) We found over 40 different but overlapping meanings attributed to the term ‘consciousness’ and suggested that authors must specify which aspect ofconsciousness they refer to when using this term to minimize confusion (Vimal, 2009f). (5) We proposed definitions of consciousness, qualia, mind, and awareness (Vimal, 2009h). (6) We investigated the necessary ingredients for access (reportable) consciousness: wakefulness, re-entry, attention, working memory and so on (Vimal, 2009g). (7) We discussed Nâgârjuna’s philosophy of dependent co-origination with respect to our PE-SE framework (Vimal, 2009a). (8) We linked dynamic systems theory and fractal catalytic theory with standard representation theory using our framework (Vimal, 2009d). (9) We introduce the PE-SE aspects of consciousness in theoretical classical and quantum physics including loop quantum gravity and string theory (Vimal, 2009k). (10) In (Vimal, 2009c), we proposed that the SE of subject or ‘self’ in self-related neural-network is tuned to the self-related SEs/PEs superposed in other innumerable entities during samadhi state via matching and selection processes. This leads to bliss, ecstasy, or exceptionally high degree of climax at samadhi state. We conclude that, so far, the dualaspect-dual-mode PE-SE framework with hypothesis H1 is the most optimal framework for explaining our conventional reality because it has the least number of problems. Keywords: Evolution of consciousness; Internal representation; Sensorimotor interaction; Dual-aspect model; Subjective experience; Protoexperiences, Explanatory gap; Mind-brain problem; Purusha; Prakriti; Eastern and Western perspectives; Yoga; Sublimation process; Whitehead; Process and Reality; Occasions of experience; Superposition; Subquantum dual-aspect primal entities (bhutatmas); Superposition-then-integration-emergence; Integration-emergence; Intelligent mechanism; Vacuum/Aether; qualia; Mind; Awareness; Nâgârjuna; Classical and quantum physics; Loop quantum gravity; String theory. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Nāgārjuna and the Doctrine of "Skillful Means"John SchroederAlthough a number of Buddhist scholars have examined the doctrine of "skill-in-means" (upāya-kauśalya) in Mahāyāna Buddhist literature, it is surprising that no one has yet developed this important concept in relation to Nāgārjuna. Given that upāya is a central doctrine in the early Mahāyāna texts, and given that Nāgārjuna is a central philosopher of this tradition, it is unfortunate that scholars pay (...) little attention to how upāya influenced Nāgārjuna's thought. Michael Pye's Skilful Means is the only significant study of upāya to date, and it notes how scholars consistently overlook its importance:'Nirvāṇa;, 'bodhisattva', 'emptiness' (Skt. śūnyatā) and so on have all been considered in this way and that, but apart from occasional references and brief definitions 'skilful means' has scarcely been attended to at all. A concept which has been used to explain the very existence of Buddhism as a functioning religious system demands closer attention.(Pye 1978, p. 2)This lack of attention to upāya certainly applies to Nāgārjuna, who is usually depicted in the West as someone engaged in a metaphysical dispute. According to most Western scholars, Nāgārjuna not only does metaphysics but actually believes that liberation depends on it. Whether he is depicted as a conventionalist, an absolutist, a nihilist, or a deconstructionist, and whether or not his dialectic of "emptiness" (śūnyatā) undermines all positive philosophical positions, it is commonly assumed that Nāgārjuna is dealing with important metaphysical problems and that he thinks Buddhist praxis is somehow incomplete without it.If we read Nāgārjuna as primarily concerned with upāya, however, then this way of framing his project is mistaken. What is interesting about upāya is that it has little in common with traditional Western metaphysics: it is not concerned with the nature of space and time, causality, personal identity, or consciousness, and it resists the tendency to conceptualize liberation apart from Buddhist praxis. To think otherwise is to assume that the Dharma can be abstracted from its soteriological and rhetorical context and that Buddhism can be preached without any particular audience in mind. Most contemporary Western Nāgārjuna scholars adopt this unskillful position by privileging metaphysics over praxis and by telling us that liberation requires a correct understanding of certain metaphysical problems. Given the Buddhist insistence on the indispensable nature of practice, however, and given Nāgārjuna's own position within the Mahāyāna tradition, it is highly unlikely that he is raising traditional metaphysical questions, and even more unlikely that he thinks that Buddhist soteriology depends on it. [End Page 559]The purpose of this article, then, is to offer a different account of Nāgārjuna from the one that is found in contemporary Western scholarship. While most scholars relate Nāgārjuna to metaphysics and wonder how "emptiness" undermines all traditional philosophical views and doctrines, a "skillful means" reading will relate Nāgārjuna's philosophy solely to issues of Buddhist practice. It will not ask what it means for causality, truth, the self, or consciousness to be "empty" in a very general sense, but how "emptiness" relates to the soteriological practices of Buddhism and what it means for those practices to be "empty" of inherent nature.Contrary to what one may think, this does not turn Nāgārjuna into a non-philosopher. "Skill-in-means" is philosophy, albeit in a different sense from the way it is traditionally conceived. Western philosophy traditionally favors theoretical reflection over praxis and devotes most of its intellectual effort to solving metaphysical problems, often with the assumption that these problems need to be solved in order to live a meaningful life. What distinguishes the doctrine of upāya (and perhaps the entire Buddhist tradition) from this approach is that it shuns any attempt to understand Buddhism apart from its practices. Taking its cue from the Buddha's refusal to speculate on non-soteriological problems, upāya rejects the idea that metaphysics precedes praxis or that liberation requires theoretical speculation. It... (shrink)

The philosophical goal is to characterize ‘path dependence’ (PAD) in science by comparison to PAD in technology where the concept was initially introduced. I rely on quantum mechanics to substantiate the analyses, exploiting the contrast between standard versus Bohmian quantum physics (NQP/BQP). To achieve the goal, counterfactual history is mobilized as a means to generate instructive virtual alternatives to the actual scientific path: I design a ‘permuted-situations counterfactual scenario’ in which it is BQP, instead of NQP, that (...) first acquires a monopoly on physics and is exclusively practiced in science education, before NQP is introduced. Then, I endeavor to ‘reenact’ – as forensic investigators carry out the re-enactment of a crime scene – how virtual mainstream Bohmians would assess NQP. Contrasting the two ‘views from inside’ – ‘what it is like to be’ a standard quantum physicist in our world (a physicist trained in NQP) and what it would be like to be a physicist exclusively trained in BQP – I attempt to come as close as possible to an ‘experience’ of the gestalt switch involved when shuttling back and forth between one scientific worldview to the other. The effects of PAD in physics are discussed on this basis. (shrink)

Standard quantum mechanics undeniably violates the notion of separability that classical physics accustomed us to consider as valid. By relating the phenomenon of quantum nonseparability to the all-important concept of potentiality, we effectively provide a coherent picture of the puzzling entangled correlations among spatially separated systems. We further argue that the generalized phenomenon of quantum nonseparability implies contextuality for the production of well-defined events in the quantum domain, whereas contextuality entails in turn a structural-relational conception of (...) quantal objects, viewed as carriers of dispositional properties. It is finally suggested that contextuality, if considered as a conditionalization preparation procedure of the object to be measured, naturally leads to a separable concept of reality whose elements are experienced as distinct, well-localized objects having determinate properties. In this connection, we find it necessary to distinguish the meaning of the term reality from the criterion of reality for us. The implications of the latter considerations for the notion of objectivity in quantum mechanics are also discussed. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Nāgārjuna's Fundamental Doctrine of PratītyasamutpādaEwing ChinnIt seems fitting that the very last verse of Nāgārjuna's challenging work, Mūlamadhyamakakārikā (Fundamental Verses of the Middle Way), would present the reader with what seems to be a riddle: "I prostrate to Gautama, who through compassion, taught the true doctrine, which leads to the relinquishing of all views" (27 :30). This should be read with an earlier verse (13 : 8): "The victorious (...) ones have said that emptiness is the relinquishing of all views. For whomever emptiness is a view, that one will accomplish nothing."1 Since the last chapter deals with questions about the self and the world, it is understandable that so many commentators would assume that the "true doctrine" of which Nāgārjuna speaks is the doctrine of śūnyatā, but that gives a paradoxical character to these verses. Gautama recommends to us a doctrine that all this (we and all that we experience of the world) is śūnya, that is, empty of essence and thus of inherent, independent existence. And does this anti-realist, anti-essentialist view of things (as some would interpret śūnyatā) make possible and even constitute the relinquishing of all views, including his own? It cannot simply be the trivial and disingenuous claim that to accept the truth of śūnyatā is to relinquish all other wrong views. So is Nāgārjuna mysteriously refuting himself? Or is he uttering a paradox?I will argue that there is no paradox or problem of self-refutation, because the true doctrine that Nāgārjuna refers to is not śūnyatā but the doctrine of pratītyasa-mutpāda (dependent arising or origination). And what the verses assert is that if we understand and accept this doctrine, we will no longer have the need or inclination to hold any view about the nature of things, including the inclination to construct a view out of the declaration that "all this is śūnya." How this is possible, how accepting the doctrine makes possible the "relinquishing of all views," certainly depends on what kind of doctrine this is and how it is to be distinguished from a "view." Part of my argument, of course, is that neither pratītyasamutpāda nor the assertion that "all this is śūnya" should be taken as even implying any metaphysical views—either nihilism, absolutism, or anti-realism (the most common metaphysical interpretations). There is no doubt that a major target of Nāgārjuna's philosophical criticism is metaphysical realism. But this does not mean that the critic must hold some alternative metaphysical view.The logical place to begin is chapter 1, "Examination of Conditions," where the subject of discussion is the concept of pratītyasamutpāda, but it is not clear at all what Nāgārjuna is trying to establish about this concept. Jay Garfield, in his recent translation of and commentary on the Mūlamadhyamakakārikā titled The Fundamental Wisdom of the MiddleWay, offers a unique interpretation of the point of this chapter, [End Page 54] and I will follow him to some extent in his analysis of the text.2 However, we will part ways at a crucial point in the chapter with regard to what Nāgārjuna is about.On the Nature and Significance of PratītyasamutpādaIn this first chapter, Garfield notes that "Nāgārjuna distinguishes two possible views of dependent origination or the causal process—one according to which causes bring about their effects in virtue of causal powers and one according to which causal relations simply amount to explanatorily useful regularities—and defends the latter."3 That is to say, according to Garfield, Nāgārjuna defends pratītyasamutpāda as a regularity or Humean theory of causation against an essentialist or realist interpretation. The latter contends that while we may cite one or more factors or events as the causal condition of some effect, it is the force or power in these conditions that is actually the cause of the effect. Nāgārjuna's basic criticism of this realist view is summarized in the fourth verse:Power to act does not have conditions. There... (shrink)

We show that the formulations of non-relativistic quantum mechanics can be derived from an extended least action principle. The principle can be considered as an extension of the least action principle from classical mechanics by factoring in two assumptions. First, the Planck constant defines the minimal amount of action a physical system needs to exhibit during its dynamics in order to be observable. Second, there is constant vacuum fluctuation along a classical trajectory. A novel method is introduced to define (...) the information metrics to measure additional observability due to vacuum fluctuations, which is then converted to an additional action through the first assumption. Applying the variational principle to minimize the total actions allows us to recover the basic quantum formulations including the uncertainty relation and the Schrödinger equation in the position representation. In the momentum representation, the same method can be applied to obtain the Schrödinger equation for a free particle while further investigation is still needed for a particle with an external potential. Furthermore, the principle brings in new results on two fronts. At the conceptual level, we find that the information metrics for vacuum fluctuations are responsible for the origin of the Bohm quantum potential. Even though the Bohm potential for a bipartite system is inseparable, the underlying vacuum fluctuations are local. Thus, inseparability of the Bohm potential does not justify a non-local causal relation between the two subsystems.responsible for manifesting entanglement effects without underlying physical interactions, implying that entanglement effects are non-causal. At the mathematical level, quantifying the information metrics for vacuum fluctuations using more general definitions of relative entropy results in a generalized Schrödinger equation that depends on the order of relative entropy. The extended least action principle is a new mathematical tool. It can be applied to derive other quantum formalisms such as quantum scalar field theory. (shrink)

Quantal penetration through a (stationary) one-dimensional potential barrier is considered as a time evolution of an initially prepared wave packet. The large-time asymptotics of the process is concerned. Locality of the potential imposes certain analytical properties of the interaction amplitudes in the energy representation. The results are presented in terms of development of the phase-space (Wigner's) quasi-distribution. The phase-space evolution kernel is constructed, and it is shown that in the presence of a positive potential no part of the distribution is (...) transported faster than the free particle. For the case of a small initial momentum uncertainty, the deformation of the coordinate density is considered, including a possible advance of its maximum, which would not mean any noncausal signal transport. (shrink)

Classical (Bayesian) probability (CP) theory has led to an influential research tradition for modeling cognitive processes. Cognitive scientists have been trained to work with CP principles for so long that it is hard even to imagine alternative ways to formalize probabilities. However, in physics, quantum probability (QP) theory has been the dominant probabilistic approach for nearly 100 years. Could QP theory provide us with any advantages in cognitive modeling as well? Note first that both CP and QP theory share (...) the fundamental assumption that it is possible to model cognition on the basis of formal, probabilistic principles. But why consider a QP approach? The answers are that (1) there are many well-established empirical findings (e.g., from the influential Tversky, Kahneman research tradition) that are hard to reconcile with CP principles; and (2) these same findings have natural and straightforward explanations with quantum principles. In QP theory, probabilistic assessment is often strongly context- and order-dependent, individual states can be superposition states (that are impossible to associate with specific values), and composite systems can be entangled (they cannot be decomposed into their subsystems). All these characteristics appear perplexing from a classical perspective. However, our thesis is that they provide a more accurate and powerful account of certain cognitive processes. We first introduce QP theory and illustrate its application with psychological examples. We then review empirical findings that motivate the use of quantum theory in cognitive theory, but also discuss ways in which QP and CP theories converge. Finally, we consider the implications of a QP theory approach to cognition for human rationality. (shrink)

Quantum uncertainty relations have deep-rooted significance in the formalism of quantum mechanics. Heisenberg’s uncertainty relations attracted a renewed interest for its applications in quantum information science. Following the discovery of the Heisenberg uncertainty principle, Robertson derived a general form of Heisenberg’s uncertainty relations for a pair of arbitrary observables represented by Hermitian operators. In the present work, we discover a temporal version of the Heisenberg–Robertson uncertainty relations for the measurement of two observables at two different times, where (...) the dynamical uncertainties crucially depend on the time evolution of the observables. The uncertainties not only depend on the choice of observables but also depend on the times at which the physical observables are measured. The time correlated two-time commutator dictates the trade-off between the dynamical uncertainties. We demonstrate the dynamics of these uncertainty relations for a spin-1/2 quantum system and for a quantum harmonic oscillator. We also present the dynamical uncertainty relation in terms of entropies, where the temporal entropic uncertainties are restricted by a time-dependent complementarity factor. The temporal uncertainty relations explored in this work can be experimentally verified with the present quantum technology. (shrink)

There is persistent heterodoxy in the physics literature concerning the proper treatment of those quantons that are unstable against decay. Following a brief litany of this heterodoxy, I develop some of the consequences of assuming that such quantons can exist, undecayed and isolated, at definite times and that their treatment can be carried out within a standard quantum theoretic state space. This assumption requires hyperplane dependence for the unstable quanton states and leads to clarification of some recent results (...) concerning deviations from relativistic time dilation of decay lifetimes. In the course of the discussion I make some observations on the relationship of unstable quantons to quantum fields. (shrink)

The finite age of the universe and the existence of cosmological horizons provides a strong argument that the observable universe represents a finite causal region with finite material and informational resources. A similar conclusion follows from the holographic principle. In this paper I address the question of whether the cosmological information bound has implications for fundamental physics. Orthodox physics is based on Platonism: the laws are treated as infinitely precise, perfect, immutable mathematical relationships that transcend the physical universe and remain (...) totally unchanged by physical processes, however extreme. If instead the laws of physics are regarded as akin to computer software, with the physical universe as the corresponding hardware, then the finite computational capacity of the universe imposes a fundamental limit on the precision of the laws and the specifiability of physical states. That limit depends on the age of the universe. I examine how the imprecision of the laws impacts on the evolution of highly entangled states and on the problem of dark energy. (shrink)

It has long been thought that observing distinctive traces of quantum gravity in a laboratory setting is effectively impossible, since gravity is so much weaker than all the other familiar forces in particle physics. But the quantum gravity phenomenology community today seeks to do the (effectively) impossible, using a challenging novel class of `tabletop' Gravitationally Induced Entanglement (GIE) experiments, surveyed here. The hypothesized outcomes of the GIE experiments are claimed by some (but disputed by others) to provide a (...) `witness' of the underlying quantum nature of gravity in the non-relativistic limit, using superpositions of Planck-mass bodies. We inspect what sort of achievement it would possibly be to perform GIE experiments, as proposed, ultimately arguing that the positive claim of witness is equivocal. Despite various sweeping arguments to the contrary in the vicinity of quantum information theory or given low-energy quantum gravity, whether or not one can claim to witness the quantum nature of the gravitational field in these experiments decisively depends on which out of two legitimate modelling paradigms one finds oneself in. However, by situating GIE experiments in a tradition of existing experiments aimed at making gravity interestingly quantum in the laboratory, we argue that, independently of witnessing or paradigms, there are powerful reasons to perform the experiments, and that their successful undertaking would indeed be a major advance in physics. (shrink)