In the _The Undivided Universe_, David Bohn and Basil Hiley present a radically different approach to quantum theory. They develop an interpretation of quantum mechanics which gives a clear, intuitive understanding of its meaning and in which there is a coherent notion of the reality of the universe without assuming a fundamental role for the human observer. With the aid of new concepts such as active information together with non-locality, they provide a comprehensive account of all the basic features (...) of quantum mechanics, including the relativistic domain and quantum field theory. It is shown that, with the new approach, paradoxical or unsatisfactory features associated with the standard approaches, such as the wave-particle duality and the collapse of the wave function, do not arise. Finally, the authors make new suggestions and indicate some areas in which one may expect quantum theory to break down in a way that will allow for a test. _The Undivided Universe_ is an important book especially because it provides a different overall world view which is neither mechanistic nor reductionist. This view will ultimately have radical implications not only in physics but also in our general approach to all areas of life. (shrink)
Mainstream cognitive neuroscience typically ignores the role of quantum physical effects in the neural processes underlying cogni¬tion and consciousness. However, many unsolved problems remain, suggesting the need to consider new approaches. We propose that quantum theory, especially through an ontological interpretation due to Bohm and Hiley, provides a fruitful framework for addressing the neural correlates of cognition and consciousness. In particular, the ontological interpretation suggests that a novel type of 'active information', connected with a novel type of 'quantum potential energy', (...) plays a key role in quantum physical processes. After introducing the ontological interpretation we illustrate its value for cognitive neuroscience by discussing it in the light of a proposal by Beck and Eccles about how quantum tunneling could play a role in controlling the frequency of synaptic exocytosis. In this proposal, quantum tunneling would enable the 'self' to control its brain without violating the energy conservation law. We argue that the ontological interpretation provides a sharper picture of what actually could be taking place in quantum tunneling in general and in synaptic exocytosis in particular. Based on the notions of active information and quantum potential energy, we propose a coherent way of understanding how mental processes (understood as involving non-classical physical processes) can act on traditional, classically describable neural processes without violating the energy conservation law. (shrink)
These essays represent an important contribution to modern philosophical theology. They begin with an appreciation of Basil Mitchell's work and then discuss the role of reason in the justification of Christian theism, giving special attention to the nature of informal reasoning in religion and science. The latter essays examine particular arguments raised by specific religious concepts, covering such topics as the problem of evil, conspicuous sanctity, atonement, and the Eucharist. Drawn from a wide spectrum of philosophers and theologians, the (...) contributors include Maurice Wiles, Grace M. Jantzen, Gordon Kaufman, J.R. Lucas, Rom Harr'e, Richard Swinburne, and Michael Dummett. (shrink)
The imprints left by quantum mechanics in classical (Hamiltonian) mechanics are much more numerous than is usually believed. We show that the Schrödinger equation for a nonrelativistic spinless particle is a classical equation which is equivalent to Hamilton’s equations. Our discussion is quite general, and incorporates time-dependent systems. This gives us the opportunity of discussing the group of Hamiltonian canonical transformations which is a non-linear variant of the usual symplectic group.
The necessary appearance of Clifford algebras in the quantum description of fermions has prompted us to re-examine the fundamental role played by the quaternion Clifford algebra, C 0,2 . This algebra is essentially the geometric algebra describing the rotational properties of space. Hidden within this algebra are symplectic structures with Heisenberg algebras at their core. This algebra also enables us to define a Poisson algebra of all homogeneous quadratic polynomials on a two-dimensional sub-space, $\mathbb{F}^{a}$ of the Euclidean three-space. This enables (...) us to construct a Poisson Clifford algebra, ℍ F , of a finite dimensional phase space which will carry the dynamics. The quantum dynamics appears as a realisation of ℍ F in terms of a Clifford algebra consisting of Hermitian operators. (shrink)
L'argumentation de Basile gravite tout entière, à travers l'exégèse biblique élaborée par la tradition, autour de la sémantique des prépositions doxologiques de la liturgie. C'est la seule clef de lecture, fournie par lui-même, qui garantisse l'homogénéité de structure de l'ensemble de l’œuvre. Sa « Théologie » ou doctrine de la Trinité, cautionnée par le Symbole de foi de Constantinople I, met en lumière « l'Économie » ou disposition trinitaire de l'histoire du salut, qui associe indissolublement l'Esprit Saint à la mission (...) du Fils, tout en « appropriant » à l'Esprit, « Don de Dieu », la mission sanctifiante et illuminatrice d'introduire dans la « familiarité » de Dieu.Basil's argument gravitates, in its entirety, around the semantics of doxological propositions in the liturgy. This is done by means of biblical exegesis elaborated by tradition. Il is the only key to an understanding, provided by himself, that guarantees the homogeneous structure of the work’s ensemble. His « Theology » or doctrine of the Trinity, supported by the Symbol of faith of Constanti- nople I, sheds light on the « Economy » or the Trinitarian disposition of salvation history, which indissolubly associates the Holy Spirit to the Son’s mission. At the same time it « appropriates » to the Spirit, « Gift of God », the sanctifying and illuminating mission that leads the way to « familiarity » of God. (shrink)
L'âpreté des débats qui eurent lieu, notamment en Cappadoce entre 360 et 378, en pleine crise arienne, autour de la nature et de la personne du Saint-Esprit, ainsi que la diversité des opinions à l'intérieur même des camps opposés sur cette question, rendent délicate l'identification exacte des adversaires combattus par Basile de Césarée en 375 dans son traité Sur le Saint-Esprit, l'un des premiers du genre, d'autant plus que lui-même trouva des contradicteurs dans les rangs de ses propres amis. Dédié (...) à son disciple Amphiloque d'Iconium, le traité vise essentiellement, au-delà d'Aèce, son compatriote Eunome, toujours vivant et virulent, que Basile avait déjà combattu vers 360-363, le théoricien arien radical de la « dissemblance » et de la « subordination » de l'Esprit au Fils et au Père, manifestement visé ici par le vocabulaire de la « connumération » et de la « coordination ». La critique contemporaine avait pensé que le principal adversaire de Basile serait son ancien maître en ascétisme Eustathe évêque de Sébaste, qui tenait sur l'Esprit une doctrine ambiguë, ne voulant le ranger « ni avec Dieu ni avec les créatures ». Sans l'exclure du nombre des adversaires, le vocabulaire et l'argumentation du traité, sans rapport avec ceux de la Lettre 125 de Basile à Eustathe, obligent à abandonner cette interprétation pour rendre la priorité à Eunome. The acrimonious debates that took place concerning the nature and person of the Holy Spirit, especialy during the Arian crisis in Cappadocia from 360 to 378, as well as the diversity of opinions within the opposing camps, makes it difficult to identify the adversaries of Basil of Caesarea in his treatise On the Holy Spirit , unique for his time. The problem is even greater because Basil found himself at odds with his own friends. Dedicated to his disciple Amphilocus of Iconium, the treatise was aimed, essentially, beyond Aëtios, at his virulent compatriot Eunomius. Basil had already engaged him around 360-363. A radical Arian theoretician of the “dissemblance” and of “subordination” of the Spirit to the Son and Father, Eunomius was clearly targeted by the vocabulary of the “connumeration” and “coordination”. Contemporary criticism thought that the principal adversary of Basil could have been his old master in asceticism, Eustathius , who held an ambiguous doctrine about the Spirit, not wishing to place it “either with God or with creatures”. Without excluding him from the number of adversaries, the vocabulary and argumentation of the treatise, which are unconnected to those of Basil's Letter 125 to Eustathius, oblige us to abandon this interpretation and give priority to Eunomius. (shrink)
