According to the standard view, the so-called ‘Copenhagen interpretation’ of quantum mechanics originated in discussions between Bohr and Heisenberg in 1927, and was defended by Bohr in his classic debate with Einstein. Yet recent scholarship has shown Bohr’s views were never widely accepted, let alone properly understood, by his contemporaries, many of whom held divergent views of the ‘Copenhagen orthodoxy’. This paper examines how the ‘myth of the Copenhagen interpretation’ was constructed by situating it in the context of Soviet Marxist (...) critique of quantum mechanics in the 1950s and the response by physicists such as Heisenberg and Rosenfeld. (shrink)

The various physical aspects of the general relativistic principles of covariance and strong equivalence are discussed, and their mathematical formulations are analyzed. All these aspects are shown to be present in classical general relativity, although no contemporary formulation of canonical or covariant quantum gravity has succeeded to incorporate them all. This has, in part, motivated the recent introduction of a geometro-stochastic framework for quantum general relativity, in which the classical frame bundles that underlie the formulation of parallel transport in classical (...) general relativity are replaced by quantum frame bundles. It is shown that quantum frames can take over the role played by complete sets of observables in conventional quantum theory, so that they can mediate the natural transference of the general covariance and the strong equivalence principles from the classical to the quantum general relativistic regime. This results in a geometrostochastic mode of quantum propagation in general relativistic quantum bundles, which is mathematically implemented by path integration methods based on parallel transport along horizontal lifts of geodesics for the vacuum expectation values of a quantum gravitational field in a quantum spacetime supermanifold. The covariance features of this field are embedded in a quantum gravitational supergroup, which incorporates Poincaré as well as diffeomorphism invariance, and resolves the issue of time in quantum gravity. (shrink)

Hard-nosed physicists are content with elementary quantum mechanics as it is. Deep searchers desire a deeper comprehension of the theory or rather of reality. Observable internal correlations in micro-systems and external correlations between widely separated parts can be calculated at the office. But how can for that purpose indispensable information be observed, coded and stored and transmitted in the real systems?A spectacular example is Einstein-Podolsky-Rosen entanglement. How can one part know what has been or will be happening at the other (...) distant part? (shrink)

As the title, The Entangled State of God and Humanity suggests, this lecture dispenses with the pre-Copernican, patriarchal, anthropomorphic image of God while presenting a case for a third millennium theology illuminated by insights from archetypal depth psychology, quantum physics, neuroscience and evolutionary biology. It attempts to smash the conceptual barriers between science and religion and in so doing, it may contribute to a Copernican revolution which reconciles both perspectives which have been apparently irreconcilable opposites since the sixteenth century. The (...) published work of C.G. Jung, Wolfgang Pauli, David Bohm and Teilhard de Chardin outline a process whereby matter evolves in increasing complexity from sub-atomic particles to the human brain and the emergence of a reflective consciousness leading to a noosphere evolving towards an Omega point. The noosphere is the envelope of consciousness and meaning superimposed upon the biosphere a concept central to the evolutionary thought of visionary Jesuit palaeontologist Pierre Teilhard de Chardin (The Phenomenon of Man). -/- His central ideas, like those of Jung with his archetypes, in particular that of the Self, provide intimations of a numinous principle implicit in cosmology and the discovery that in and through humanity, evolution becomes not only conscious of itself but also directed and purposive. Although in Jung’s conception it was a “late-born offspring of the unconscious soul”, consciousness has become the mirror which the universe has evolved to reflect upon itself and in which its very existence is revealed. Without consciousness, the universe would not know itself. The implication for process theology is that God and humanity are in an entangled state so that the evolution of God cannot be separated from that of humankind. -/- A process (Incarnational) theology inseminated by the theory of evolution is one in which humankind completes the individuation of God towards the wholeness represented for instance in cosmic mandala symbols (Jung, Collected Works, vol. 11). Jung believed that God needs humankind to become conscious, whole and complete, a thesis explored in my book The Individuation of God: Integrating Science and Religion (Wilmette, IL: Chiron Publications 2012). This process theology like that implicit in the work of Teilhard de Chardin, is panentheistic so that God is immanent in nature though not identical with it (Atmanspacher: 2014: 284). (shrink)

The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this relationship is partly historical and conceptual, but mostly technical and mathematically rigorous, including over 500 references. For example, we sketch how certain intuitive ideas of the founders of quantum theory have fared in the light of current mathematical knowledge. One such idea that has certainly stood the test of time is (...) Heisenberg's `quantum-theoretical Umdeutung (reinterpretation) of classical observables', which lies at the basis of quantization theory. Similarly, Bohr's correspondence principle (in somewhat revised form) and Schroedinger's wave packets (or coherent states) continue to be of great importance in understanding classical behaviour from quantum mechanics. On the other hand, no consensus has been reached on the Copenhagen Interpretation, but in view of the parodies of it one typically finds in the literature we describe it in detail. On the assumption that quantum mechanics is universal and complete, we discuss three ways in which classical physics has so far been believed to emerge from quantum physics, namely in the limit h -> 0 of small Planck's constant (in a finite system), in the limit N goes to infinity of a large system with $N$ degrees of freedom (at fixed h), and through decoherence and consistent histories. The first limit is closely related to modern quantization theory and microlocal analysis, whereas the second involves methods of C*-algebras and the concepts of superselection sectors and macroscopic observables. In these limits, the classical world does not emerge as a sharply defined objective reality, but rather as an approximate appearance relative to certain ``classical" states and observables. Decoherence subsequently clarifies the role of such states, in that they are ``einselected", i.e. robust against coupling to the environment. Furthermore, the nature of classical observables is elucidated by the fact that they typically define (approximately) consistent sets of histories. This combination of ideas and techniques does not quite resolve the measurement problem, but it does make the point that classicality results from the elimination of certain states and observables from quantum theory. Thus the classical world is not created by observation (as Heisenberg once claimed), but rather by the lack of it. (shrink)