The strangeness of modern physics has sparked several popular books--such as The Tao of Physics--that explore its affinity with Eastern mysticism. But the founders of quantum mechanics were educated in the classical traditions of Western civilization and Western philosophy. In Nature Loves to Hide, physicist Shimon Malin takes readers on a fascinating tour of quantum theory--one that turns to Western philosophical thought to clarify this strange yet inescapable explanation of reality. Malin translates quantum mechanics into plain English, explaining its origins (...) and workings against the backdrop of the famous debate between Niels Bohr and the skeptical Albert Einstein. Then he moves on to build a philosophical framework that can account for the quantum nature of reality. He shows, for instance, how Platonic and Neoplatonic thought resonates with quantum theory. He draws out the linkage between the concepts of Neoplatonism and the more recent process philosophy of Alfred North Whitehead. The universe, Whitehead wrote, is an organic whole, composed not of lifeless objects, but "elementary experiences." Beginning with Whitehead's insight, Malin shows how this concept of "throbs of experience" expresses quantum reality, with its subatomic uncertainties, its constituents that are waves and also particles, its emphasis on acts of measurement. Once any educated person could explain the universe as a vast Newtonian web of cause and effect, but since quantum theory, reality again appears to be richer and more mysterious than we had thought. Writing with broad humanistic insight and deep knowledge of science, and using delightful conversations with fictional astronauts Peter and Julie to explain more difficult concepts, Shimon Malin offers a profound new understanding of the nature of reality--one that shows a deep continuity with aspects of our Western philosophical tradition going back 2500 years, and that feels more deeply satisfying, and truer, than the clockwork universe of Newton. (shrink)

This is the first in a series of papers in which a method of harmonic analysis in terms of functions over the groupSU(2) is applied to the description of interaction between matter and the electromagnetic field. Carmeli'sSU(2) formulation of Maxwell's equations is extended to anSU(2) formulation of the equations for the electromagnetic vector potential. The four functions which describe the vector potential are expanded in a generalized Fourier series [SU(2) harmonic analysis] and the equations for the coefficients are derived. These (...) equations are not independent of each other, but in a given order they can be solved consecutively one at a time. (shrink)

Certain properties of the Bell-type correlations and, in particular, the impossibility of using them to transmit signals faster than light, are investigated from the point of view of the conceptual structure of quantum mechanics and of Whitehead's process philosophy. The collapses of quantum states are shown to correspond to perspectives of different frames of reference on a Whiteheadian process of self-creation of actual entities. The analysis suggests a fundamental limitation on the capacity to describe the propagation of influences among the (...) results of measurements at space-like separation. It is further shown that, if Whitehead's framework is modified in a specific way, it accounts very well for the apparent existence of superluminal influences, and for the impossibility of using them for superluminal communication. (shrink)

Recent investigations have conclusively proved that, because of their collapse, quantum states transform noncovariantly under Lorentz transformations. This result is shown to imply that quantum states do not represent probability distributions for the results of measurements. They represent, rather, perspectives of such probability distributions from the point of view of the frame of reference in which they are given. The ontological status of these “perspectives of potentialities” is discussed. It is conjectured that they propagate from the location of a measurement (...) to the origins of all frames of reference at the speed of light. (shrink)

There is no unique way to generalize the mass operator 0 2 −p · p to curved spacetimes. The possible generalizations using either an analytic or an algebraic (group-theoretic) approach are discussed. We investigate in detail three possibilities: (i) the generalized D'Alembertian $$- \tilde \square = - (1/\sqrt { - g} )(\partial /\partial x^v )(\sqrt { - g} g^{\mu v} {\text{ }}\partial /\partial x^\mu$$ (ii) the operator ( $- (\tilde \square + \tfrac{1}{6}{\text{R)}}$ , which is conformally invariant in the massless (...) case, and (iii) an operator suggested by Meggs for Robertson-Walker spacetimes. A criterion for choosing among the different possibilities is proposed. It is used to eliminate the Meggs operator, but is not stringent enough to decide between the other two. (shrink)

In a previous article it was shown that in general quantum states represent perspectives on the potentialities of quantum systems, rather than the potentialities themselves. In the present paper the following questions are investigated in the context of this result: (1) How do quantum states which undergo collapse transform under pure translations? (2) Under what conditions do quantum states represent the potentialities themselves? Two alternatives are presented in response to the first question: (1) Quantum states are scalars under translations. (2) (...) The collapse of a quantum state propagates between frames of reference at the speed of light. The advantages and disadvantages of the two alternatives are discussed. The response to the second question is shown to depend on the chosen alternative. In addition, the second alternative is shown to lead to a consistent view of quantum states as “potential perspectives on potentialities.”. (shrink)

Though grassroots organizations have mobilized against US environmental injustices since; the 1980s, academic definitions of environmental justice (EJ) remain limited in important ways, including: a tendency to privilege cases where activists achieve a successful, ‘tidy’ outcome; inattention to roles natural resource dependence and free market systems play in structuring environmental inequality; and a tendency to under-analyze alternative notions of EJ that result, utilized by activists who prioritize local autonomy and procedural justice in land-use decision making. Here, I argue that these (...) alternative notions of EJ help mobilize divergent forms of EJ activism-‘sites of resistance’ to industrial production systems and their risks, and ‘sites of acceptance’ to those same practices. To illustrate, I explore extensive mixed method data in the context of energy development and sites of acceptance related to uranium production in the southwestern United States. I show how alternative notions of EJ are shaped by identification with uranium production, persistent poverty and economic insecurity, and faith that increased uranium production will fuel US nuclear power production and help combat global climate change. (shrink)

A Dirac-type equation on R×S 3 topology is derived. It is a generalization of the previously obtained Klein-Gordon-type, Schrödinger-type, and Weyl-type equations, and reduces to the latter in the appropriate limit. The (discrete) energy spectrum is found and the corresponding complete set of solutions is given as expansions in terms of the matrix elements of the irreducible representations of the group SU 2 . Finally, the properties of the solutions are discussed.

A Weyl-type equation onR×S 3 topology is derived, as a generalization to previously obtained Klein-Gordon- and Schrödinger-type equations for the same topology. The general solution of the new equation is given as an expansion in the matrix elements of the irreducible representations of the groupSU 2. The properties of the solutions are discussed.

In a previous article by two of the present authors Carmeli's group-theoretic method for the formulation of wave equations was applied to the case of the electromagnetic field, and the equations for the vector potential were derived. In the present paper a quantization procedure for these equations is carried out in the Lorentz gauge. It involves two independent variables, corresponding to the number of degrees of freedom of the electromagnetic field in a Hilbert space with a positive-definite metric. Conserved quantities (...) are derived. (shrink)

We extend to curved space-time the field theory on R×S3 topology in which field equations were obtained for scalar particles, spin one-half particles, the electromagnetic field of magnetic moments, an SU2 gauge theory, and a Schrödinger-type equation, as compared to ordinary field equations that are formulated on a Minkowskian metric. The theory obtained is an angular-momentum representation of gravitation. Gravitational field equations are presented and compared to the Einstein field equations, and the mathematical and physical similarity and differences between them (...) are pointed out. The problem of motion is discussed, and the equations of motion of a rigid body are developed and given explicitly. One result which is worth emphazing is that while general relativity theory yields Newton's law of motion in the lowest approximation, our theory gives Euler's equations of motion for a rigid body in its lowest approximation. (shrink)

The equations of electrodynamics for the interactions between magnetic moments are written on R×S3 topology rather than on Minkowskian space-time manifold of ordinary Maxwell's equations. The new field equations are an extension of the previously obtained Klein-Gordon-type, Schrödinger-type, Weyl-type, and Dirac-type equations. The concept of the magnetic moment in our case takes over that of the charge in ordinary electrodynamics as the fundamental entity. The new equations have R×S3 invariance as compared to the Lorentz invariance of Maxwell's equations. The solutions (...) of the new field equations are given. In this theory the divergence of the electric field vanishes whereas that of the magnetic field does not. (shrink)

A gauge theory on R×S 3 topology is developed. It is a generalization to the previously obtained field theory on R×S 3 topology and in which equations of motion were obtained for a scalar particle, a spin one-half particle, the electromagnetic field of magnetic moments, and a Shrödinger-type equation, as compared to ordinary field equations defined on a Minkowskian manifold. The new gauge field equations are presented and compared to the ordinary Yang-Mills field equations, and the mathematical and physical differences (...) between them are discussed. (shrink)

The collapse of quantum states is analyzed in terms of a breakdown into two generic phases: Phase I, in which the field of potentialities that the quantum state represents undergoes a discontinuous and unpredictable change into one of the base states which corresponds to the measurement performed, and phase II, in which a transition from the level of potentialities to the level of actualities takes place. Phase I is discussed in relation to a comment about collapse, made by Dirac in (...) conversation with the author, “Nature makes a choice.” An analysis of phase II leads to the suggestion that it occurs only through and as an act of experience. This postulate is shown to elucidate basic questions regarding the interpretation of quantum mechanics, such as the elusive demarcation line between the classical and quantum domains, and the controversy of the ontological vs. epistemological interpretation of quantum mechanics. (shrink)