ZusammenfassungOhne einen speziellen philosophischen 〈ismus〉 zu akzeptieren und zu bevorzugen, werden die Begriffe 〈Phänomen〉 und 〈Realität〉 vom Stand‐punkt der täglichen Praxis des Physikers analysiert. Die logische Struktur der physikalischen Theorien, einschliesslich ihre charakteristischen Bezie‐hungen zu Beobachtung und Experiment, wird kurz aufgezeigt an Hand der klassischen Mechanik, der klassischen relativistischen Feldtheorie und Quantenmechanik als Beispiele. Es wird nachdrücklich betont, dass die Physiker ihre Wissenschaft als in Entwicklung begriffen ansehen. Das Problem stellt sich deshalb nie so, ob die gegenwärtigen Theorien gleich bleiben (...) werden, wie sie jetzt sind oder nicht, sondern vielmehr, in welcher Richtung sie sich ändern werden. (shrink)

SummaryIn this article I was guided outside my special branch of science, by coincidences of the sense of the ideas occuring almost simultaneously in different sciences : correspondence, complementary pairs of opposites and wholeness appear independently both in physics as well as in the ideas of the unconscious. The unconscious t itself has a certain analogy to the field in physics and both are shifted by an observational problem, outside the range of visualibility into the paradoxical. Although in physics one (...) does not speak of archetypes which reproduce themselves, but of statistical laws of nature with primary probabilities, both formulations meet in the tendency to amplify the older more narrow idea of causality to a more general form of connections in nature, toward which the psycho‐physical problem also points. This way of consideration leads me to the expectation, that the ideas on the unconscious will not be developed further in the narrow frame of its therapeutic applications, but that their junction with the general stream of the natural sciences of the phenomena of life will be decisive for them. (shrink)

Im Alter von 21 Jahren hat W. Pauli einen Handbuchartikel zur Relativitätstheorie verfaßt, der bis heute gelesen und zitiert wird. Er ist wohl der berühmteste Text zum Thema und wurde nicht zuletzt von A. Einstein begeistert gewürdigt. Die vorliegende Neuausgabe enthält den Originalartikel sowie weitere, teilweise recht ausführliche Ergänzungen, die Pauli im Jahre 1956 für die englische Ausgabe schrieb. Eine Reihe von Anmerkungen des Herausgebers dienen darüber hinaus als Lesehilfen und zeigen Verbindungen zu modernen Entwicklungen auf.

This article analyses an episode in the earlyhistory of quantum theory: the controversy betweenPauli and Heisenberg about the anomalous Zeemaneffect, which was a main stumbling block for the oldquantum theory of Bohr. It is argued that theindividual philosophical views of both Pauli andHeisenberg directed their attempts to solve theanomaly and decisively influenced the solutions theyproposed. The results of this case study arecompared with the assertions of four theories ofscientific change, namely those of Kuhn, Lakatos,Laudan and Giere.

The statement that masks were not introduced on the Roman stage until after the time of Terence is still repeated by editors and has the support of Pauly Wissowa as well as Daremberg and Saglio ; it may, in fact, be regarded as generally accepted. Yet so long ago as 1912 A. S. F. Gow put forward strong arguments on the opposite side; his article, though mentioned with respect in Bursian and referred to by Schanz-Hosius , has not yet been (...) satisfactorily answered, so far as I am aware. Gow did not claim that a final solution of this problem could be attained on our present evidence, but he did show that the orthodox position is open to attack. I hope to prove that the arguments in favour of the early use of masks are even stronger than he claimed. (shrink)

Any physical theory which seriously proposes that events in the future may be the efficient causes of events in the past certainly may be regarded—at least at first glance—as a rather revolutionary doctrine. In a recent issue of the Reviews of Modern Physics commemorating Niels Bohr's sixtieth birthday, and under the editorship of the latest Nobel Prize winner in physics, W. Pauli, there appeared such a theory—written by Bohr's former student, J. A. Wheeler and Wheeler's associate at Princeton, R. (...) P. Feynman. The title of their paper appears harmless enough: “Interaction with the Absorber as the Mechanism of Radiation.” It is one part of a more comprehensive three-part paper intended for later publication as a general constructive critique of classical field theory and of the theory of action at a distance as propounded by Schwarzschild and Fokker. (shrink)

I propose a general geometric framework in which to discuss the existence of time observables. This framework allows one to describe a local sense in which time observables always exist, and a global sense in which they can sometimes exist subject to a restriction on the vector fields that they generate. Pauli׳s prohibition on quantum time observables is derived as a corollary to this result. I will then discuss how time observables can be regained in modest extensions of quantum (...) theory beyond its standard formulation. (shrink)

This paper studies the model of the quantum electrodynamics (QED) of a single nonrelativistic electron due to W. Pauli and M. Fierz and studied further by P. Blanchard. This model exhibits infrared divergence in a very simple context. The infrared divergence is associated with the inequivalence of the Hilbert spaces associated with the free Hamiltonian and with the complete Hamiltonian. Infrared divergences that are visible in the perturbative description disappear in the space of the clothed electrons. In this model (...) when the Hamiltonian is expressed in terms of the “physical” fields that create the electron together with its cloud of soft photons, the variational principle suggested earlier can be applied. At finite time the Heisenberg field of the model acts in the space of the perturbative electron together with a finite number of perturbative photons, while the “physical” field can be chosen to act in the space of the exact (“physical”) electron eigenstates together with a finite number of physical photons. The space of the physical (or clothed) electron states can be chosen to be a Fock space. (shrink)

The statement that masks were not introduced on the Roman stage until after the time of Terence is still repeated by editors and has the support of Pauly Wissowa as well as Daremberg and Saglio ; it may, in fact, be regarded as generally accepted. Yet so long ago as 1912 A. S. F. Gow put forward strong arguments on the opposite side; his article, though mentioned with respect in Bursian and referred to by Schanz-Hosius, has not yet been satisfactorily (...) answered, so far as I am aware. Gow did not claim that a final solution of this problem could be attained on our present evidence, but he did show that the orthodox position is open to attack. I hope to prove that the arguments in favour of the early use of masks are even stronger than he claimed. (shrink)

Lüders and Pauli proved the $\mathcal{CPT}$ theorem based on Lagrangian quantum field theory almost half a century ago. Jost gave a more general proof based on “axiomatic” field theory nearly as long ago. The axiomatic point of view has two advantages over the Lagrangian one. First, the axiomatic point of view makes clear why $\mathcal{CPT}$ is fundamental—because it is intimately related to Lorentz invariance. Secondly, the axiomatic proof gives a simple way to calculate the $\mathcal{CPT}$ transform of any relativistic (...) field without calculating $\mathcal{C}$ , $\mathcal{P}$ and $\mathcal{T}$ separately and then multiplying them. The purpose of this pedagogical paper is to “deaxiomatize” the $\mathcal{CPT}$ theorem by explaining it in a few simple steps. We use theorems of distribution theory and of several complex variables without proof to make the exposition elementary. (shrink)

Knowledge of the entanglement properties of the wave functions commonly used to describe quantum many-particle systems can enhance our understanding of their correlation structure and provide new insights into quantum phase transitions that are observed experimentally or predicted theoretically. To illustrate this theme, we first examine the bipartite entanglement contained in the wave functions generated by microscopic many-body theory for the transverse Ising model, a system of Pauli spins on a lattice that exhibits an order-disorder magnetic quantum phase transition (...) under variation of the coupling parameter. Results for the single-site entanglement and measures of two-site bipartite entanglement are obtained for optimal wave functions of Jastrow-Hartree type. Second, we address the nature of bipartite and tripartite entanglement of spins in the ground state of the noninteracting Fermi gas, through analysis of its two- and three-fermion reduced density matrices. The presence of genuine tripartite entanglement is established and characterized by implementation of suitable entanglement witnesses and stabilizer operators. We close with a broader discussion of the relationships between the entanglement properties of strongly interacting systems of identical quantum particles and the dynamical and statistical correlations entering their wave functions. (shrink)

Quantum mechanics was initiated with the object of allowing only observable concepts to enter into the theory. The new mechanics has, however, inherited the old difficulty with the conservation laws involved in beta decay, and this led Pauli, about 1931, to introduce the idea of the neutrino, with the object of reconciling the facts of beta decay with the conservation laws. The neutrino, as it was proposed by Pauli and as accepted today, is a particle devoid both of (...) mass and charge, but having a spin 1/2 and obeying the Fermi statistics. In 1934 Fermi founded his theory of beta disintegration based on the neutrino. The Fermi theory assumes that this hypothetical particle is emitted simultaneously with the disintegrating electron and carries off the excess energy, thereby reconciling the conservation laws with beta disintegration. It will be remembered that the continuous distribution in energy of the beta particles is such that, except at the maximum energy end point of the beta spectra, there is more energy available from the disintegration than is emitted in the form of beta particles. (shrink)

G. Breit's original paper of 1929 postulates the Breit equation as a correction to an earlier defective equation due to Eddington and Gaunt, containing a form of interaction suggested by Heisenberg and Pauli. We observe that manifestly covariant electromagnetic Two-Body Dirac equations previously obtained by us in the framework of Relativistic Constraint Mechanics reproduce the spectral results of the Breit equation but through an interaction structure that contains that of Eddington and Gaunt. By repeating for our equation the analysis (...) that Breit used to demonstrate the superiority of his equation to that of Eddington and Gaunt, we show that the historically unfamiliar interaction structures of Two-Body Dirac equations (in Breit-like form) are just what is needed to correct the covariant Eddington Gaunt equation without resorting to Breit's version of retardation. (shrink)

The Einstein equations can be written as Fierz-Pauli equations with self-interaction, $W\gamma _{ik} = - G_{ik} + \tfrac{1}{2}g_{ik} g^{mn} G_{mn} - k(T_{ik} - \tfrac{1}{2}g_{ik} g^{mn} T_{mn} )$ together with the covariant Hilbert-gauge condition, $(\gamma _i^h - \tfrac{1}{2}\delta _i^k g^{mn} \gamma _{mn} )_{;k} = 0$ where W denotes the covariant wave operator and G ik the Einstein tensor of the metric g ik collecting all nonlinear terms of Einstein's equations. As is known, there do not, however, exist plane-wave solutions γ (...) ik(z)with g ik Z,i Z,k=0of these equations such that what is essential to the introduction of gravitons is not satisfied in general relativity. This nonexistence corresponds with the uncertainty relation,Δp(Δg*)2(Δx)3≥h hG/ c 3 concerning the total nonlinear gravitational field g *ik =g k +γ k. (shrink)

The article compares views of C.G. Jung and N.O. Lossky on the nature of time, including in the context of contemporary to them physical theories - quantum mechanics by W. Pauli and relativistic physics by A. Einstein. In particular, the author points to the similarity of ideas of both thinkers that the psyche relativizes time not only subjectively, but also objectively. Jung and Lossky provide this statement with a similar empirical basis, for example, the researches of T. Flournoy, as (...) well as similar theoretical arguments by postulating a fundamental acausal principle of the connection of all things, which is better suited for describing psychic and some physical phenomena than the classical causal explanation. In analytical psychology, such a principle is synchronicity, in hierarchical personalism - gnoseological coordination. Both concepts are genetically related to the G.W. Leibniz idea of pre-established harmony, which was reinterpreted by Jung and Lossky through different worldview foundations. Jung in his reasoning relied on the transcendental idealism of I. Kant, the principle of complementarity and the discoveries of quantum mechanics, Lossky - on intuitivism, the principle of subordination and on his own interpretation of Einsteins theories. Jung comes to the conclusion that the psyche has a timeless character, and Lossky comes to the conclusion that it has a super-temporal character. Jungs timelessness indicates the transcendental nature of psyche and the strive to get away from the classical causal explanation, saving it according to the principle of complementarity only to consider the phenomenal side of being and mainly physical processes. One of the pioneers of quantum mechanics Pauli was of the same opinion in general. Because of there is nothing transcendent in hierarchical personalism, Losskys super-temporality is of a strive to find a deeper basis for occurring in time processes, and, according to the principle of subordination, to include time in the hierarchical structure of the universe, prescribing for it a role of one of the two key forms of psychic and psycho-material processes characteristic of a certain stage of being. (shrink)

Könnten Sie wohl einen Sonderdruck Ihrer Arbeit an Prof. W. Pauli, Zürich, Gloriastr. 35 schicken; der hat mich darum gebeten.

Experiments with remote perception and Random Event Generators (REG) performed over the last decades show small but significant anomalous effects. Since these effects seem to be independent of spatial and temporal distance, they appear to be in disagreement with the standard scientific worldview. A very simple explanation of quantum mechanics is pre- sented, rejecting all unjustified claims about the world. A view of mind in agreement with cognitive neuroscience is introduced. It is argued that mind and consciousness are emer- gent (...) properties of the brain and are understandable without any nonphysical assumptions. A plausible explanation of the results of anomalous experiments, based on the concept of synchronicity, introduced by C.G. Jung and advocated by W. Pauli, is offered. A proof is given that strong correlations should exist between any systems that once interacted. Synchronicity events between parts of the brain and physical objects may be sufficient to explain the results of anomalous experiments. Standard physics is sufficient to understand these phenomena. Motto. (shrink)

In this paper we elaborate on the question how to bridge the gap between contemporary (New) music and the tradition of the past, often called ‘classical’ music. First we analyze the notion of tradition (in classical music) as being distinct from traditional music, nationalism and traditionalism. A central role in this paper is dedicated to the role of counterpoint education following J.J. Fux’s Gradus ad Parnassum in the development of Central-European classical music between the late Renaissance and late Romantic periods. (...) The developments in the 20th century New Music reveal several important trend breaks. The controversies raised during the early Renaissance, regarding the practice of polyphonic singing, are discussed with respect to their impact on music development in later ages. From these controversies and the re-discovery of Nicholas de Cusa’s view on mysticism, the experience of the non-experience in polyphonic music is elucidated. Herewith, an illuminative heuristic is found in the enfolding-unfolding paradigm both in music and pictural arts, from the Renaissance till the present. (shrink)