This thesis is an attempt to reconstruct the conceptual foundations of quantum mechanics. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements of spacetime translation (...) invariance and relativistic invariance. Thirdly, we argue that the random discontinuous motion of particles may lead to a stochastic, nonlinear collapse evolution of the wave function. A discrete model of energy-conserved wavefunction collapse is proposed and shown to be consistent with existing experiments and our macroscopic experience. In addition, we also give a critical analysis of the de Broglie-Bohm theory, the many-worlds interpretation and other dynamical collapse theories, and briefly discuss the issue of unifying quantum mechanics and special relativity. (shrink)

The ArgumentMany find it “notoriously difficult to see how societal context can affect in any essential way how someone solves a mathematical problem or makes a measurement.” That may be because it has been a habit of western scientists to assert their numerical schemes were untainted by any hint of anthropomorphism. Nevertheless, that Platonist penchant has always encountered obstacles in practice, primarily because the stability of any applied numerical scheme requires some alien or external warrant.This paper surveys the history of (...) measurement standards, physical dimensions and dimensionless constants as one instance of the quest to purge all anthropomorphic taint first in the metric system, then in the dimensions provided by the atom, then in physical constants intelligible to extraterrestrials, only then to end up back at overt anthropomorphism in the late 20th century. This suggests that the “naturalness” of natural numbers has always been conceptualized in locally contingent cultural terms. (shrink)

1900 was a remarkable year for science. Several ground-breaking events took place, in physics, biology and psychology. Planck introduced the quantum concept, the work of Mendel was rediscovered, and Sigmund Freud published The Interpretation of Dreams . These events heralded the emergence of completely new areas of inquiry, all of which greatly affected the intellectual landscape of the 20 th century, namely quantum physics, genetics and psychoanalysis. What do these developments have in common? Can we discern a family likeness, a (...) basic affinity between them, so that we can use the one to deepen our understanding of the other? One common denominator is that they open up realms of inquiry that are significantly different from the world of everyday experience, namely the realm of elementary particles, of genes and genomes, and of the unconscious. But to what extent can we meaningfully argue, for instance, that the genome is the biological unconscious, and the unconscious the psychic genome? To address these questions, I will build on the work of two key intellectual figures who have explored the affinities of these developments in depth, namely Erwin Schrödinger (a quantum physicist and avid reader of Schopenhauer who initiated molecular biology) and Jacques Lacan (who reframed the specificity of psychoanalysis with the help of 20 th century science: the era of structural linguistics, but also of quantum physics, molecular biology, bioinformatics and DNA). (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)

In this paper, I will reread the history of molecular genetics from a psychoanalytical angle, analysing it as a case history. Building on the developmental theories of Freud and his followers, I will distinguish four stages, namely: (1) oedipal childhood, notably the epoch of model building (1943–1953); (2) the latency period, with a focus on the development of basic skills (1953–1989); (3) adolescence, exemplified by the Human Genome Project, with its fierce conflicts, great expectations and grandiose claims (1989–2003) and (4) (...) adulthood (2003–present) during which revolutionary research areas such as molecular biology and genomics have achieved a certain level of normalcy—have evolved into a normal science. I will indicate how a psychoanalytical assessment conducted in this manner may help us to interpret and address some of the key normative issues that have been raised with regard to molecular genetics over the years, such as ‘relevance’, ‘responsible innovation’ and ‘promise management’. (shrink)

Abstract. In the last decades, several rapprochements have been made between quantum physics and the Advaita Vedānta (AV) school of Hinduism. Theoretical issues such as the role of the observer in measurement and physical interconnectedness have been associated with tenets of AV, generating various critical responses. In this study, I propose to address this encounter in the light of recent works on philosophical implications of quantum physics by the physicist and philosopher of science Bernard d’Espagnat.

Abstract.The basic laws of physics for particles and fields can be formulated in terms of variational principles. The initial development of a variational principle had distinct teleological implications. The formulation of physical laws in terms of variational principles is outlined with specific reference to classical and quantum mechanics and field theory. Because of time irreversibility no variational principle exists for thermodynamics. In order to obtain time irreversibility molecular trajectories must be abandoned in the lowest‐level description of complex multicomponent systems. A (...) more open set of possibilities results. I suggest that this may be more consistent with a modern teleology. (shrink)

A growing number of commentators have, in recent years, noted the important affinities in the views of Immanuel Kant and Niels Bohr. While these commentators are correct, the picture they present of the connections between Bohr and Kant is painted in broad strokes; it is open to the criticism that these affinities are merely superficial. In this essay, I provide a closer, structural, analysis of both Bohr's and Kant's views that makes these connections more explicit. In particular, I demonstrate the (...) similarities between Bohr's argument, on the one hand, that neither the wave nor the particle description of atomic phenomena pick out an object in the ordinary sense of the word, and Kant's requirement, on the other hand, that both ‘mathematical’ (having to do with magnitude) and ‘dynamical’ (having to do with an object's interaction with other objects) principles must be applicable to appearances in order for us to determine them as objects of experience. I argue that Bohr's ‘complementarity interpretation’ of quantum mechanics, which views atomic objects as idealizations, and which licenses the repeal of the principle of causality for the domain of atomic physics, is perfectly compatible with, and indeed follows naturally from a broadly Kantian epistemological framework. (shrink)

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 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)

This study is a continuation of the authors’ previous work entitled “Helmholtz and the geometry of color space: gestation and development of Helmholtz’s line element” (Peruzzi and Roberti in Arch Hist Exact Sci.https://doi.org/10.1007/s00407-023-00304-2, 2023), which provides an account of the first metrically significant model of color space proposed by the German polymath Hermann von Helmholtz in 1891–1892. Helmholtz’s Riemannian line element for three-dimensional color space laid the foundation for all subsequent studies in the field of color metrics, although it was (...) largely forgotten for almost three decades from the time of its first publication. The rediscovery of Helmholtz’s masterful work was due to one of the founders of quantum mechanics, Erwin Schrödinger. He established his color metric in three extended papers submitted in 1920 to theAnnalen der Physik. Two memoirs were devoted to the so-calledlower color metric,which laid the basis for the development of hishigher color metric, exposed in the last paper. Schrödinger’s approach to the geometry of color space has been taken as a starting point for future elaborations of color metrics and allows a close examination of the current assumptions about the analysis of color-matching data. This paper presents an overall picture of Schrödinger’s works on color. His color theory developed a tradition first inaugurated by Newton and Young, and which acquired strong scientific ground with Grassmann’s, Maxwell’s, and Helmholtz’s contributions in the 1850s. Special focus will be given to Schrödinger’s account of color metric, which responded directly to Helmholtz’s hypothesis of a Riemannian line element for color space. (shrink)

It has been argued that in the context of Bohm’s approach to quantum mechanics, the postulation of a three-dimensional ontology (as opposed to a high-dimensional one) is presumed to be the only interpretation that may reliably support object-oriented realism by virtue of the fact that this ontology is approximately preserved through scientific change, at least in the classical–quantum transition. Based on an interpretative analysis of the Bohmian formulation, I shall critically evaluate the tenability of this argument. In so doing, I (...) shall argue that this formulation admits the postulation of an alternative ontology that is properly defined in a high-dimensional space, and is approximately preserved among this transition. As a result, both the three-dimensional and the high-dimensional worldviews shall form the basis of an equally reliable endorsement of object-oriented realism in the context of the Bohmian framework. I shall conclude that this argument becomes a problem of metaphysical underdetermination between a three and a high-dimensional Bohmian interpretation. (shrink)

The wavefunction is the central mathematical entity of quantum mechanics, but it still lacks a universally accepted interpretation. Much effort is spent on attempts to probe its fundamental nature. Here I investigate the consequences of a matter ontology applied to spherical masses of constant bulk density. The governing equation for the center-of-mass wavefunction is derived and solved numerically. The ground state wavefunctions and resulting matter densities are investigated. A lowering of the density from its bulk value is found for low (...) masses due to increased spatial spreading. A discussion of the possibility to experimentally observe these effects is given and the possible consequences for choosing an ontological interpretation for quantum mechanics are commented upon. (shrink)

This paper presents a historical examination of the influence of the Darwinian metaphor 'the struggle for existence' on a variety of scientific theories which inform our current understanding of the prospects for sustainable development. The first part of the paper traces the use of the metaphor of struggle through two distinct avenues of thought relevant to the search for sustainable development. One of these avenues leads to the biophysical critique of conventional development popularised by 'ecological economists' such as Georgescu-Roegen and (...) Daly. This critique suggests that modern economic systems have gone astray by failing to respect the biological and physical limits to development and that they should be adapted to make them more like ecological systems. The other avenue leads to the modern insights of evolutionary psychology. These latter insights suggest that in certain key respects, the economic system (and actors within it) are already behaving more or less like an ecological system, driven as they are by evolutionary imperatives. Consequently, this second avenue appears to offer far bleaker prospects for achieving sustainable development than the first. However, the final part of the paper re-examines the historical roots of the metaphor itself, and suggests a number of ways in which a critical response to those historical roots might influence our understanding of the prospects for sustainable development. (shrink)

The future has become a problem for the present. Almost every critical issue is now understood and experienced through the prism of the future since this is the primary focus for the playing out of crises. Senses of the Future offers a wide-ranging discussion of theories of the future. It covers the main ideas of the future in modern thought and explores how we should view the future today in light of a plurality of very different and conflicting visions. The (...) key contribution of this book is to bring together the different approaches with an account that is grounded in sociological and philosophical analysis as opposed to visions of the future that are inspired by extreme visions of catastrophe or approaches that see the future as only the continuation of the present. Given a revival of apocalyptical visions of the ‘end times’ and dystopian views of the future of human societies, there is urgent need for a new approach on how we should imagine the future. The author explores the future as a field of tensions that is revealed in narratives, utopian desires, hope, imaginaries, and social struggles concerning the potential possibilities of the present: the future does not just arrive; it has to be fought for. This book is an important contribution to a critical sociology of the future. It is both a work of reconstruction and critique grounded in a historical and philosophical hermeneutics of the future. Table of Contents Chapter One Introduction: Conflicting Visions of the Future Contested Visions of the Future Today Return to the Future Outline of the Chapters References Chapter Two When is the Future? The Problem of Time and the Human Condition Time in the Physical World: Lessons from Physics Has the Future already Begun? Time and History Time, Life, and the Human Condition: Biology, Evolution, and Culture Conclusion References Chapter Three Lessons from the Past: What Does the Past Tell Us about the Future? The Future in the Past Failed Societies and Civilizational Collapse Catastrophes and History Conclusion References Chapter Four Modernity and the Concept of the Future: Utopia, Progress, and Prophecy The Future as Expectation The Future as an Imaginary and the Emergence of Utopianism The Future as Possibility The Future as Experience Conclusion References Chapter Five Ideas of the Future in the Twentieth Century: Futurism, Modernism, Sociology, and Political Theory New Political Ideas of the Future after 1945 Responses to the Future: From Fear of the Future to Futurology Sociological Theory and the Future Conclusion: The New Sociology of the Future References Chapter Six Critical Theory and the Future: The Sources of Transcendence The Intellectual Origins of Critical Theory: A Brief Outline The Idea of the Future in the Critical Theory of the Early Frankfurt School Habermas and the Communication Paradigm The Responsibility Paradigm and Cosmopolitanism: Jonas and Apel Critical Cosmopolitanism and the Idea of the Future Conclusion: Cultural Models and the Future as Possibility References Chapter Seven Conclusion: In The Shadow of the Future Do We Need a Theory of the Future? Are we already in a New Historical Era? AI and a Posthuman Future Struggles for the Future References Index. (shrink)

The mind maps symbols and the extra-symbolic relationships amongst them to specific meanings. When symbols of various levels are placed in a hierarchical ordering, one may look at such ordered classes as distinct worlds where one class represents objects and the other represents the objects’ corresponding meanings. However, such an explanation can only be partial because the number of potential levels in such an ordering is infinite and, therefore, it engenders problems of recursion and infinite regress. There are also logical (...) problems in the form of paradoxes that emanate from the consideration of sets of sets. Given that most prior studies only consider symbols that are classical objects in associative relationships, we argue that there is a need to also consider objects with shifting boundaries and quantum objects. We believe that objects belonging to each of these three classes—that is classical objects, objects with shifting boundaries, and quantum objects—play a role in the workings of the mind. (shrink)

— Niels Bohr, 19231 “There must be quite definite and clear grounds, why you repeatedly declare that one must interpret observations classically, which lie absolute ly in thei r essenc e. . . . It must belong to your deepest conviction—and I cannot understand on what you base it.”.

Recalling the title of Yoxen’s classical paper on the influence of Schrödinger’s book, I analyze the role that the work of H. Pattee might have played, if any, in the development of Biosemiotics. I take his 1969 paper “How does a molecule become a message?” (Developmental Biology Supplement) as a first target due to several circumstances that make it especially salient. On the one hand, even if Pattee has obviously developed further his ideas on later papers, the significance of this (...) one springs out right from the title, the journal and date of publication and, of course, its content. On the other, this paper in particular has been somehow rediscovered recently and not only within the frame of biosemiotics (eg, in history and philosophy of biology by E.F. Keller). Following the parallelism with Yoxen’s perspective, I contend that Pattee’s work was relatively influential with respect to a good amount of attempts to rethink living systems within theoretical biology around the 70s. This influence diminished together with the decay or even collapse of those attempts under the impact of molecular biology as it was being developed those years. Eventually, Pattee’s work has been taken up again. Notwithstanding, it is quite clear that Pattee himself was not intending to contribute specifically to Biosemiotics and that he was probably unaware of any such discipline, at least until recently. Then, we should as well ask (as Yoxen wonders with respect to Schrödinger) to which extent Pattee’s influence has been a direct one or rather an indication of the relevance of his ideas and the resonance of his hypotheses with those of biosemiotics. For this task I will sketch a few points of convergence and divergence and examine the work of some authors who either address directly this issue or have contributed significantly to build up the history of Biosemiotics. (shrink)

The drastically increasing availability ofmodern computers coupled with the equally drasticallylower cost of a given amount of computer power inrecent years has resulted in the evolution of thetraditional experimental/theoretical dichotomy inchemistry into anexperimental/theoretical/computational trichotomy. This trichotomy can be schematically represented by atriangle with experimental,theoretical, and computational chemistry at the threevertices. The ET and EC edges of the ETC triangledepict the uses of theoretical and computationalchemistry, respectively, to predict and interpretexperimental results. The TC edge depicts therelationship between theoretical and computationalchemistry. Mathematics (...) plays an increasing role in allaspects of chemistry, particularly theoreticalchemistry, and has led to the evolution of thediscipline of mathematical chemistry. Research inmathematical chemistry can be considered to lie on achemistry-mathematics continuum depending on therelative depths of the underlying chemistry andmathematics. Examples of the author's own researchlying near each end of the chemistry-mathematicscontinuum include his work on applications of graphtheory and topology in inorganic coordination andcluster chemistry lying near the chemistry end and hiswork on chirality algebra lying near the mathematicsend. The general points in this essay are illustratedby an analysis of the roles of computational andtheoretical chemistry in developing an understandingof structure and bonding in deltahedral boranes andrelated carboranes. This work has allowed extensionof the concept of aromaticity from two dimensions asin benzene and other planar hydrocarbons to the thirddimension in deltahedral boranes. (shrink)

A Controlled Not variant of the standard quantum teleportation protocol affords a step-by-step analysis of what is, or can be said to be, achieved in the process in either location. Dominant interpretations of what quantum teleportation consists in and implies are reviewed in this light. Being mindful of the statistical significance of the terms and operations involved, as well as awareness of classical analogies, can help sort out what is specifically quantum-mechanical, and what is not, in so-called teleportation. What the (...) latter achieves appears to be the transmission, without the involvement of mysterious channels, of what a quantum state encapsulates: the multitiered probabilistic characterization of a given preparation, which might be all we can possibly know about a physical system in a given experimental situation. (shrink)

“Denialism”: The New “Pseudo-Science” Reflections on Frederic Myers’ Romantic Psychology.