The nature of time is perceived by intellectuals variedly. An attempt is made in this paper to reconcile such varied views in the light of the Upanishads and related Indian spiritual and philosophical texts. The complex analysis of modern mathematics is used to represent the nature and presentation physical and psychological times so differentiated. Also the relation between time and energy is probed using uncertainty relations, forms of energy and phases of matter.

Xiong was the originator and founder of Modern Confucianism (xin ruxue ) as well as one of the first Chinese philosophers, who developed his own system of thought, which was based upon classical Confucian concepts and, at the same time, adjusted to the conditions of the New Era. His contribution to the development of modern Chinese philosophy can also be demonstrated in a much broader, general sense. Xiong Shili, namely, also represents one of the first theoretically qualified intellectuals of his (...) age, who didn’t advocate the conservative elitist nationalism, but at the same time opposed the prevailing trends of iconoclastic negation of tradition. Even later on, during the predomination of the so-called communist ideologies, Xiong rather consequently persisted in his—for that time completely unacceptable— standpoints.Thus Xiong Shili, remaining a real Confucian scholar at a time, when Confucianism was everything else but the prevailing state doctrine, doubtless represents a real traditional sage. For him, Confucianism was not solely the predominating system of thought, to which he should formally conform in order to achieve the realization of some privileges and private interests. He was a Confucian scholar by following his own inner conviction, or, with other words, he was a Confucian “inner sage.” Hereby,we encounter an extremely rare kind of Confucian scholars, namely of those, who did not remain limited to a paper-wrapped reproduction of idealistic principles of Confucian thought, but who also tried to perform them in their own life. Xiong’s personal moral was the ethics of a Confucian scholar, who can be a gentle, subtle thinker and a steadfast, consequent rebel at the same time. (shrink)

Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing machine – (...) Is continuality universal? – Diffeomorphism and velocity – Einstein’s general principle of relativity – „Mach’s principle“ – The Skolemian relativity of the discrete and the continuous – The counterexample in § 6 of their paper – About the classical tautology which is untrue being replaced by the statements about commeasurable quantum-mechanical quantities – Logical hidden parameters – The undecidability of the hypothesis about hidden parameters – Wigner’s work and и Weyl’s previous one – Lie groups, representations, and psi-function – From a qualitative to a quantitative expression of relativity − psi-function, or the discrete by the random – Bartlett’s approach − psi-function as the characteristic function of random quantity – Discrete and/ or continual description – Quantity and its “digitalized projection“ – The idea of „velocity−probability“ – The notion of probability and the light speed postulate – Generalized probability and its physical interpretation – A quantum description of macro-world – The period of the as-sociated de Broglie wave and the length of now – Causality equivalently replaced by chance – The philosophy of quantum information and religion – Einstein’s thesis about “the consubstantiality of inertia ant weight“ – Again about the interpretation of complex velocity – The speed of time – Newton’s law of inertia and Lagrange’s formulation of mechanics – Force and effect – The theory of tachyons and general relativity – Riesz’s representation theorem – The notion of covariant world line – Encoding a world line by psi-function – Spacetime and qubit − psi-function by qubits – About the physical interpretation of both the complex axes of a qubit – The interpretation of the self-adjoint operators components – The world line of an arbitrary quantity – The invariance of the physical laws towards quantum object and apparatus – Hilbert space and that of Minkowski – The relationship between the coefficients of -function and the qubits – World line = psi-function + self-adjoint operator – Reality and description – Does a „curved“ Hilbert space exist? – The axiom of choice, or when is possible a flattening of Hilbert space? – But why not to flatten also pseudo-Riemannian space? – The commutator of conjugate quantities – Relative mass – The strokes of self-movement and its philosophical interpretation – The self-perfection of the universe – The generalization of quantity in quantum physics – An analogy of the Feynman formalism – Feynman and many-world interpretation – The psi-function of various objects – Countable and uncountable basis – Generalized continuum and arithmetization – Field and entanglement – Function as coding – The idea of „curved“ Descartes product – The environment of a function – Another view to the notion of velocity-probability – Reality and description – Hilbert space as a model both of object and description – The notion of holistic logic – Physical quantity as the information about it – Cross-temporal correlations – The forecasting of future – Description in separable and inseparable Hilbert space – „Forces“ or „miracles“ – Velocity or time – The notion of non-finite set – Dasein or Dazeit – The trajectory of the whole – Ontological and onto-theological difference – An analogy of the Feynman and many-world interpretation − psi-function as physical quantity – Things in the world and instances in time – The generation of the physi-cal by mathematical – The generalized notion of observer – Subjective or objective probability – Energy as the change of probability per the unite of time – The generalized principle of least action from a new view-point – The exception of two dimensions and Fermat’s last theorem. (shrink)

The surprising aspects of quantum information are due to two distinctly non-classical features of the quantum world: first, different quantum states need not be orthogonal and, second, quantum states may be entangled. Non-orthogonality leads to the blurring of classical distinctions. On the other hand, entanglement leads via non-locality to teleportation and other ``entanglement-assisted'' forms of communication that go beyond what is classically possible. In this article we attempt to understand these new possibilities via an analysis of the significance of entanglement (...) for the basic physical concepts of a ``particle'' and a ``localized physical system''. Classical particles can be individuated on the basis of qualitative differences in their sets of properties. But in entangled states the ``particle labels'' of the quantum formalism usually do not pick out such sets of individuating particle properties. It is sometimes nevertheless possible to think in terms of individual particles, which may be localized; but we argue that in general the structure of quantum mechanics is at odds with such a particle interpretation. This finally leads us to the conclusion that quantum mechanics is best seen as not belonging to the category of space-time theories, in which physical quantities are functions on space-time points. The resulting picture of the quantum world is relevant for our understanding of the way in which quantum theory is non-local, and it sheds light on the novel aspects of quantum information. (shrink)

The present article analyses the qualitative and quantitative parameters of the execution of foreign policy in the Constitution of the Republic of Lithuania. It should be noted that the matters of foreign policy were on the brink of constitutional regulation for a long time. The powers of institutions of the state in the field of foreign relations were established laconically by the Constitutions of first and second “waves” of establishment of constitutionalism. It was argued that the choices of (...) decisions and the execution of foreign policy were determined by political reasons and the law could only fix the results of that policy. That is why these constitutions should be seen as establishing quantitative characteristics of action of the state institutions in the field of foreign policy. As a result of the changes in the concept of the Constitution and the general recognition of the relevance of constitutional regulation from the middle of the twentieth century the constitutional acts began to define not only the powers of certain state institutions in the field of the foreign policy but also the objectives and principles of this policy. These objectives and principles are qualitative parameters of the action of state institutions, which are mandatory constitutional requirements to all subjects engaged in foreign policy. From a qualitative standpoint, the powers of the state institutions can be exercised only by taking the constitutional objectives into account and by respecting the Constitution. The Constitution establishing both qualitative and quantitative characteristics of the execution of foreign policy becomes an actual basis of this policy. It is unlawful to execute foreign policy without complying with its objectives and constitutional principles. The institutions of constitutional review have the powers to determine the constitutionality of legal acts related to the execution of foreign policy. Constitutional regulations previous to the Constitution of the Republic of Lithuania of 1992 only defined the powers of state institutions, i.e. the quantitative parameters of their action. The Lithuanian Constitution of 1992 also established the constitutional objectives and principles of foreign policy. This area of constitutional regulation has been enhanced by the participation of the Republic of Lithuania in the European Union. The author suggests analysing this matter as an autonomous constitutional principle and not only as a case of participation in international organisations or an integral element of the principle of geopolitical orientation. Constitutional objectives and principles of foreign policy, as well as the other provisions of the Constitution regarding the exercise of foreign policy, are interpreted in constitutional jurisprudence. In cases concerning the constitutionality of international treaties, laws and other legislative acts directly related to the exercise of foreign policy, the Constitutional Court reveals the content and meaning of the qualitative and quantitative constitutional parameters of foreign policy. Despite the fragmented nature of the case law one can see the precise contours of the foreign policy system. (shrink)

The dichotomy between the qualitative and the quantitative has been a classic throughout the history of science. As will be seen, this dichotomy permeates all ontological levels of reality. In this work, phenomenological examples potentially related to semiosis are presented at the different levels established by Mario Bunge and Josep Ferrater Mora, contrasting the qualitative categorizations with the quantifiable physical reality. Likewise, the need to continue in the quantification of the biosemiotic and linguistic studies will be presented, (...) while, in contrast, the need to establish a qualitative framework in the little-addressed study of technosemiotics will be raised, of potential interest given the notable advances that are expected in communication systems for inert artifacts in the next years. In short, in the thesis defended here the qualitative precedes the quantitative in the defining path of science. (shrink)

The paper compares ontic structural realism in quantum physics with ontic structural realism about space–time. We contend that both quantum theory and general relativity theory support a common, contentful metaphysics of ontic structural realism. After recalling the main claim of ontic structural realism and its physical support, we point out that both in the domain of quantum theory and in the domain of general relativity theory, there are objects whose essential ways of being are certain relations so that these objects (...) do not possess an intrinsic identity. Nonetheless, the qualitative, physical nature of these relations is in the quantum case (entanglement) fundamentally different from the classical, metrical relations treated in general relativity theory. (shrink)

The paper discuss the application of qualitative and quantitative techniques in political studies. It describes the classical proposal of Johan Galtung, known as trilateral science, which invites to the permanent contrast to confirm, validate and accept facts and ideas; then it explores Grounded Theory as a mechanism to achieve and explore data in order to identify a possible dialogue with experimental methodology. Finally, it shows social capital as a case study to demonstrate the relevance of multi-methodological applications. El (...) propósito de este texto es discutir la aplicación de técnicas cualitativas y cuantitativas en los estudios políticos. Para ello, se describe la propuesta clásica de Johan Galtung, conocida como trilateralismo, que invita al contraste permanente con el fin de confirmar, validar y aceptar hechos e ideas; luego, se busca explorar la Grounded Theory como mecanismo de consecución y exploración de datos con el fin de identificar un posible diálogo con la metodología experimental. Por último, se aborda el capital social como objeto de estudio que demuestra la pertinencia de aplicaciones multimetodológicas. (shrink)

The problem of cultural environment is not new, but the use of the theory on cultural environment is clearly a new approach to the consideration of familiar questions. That is the problem, is it true that the context has become such that man, as an individual, is becoming increasingly smaller, weaker, more tightly defined and restrained, in a society which is steadily developing in the direction of becoming multi-dimensional and ambiguous with its “logic of imposition”? As for the cultural environment, (...) is it true that the part in it where man has no right to choose, the part which he is compelled to adapt to, will grow bigger and bigger than the part each individual, each community can create, build, and amend? More concretely, is it true that the European rationalist and anthropological culture has become too “classical” and “secular,” now getting replaced by a “fast-food culture” or “stewing-pot culture”? Or is it only a “superficial choice” of globalization times? Is the present philosophy too weak, leaving society to the mercy of less-than-clairvoyant logics of life, in which “such environment, such man” is only one of many behavioral logics which are not too bad in modern social relation? Or has the role of philosophy itself changed - the “Flat world” philosophy now deprived of the responsibility to control, regulate, and, as necessary, determine the context, as it was in the past? Base upon reliable qualitative and quantitative datas, thepaper prover that: 1. If natural environment is the regrouping of factors outside the social-human system making conditions necessary for this system to exist and develop, then cultural environment is regrouping of factors inside the social-human system making sufficient conditions for each subsystem of this system to identify itself and progress. 2. Never in the past has the cultural environment in Vietnam been so rich and varied, so dynamic and positive, so encouraging and attractive, with so many opportunities and challenges as is now the case. The degree of richness and diversity, the dynamic and active rhythm of Vietnam’s cultural environment are now enough to foster good ideas and stimulate discovery and creation. But on the flip side, there are still many challenges andattractions, so hopefully every individual, family, and community will become vigilant before the risk of losing the way or making a mistake. (shrink)

The relation between Emanuel Swedenborg and Immanuel Kant has been the subject of many discussions. The chief aim of this paper is not to elucidate this question from an historical point of view, but to compare the teachings of the two thinkers, as those teachings have come to us. Kant's "Träme eines Geistersehers" embodies a very unfavourable opinion about Swedenborg. It is a curious circumstance, that this judgement is not based on decisive arguments. On the contrary, Swedenborg's fundamental doctrines about (...) the existence of a spiritual world and the communication between the living and the dead, are accepted by Kant as plausible. Du Prel and others have concluded, that Kant was a Swedenborgian in his heart, and that his negative attitude was due to the fear of losing his scientific reputation. A careful consideration of the two philosophical systems does not tend to bear out this opinion; nevertheless, such a comparative study is very instructive. In the mental development of the two thinkers there are remarkable analogies. Both were occupied with the great problems of God and the human soul; and both were disappointed by the leading philosophical and theological doctrines of their days. To Swedenborg those doctrines seemed to lead straightforwardly to naturalism and atheism. Kant was struck by the diversity of the opinions expressed and by the succession of heterogeneous doctrines without lasting results. But the reactions of the two men in these circumstances were different. In his cosmological and anatomical works Swedenborg aims at acquiring a comprehensive view of the Universe, in which view God and the soul should obtain their proper places. When he had reached the age of about 55 years, a crisis set in, which he described as "the opening of his spiritual senses". From that time he could see the spiritual world and speak with its inhabitants; he could study the workings of God and of the soul with the help of living experience. Kant raised the question, whether there are departments of knowledge in which certainty is attainable, and what is the ground of this certainty. His answer is, that the fundamental propositions of mathematical physics are absolutely certain. The ground lies in the fact, that these propositions are not derived from experience, but that they are "synthetic judgments a priori". They express the workings of the "categories" and "forms of intuition". by means of which the mind constructs, out of a chaos of sense-impressions, the ordered universe of science. Of objects to which these propositions do not apply, e.g. God and the soul, no certain knowledge is possible. This precludes the knowledge of "another world", fundamentally different from our ordinary world. So there seems to be an irreconcilable opposition between the teachings of Kant and of Swedenborg, But further considerations tend to lessen this contrast. Notwithstanding his own teaching, Kant accepted a life after death and he even speculated on it. If we follow this example, we come to remarkable conclusions. It is reasonable to suppose, that the spirits, who have been men, use the same categories as we do. Then out of the impressions which reach them, they will construct a world built on the same pattern as our earthly world. So life before and after death will not be very different. And this is precisely Swedenborg's teaching. This may be confirmed by the experiences of our dream-life. In dreams, our mind out of different impressions builds a world closely resembling our ordinary world. The spiritual world, as described by Swedenborg, presents many analogies with the world of our dreams. Now it is a very remarkable circumstance, that modern physics has been under the necessity of modifying the system of categories as described by Kant. In quantum mechanics the connection between cause and effect is less stringent than in classical mechanics. This adds fresh interest to the study of a system like that of Swedenborg, where quantitative laws are largely replaced by qualitative laws. (shrink)

A survey is given of the concepts of interaction (force) and matter, i.e., of process and substance. The development of these concepts, first in antiquity, then in early modern times, and finally in the contemporary system of quantum field theory is described. After a summary of the basic phenomenological attributes (coupling strengths, symmetry quantities, charges), the common ground of concepts of quantum field theory for both interactions and matter entities is discussed. Then attention is focused on the gauge principle (...) which has been developed to describe all interaction fields in the same way, and hopefully to unite them all into one unified field. While a similar unification of all fundamental types of matter fields (quarks and leptons) into one family may be possible (SU 5), there still remains at this level a duality between interaction quanta (bosons with spin 1) and matter particles (fermions with spin 1/2). Whether this duality may be removed in some future supersymmetric theory is not discussed in this paper. Nor is Quantum Gravitation discussed, though the analogy of the gauge principle for the three fundamental non-gravitational interactions (hadronic, electromagnetic and weak) to Einstein's principle of equivalence for gravitation in spacetime is noted. However, the equivalence concept is applied not to spacetime but to the internal spaces for the matter (or charge) fields which are the sources between which the fundamental interactions operate. The gauge principle states that a change in the measures of the internal space charge of gauge or phases of the matter fields is equivalent to, and can be compensated by, suitably introduced interaction fields. From such an interaction field, the gauge potential field in the internal space, one may derive a gauge force field by exterior differentiation.Geometrically, the collection of all internal spaces, one over each point of spacetime, constitutes a fiber bundle. The gauge potential field represents a connection on the fiber bundle, and the gauge force field is the curvature (calculated by taking the exterior derivative of the connection and adding to it the exterior product of the connection with itself). Thus, just as gravitational force is interpreted as spacetime curvature, so the three other fundamental forces are interpretable as internal space curvature. The Standard Model which unites the three non-gravitational fields into an SU c 3 ×SU 2×U 1 structure, and the grand unified model, SU 5, are discussed briefly, and difficulties are noted. Finally it is suggested that a composite model, based on more subtle structure, may be needed to remove the present obscurities and difficulties that stand in the way of a unified theory. (shrink)

This paper presents an analysis of the sorites paradox for collective nouns and gradable adjectives within the framework of classical logic. The paradox is explained by distinguishing between qualitative and quantitative representations. This distinction is formally represented by the use of a different mathematical model for each type of representation. Quantitative representations induce Archimedean models, but qualitative representations induce non-Archimedean models. By using a non-standard model of \ called \, which contains infinite and infinitesimal numbers, the (...) two paradoxes are shown to have distinct structures. The sorites paradox for collective nouns arises from the use of infinite numbers, whereas the sorites paradox for gradable adjectives arises from the use of infinitesimal numbers. Each paradox can be traced to a different source of vagueness. The sorites paradox for collective nouns is caused by \, and the sorites paradox for gradable adjectives is caused by \ \. If correct, this analysis implies that infinite and infinitesimal numbers are cognitively real, and that they play a role in the semantic interpretation of natural language. (shrink)

Information can be considered as the most fundamental, philosophical, physical and mathematical concept originating from the totality by means of physical and mathematical transcendentalism (the counterpart of philosophical transcendentalism). Classical and quantum information, particularly by their units, bit and qubit, correspond and unify the finite and infinite. As classical information is relevant to finite series and sets, as quantum information, to infinite ones. A fundamental joint relativity of the finite and infinite, of the external and internal is to be investigated. (...) The corresponding invariance is able to define physical action and its quantity only on the basis of information and especially: on the relativity of classical and quantum information. The concept of transcendental time, an epoché in relation to the direction of time arrow can be defined. Its correlate is that information invariant to the finite and infinite, therefore unifying both classical and quantum information. (shrink)

THIS paper seeks to elucidate the phenomenon known in psychology as 'the specious present,' by postulating a two-dimensional theory of the extensional aspects of time. On this theory, the usual logical and psychological difficulties, encountered in current accounts of this phenomenon, can be resolved. For, when there are two dimensions of time, the same event may be without extension in one of these dimensions ('transition-time'), while it is nevertheless finitely extended in the other of these dimensions ('phase-time'); so that in (...) a definable sense the phases of a finitely enduring event, though successive in one time-order, yet are contemporary in the other. The epistemological standpoint implicit in the paper is generally similar to the one Bertrand Russell has put forward, in his Physics and Experience (Cambridge, 1946), and his Human Knowledge: Its Scope and Limits (London, 1948) (allowing for the changes which would be required in Russell's theory to take into account a second time dimension). A 'psycho-neural parallelism,' or one-one correspondence, is postulated between features of certain 'experiential events' (namely, those experiential events normally held to be happening to some person's mind, which are describable in the language of psychology); and features of certain 'physical events' (namely, those events described in the language of physics, chemistry and physiology, which are ordinarily conceived as happenings in that same person's body). These physical events are conceived of as being causally connected with events in the physical world outside the experient's body, by means of the concepts of light waves, sound waves, chemical stimuli, and consequential processes in the nervous system (central and peripheral) and sense-organs, in the usual way. In terms of this psycho-neural parallelism the physical correlate of the finite temporal span of the specious, or experiential present, is to be found in certain consequences of the uncertainty principle in quantum physics; according to which there is a finite interval of time necessarily associated with a nearly precise determination of energy levels, and of transitions between them. Some of the physical implications of this theory, applied to processes in the material structure of the human body, are discussed qualitatively. But, for the reasons given in the last section of the paper, a quantitative treatment is not yet possible. The paper is greatly indebted in regard to the physical application of the two-dimensional theory of time, to the discussion of the pentadic group structure in Eddington's Fundamental Theory (Cambridge, 1946 and 1950); and in particular to the treatment there of the phase-variable as the 'time-analogue' in the quantum statistics of stationary states. (shrink)

The objective of the consistent-amplitude approach to quantum theory has been to justify the mathematical formalism on the basis of three main assumptions: the first defines the subject matter, the second introduces amplitudes as the tools for quantitative reasoning, and the third is an interpretative rule that provides the link to the prediction of experimental outcomes. In this work we introduce a natural and compelling fourth assumption: if there is no reason to prefer one region of the configuration space (...) over another, then they should be “weighted” equally. This is the last ingredient necessary to introduce a unique inner product in the linear space of wave functions. Thus, a form of the principle of insufficient reason is implicit in the Hilbert inner product. Armed with the inner product we obtain two results. First, we elaborate on an earlier proof of the Born probability rule. The implicit appeal to insufficient reason shows that quantum probabilities are not more objective than classical probabilities. Previously we had argued that the consistent manipulation of amplitudes leads to a linear time evolution; our second result is that time evolution must also be unitary. The argument is straightforward and hinges on the conservation of entropy. The only subtlety consists of defining the correct entropy; it is the array entropy, not von Neumann's. After unitary evolution has been established we proceed to introduce the useful notion of observables and we explore how von Neumann's entropy can be linked to Shannon's information theory. Finally, we discuss how various connections among the postulates of quantum theory are made explicit within this approach. (shrink)

The usual representation of quantum algorithms, limited to the process of solving the problem, is physically incomplete. We complete it in three steps: extending the representation to the process of setting the problem, relativizing the extended representation to the problem solver to whom the problem setting must be concealed, and symmetrizing the relativized representation for time reversal to represent the reversibility of the underlying physical process. The third steps projects the input state of the representation, where the problem solver is (...) completely ignorant of the setting and thus the solution of the problem, on one where she knows half solution. Completing the physical representation shows that the number of computation steps required to solve any oracle problem in an optimal quantum way should be that of a classical algorithm endowed with the advanced knowledge of half solution. (shrink)

A two boundary quantum mechanics without time ordered causal structure is advocated as consistent theory. The apparent causal structure of usual “near future” macroscopic phenomena is attributed to a cosmological asymmetry and to rules governing the transition between microscopic to macroscopic observations. Our interest is a heuristic understanding of the resulting macroscopic physics.

In recent papers the authors have discussed the dynamical properties of “large Poincaré systems” (LPS), that is, nonintegrable systems with a continuous spectrum (both classical and quantum). An interesting example of LPS is given by the Friedrichs model of field theory. As is well known, perturbation methods analytic in the coupling constant diverge because of resonant denominators. We show that this Poincaré “catastrophe” can be eliminated by a natural time ordering of the dynamical states. We obtain then a dynamical theory (...) which incorporates a privileged direction of time (and therefore the second law of thermodynamics). However, it is only in very simple situations that this time ordering can be performed in an “extended” Hilbert space. In general, we need to go to the Liouville space (superspace) and introduce a time ordering of dynamical states according to the number of particles involved in correlations. This leads then to a generalization of quantum mechanics in which the usual Heisenberg's eigenvalue problem is replaced by a complex eigenvalue problem in the Liouville space. (shrink)

The relation between Emanuel Swedenborg and Immanuel Kant has been the subject of many discussions. The chief aim of this paper is not to elucidate this question from an historical point of view, but to compare the teachings of the two thinkers, as those teachings have come to us. Kant's "Träme eines Geistersehers" embodies a very unfavourable opinion about Swedenborg. It is a curious circumstance, that this judgement is not based on decisive arguments. On the contrary, Swedenborg's fundamental doctrines about (...) the existence of a spiritual world and the communication between the living and the dead, are accepted by Kant as plausible. Du Prel and others have concluded, that Kant was a Swedenborgian in his heart, and that his negative attitude was due to the fear of losing his scientific reputation. A careful consideration of the two philosophical systems does not tend to bear out this opinion; nevertheless, such a comparative study is very instructive. In the mental development of the two thinkers there are remarkable analogies. Both were occupied with the great problems of God and the human soul; and both were disappointed by the leading philosophical and theological doctrines of their days. To Swedenborg those doctrines seemed to lead straightforwardly to naturalism and atheism. Kant was struck by the diversity of the opinions expressed and by the succession of heterogeneous doctrines without lasting results. But the reactions of the two men in these circumstances were different. In his cosmological and anatomical works Swedenborg aims at acquiring a comprehensive view of the Universe, in which view God and the soul should obtain their proper places. When he had reached the age of about 55 years, a crisis set in, which he described as "the opening of his spiritual senses". From that time he could see the spiritual world and speak with its inhabitants; he could study the workings of God and of the soul with the help of living experience. Kant raised the question, whether there are departments of knowledge in which certainty is attainable, and what is the ground of this certainty. His answer is, that the fundamental propositions of mathematical physics are absolutely certain. The ground lies in the fact, that these propositions are not derived from experience, but that they are "synthetic judgments a priori". They express the workings of the "categories" and "forms of intuition". by means of which the mind constructs, out of a chaos of sense-impressions, the ordered universe of science. Of objects to which these propositions do not apply, e.g. God and the soul, no certain knowledge is possible. This precludes the knowledge of "another world", fundamentally different from our ordinary world. So there seems to be an irreconcilable opposition between the teachings of Kant and of Swedenborg, But further considerations tend to lessen this contrast. Notwithstanding his own teaching, Kant accepted a life after death and he even speculated on it. If we follow this example, we come to remarkable conclusions. It is reasonable to suppose, that the spirits, who have been men, use the same categories as we do. Then out of the impressions which reach them, they will construct a world built on the same pattern as our earthly world. So life before and after death will not be very different. And this is precisely Swedenborg's teaching. This may be confirmed by the experiences of our dream-life. In dreams, our mind out of different impressions builds a world closely resembling our ordinary world. The spiritual world, as described by Swedenborg, presents many analogies with the world of our dreams. Now it is a very remarkable circumstance, that modern physics has been under the necessity of modifying the system of categories as described by Kant. In quantum mechanics the connection between cause and effect is less stringent than in classical mechanics. This adds fresh interest to the study of a system like that of Swedenborg, where quantitative laws are largely replaced by qualitative laws. (shrink)

This book brings together papers from a conference that took place in the city of L'Aquila, 4–6 April 2019, to commemorate the 10th anniversary of the earthquake that struck on 6 April 2009. Philosophers and scientists from diverse fields of research debated the problem that, on 6 April 1922, divided Einstein and Bergson: the nature of time. For Einstein, scientific time is the only time that matters and the only time we can rely on. Bergson, however, believes that scientific time (...) is derived by abstraction, even in the sense of extraction, from a more fundamental time. The plurality of times envisaged by the theory of Relativity does not, for him, contradict the philosophical intuition of the existence of a single time. But how do things stand today? What can we say about the relationship between the quantitative and qualitative dimensions of time in the light of contemporary science? What do quantum mechanics, biology and neuroscience teach us about the nature of time? The essays collected here take up the question that pitted Einstein against Bergson, science against philosophy, in an attempt to reverse the outcome of their monologue in two voices, with a multilogue in several voices. (shrink)

How can we be certain of what a physics theory is talking about and, at the same time, not have a clue what the theory is about? Yet, this seemingly nonsensical question lurks in the background since the advent of quantum physics and is intimately entangled with the cluster of issues constituting the raw material for philosophers of science striving to negotiate the so-called classical to quantum divide.The discourse of theoretical physics unfolds on two levels: the experimental and the mathematical. (...) It is based on the competent use of everyday language, significantly enriched with sharply defined concepts, in order to deploy necessary resources, to set up and faithfully describe an experimental procedure, and to unambiguously communicate its results. And it expresses in mathematical form properties, states, their interrelations and transformations in the context of an overall conceptual framework.The synthesis of the two levels of discourse, established through the co-evolution of phy .. (shrink)

The basic dynamical quantities of classical mechanics, such as position, linear momentum, angular momentum and energy, obtain their fundamental epistomological content by means of their intimate relationship to the symmetries of the space-time manifold which is the arena of physics. The program of canonical quantization can be understood as a two stage process. The first stage is Bohr's Correspondence Principle, whereby the basic dynamical quantities of the quantum theory are required to retain precisely the same relationship to the symmetries of (...) the space-time manifold as do their classical counterparts, thereby preserving their epistemological, as well as measurement-theoretic, significance. Having so identified the basic dynamical variables, functions of these may now be used to identify the subtler symmetries of the proper canonical group. The second and determining stage of the quantization program requires the establishment of a correspondence between some of these subtler symmetries of the classical theory and related symmetries of the quantum theory, the relationship being determined by a common algebraic form for their defining functions. (shrink)

An interesting connection between special relativity and quantum mechanics was put forward by Louis de Broglie, about 60 years ago, who focused on the link between synchronization in a rotating frame and the quantization of the angular momentum. Here we generalise his approach to curved spacetime, using the gravitoelectromagnetic analogy, which can be applied to describe the weak gravitational field around rotating sources, and give a new interpretation of the results.

Various understandings and definitions of time will be reviewed. The nature and structure of time will be reviewed and the concepts of time and passage of time will be refreshed. The fundamental role played by energy and four natural forces in the actions, reactions and interactions concerning matter, anti-matter, energy in space and time will be critically analyzed. The reality how time is constructed during the construction of materials will be presented and discussed. The classical and quantum ideas in this (...) regard will be comprehensively studied. How these ideas will give us a fresh insight about the nature, structure and role of time in the construction of materials through natural scientific and manmade processes will be highlighted. The relations among matter, anti-matter, energy and time will be freshly stated. The milli-, micro-, nano, pico-, femto-, atto-times will be qualitatively analyzed considering physical, inorganic, organic and bio-materials and their construction and structure. The physics of timelessness also will be put forward. -/- . (shrink)

This thesis introduces a new theoretical tool to explore the notion of time and temporal order in quantum mechanics: the relativistic quantum "clock" framework. It proposes novel thought experiments showing that proper time can display quantum features, e.g. when a "clock" runs different proper times in superposition. The resulting new physical effects can be tested in near-future laboratory experiments (with atoms, molecules and photons as "clocks"). The notion of time holds the key to the regime where quantum theory and (...) general relativity overlap, which has not been directly tested yet and remains largely unexplored by the theory. The framework also applies to scenarios in which causal relations between events become non-classical and which were previously considered impossible to address without refuting quantum theory. The relativistic quantum "clock" framework offers new insights into the foundations of quantum theory and general relativity. (shrink)

State-reduction and the notion of actuality are compared to passage through time and the notion of the present; already in classical relativity the latter give rise to difficulties. The solution proposed here is to treat both tense and value-definiteness as relational properties or facts as relations; likewise the notions of change and probability. In both cases essential characteristics are absent: temporal relations are tenselessly true; probabilistic relations are deterministically true. The basic ideas go back to Everett, although the technical development (...) makes use of the decoherent histories theory of Griffiths, Omnès, and Gell-Mann and Hartle. Alternative interpretations of the decoherent histories framework are also considered. (shrink)

It is argued that seemingly “merely technical” issues about the existence and uniqueness of self-adjoint extensions of symmetric operators in quantum mechanics have interesting implications for foundations problems in classical and quantum physics. For example, pursuing these technical issues reveals a sense in which quantum mechanics can cure some of the forms of indeterminism that crop up in classical mechanics; and at the same time it reveals the possibility of a form of indeterminism in quantum mechanics that is quite distinct (...) from the indeterminism of state vector collapse. More generally, the examples considered indicate that the classical–quantum correspondence is more intricate and delicate than is generally appreciated. The aim of the article is to give a series of examples that reveal why the technical issues about self-adjointness are relevant to the philosophy of science and that help to make the issues accessible to philosophers of science. (shrink)

It is suggested that an understanding of blackbody radiation within classical physics requires the presence of classical electromagnetic zero-point radiation, the restriction to relativistic (Coulomb) scattering systems, and the use of discrete charge. The contrasting scaling properties of nonrelativistic classical mechanics and classical electrodynamics are noted, and it is emphasized that the solutions of classical electrodynamics found in nature involve constants which connect together the scales of length, time, and energy. Indeed, there are analogies between the electrostatic forces for groups (...) of particles of discrete charge and the van der Waals forces in equilibrium thermal radiation. The differing Lorentz- or Galilean-transformation properties of the zero-point radiation spectrum and the Rayleigh-Jeans spectrum are noted in connection with their scaling properties. Also, the thermal effects of acceleration within classical electromagnetism are related to the existence of thermal equilibrium within a gravitational field. The unique scaling and phase-space properties of a discrete charge in the Coulomb potential suggest the possibility of an equilibrium between the zero-point radiation spectrum and matter which is universal (independent of the particle mass), and an equilibrium between a universal thermal radiation spectrum and matter where the matter phase space depends only upon the ratio mc 2/k B T. The observations and qualitative suggestions made here run counter to the ideas of currently accepted quantum physics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Tyrant’s Writ: Myths and Images of Writing in Ancient GreeceThomas ColeDeborah T. Steiner. The Tyrant’s Writ: Myths and Images of Writing in Ancient Greece. Princeton: Princeton University Press, 1994. xiv + 279 pp. Cloth, price not stated.Literacy, as the author correctly points out in her introduction (5), tends to be seen nowadays as “a tool of cultural progress, of rational thought, of scientific analysis, a critical marker (...) that separates the developing from the developed world”; and so the spread of literacy in the Greek world of the Archaic and Classical periods is almost inevitably treated as an event that “heralds in a new rational, skeptical and objective approach,” leading to “advances... in logic, science and technology.” What follows this observation—by way of supplement or corrective to the communis opinio—is an attempt to show that for the Greeks themselves—insofar as their attitude can be documented down to the early fourth century B.C.—writing was something rather different: a multivalent and at times mysterious system of signifiers only partially differentiated from the nonalphabetic symbols and signs that preceded its introduction (chap. 1), a talismanic means of giving greater solemnity and efficacy to the contents of oaths, curses, prayers, and oracles (chap. 2), a frequent source of a “conservative and backward looking” vehicle (metaphor) for carrying on psychological and cosmological speculation (chap. 3), and a medium highly suspect as being the one preferred by tyrants, Greek or oriental, when communicating with their subjects or deputies (chap. 4) and by various types of subversives (conspiring oligarchs, religious fanatics, apolitical shunners of assembly and agora) when communicating among themselves (chap. 5).The attempt, though carried out with energy and imagination, strikes me as ultimately unsuccessful—inconclusive at best and at times dedicated to establishing theses which are refuted by the very evidence that has been assembled to support them. This is especially apparent in chapter 3, which suffers from a failure to allow for the existence of highly traditional modes of argumentation such as metaphor alongside the use of metaphorical vehicles in conjunction with highly “progressive” or revolutionary tenors. The habit of comparing perception, remembering, and forgetting to the inscribing, preservation, and erasure of texts on the wax tablets of the mind (100–5) is surely inseparable from the development both of an empiricist psychology and epistemology and of a materialistic view of the soul; and the atomist analogy between letters and the basic constituents of the cosmos (116–22) stands in equally close relationship to the concern of the scientist—be he ancient or modern—to draw distinctions between primary and secondary sensory qualities and to produce an accounting for the apparently qualitative differences between phenomena in ultimately quantitative terms.While not actually refuting the author’s theses, chapter 2 reveals the existence [End Page 145] of a fairly strong argumentum ex silentio against them. Its discussion is based almost entirely on inferences as to the attitudes whose existence might be posited to explain the frequency with which writing is used in certain contexts, and this frequency is, to my mind, more efficiently and plausibly accounted for as the result of nothing more mysterious than a general recognition of the superiority of written to verbal texts in situations where permanence, transportability, visibility, or reliability and authenticity are called for. We are still far from the skepticism, rationalism, and objectivity posited by the modern communis opinio, but much nearer to that than the obscurantism and authoritarianism of the alternative vision offered here. One would certainly not be surprised if, “as documents came to supplement and then to replace symbolic objects,” the former came to acquire some of the sacral character of the latter, and Steiner cites evidence (63 n. 8) to suggest that this actually occurred in medieval England. Parallels can also be cited from medieval Tibet, where monks sought to secure to themselves the spiritual benefits of Buddhist scriptures by wadding pages from the texts in question into small pellets and swallowing them; or even twentieth-century America, where college students seem to derive comparable reassurance from the photocopies of unread articles that line their bookshelves. But nothing in the evidence Steiner cites... (shrink)

We present a new way of constructing classical analogies of quantum interference. These analogies share one common factor: they treat closed loops as fundamental entities. Such analogies can be used to understand the difference between quantum and classical probability; they can also be used to illuminate the many worlds interpretation of quantum mechanics. An examination of these analogies suggests that closed loops (particularly closed loops in time) may have special significance in interpretations of quantum interference, because they allow probabilities to (...) remain classically additive. (shrink)

Bewildering features of modern physics, such as relativistic space-time structure and the peculiarities of so-called quantum statistics, challenge traditional ways of conceiving of objects in space and time. Interpreting Bodies brings together essays by leading philosophers and scientists to provide a unique overview of the implications of such physical theories for questions about the nature of objects. The collection combines classic articles by Max Born, Werner Heisenberg, Hans Reichenbach, and Erwin Schrodinger with recent contributions, including several papers that have never (...) before been published. -/- The book focuses on the microphysical objects that are at the heart of quantum physics and addresses issues central to both the "foundational" and the philosophical debates about objects. Contributors explore three subjects in particular: how to identify a physical object as an individual, the notion of invariance with respect to determining what objects are or could be, and how to relate objective and measurable properties to a physical entity. The papers cover traditional philosophical topics, common-sense questions, and technical matters in a consistently clear and rigorous fashion, illuminating some of the most perplexing problems in modern physics and the philosophy of science. (shrink)

This paper discusses the problem of finding and defining chaos in quantum mechanics. While chaotic time evolution appears to be ubiquitous in classical mechanics, it is apparently absent in quantum mechanics in part because for a bound, isolated quantum system, the evolution of its state is multiply periodic. This has led a number of investigators to search for semiclassical signatures of chaos. Here I am concerned with the status of semiclassical mechanics as a distinct third theory of the asymptotic domain (...) between classical and quantum mechanics. I discuss in some detail the meaning of such crucial locutions as the " classical counterpart to a quantum system " and a quantum system ' s " underlying classical motion ". A proper elucidation of these concepts requires a semiclassical association between phase space surfaces and wave - functions. This significance of this association is discussed in some detail. (shrink)

The paper discusses this year’s Nobel Prize in physics for experiments of entanglement “establishing the violation of Bell inequalities and pioneering quantum information science” in a much wider, including philosophical context legitimizing by the authority of the Nobel Prize a new scientific area out of “classical” quantum mechanics relevant to Pauli’s “particle” paradigm of energy conservation and thus to the Standard model obeying it. One justifies the eventual future theory of quantum gravitation as belonging to the newly established quantum information (...) science. Entanglement, involving non-Hermitian operators for its rigorous description, non-unitarity as well as nonlocal and superluminal physical signals “spookily” (by Einstein’s flowery epithet) synchronizing and transferring some nonzero action at a distance, can be considered to be quantum gravity so that its local counterpart to be Einstein’s gravitation according to general relativity therefore pioneering an alternative pathway to quantum gravitation different from the “secondary quantization” of the Standard model. So, the experiments of entanglement once they have been awarded by the Nobel Prize launch particularly the relevant theory of quantum gravitation grounded on “quantum information science” thus granted to be nonclassical quantum mechanics in the shared framework of the generalized quantum mechanics obeying rather quantum-information conservation than only energy conservation. The concept of “dark phase” of the universe naturally linked to the very well confirmed “dark matter” and “dark energy” and opposed to its “light phase” inherent to classical quantum mechanics and the Standard model obeys quantum-information conservation, after which reversible causality or the mutual transformation of energy and information are valid. The mythical Big Bang after which energy conservation holds universally is to be replaced by an omnipresent and omnitemporal medium of decoherence of the dark and nonlocal phase into the light and local phase. The former is only an integral image of the latter and borrowed in fact rather from religion than from science. Physical, methodological and proper philosophical conclusions follow from that paradigm shift heralded by this year’s Nobel Prize in physics. For example, the scientific theory of thinking should originate from the dark phase of the universe, as well: probably only approximately modeled by neural networks physically belonging to the light phase thoroughly. A few crucial philosophical sequences follow from the break of Pauli’s paradigm: (1) the establishment of the “dark” phase of the universe as opposed to its “light” phase, only to which the Cartesian dichotomy of “body” and “mind” is valid; (2) quantum information conservation as relevant to the dark phase, furthermore generalizing energy conservation as to its light phase, productively allowing for physical entities to appear “ex nihilo”, i.e., from the dark phase, in which energy and time are yet inseparable from each other; (3) reversible causality as inherent to the dark phase; (4) the interpretation of gravitation only mathematically: as an interpretation of the incompleteness of finiteness to infinity, for example, following the Gödel dichotomy (“either contradiction or incompleteness”) about the relation of arithmetic to set theory; (5) the restriction of the concept of hierarchy only to the light phase; (6) the commensurability of both physical extremes of a quantum and the universe as a whole in the dark phase obeying quantum information conservation and akin to Nicholas of Cusa’s philosophical and theological worldview. (shrink)

Our understanding of nature, and in particular of physics and the laws governing it, has changed radically since the days of the ancient Greek natural philosophers. This book explains how and why these changes occurred, through landmark experiments as well as theories that - for their time - were revolutionary. The presentation covers Mechanics, Optics, Electromagnetism, Thermodynamics, Relativity Theory, Atomic Physics and Quantum Physics. The book places emphasis on ideas and on a qualitative presentation, rather than on mathematics and (...) equations. Thus, although primarily addressed to those who are studying or have studied science, it can also be read by non-specialists. The author concludes with a discussion of the evolution and organization of universities, from ancient times until today, and of the organization and dissemination of knowledge through scientific publications and conferences. (shrink)

The Conditional Probability Interpretation of Quantum Mechanics replaces the abstract notion of time used in standard Quantum Mechanics by the time that can be read off from a physical clock. The use of physical clocks leads to apparent non-unitary and decoherence. Here we show that a close approximation to standard Quantum Mechanics can be recovered from conditional Quantum Mechanics for semi-classical clocks, and we use these clocks to compute the minimum decoherence predicted by the Conditional Probability Interpretation.

This paper is a comment on both Bunamano and Rovelli (Bridging the neuroscience and physics of time arXiv:2110.01976. (2022)) and Gruber et al. (in Front. Psychol. Hypothesis Theory, 2022) and which discuss the relation between physical time and human time. I claim here, contrary to many views discussed there, that there is no foundational conflict between the way physics views the passage of time and the way the mind/brain perceives it. The problem rather resides in a number of misconceptions leading (...) either to the representation of spacetime as a timeless Block Universe, or at least that physically relevant universe models cannot have preferred spatial sections. The physical expanding universe can be claimed to be an Evolving Block Universe with a time-dependent future boundary, representing the dynamic nature of the way spacetime develops as matter curves spacetime and spacetime tells matter how to move. This context establishes a global direction of time that determines the various local arrows of time. Furthermore time passes when quantum wave function collapse takes place to an eigenstate; during this process, information is lost. The mind/brain acts as an imperfect clock, which coarse-grains the physical passage of time along a world line to determine the experienced passage of time, because neural processes take time to occur. This happens in a contextual way, so experienced time is not linearly related to physical time in general. Finally I point out that the Universe is never infinitely old: its future endpoint always lies infinitely faraway in the future. (shrink)

Time, along with concepts as space and matter, is bound to be a central concept of any physical theory. The chapter first discusses how time is treated similarly in quantum and classical theories. It then provides a few references on time‐reversal. The chapter discusses three chosen authors' (Paul Busch, Jan Hilgevoord and Jos Uffink) clarifications of uncertainty principles in general. Next, the chapter follows Busch in distinguishing three roles for time in quantum physics. They are external time, intrinsic time and (...) observable time. It also provides a brief discussion on time operators, in particular Pauli's influential proof. Finally, the chapter talks about time‐energy uncertainty principles with intrinsic times. (shrink)

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties of the bath. It is also applicable when an open microscopic sub-system is coupled to another finite system. By use of a time-periodic minimal coupling model between these two (...) systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett–Garg type inequality. An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method. (shrink)

Two radically different views about time are possible. According to the first, the universe is three dimensional. It has a past and a future, but that does not mean it is spread out in time as it is spread out in the three dimensions of space. This view requires that there is an unambiguous, absolute, cosmic-wide "now" at each instant. According to the second view about time, the universe is four dimensional. It is spread out in both space and time (...) - in space-time in short. Special and general relativity rule out the first view. There is, according to relativity theory, no such thing as an unambiguous, absolute cosmic-wide "now" at each instant. However, we have every reason to hold that both special and general relativity are false. Not only does the historical record tell us that physics advances from one false theory to another. Furthermore, elsewhere I have shown that we must interpret physics as having established physicalism - in so far as physics can ever establish anything theoretical. Physicalism, here, is to be interpreted as the thesis that the universe is such that some unified "theory of everything" is true. Granted physicalism, it follows immediately that any physical theory that is about a restricted range of phenomena only, cannot be true, whatever its empirical success may be. It follows that both special and general relativity are false. This does not mean of course that the implication of these two theories that there is no unambiguous cosmic-wide "now" at each instant is false. It still may be the case that the first view of time, indicated at the outset, is false. Are there grounds for holding that an unambiguous cosmic-wide "now" does exist, despite special and general relativity, both of which imply that it does not exist? There are such grounds. Elsewhere I have argued that, in order to solve the quantum wave/particle problem and make sense of the quantum domain we need to interpret quantum theory as a fundamentally probabilistic theory, a theory which specifies how quantum entities - electrons, photons, atoms - interact with one another probabilistically. It is conceivable that this is correct, and the ultimate laws of the universe are probabilistic in character. If so, probabilistic transitions could define unambiguous, absolute cosmic-wide "nows" at each instant. It is entirely unsurprising that special and general relativity have nothing to say about the matter. Both theories are pre-quantum mechanical, classical theories, and general relativity in particular is deterministic. The universe may indeed be three dimensional, with a past and a future, but not spread out in four dimensional space-time, despite the fact that relativity theories appear to rule this out. These considerations, finally, have implications for views about the arrow of time and free will. (shrink)

Van Gelder's clear distinction between the quantitative nature of dynamical systems and the nonquantitative nature of computational processes provides a firm basis for distinguishing between processes that happen in time and processes that happen over time. Symbolic reasoning, the presumed basis of intelligent behavior in robots, happens over time. However, the movements and actions that robots must make to behave intelligently, happen in time. Attempting to connect the two, as classical artificial intelligence and robotics have presumed to be necessary, (...) has produced a tension and an arbitrarily moving interface in the construction of robots. Adopting a robotic version of the dynamical hypothesis offers sound theoretical and scientific justification for those robotics researchers who continue to insist that getting the interaction dynamics of intelligent behavior right is a purely dynamical matter, and never a symbolic computational one. (shrink)

The book deals with expounding the nature of Reality as it is understood in contemporary times in Quantum Physics. It also explains the classical Indian theory of Śūnya in its diverse facets. Thereafter it undertakes comparison between the two which is an area of great topical interest. It is a cross-disciplinary study by erudite Indian and western scholars between traditional Indian knowledge system and contemporary researches in Physical sciences. It points out how the theory of ‘Śūnyatā has many seminal (...) ideas and theories in common with contemporary Quantum Physics. The learned authors have tried to dissolve the “mysteries” of Quantum Physics and resolved its “weird paradoxes” with the help of theory of Śūnyatā. The issue of non-separability or entanglement has been approached with the help of the Buddhist theory of Pratītyasamutpāda. The paradoxical situation of “wave-particle duality” has been explained with the help of Upaniṣadic theory of complementarity of the two opposites. The measurement problem represented by “Schrodinger’s cat” has been dealt with by resorting to two forms of the calculation of probabilities. Some writers have argued for Śūnyatā-like non-essentialist position to understand quantum reality. To make sense of quantum theory some papers provide a happy symbiosis of technical understanding and personal meditative experience by drawing multifarious parallels. This book will be of interest to philosophically inclined physicists and philosophers with interest in quantum mechanics. (shrink)

Koopman-von Neumann in the 30’s gave an operatorial formulation of Classical Mechanics. It was shown later on that this formulation could also be written in a path-integral form. We will label this functional approach as CPI (for classical path-integral) to distinguish it from the quantum mechanical one, which we will indicate with QPI. In the CPI two Grassmannian partners of time make their natural appearance and in this manner time becomes something like a three dimensional supermanifold. Next we introduce a (...) metric in this supermanifold and show that a particular choice of the supermetric reproduces the CPI while a different one gives the QPI. (shrink)

The goal of this paper is to introduce the notion of a four-dimensional time in classical mechanics and in quantum mechanics as a natural concept related with the angular momentum. The four-dimensional time is a consequence of the geometrical relation in the particle in a given plane defined by the angular momentum. A quaternion is the mathematical entity that gives the correct direction to the four-dimensional time.Taking into account the four-dimensional time as a vectorial quaternionic idea, we develop a set (...) of generalizations and conclusions over the mechanics.In quantum mechanics, the four-dimensional time appears as an observable. (shrink)

Quantum mechanics has provided philosophers of science with many counterintuitive insights and interpretive puzzles, but little has been written about the role that time plays in the theory. One reason for this is the celebrated argument of Wolfgang Pauli against the inclusion of time as an observable of the theory, which has been seen as a demonstration that time may only enter the theory as a classical parameter. Against this orthodoxy I argue that there are good reasons to expect certain (...) kinds of 'time observables' to find a representation within quantum theory, including clock operators and event time operators, which provide predictions for the time at which a particular event occurs, such as the appearance of a dot on a luminescent screen. I contend that these time operators deserve full status as observables of the theory, and on reflection provide a uniquely compelling reason to expand the set of observables allowed by the standard formalism of quantum mechanics. In addition, I provide a novel association of event time operators with conditional probabilities, and propose a temporally extended form of quantum theory to better accommodate the time of an event as an observable quantity. This leads to a proposal to interpret quantum theory within an event ontology, inspired by Bertrand Russell's Analysis of Matter. On this basis I mount a defense of Russell's relational theory of time against a recent attack. (shrink)

The central thesis of this paper is that contemporary theoretical physics is grounded in philosophical presuppositions that make it difficult to effectively address the problems of subject-object interaction and discontinuity inherent to quantum gravity. The core objectivist assumption implicit in relativity theory and quantum mechanics is uncovered and we see that, in string theory, this assumption leads into contradiction. To address this challenge, a new philosophical foundation is proposed based on the phenomenology of Maurice Merleau-Ponty and Martin Heidegger. Then, through (...) the application of qualitative topology and hypernumbers, phenomenological ideas about space, time, and dimension are brought into focus so as to provide specific solutions to the problems of force-field generation and unification. The phenomenological string theory that results speaks to the inconclusiveness of conventional string theory and resolves its core contradiction. (shrink)

A one-to-one correspondence is established between linearized space-time metrics of general relativity and the wave equations of quantum mechanics. Also, the key role of boundary conditions in distinguishing quantum mechanics from classical mechanics, will emerge naturally from the procedure. Finally, we will find that the methodology will enable us to introduce not only test charges but also test masses by means of gauges.

Non-relativistic quantum mechanics is grounded on ‘classical’ space and time. The mathematical description of these con- cepts entails that any two spatially separated objects are necessarily dif- ferent, which implies that they are discernible — we say that the space is T2, or "Hausdorff". But quantum systems, in the most interesting cases, some- times need to be taken as indiscernible, so that there is no way to tell which system is which, and this holds even in the case of (...) fermions. But in the NST setting, it seems that we can always give an identity to them, which seems to be contra the physical situation. In this paper we discuss this topic for a case study and con- clude that, taking into account the quantum case, that is, when physics enter the discussion, even NST cannot be used to say that the systems do have identity. (shrink)

The paper interprets the concept “operator in the separable complex Hilbert space” (particalry, “Hermitian operator” as “quantity” is defined in the “classical” quantum mechanics) by that of “quantum information”. As far as wave function is the characteristic function of the probability (density) distribution for all possible values of a certain quantity to be measured, the definition of quantity in quantum mechanics means any unitary change of the probability (density) distribution. It can be represented as a particular case of “unitary” qubits. (...) The converse interpretation of any qubits as referring to a certain physical quantity implies its generalization to non-Hermitian operators, thus neither unitary, nor conserving energy. Their physical sense, speaking loosely, consists in exchanging temporal moments therefore being implemented out of the space-time “screen”. “Dark matter” and “dark energy” can be explained by the same generalization of “quantity” to non-Hermitian operators only secondarily projected on the pseudo-Riemannian space-time “screen” of general relativity according to Einstein's “Mach’s principle” and his field equation. (shrink)

A quantum particle moving in a gravitational field may penetrate the classically forbidden region of the gravitational potential. This raises the question of whether the time of flight of a quantum particle in a gravitational field might deviate systematically from that of a classical particle due to tunnelling delay, representing a violation of the weak equivalence principle. I investigate this using a model quantum clock to measure the time of flight of a quantum particle in a uniform gravitational field, and (...) show that a violation of the equivalence principle does not occur when the measurement is made far from the turning point of the classical trajectory. The results are then confirmed using the so-called dwell time definition of quantum tunnelling. I conclude with some remarks about the strong equivalence principle in quantum mechanics. (shrink)