Interpretation Of Quantum Mechanics Research Articles

The Role of the Exalted Mind in the Observer Observed Quantum Reality

The great advances in science precipitated by the advent of quantum mechanics in the 20th century have profound implications for the nature of reality. The universe is now assumed to be fundamentally quantum at all scales of existence. As such, ancient questions about what the roles of human beings in the universe are, what is the relationship between the observer and the observed, the role of the mind, existence itself and the nature of experiences, can now also be approached in new scientific ways. This provides the opportunity to explore mathematical formalisms that relate to relationships between the observer and the observed, through three principles or universal laws which apply at all levels of existence. These principles form the essence of a vast ocean of qualia of experience. Such approaches that we advocate here provide a formalism that goes beyond specific interpretations of quantum mechanics and have strong philosophical foundations in both Western philosophy as well as the monistic contemplative systems of the East. We present a plausible thesis that what is the unifying principle of all existence is universal Consciousness, which when turned within is pure Awareness of Being. The mind and the countless experiences of qualia in this inner vision encompass ancient eternal views of contemplation where the observer, the observer and the process of unifying them form an undivided wholeness. The exalted ancient yet modern view would resonate with both the non-dual ancient teachings as well as different interpretations of quantum mechanics wherein the observed system and the observing subject are inexorably tied together in an undivided Wholeness of Being. The role of the mind is critical and we use the term Exalted Mind to distinguish higher functions from ordinary mind. The implications for humanity are indeed profound, in our view form the foundation of the emerging scientific and medical paradigms, the dawn of a new era of conscious non-dual, science-based Awareness.

Conceptual Problems in Bell’s Inequality and Quantum Entanglement

The description of the microscopic world in quantum mechanics is very different from that in classical physics, and there are some points of view that are contrary to intuition and logic. The first is the problem of reality; quantum mechanics believes the behavior of micro particles is random and jumping. The second is the loss of certainty; the conjugate physical variables of a system cannot be determined synchronously, they satisfy the Heisenberg uncertainty principle. The third is the non-local correlation. The measurement of one particle in the quantum entanglement pair will influence the state of the other entangled particle simultaneously. In this paper, some concepts related to quantum entanglement, such as EPR correlation, quantum entanglement correlation function, Bell’s inequality and so on, are analyzed in detail. Analysis shows that the mystery and confusion in quantum theory may be caused by the logical problems in its basic framework. Bell’s inequality is only a mathematical theorem, but its physical meaning is actually unclear. The Bell state of quantum entangled pair may not satisfy the dynamic equation of quantum theory, so it cannot describe the true state of microscopic particles. In this paper, the correct correlation functions of spin entanglement pair and photonic entanglement pair are strictly derived according to normal logic. Quantum theory is a more fundamental theory than classical mechanics, and they are not equal relation in logic. However, there are still some unreasonable contents in the framework of quantum theory, which need to be improved. In order to disclose the real relationship between quantum theory and classical mechanics, we propose some experiments which provide intuitionistic teaching materials for the new interpretation of quantum theory.

Realistic Simulations of EPR Experiments: Nonlinear Concept for New Principle of Non-Locality and for Realistic Interpretation of Quantum Mechanics

Realistic Simulations of EPR Experiments: Nonlinear Concept for New Principle of Non-Locality and for Realistic Interpretation of Quantum Mechanics

Hydrodynamic Interpretation of Generic Squeezed Coherent States: A Kinetic Theory

The hydrodynamic interpretation of quantum mechanics treats a system of particles in an effective manner. In this work, we investigate squeezed coherent states within the hydrodynamic interpretation. The Hamiltonian operator in question is time dependent, n-dimensional and in quadratic order. We start with deriving a phase space Wigner probability distribution and an associated equilibrium entropy for the squeezed coherent states. Then, we decompose the joint phase space distribution into two portions: a marginal position distribution and a momentum distribution that is conditioned on the post-selection of positions. Our conditionally averaged momenta is shown to be equal to the Bohm's momenta whose connection to the weak measurements is already known. We also keep track of the corresponding classical system evolution by identifying shear, magnification and rotation components of the symplectic phase space dynamics. This allows us to pinpoint which portion of the underlying classical motion appears in which quantum statistical concept. We show that our probability distributions satisfy the Fokker-Planck equations exactly. They can be used to decompose the equilibrium entropy into the missing information in positions and in momenta as in the Sackur-Tetrode entropy of the classical kinetic theory. Eventually, we define a quantum pressure, a quantum temperature and a quantum internal energy which are related to each other in the same fashion as in the classical kinetic theory. We show that the quantum potential incorporates the kinetic part of the internal energy and the fluctuations around it. This allows us to suggest a quantum conditional virial relation. In the end, we show that the kinetic internal energy is linked to the fractional Fourier transformer part of the underlying classical dynamics similar to the case where the energy of a quantum oscillator is linked to its Maslov index.

Simondon and Bohm between determinism and indeterminism

The radical redefinition of the landscape of physics that followed the contributions of Niels Bohr and Werner Heisenberg at the start of the 20th century led to plethora [of] new perspectives on age-old metaphysical questions on determinism and the nature of reality. The main contention of this article is that the work of Gilbert Simondon - whose magnum opus possesses a scope uniting the most basic philosophical concerns with the (then) most recent breakthroughs in natural sciences - is highly relevant for an adequate understanding of the split between determinism and indeterminism, as well as the underlying presuppositions which have driven some influential contributions to this topic. To this end, the article shows that the more deterministic interpretation of quantum mechanics offered by David Bohm and Louis de Broglie proves to be a valuable reference point for a more precise use and understanding of Simondon?s transductive logic - especially when its philosophical lapses are considered closely. Finally, following the considerations of both thinkers, we aim at a more precise reconsideration of the stakes of indeterminism in modern physics, as well as a restructuration of what is often understood as a polarization.

A Simple Proof of Locality in Quantum Mechanics

While quantum mechanics allows spooky action at a distance at the level of the wave-function, it also respects locality since there is no instantaneous propagation of real physical effects. We show that this feature can be proved in the standard interpretation of quantum mechanics by a simple general result involving commuting Hermitian operators corresponding to distant (causally disconnected) observables. This is reminiscent of satisfying the locality condition in relativistic quantum field theories.

A New Form of Quantum Mechanical Wave Equation Unifying Quantum Mechanics and Electro-Magnetics

The Schr?dinger differential equation is what we usually solve for the microscopic particles in non-relativistic quantum mechanics. Niels Bohr suggested the power two of the (usually) complex answer shows the probability of the particle’s existence at a point of space. Also, the time dependence of Schrodinger wave equation is one whereas for light in electromagnetism is two. In this paper, we show a solution for both problems. We derive a Wave Equation for the energy of every system. This electromagnetic wave equation is shown to convert to those classical (i.e. the Schrodinger) and special relativistic (i.e. Klein-Gordon) quantum mechanical equations. Also, accordingly there definitely is a physical meaning to answer to this wave equation. And therefore, switching the probabilistic interpretation of quantum mechanics to a deterministic one as (Albert) Einstein demanded.

The Problem of Universals from the Scientific Point of View: Thomas Aquinas Should Be More Appreciated

Recently we proposed the linguistic Copenhagen interpretation of quantum mechanics, which is called quantum language or measurement theory. This theory is valid for both quantum and classical systems. Thus, we think that quantum language is one of the most powerful scientific theories, like statistics, and thus, it is the scientific completion (i.e., the destination) of dualistic idealism. If so, we can introduce the concept “progress” in the dualistic idealism. For example, we can assert that [Plato → Descartes → Kant → Wittgenstein → quantum language], where [“X” → “Y”] means that “Y” is more like quantum language than “X”. In this paper, we will study the problem of universals from the perspective of quantum language (i.e., from the scientific perspective of ignoring any religious perspective). And we can be confident of the progress of both of the two time series [Plato → Anselmus → Thomas Aquinas → quantum language] and [Descartes → Thomas Aquinas → quantum language] in dualistic idealism. The reader may find it surprising that Scholastic philosophy is more scientific than Cartesian-Kantian philosophy. However, this is because Descartes gave up the pursuit of “universals” and presented dualism as a visible “mind-matter dualism” so that it could be familiar to the general public. This made the Cartesian-Kantian philosophy socially successful, but unscientific. The problem of universals has not always been clear in the long history of philosophy. The reader should be convinced that the reason is that the problem of universals has been discussed in an incomplete non-scientific dualism to this day.

Entanglement and indistinguishability in a quantum ontology of properties

The aim of the present article is to address the problem of entanglement in the case of indistinguishable particles from a perspective based on the algebraic formalism of quantum mechanics, which is the natural formal counterpart of an ontology of properties, devoid of the ontological category of object. On the basis of this perspective, an algebraic definition of entanglement is adopted, which supplies a unified conception, valid for both the distinguishable and the indistinguishable cases. An additional advantage of this algebraic definition is that it does justice to the relativity of entanglement, a feature that cannot be ignored.

Are Words the Quanta of Human Language? Extending the Domain of Quantum Cognition.

In previous research, we showed that ‘texts that tell a story’ exhibit a statistical structure that is not Maxwell–Boltzmann but Bose–Einstein. Our explanation is that this is due to the presence of ‘indistinguishability’ in human language as a result of the same words in different parts of the story being indistinguishable from one another, in much the same way that ’indistinguishability’ occurs in quantum mechanics, also there leading to the presence of Bose–Einstein rather than Maxwell–Boltzmann as a statistical structure. In the current article, we set out to provide an explanation for this Bose–Einstein statistics in human language. We show that it is the presence of ‘meaning’ in ‘texts that tell a story’ that gives rise to the lack of independence characteristic of Bose–Einstein, and provides conclusive evidence that ‘words can be considered the quanta of human language’, structurally similar to how ‘photons are the quanta of electromagnetic radiation’. Using several studies on entanglement from our Brussels research group, we also show, by introducing the von Neumann entropy for human language, that it is also the presence of ‘meaning’ in texts that makes the entropy of a total text smaller relative to the entropy of the words composing it. We explain how the new insights in this article fit in with the research domain called ‘quantum cognition’, where quantum probability models and quantum vector spaces are used in human cognition, and are also relevant to the use of quantum structures in information retrieval and natural language processing, and how they introduce ‘quantization’ and ‘Bose–Einstein statistics’ as relevant quantum effects there. Inspired by the conceptuality interpretation of quantum mechanics, and relying on the new insights, we put forward hypotheses about the nature of physical reality. In doing so, we note how this new type of decrease in entropy, and its explanation, may be important for the development of quantum thermodynamics. We likewise note how it can also give rise to an original explanatory picture of the nature of physical reality on the surface of planet Earth, in which human culture emerges as a reinforcing continuation of life.

DURR HANS-PETER FRAGMENT FROM THE BOOK “MATTER DOES NOT EXIST!”

This translation contains the preface and the first two chapters from the last book of W. Heisenberg’s disciple Hans-Peter Duerr “Matter does not exist!” The book is devoted to the problem of interpretation of quantum mechanics. The author, G.-P. Duerr, raises the question of the need for a new view of the fundamental issues of physics and philosophy in general, while he turns to the experience of the Indian philosophical tradition, primarily relies on the Advaita Vedanta school. The author focuses on the concepts of “transcendence”, “immanence”, “cognition”, etc. The problematic of this work lies in the field of not only physics, metaphysics and religion, but also psychology, intercultural interaction.

BIBLICAL THESIS ABOUT CREATION “EX NIHILO” AND THE RELATIONAL PARADIGM OF PHYSICS

The biblical story begins with the story of the creation of the world out of nothing. In the context of theological tradition, creation means non-self-being; this is the reason for the constant variability of the universe. Biblical Revelation presupposes the assumption of a special kind of ontology of creation: nothing is self-existent, all being is relative and everything is relative to God. The entire history of natural science, starting with Galileo, shows that its development proceeded along the path of concretizing and expanding the field of applicability of the principle of the relativity of being: from Galilean relativity - to Einstein’s special theory of relativity - and, finally, to quantum mechanics - to the fact that one of the greatest physicists of the XX century academician Vladimir Fock called the principle of relativity to the means of observation. Considering quantum mechanics as the last natural link in this chain of realization of the principle of relativity in physics, we can, from the many alternative interpretations of quantum mechanics existing today, single out those that are organically consistent with the fundamental biblical principle of the relativity of being and consistently explain what is perceived as quantum paradoxes. This will allow you to take the next step towards comprehending the fundamental nature of reality.

Relational Event-Time in Quantum Mechanics

Some authors, inspired by the theoretical requirements for the formulation of a quantum theory of gravity, proposed a relational reconstruction of the quantum parameter-time—the time of the unitary evolution, which would make quantum mechanics compatible with relativity. The aim of the present work is to follow the lead of those relational programs by proposing a relational reconstruction of the event-time—which orders the detection of the definite values of the system’s observables. Such a reconstruction will be based on the modal-Hamiltonian interpretation of quantum mechanics, which provides a clear criterion to select which observables acquire a definite value and to specify in what situation they do so.

Randomness and Irreversiblity in Quantum Mechanics: A Worked Example for a Statistical Theory.

The randomness of some irreversible quantum phenomena is a central question because irreversible phenomena break quantum coherence and thus yield an irreversible loss of information. The case of quantum jumps observed in the fluorescence of a single two-level atom illuminated by a quasi-resonant laser beam is a worked example where statistical interpretations of quantum mechanics still meet some difficulties because the basic equations are fully deterministic and unitary. In such a problem with two different time scales, the atom makes coherent optical Rabi oscillations between the two states, interrupted by random emissions (quasi-instantaneous) of photons where coherence is lost. To describe this system, we already proposed a novel approach, which is completed here. It amounts to putting a probability on the density matrix of the atom and deducing a general “kinetic Kolmogorov-like” equation for the evolution of the probability. In the simple case considered here, the probability only depends on a single variable describing the state of the atom, and yields the statistical properties of the atom under the joint effects of coherent pumping and random emission of photons. We emphasize that allows the description of all possible histories of the atom, as in Everett’s many-worlds interpretation of quantum mechanics. This yields solvable equations in the two-level atom case.

A Window of Our Own: Towards a Quantum Research Ontology

This article introduces the idea of quantum research as a way of approaching inquiry in spiritual/intuitive domains. This form of research combines scholarly and analytical knowledge with non-rational, non-analytical experiencing variously called direct/intuitive experiences (Tsao and Laszlo, 2019) or holistic consciousness (Goethe, in Bortoft, 1996). The article is written differently (Vachhani, 2019), and combines quantum theorizing with findings from an empirical postmodern text deconstruction study. The theorizing and empirical findings illuminate the beliefs, values, and norms of the Newtonian paradigm that continue to marginalize a quantum ontological perspective. Through a bricolage (Rogers, 2012) of interdisciplinary literature combined with findings from the postmodern (Beiser, 2011) deconstruction/imaginal study, the incommensurability between the Newtonian paradigm and quantum ontology is exposed. The bricolage illuminates the challenges and opportunities for legitimizing a quantum view of research. The article concludes with recommendations for future quantum research; for building a new window of our own.

Non-Markovian wave-function collapse models are Bohmian-like theories in disguise

Spontaneous collapse models and Bohmian mechanics are two different solutions to the measurement problem plaguing orthodox quantum mechanics. They have, a priori nothing in common. At a formal level, collapse models add a non-linear noise term to the Schrödinger equation, and extract definite measurement outcomes either from the wave function (e.g. mass density ontology) or the noise itself (flash ontology). Bohmian mechanics keeps the Schrödinger equation intact but uses the wave function to guide particles (or fields), which comprise the primitive ontology. Collapse models modify the predictions of orthodox quantum mechanics, whilst Bohmian mechanics can be argued to reproduce them. However, it turns out that collapse models and their primitive ontology can be exactly recast as Bohmian theories. More precisely, considering (i) a system described by a non-Markovian collapse model, and (ii) an extended system where a carefully tailored bath is added and described by Bohmian mechanics, the stochastic wave-function of the collapse model is exactly the wave-function of the original system conditioned on the Bohmian hidden variables of the bath. Further, the noise driving the collapse model is a linear functional of the Bohmian variables. The randomness that seems progressively revealed in the collapse models lies entirely in the initial conditions in the Bohmian-like theory. Our construction of the appropriate bath is not trivial and exploits an old result from the theory of open quantum systems. This reformulation of collapse models as Bohmian theories brings to the fore the question of whether there exists `unromantic' realist interpretations of quantum theory that cannot ultimately be rewritten this way, with some guiding law. It also points to important foundational differences between `true' (Markovian) collapse models and non-Markovian models.

Is the Information-Theoretic Interpretation of Quantum Mechanics an ontic structural realist view?

The Information-Theoretic Interpretation of Quantum Mechanics from (Bub & Pitowsky, 2010) has been criticized in two ways related to the ontological picture it supplies. This paper explores whether Ontic Structural Realism can supplement the metaphysics of ITIQM in a way that would satisfy its critics. The many similarities between the two views are detailed. And it is argued that the ITIQM view ca. 2010 does seem to be compatible with OSR, but as the view evolved in Bub's Bananaworld (2016), its fundamental metaphysical commitments shifted, making it a less clean fit with OSR.

Quantum Hǒrava-Lifshitz cosmology in the de Broglie–Bohm interpretation

Classical and quantum Friedmann-Lema\^itre-Robertson-Walker universes filled with non-interacting radiation and dust fluids are considered in the framework of Ho\v{r}ava-Lifshitz gravity theory. The Ho\v{r}ava-Lifshitz theory is set in its projectable version and without detailed balance condition. Canonical quantization is performed in the Wheeler-DeWitt approach of quantum cosmology for a minisuperspace model in the light of de Broglie-Bohm interpretation of quantum mechanics. The main results are analytical solutions for non-singular quantum bounce and cyclic universes for open and closed spatial sections in terms of the parameters of Ho\v{r}ava-Lifshitz theory.

E. Schr\xf6dinger\u2019s 1931 paper \u201cOn the Reversal of the Laws of Nature\u201d [\u201c\xdcber die Umkehrung der Naturgesetze\u201d, Sitzungsberichte der preussischen Akademie der Wissenschaften, physikalisch-mathematische Klasse, 8 N9 144\u2013153

We present an English translation of Erwin Schrödinger’s paper on “On the Reversal of the Laws of Nature‘’. In this paper, Schrödinger analyses the idea of time reversal of a diffusion process. Schrödinger’s paper acted as a prominent source of inspiration for the works of Bernstein on reciprocal processes and of Kolmogorov on time reversal properties of Markov processes and detailed balance. The ideas outlined by Schrödinger also inspired the development of probabilistic interpretations of quantum mechanics by Fényes, Nelson and others as well as the notion of “Euclidean Quantum Mechanics” as probabilistic analogue of quantization. In the second part of the paper, Schrödinger discusses the relation between time reversal and statistical laws of physics. We emphasize in our commentary the relevance of Schrödinger’s intuitions for contemporary developments in statistical nano-physics.

Photon quantum mechanics in real Hilbert space

Classically, electromagnetic pulses are described by real fields that couple to charged matter and propagate causally. We will show here that real fields of the form used in standard classical electromagnetic theory have a quantum mechanical interpretation in which the probability density for a photon to be at $\mathbf{x}$ is positive definite and operators representing all of the standard physical observables exist. A covariant alternative to the ${\ensuremath{\omega}}_{k}^{1/2}$ dependence that appears in most (but not all) presentations of quantum optics and quantum field theory is presented and real Lorentz scalar one-photon advanced and retarded potentials are derived.