Are the Laws of Quantum Logic Laws of Nature?

The main goal of quantum logic is the bottom-up reconstruction of quantum mechanics in Hilbert space. Here we discuss the question whether quantum logic is an empirical structure or a priori valid. There are good reasons for both possibilities. First, with respect to the possibility of a rational reconstruction of quantum mechanics, quantum logic follows a priori from quantum ontology and can thus not be considered as a law of nature. Second, since quantum logic allows for a reconstruction of quantum mechanics, self-referential consistency requires that the empirical content of quantum mechanics must be compatible with the presupposed quantum ontology. Hence, quantum ontology contains empirical components that are also contained in quantum logic. Consequently, in this sense quantum logic is also a law of nature.     

Consciousness and biological order: Toward a quantum theory of life and its evolution

Biological order is discussed within the context of the idealist interpretation of quantum mechanics. A quantum mechanism is proposed for quantum speciation and for quantum evolution, in general. It is shown that an extension of neo-Darwinism to include quantum evolution via a quantum mechanism can resolve some of the recent controversies that have rattled evolution theory. It is pointed out that the quantum approach has the further benefit of giving a straightforward insight into the nature of life itself. Experimental support for some aspects of the theory is discussed.     

三值量子逻辑进路探析

量子测量实验显示部分经典逻辑规则在量子世界中失效。标准量子逻辑进路通过特有的希尔伯特空间的格运算揭示出一种内在于微观物理学理论的概念框架结构,也即量子力学测量命题的正交补模或弱模格,解释了经典分配律的失效,它在形式化方面十分完美,但在解释方面产生了一些概念混乱。在标准量子逻辑进路之外,赖欣巴赫通过引入"不确定"的第三真值独立地提出一种不同的量子逻辑模型来解释量子实在的特征,不是分配律而是排中律失效,但是他的三值量子逻辑由于缺乏标准量子逻辑的上述优点而被认为与量子力学的概率空间所要求的潜在逻辑有很少联系。本文尝试引入一种新的三值逻辑模型来说明量子实在,它有以下优点:(1)满足卢卡西维茨创立三值逻辑的最初语义学假定;(2)克服赖欣巴赫三值量子逻辑的缺陷;(3)澄清标准量子逻辑遭遇的概念混乱;(4)充分地保留经典逻辑规则,特别是标准量子逻辑主张放弃的分配律。     

The Entanglement Structure of Quantum Field Systems

This article discusses the peculiar features of quantum entanglement and quantum non-locality within the algebraic approach to relativistic quantum field theory (RQFT). The debate on the ontology of RQFT is considered in the light of these well-known but little discussed features. In particular, this article examines the ontic structural realist understanding of quantum entanglement and quantum non-locality and its contribution to this debate.     

QUANTUM THEOLOGY BEYOND COPENHAGEN: TAKING FUNDAMENTALISM LITERALLY

Theological engagement with quantum physics has, to this day, been dominated by the Copenhagen interpretation. However, philosophers and physicists working in the “quantum foundations” field have largely abandoned the Copenhagen view on account of what is widely seen as its troublesome antirealism. Other metaphysical approaches have come to the fore instead, which often take a strongly realist flavor, such as de Broglie-Bohm, or Everett's “Many-Worlds” interpretation. In the spirit of recent quantum foundations work, this article introduces a collection of studies aimed at taking quantum theology “beyond Copenhagen.” The present article advocates a commitment to “quantum fundamentalism,” which could resolve some of the enduring ontological problems faced by existing theological work with quantum mechanics, especially in discussions of quantum special divine action. Taking quantum fundamentalism literally would mean a departure from the Copenhagen interpretation, and the article suggests the need for a new research program to lay the groundwork in the natural theology of quantum foundations.     

Is the Brain a Quantum Computer?

We argue that computation via quantum mechanical processes is irrelevant to explaining how brains produce thought, contrary to the ongoing speculations of many theorists. First, quantum effects do not have the temporal properties required for neural information processing. Second, there are substantial physical obstacles to any organic instantiation of quantum computation. Third, there is no psychological evidence that such mental phenomena as consciousness and mathematical thinking require explanation via quantum theory. We conclude that understanding brain function is unlikely to require quantum computation or similar mechanisms.     

A quantum probability account of order effects in inference

Order of information plays a crucial role in the process of updating beliefs across time. In fact, the presence of order effects makes a classical or Bayesian approach to inference difficult. As a result, the existing models of inference, such as the belief-adjustment model, merely provide an ad hoc explanation for these effects. We postulate a quantum inference model for order effects based on the axiomatic principles of quantum probability theory. The quantum inference model explains order effects by transforming a state vector with different sequences of operators for different orderings of information. We demonstrate this process by fitting the quantum model to data collected in a medical diagnostic task and a jury decision-making task. To further test the quantum inference model, a new jury decision-making experiment is developed. Using the results of this experiment, we compare the quantum inference model with two versions of the belief-adjustment model, the adding model and the averaging model. We show that both the quantum model and the adding model provide good fits to the data. To distinguish the quantum model from the adding model, we develop a new experiment involving extreme evidence. The results from this new experiment suggest that the adding model faces limitations when accounting for tasks involving extreme evidence, whereas the quantum inference model does not. Ultimately, we argue that the quantum model provides a more coherent account for order effects that was not possible before.     

Does God Cheat at Dice? Divine Action and Quantum Possibilities

The recent debates concerning divine action in the context of quantum mechanics are examined with particular reference to the work of William Pollard, Robert J. Russell, Thomas Tracy, Nancey Murphy, and Keith Ward. The concept of a quantum mechanical "event" is elucidated and shown to be at the center of this debate. An attempt is made to clarify the claims made by the protagonists of quantum mechanical divine action by considering the measurement process of quantum mechanics in detail. Four possibilities for divine influence on quantum mechanics are identified and the theological and scientific implications of each discussed. The conclusion reached is that quantum mechanics is not easily reconciled with the doctrine of divine action.     

Explanation and the quantum state

This paper argues that there are good reasons to adopt a non‐reductive account of states when it comes to quantum mechanics. That is to say, it is argued that there are advantages to thinking about states as sui generis, as reducible to classes of values of quantities, when it comes to the quantum domain. One reason for holding this view is that it seems to improve the prospects for explanation. In more detail, it is argued that there is an “explanatory shortfall” in the quantum domain owing to the failure of value definiteness. To remedy this situation, two proposals are put forward about the nature of the quantum state: Proposal A, that the quantum state is the only first‐order property of quantum systems, Proposal B, that the quantum state is one first‐order property among many. These proposals seem equally good.     

Subjectivist – observing and objective – participant perspectives on the world: Kant,aquinas and quantum mechanics

Theological thinking is influenced by perspectives on the relation of scientific knowledge to reality. Two paradigms for understanding the nature of human knowledge are considered in relation to quantum mechanics: the subjective-observing perspective of Kant, and the objective-participant perspective of Thomas Aquinas. I discuss whether quantum mechanics necessarily implies a subject centered perspective on reality, and argue, with reference to d'Espagnat's notion of veiled reality, that quantum non-separability challenges this view. I then explore whether the objective-participant perspective of Thomas Aquinas provides a more fruitful context for understanding quantum mechanics. I discuss quantum measurement in terms of the transition from potentiality to actuality, and knowledge as the latent intelligibility of the world realized. However, the negative nature of our knowledge of quantum non-separability also challenges this perspective. Our theological thinking in response to quantum knowledge must therefore proceed tentatively, balancing a via positiva, with a via negativa.     

Potential, propensity, and categorical realism

I argue that categorical realism, contrary to what most believe today, holds for quantum (and indeed for all) objects and substances. The main argument consists of two steps: (i) the recent experimental verification of the AB effect gives strong empirical evidence for taking quantum potentials as physically real (or substantival), which suggests a change of the data upon which any viable interpretation of quantum theory must rely, and (ii) quantum potentials may be consistently taken as the categorical properties of quantum objects so that categorical realism can be restored.     

Quantum mechanics, interference, and the brain

In this paper we discuss the use of quantum mechanics to model psychological experiments, starting by sharply contrasting the need of these models to use quantum mechanical nonlocality instead of contextuality. We argue that contextuality, in the form of quantum interference, is the only relevant quantum feature used. Nonlocality does not play a role in those models. Since contextuality is also present in classical models, we propose that classical systems be used to reproduce the quantum models used. We also discuss how classical interference in the brain may lead to contextual processes, and what neural mechanisms may account for it.     

The problem of properties in quantum mechanics

The properties of classical and quantum systems are characterized by different algebraic structures. We know that the properties of a quantum mechanical system form a partial Boolean algebra not embeddable into a Boolean algebra, and so cannot all be co-determinate. We also know that maximal Boolean subalgebras of properties can be (separately) co-determinate. Are there larger subsets of properties that can be co-determinate without contradiction? Following an analysis of Bohrs response to the Einstein-Podolsky-Rosen objection to the complementarity interpretation of quantum mechanics, a principled argument is developed justifying the selection of particular subsets of properties as co-determinate for a quantum system in particular physical contexts. These subsets are generated by sets of maximal Boolean subalgebras, defined in each case by the relation between the quantum state and a measurement (possibly, but not necessarily, the measurement in terms of which we seek to establish whether or not a particular property of the system in question obtains). If we are required to interpret quantum mechanics in this way, then predication for quantum systems is quite unlike the corresponding notion for classical systems.     

Forms of Quantum Nonseparability and Related Philosophical Consequences

Standard quantum mechanics unquestionably violates the separability principle that classical physics (be it point-like analytic, statistical, or field-theoretic) accustomed us to consider as valid. In this paper, quantum nonseparability is viewed as a consequence of the Hilbert-space quantum mechanical formalism, avoiding thus any direct recourse to the ramifications of Kochen-Specker’s argument or Bell’s inequality. Depending on the mode of assignment of states to physical systems – unit state vectors versus non-idempotent density operators – we distinguish between strong/relational and weak/deconstructional forms of quantum nonseparability. The origin of the latter is traced down and discussed at length, whereas its relation to the all important concept of potentiality in forming a coherent picture of the puzzling entangled interconnections among spatially separated systems is also considered. Finally, certain philosophical consequences of quantum non-separability concerning the nature of quantum objects, the question of realism in quantum mechanics, and possible limitations in revealing the actual character of physical reality in its entirety are explored.     

Reflections on the deBroglie–Bohm Quantum Potential

The deBroglie–Bohm quantum potential is the potential energy function of the wave field. The quantum potential facilitates the transference of energy from wave field to particle and back again which accounts for energy conservation in isolated quantum systems. Factors affecting energy exchanges and the form of the quantum potential are discussed together with the related issues of the absence of a source term for the wave field and the lack of a classical back reaction.     

Response to Stuart Kauffman: The Cosmic Mind and NIODA

Non-locality, indeterminacy, the meaning of the Schrödinger equation, and quantum measurements are interpretation issues in quantum mechanics that go beyond our typical view of the world through the classical physics lenses of the mechanistic determinism. In “Cosmic Mind?,” Stuart Kauffman offers an interpretation of the Schrödinger equation and quantum measurements that might support a cosmic mind. Robert John Russell in NIODA uses the indeterminacy to offer a mechanism for God to interact with nature. This response reviews these two interpretations of quantum mechanics with respect to the two-slit and EPR experiments and how these two interpretations of quantum mechanics could solve issues of interpretations.     

THE FALSE PROMISE OF QUANTUM MECHANICS

The causal indeterminacy suggested by quantum mechanics has led to its being the centerpiece of several proposals for divine action that does not contradict natural laws. However, even if the theoretical concerns about the reality of causal indeterminacy are ignored, quantum‐level divine action fails to resolve the problem of ongoing, responsive divine activity. This is because most quantum‐level actions require a significant period of time in order to reach macroscopic levels whether via chaotic amplification or complete divine control of quantum events. Therefore, quantum‐level divine action either requires divine foreknowledge of purportedly free or random events or imposes such limitations on divine actions that they become late, potentially impotent, and confused. I argue that the theological problem of divine action remains; even at its most promising, quantum mechanics offers insufficient resolution. This failure suggests a reexamination of the assumptions that God is temporal and lacks foreknowledge of future contingencies.     

一种新决策模型——量子决策模型

近10年以来, 一些学者基于量子理论研究思想与方法探索出了量子决策模型。由于该模型独特的理论结构, 它可被用于解释传统决策理论所难以解释的问题, 尤其是个体在不确定情况下的决策行为。该模型解释了诸如分离效应、分类决策的干涉效应以及合取谬误等传统决策模型很难解释的问题, 研究者已经证实其中一种称为量子问题等式的决策模型可以精确地预测决策中的顺序效应。作为一个有助于分析心理学中决策现象的新研究领域, 量子决策模型具有深入研究的理论意义和实践意义。     

Indeterminacy and consciousness in the creative process: What quantum physics has to offer

The quantum view of creativity, based on Goswami's idealistic interpretation of quantum physics, is presented. It provides a resolution for two controversial areas of creativity theory and research: the “aha”; experience and the role of consciousness. According to the quantum model, the mind‐brain consists of classical and quantum functions and structures. The source for creative ideation lies in the quantum realm in the form of unlearned coherent superpositions or states of simultaneous multiple possibilities. While access of coherent superpositions (CohS) are susceptible to interference from classical domain functions, such as attention, the CohS itself is experienced as an altered state, facilitating creative ideation. The relationships among attention, self‐awareness, context, ambiguity, uncertainty, and conscious and unconscious perception in creative ideation are proposed to be experienced discontinuously due to an indeterminate element inherent in nature. Theoretical and empirical investigation of the above propositions is possible through quantum physics.     

A quantum approach to visual consciousness

A theoretical approach relying on quantum computation in microtubules within neurons can potentially resolve the enigmatic features of visual consciousness, but raises other questions. For example, how can delicate quantum states, which in the technological realm demand extreme cold and isolation to avoid environmental ‘decoherence’, manage to survive in the warm, wet brain? And if such states could survive within neuronal cell interiors, how could quantum states grow to encompass the whole brain? We present a physiological model for visual consciousness that can accommodate brain-wide quantum computation according to the Penrose–Hameroff ‘Orch OR’ model. In this view, visual consciousness occurs as a series of several-hundred-millisecond epochs, each comprising ‘crescendo sequences’ of quantum computations occurring at ∼40 Hz.