Applying the concepts of Kolmogorov-Chaitin complexity and Turing’s uncomputability from the computability and algorithmic information theories to the irreducible and incomputable randomness of quantum mechanics, a novel argument for the existence of God is presented. Concepts of ‘transintelligence’ and ‘transcausality’ are introduced, and from them, it is posited that our universe must be epistemologically and ontologically an open universe. The proposed idea also proffers a new perspective on the nonlocal nature and the infamous wave-function-collapse problem of (...) class='Hi'>quantum mechanics. (shrink)

Recent experiments allowed concluding that Bell-type inequalities are indeed violated thus it is important to understand what it means and how can we explain the existence of strong correlations between outcomes of distant measurements. Do we have to announce that: Einstein was wrong, Nature is nonlocal and nonlocal correlations are produced due to the quantum magic and emerge, somehow, from outside space-time? Fortunately such conclusions are unfounded because if supplementary parameters describing measuring instruments are correctly incorporated in a theoretical (...) model then Bell-type inequalities may not be proven .We construct a simple probabilistic model explaining these correlations in a locally causal way. In our model measurement outcomes are neither predetermined nor produced in irreducibly random way. We explain in detail why, contrary to the general belief; an introduction of setting dependent parameters does not restrict experimenters’ freedom of choice. Since the violation of Bell-type inequalities does not allow concluding that Nature is nonlocal and that quantum theory is complete thus the Bohr-Einstein quantum debate may not be closed. The continuation of this debate is not only important for a better understanding of Nature but also for various practical applications of quantum phenomena. (shrink)

Quantum computing is of high interest because it promises to perform at least some kinds of computations much faster than classical computers. Arute et al. 2019 (informally, “the Google Quantum Team”) report the results of experiments that purport to demonstrate “quantum supremacy” – the claim that the performance of some quantum computers is better than that of classical computers on some problems. Do these results close the debate over quantum supremacy? We argue that they do (...) not. In the following, we provide an overview of the Google Quantum Team’s experiments, then identify some open questions in the quest to demonstrate quantum supremacy. (shrink)

Absolute nothing is the absence of our universe and its laws. Without these rules, nothingness has infinite potential. This implies that within the infinite probability of nothing, infinity can emerge. This would be expressed through infinite universes like our own. Infinite of these universes will differ by several particles, appearing and disappearing for no reason other than fulfilling every possibility. This universe is the product of a greater realisation of infinity and we can test this theory via the measurement of (...) our universe’s most fundamental particles appearing and disappearing for no discernible internal reason (random to our perspective). (shrink)

A view that emancipates free will by means of quantum indeterminism is frequently rejected based on arguments pointing out its incompatibility with what we know about quantum physics. However, if one carefully examines what classical physical causal determinism and quantum indeterminism are according to physics, it becomes clear what they really imply–and, especially, what they do not imply–for agent-causation theories. Here, we will make necessary conceptual clarifications on some aspects of physical determinism and indeterminism, review some of (...) the major objections against libertarian conjectures, and show that there is no conceptual incompatibility preventing us from taking a ‘quantum-libertarian’ approach to the problem of free will. In particular, we will illustrate the possible role of self-causation (causa sui) as a potential solution to otherwise apparently incompatible or even paradoxical statements concerning free will and quantum indeterminism. (shrink)

We look into the ontology of quantum theory as distinct from that of the classical theory in the sciences. Theories carry with them their own ontology while the metaphysics may remain the same in the background. We follow a broadly Kantian tradition, distinguishing between the noumenal and phenomenal realities where the former is independent of our perception while the latter is assembled from the former by means of fragmentary bits of interpretation. Theories do not tell us how the noumenal (...) world is constituted but are conceptual constructs applying to models generated in the phenomenal world within limited contexts. -/- The ontology of quantum theory principally rests on the view that entities in the world are pervasively correlated with one another not by means of probabilities as in the case of the classical theory, but by means of probability amplitudes involving finely tuned phases characterising the oscillatory behaviour of quantum mechanical states. -/- The amplitude-dependent correlations (quantum entanglement) exist over and above the classical ones expressed in terms of probabilities. While the classical correlations are essentially local in nature, quantum correlations are shared globally in the process of environment-induced decoherence. The decoherence is an effectively random process that removes local correlations in the course of global sharing of entanglement—the removal being especially manifest in the case of systems that appear as classical ones. It is this aspect of the decoherence process that makes the so-called measurement postulate (one relating to wave function collapse) cohere with the rest of the principles of quantum theory where the latter implies a Schrodinger type time evolution of quantum mechanical systems. -/- The mathematical basis of the quantum correlations consists of the description of pure states of a system in terms of vectors in a linear vector space (a mixed state appears as an admixture of pure states with some probability distribution associated with it) and, in addition, the description of (pure) states of composite systems as vectors in the product space arising from the component sub-systems. -/- The crucial aspect of the decoherence process, of significance in the context of the apparent incompatibility of the measurement postulate with the unitary Schrodinger evolution, relates to the fact that it is almost instantaneous in the case of a classical object (one that is nevertheless amenable to a quantum description). Indeed, the decoherence time is, in all likelihood, of the order of the Planck scale, being driven by field fluctuations in the Planck regime. This points to factors of an unknown nature determining the finest details of the decoherence process since Planck scale physics remains an obscure terrain. -/- In other words, quantum theory is, to all intents and purposes, in the need of a radical revision, in keeping with the fact that all theories are defeasible and need revision as our domains of experience expand and get realigned in a complex manner. The context within which quantum theory (and quantum field theory too) is defined is set precisely by the Planck scale, across which a novel theoretical framework is likely to emerge. However, as in the case of theory revisions in general, that emerging theory will stand in an asymmetric relation of incommensurability with the present-day quantum theory, where the concepts of the latter will be comprehensible in terms of those of the former, but the converse will not hold. (shrink)

In this paper we consider the possibility of a Quantum Molinism : such a view applies an analogue of the Molinistic account of free will‘s compatibility with God’s foreknowledge to God’s knowledge of (supposedly) indeterministic events at a quantum level. W e ask how (and why) a providential God could care for and know about a world with this kind of indeterminacy. We consider various formulations of such a Quantum Molinism, and after rejecting a number of options (...) arrive at one seemingly coherent formulation. (shrink)

We shall draw an affirmative answer to the question posed in the title. The key point will be a quantum description of physical reality. Once fixed at ontic level two basic elements, namely the laws of physics and the matter, we argue that the underlying physical reality emerges from the interconnection between these two elements. We consider any physical process, including measurement, modeled by unitary evolution. In this context, we will deduce quantum random- ness as a consequence of (...) inclusion of the observer into the quantum system. The global picture of the universe is in a sense deterministic, but from our own local perspective (as part of the system) we perceive quantum mechanical randomness. Then, the notion of "information" turns out to be a derivative concept. (shrink)

A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions about objects in a multiplicity of worlds. In this logical framework, the continuum of worlds is treated in analogy to the continuum of time points; both “time” and “world” are considered as mutually independent modes of existence. The theory combines elements of Bohmian mechanics and (...) of Everett’s many-worlds interpretation; it has a clear ontology and a set of precisely defined postulates from where the predictions of standard quantum mechanics can be derived. Probability as given by the Born rule emerges as a consequence of insufficient knowledge of observers about which world it is that they live in. The theory describes a continuum of worlds rather than a single world or a discrete set of worlds, so it is similar in spirit to many-worlds interpretations based on Everett’s approach, without being actually reducible to these. In particular, there is no splitting of worlds, which is a typical feature of Everett-type theories. Altogether, the theory explains (1) the subjective occurrence of probabilities, (2) their quantitative value as given by the Born rule, and (3) the apparently random “collapse of the wavefunction” caused by the measurement, while still being an objectively deterministic theory. (shrink)

Although quantum mechanics can accurately predict the probability distribution of outcomes in an ensemble of identical systems, it cannot predict the result of an individual system. All the local and global hidden variable theories attempting to explain individual behavior have been proved invalid by experiments (violation of Bell’s inequality) and theory. As an alternative, Schrodinger and others have hypothesized existence of free will in every particle which causes randomness in individual results. However, these free will theories have failed (...) to quantitatively explain the quantum mechanical results. In this paper, we take the clue from quantum biology to get the explanation of quantum mechanical distribution. Recently it was reported that mutations (which are quantum processes) in DNA of E. coli bacteria instead of being random were biased in a direction such that the chance of survival of the bacteria is increased. Extrapolating it, we assume that all the particles including inanimate fundamental particles have a will and that is biased to satisfy the collective goals of the ensemble. Using this postulate, we mathematically derive the correct spin probability distribution without using quantum mechanical formalism (operators and Born’s rule) and exactly reproduce the quantum mechanical spin correlation in entangled pairs. Using our concept, we also mathematically derive the form of quantum mechanical wave function of free particle which is conventionally a postulate of quantum mechanics. Thus, we prove that the origin of quantum mechanical results lies in the will (or consciousness) of the objects biased by the collective goal of ensemble or universe. This biasing by the group on individuals can be called as “coherence” which directly represents the extent of life present in the ensemble. So, we can say that life originates out of establishment of coherence in a group of inanimate particles. (shrink)

This paper discusses the extent to which advances in quantum physics can affect ideas of free will and determinism. It questions whether arguments that conclude the existence of free will from quantum physics are as valid as they seem. -/- The paper discusses the validity of Searle’s philosophy of mind, Robert Kane’s parallel processing, and Ted Honderich’s near-determinism, as well as dealing with chaos theory, the relationship between ‘randomness’ and ‘unpredictability,’ and Bell’s theorem, discussing how they can (...) be used to answer the question regarding quantum physics and free will. -/- The paper is tentative towards forming any definitive conclusion due to the ambiguity and confusion surrounding quantum physics but alludes to the idea that quantum randomness not only retracts from universal determinism, but also retracts from human free will, thus theorising a form of universal chaos and unpredictability. (shrink)

This paper introduces several new classes of mathematical structures that have close connections with physics and with the theory of dynamical systems. The most general of these structures, called generalized stochastic systems, collectively encompass many important kinds of stochastic processes, including Markov chains and random dynamical systems. This paper then states and proves a new theorem that establishes a precise correspondence between any generalized stochastic system and a unitarily evolving quantum system. This theorem therefore leads to a new formulation (...) of quantum theory, alongside the Hilbert-space, path-integral, and quasiprobability formulations. The theorem also provides a first-principles explanation for why quantum systems are based on the complex numbers, Hilbert spaces, linear-unitary time evolution, and the Born rule. In addition, the theorem suggests that by selecting a suitable Hilbert space, together with an appropriate choice of unitary evolution, one can simulate any generalized stochastic system on a quantum computer, thereby potentially opening up an extensive set of novel applications for quantum computing. (shrink)

Strong claims have been made for emergence as a new paradigm for understanding science, consciousness, and religion. Tracing the past history and current definitions of the concept, Clayton assesses the case for emergent phenomena in the natural world and their significance for philosophy and theology. Complex emergent phenomena require irreducible levels of explanation in physics, chemistry and biology. This pattern of emergence suggests a new approach to the problem of consciousness, which is neither reducible to brain states nor proof (...) of a mental substance or soul. Although emergence does not entail classical theism, it is compatible with a variety of religious positions. Clayton concludes with a defence of emergentist panentheism and a Christian constructive theology consistent with the new sciences of emergence. (shrink)

In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there are (...) two sources of randomness in such a universe: the quantum-mechanical probabilities of the Born rule and the statistical mechanical probabilities of the Statistical Postulate. I propose a new way to understand time's arrow in a quantum universe. It is based on what I call the Thermodynamic Theories of Quantum Mechanics. According to this perspective, there is a natural choice for the initial quantum state of the universe, which is given by not a wave function but by a density matrix. The density matrix plays a microscopic role: it appears in the fundamental dynamical equations of those theories. The density matrix also plays a macroscopic / thermodynamic role: it is exactly the projection operator onto the Past Hypothesis subspace. Thus, given an initial subspace, we obtain a unique choice of the initial density matrix. I call this property "the conditional uniqueness" of the initial quantum state. The conditional uniqueness provides a new and general strategy to eliminate statistical mechanical probabilities in the fundamental physical theories, by which we can reduce the two sources of randomness to only the quantum mechanical one. I also explore the idea of an absolutely unique initial quantum state, in a way that might realize Penrose's idea of a strongly deterministic universe. (shrink)

The paper is concentrated on the special changes of the conception of causality from quantum mechanics to quantum information meaning as a background the revolution implemented by the former to classical physics and science after Max Born’s probabilistic reinterpretation of wave function. Those changes can be enumerated so: (1) quantum information describes the general case of the relation of two wave functions, and particularly, the causal amendment of a single one; (2) it keeps the physical description to (...) be causal by the conservation of quantum information and in accordance with Born’s interpretation; (3) it introduces inverse causality, “backwards in time”, observable “forwards in time” as the fundamentally random probability density distribution of all possible measurements of any physical quantity in quantum mechanics; (4) it involves a kind of “bidirectional causality” unifying (4.1) the classical determinism of cause and effect, (4.2) the probabilistic causality of quantum mechanics, and (4.3) the reversibility of any coherent state; (5) it identifies determinism with the function successor in Peano arithmetic, and its proper generalized causality with the information function successor in Hilbert arithmetic. (shrink)

Privileged-perspective realism (PPR) is a version of metaphysical realism that takes certain irreducibly perspectival facts to be partly constitutive of reality. PPR asserts that there is a single metaphysically privileged standpoint from which these perspectival facts obtain. This chapter discusses several views that fall under the category of privileged-perspective realism. These include presentism, which is PPR about tensed facts, and non-multiverse interpretations of quantum mechanics, which the chapter argues, constitute PPR about world-indexed facts. Using the framework of the bird (...) perspective and the frog perspective, it argues that PPR views methodologically treat the frog perspective as metaphysically primary. This chapter considers case studies of metaphysical interpretations of special relativity and quantum mechanics in order to demonstrate that such motivations for PPR are non-naturalistic. Further, it considers psychological factors that motivate the appeal of PPR views and offers naturalistic explanations of why we should not expect them to produce an adequate metaphysics of science. (shrink)

The perception of reality by biosystems is based on different, and in certain respects more effective, principles than those utilized by the more formal procedures of science. As a result, what appears as random pattern to the scientific method can be meaningful pattern to a living organism. The existence of this complementary perception of reality makes possible in principle effective use by organisms of the direct interconnections between spatially separated objects shown to exist in the work of J. S. Bell.

Quantum mechanics is a fundamental theory in physics that describes the behavior of subatomic particles and systems at very small scales. Unlike classical theories, quantum mechanics introduces elements of indeterminism in the description of physical phenomena. There are fundamental limits to the precision with which certain physical properties, such as the position and momentum of a particle, can be measured simultaneously. This implies that, even if all the initial conditions of a quantum system are known, its future (...) behavior cannot be predicted with absolute certainty. -/- This quantum indeterminacy raises philosophical questions about determinism and free will, as well as their relationship to morality. Determinism holds that all actions and events are predetermined by prior causes, which challenges the traditional notion of moral responsibility based on control and predictability. In contrast, indeterminism posits that there are elements of randomness and variability in the workings of the universe. -/- From a moral and philosophical point of view, the presence of indeterminism in quantum mechanics poses challenges to the attribution of moral responsibility. If our actions are influenced by random events, how can we be morally responsible for them? (shrink)

After some suggestions about how to clarify the confused metaphysical distinctions between dispositional and non-dispositional or categorical properties, I review some of the main interpretations of QM in order to show that – with the relevant exception of Bohm’s minimalist interpretation – quantum ontology is irreducibly dispositional. Such an irreducible character of dispositions must be explained differently in different interpretations, but the reducibility of the contextual properties in the case of Bohmian mechanics is guaranteed by the fact that (...) the positions of particles play the role of the categorical basis, a role that in other interpretations cannot be filled by anything else. In Bohr’s and Everett-type interpretations, dispositionalism is instrumentalism in disguise. (shrink)

This paper puts forward the hypothesis that the distinctive features of quantum statistics are exclusively determined by the nature of the properties it describes. In particular, all statistically relevant properties of identical quantum particles in many-particle systems are conjectured to be irreducible, ‘inherent’ properties only belonging to the whole system. This allows one to explain quantum statistics without endorsing the ‘Received View’ that particles are non-individuals, or postulating that quantum systems obey peculiar probability distributions, or (...) assuming that there are primitive restrictions on the range of states accessible to such systems. With this, the need for an unambiguously metaphysical explanation of certain physical facts is acknowledged and satisfied. (shrink)

Teller argued that violations of Bell’s inequalities are to be explained by interpreting quantum entangled systems according to ‘relational holism’, that is, by postulating that they exhibit irreducible (‘inherent’) relations. Teller also suggested a possible application of this idea to quantum statistics. However, the basic proposal was not explained in detail nor has the additional idea about statistics been articulated in further work. In this article, I reconsider relational holism, amending it and spelling it out as appears (...) necessary for a proper assessment, and application, of the position. †To contact the author, please write to: FB Philosophie‐Zukunftskolleg, University of Konstanz, Universitätstraße 10, 78464, Konstanz, Germany; e‐mail: matteo.morganti@uni ‐konstanz.de. (shrink)

Physical systems can store information and their informational properties are governed by the laws of information. In particular, the amount of information that a physical system can convey is limited by the number of its degrees of freedom and their distinguishable states. Here we explore the properties of the physical systems with absolutely one degree of freedom. The central point in these systems is the tight limitation on their information capacity. Discussing the implications of this limitation we demonstrate that such (...) systems exhibit a number of features, such as randomness, no-cloning, and non-commutativity, which are peculiarities attributed to quantum mechanics (QM). After demonstrating many astonishing parallels to quantum behavior, we postulate an interpretation of quantum physics as the physics of systems with a single degree of freedom. We then show how a number of other quantum conundrum can be understood by considering the informational properties of the systems and also resolve the EPR paradox. In the present work, we assume that the formalism of the QM is correct and well-supported by experimental verification and concentrate on the interpretational aspects of the theory. (shrink)

In this text the ancient philosophical question of determinism (“Does every event have a cause ?”) will be re-examined. In the philosophy of science and physics communities the orthodox position states that the physical world is indeterministic: quantum events would have no causes but happen by irreducible chance. Arguably the clearest theorem that leads to this conclusion is Bell’s theorem. The commonly accepted ‘solution’ to the theorem is ‘indeterminism’, in agreement with the Copenhagen interpretation. Here it is recalled (...) that indeterminism is not really a physical but rather a philosophical hypothesis, and that it has counterintuitive and far-reaching implications. At the same time another solution to Bell’s theorem exists, often termed ‘superdeterminism’ or ‘total determinism’. Superdeterminism appears to be a philosophical position that is centuries and probably millennia old: it is for instance Spinoza’s determinism. If Bell’s theorem has both indeterministic and deterministic solutions, choosing between determinism and indeterminism is a philosophical question, not a matter of physical experimentation, as is widely believed. If it is impossible to use physics for deciding between both positions, it is legitimate to ask which philosophical theories are of help. Here it is argued that probability theory – more precisely the interpretation of probability – is instrumental for advancing the debate. It appears that the hypothesis of determinism allows to answer a series of precise questions from probability theory, while indeterminism remains silent for these questions. From this point of view determinism appears to be the more reasonable assumption, after all. (shrink)

In this paper, we present a case of a boy – Noah Wall, who till today surprises the world of neuroscience with his will to grow his brain and survive. The case presented in this study sets a stepping stone in understanding the advent of the will to make a choice, from a neuro-quantum mechanics interpretation. We propose that besides our internal states of choices (neurogenesis, neuroplasticity, cell differentiation, etc.) we also relate with external states of choices (love, compassion, (...) empathy, emotions, etc.) that contributes to its emergence. Quantum uncertainty seems to support the existence of a fundamental property based on which the universe functions; which means that even the nothing of free space has a small chance of containing something. Outcomes are not determined by prior or random events but by consciousness that gives rise to these outcomes. This provides us a lead into understanding the existence of the will and the origin of choice when we look deeper into the realms of the implausible interpretations of quantum mechanics. Free will is the ability for the mind to choose between possible outcomes. Willful power is therefore not only a psychological intervention but also a biological and quantum intervention, where we have the capacity to make choices about what direction we will take, making a change to the systematic functioning of our body. (shrink)

What is the boundary between the animate and inanimate world? It is obvious that the animate world is under rules of inanimate world. Is the converse true? This paper is aimed at imposing the well-known Darwin's theory of evolution to inanimate world of atomic realm where bizarre behavior of electron challenges our everyday perception of inanimate world. This paper, suggests a weird, peculiar and highly elegant speculation of existing, leads suspicious about validity of the law of conservation of mass, provides (...) conceptual foundation for many odd explanations of quantum mechanics such wave-particle duality of elementary particles, the inherent randomness and probabilistic nature of world as quantum mechanics states, the Louis de Broglie proposition of wave-like behavior of moving particles, Schrödinger's wave function description of probability of finding electron at any location around the nucleus and even the roots of causality. It defines existence as follows: "All the elementary particles emerge spontaneously and randomly in space where the possibility of conforming the physical laws is higher and after appearing if they not conform the laws of physics, they vanish." It proposes, the emerging from nothing, as a natural process and in other word there is an inherent urge to existence not only for animate world but also for inanimate world. Assuming the correctness of the proposed speculation, leads to dramatic development of human perception of existing, reality and interaction with world. (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)

This survey tries to investigate the truths and deficiencies of prevalent philosophy about Uncertainty Relations (UR) and Quantum Measurements (QMS). The respective philosophy, known as being eclipsed by unfinished controversies, is revealed to be grounded on six basic precepts. But one finds that all the respective precepts are discredited by insurmountable deficiencies. So, in regard to UR, the alluded philosophy discloses oneself to be an unjustified mythology. Then UR appear either as short-lived historical conventions or as simple and limited (...) mathematical formulas, without any essential significance for physics. Such a finding reinforces the Dirac’s prediction that UR “in their present form will not survive in the physics of future”. The noted facets of UR motivate reconsiderations of associated debates on QMS. Mainly one reveals that, properly, UR have not any essential connection with genuine descriptions of QMS. For such descriptions, it is necessary that, mathematically, the quantum observables to be considered as random variables. The measuring scenarios with a single sampling, such are wave function collapse or Schrodinger’s cat thought experiment, are revealed as being useless ¨inventions. We propose to describe QMS as transmission processes for stochastic data. Note that, for existing quantum debates, the above UR–QMS revaluations, offer a few arguments for lucrative parsimony in approaches of matters. The unlucrative aspects of those debates have to be reconsidered too, probably in more or less speculative visions. (shrink)

I have read many recent discussions of the limits of computation and the universe as computer, hoping to find some comments on the amazing work of polymath physicist and decision theorist David Wolpert but have not found a single citation and so I present this very brief summary. Wolpert proved some stunning impossibility or incompleteness theorems (1992 to 2008-see arxiv dot org) on the limits to inference (computation) that are so general they are independent of the device doing the computation, (...) and even independent of the laws of physics, so they apply across computers, physics, and human behavior. They make use of Cantor's diagonalization, the liar paradox and worldlines to provide what may be the ultimate theorem in Turing Machine Theory, and seemingly provide insights into impossibility, incompleteness, the limits of computation, and the universe as computer, in all possible universes and all beings or mechanisms, generating, among other things, a non- quantum mechanical uncertainty principle and a proof of monotheism. There are obvious connections to the classic work of Chaitin, Solomonoff, Komolgarov and Wittgenstein and to the notion that no program (and thus no device) can generate a sequence (or device) with greater complexity than it possesses. One might say this body of work implies atheism since there cannot be any entity more complex than the physical universe and from the Wittgensteinian viewpoint, ‘more complex’ is meaningless (has no conditions of satisfaction, i.e., truth-maker or test). Even a ‘God’ (i.e., a ‘device’with limitless time/space and energy) cannot determine whether a given ‘number’ is ‘random’, nor find a certain way to show that a given ‘formula’, ‘theorem’ or ‘sentence’ or ‘device’ (all these being complex language games) is part of a particular ‘system’. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 2nd ed (2019) and Suicidal Utopian Delusions in the 21st Century 4th ed (2019) . (shrink)

Triadic (systemical) logic can provide an interpretive paradigm for understanding how quantum indeterminacy is a consequence of the formal nature of light in relativity theory. This interpretive paradigm is coherent and constitutionally open to ethical and theological interests. -/- In this statement: -/- (1) Triadic logic refers to a formal pattern that describes systemic (collaborative) processes involving signs that mediate between interiority (individuation) and exteriority (generalized worldview or Umwelt). It is also called systemical logic or the logic of relatives. (...) The term "triadic logic" emphasizes that this logic involves mediation of dualities through an irreducibly triadic formalism. The term "systemical logic" emphasizes that this logic applies to systems in contrast to traditional binary logic which applies to classes. The term "logic of relatives" emphasizes that this logic is background independent (in the sense discussed by Smolin ). -/- (2) An interpretive paradigm refers to a way of thinking that generates an understanding through concepts, their inter-relationships and their connections with experience. -/- (3) Coherence refers to holistic integrity or continuity in the meaning of concepts that form an interpretation or understanding. -/- (4) Constitutionally open refers to an inherent dependence in principle of an interpretation or understanding on something outside of a specific discipline's discourse or domain of inquiry (epistemic system). Interpretations that are constitutionally open are incomplete in themselves and open to responsive, interdisciplinary discourse and collaborative learning. (shrink)

The aim of this paper is to argue that the (alleged) indeterminism of quantum mechanics, claimed by adherents of the Copenhagen interpretation since Born (1926), can be proved from Chaitin's follow-up to Goedel's (first) incompleteness theorem. In comparison, Bell's (1964) theorem as well as the so-called free will theorem-originally due to Heywood and Redhead (1983)-left two loopholes for deterministic hidden variable theories, namely giving up either locality (more precisely: local contextuality, as in Bohmian mechanics) or free choice (i.e. uncorrelated (...) measurement settings, as in 't Hooft's cellular automaton interpretation of quantum mechanics). The main point is that Bell and others did not exploit the full empirical content of quantum mechanics, which consists of long series of outcomes of repeated measurements (idealized as infinite binary sequences): their arguments only used the long-run relative frequencies derived from such series, and hence merely asked hidden variable theories to reproduce single-case Born probabilities defined by certain entangled bipartite states. If we idealize binary outcome strings of a fair quantum coin flip as infinite sequences, quantum mechanics predicts that these typically (i.e. almost surely) have a property called 1-randomness in logic, which is much stronger than uncomputability. This is the key to my claim, which is admittedly based on a stronger (yet compelling) notion of determinism than what is common in the literature on hidden variable theories. (shrink)

In quantum mechanics, the wave function of a N-body system is a mathematical function defined in a 3N-dimensional configuration space. We argue that wave function realism implies particle ontology when assuming: (1) the wave function of a N-body system describes N physical entities; (2) each triple of the 3N coordinates of a point in configuration space that relates to one physical entity represents a point in ordinary three-dimensional space. Moreover, the motion of particles is random and discontinuous.

Abstract: In the future, it will be possible to create advance simulations of ancestor in computers. Superintelligent AI could make these simulations very similar to the real past by creating a simulation of all of humanity. Such a simulation would use all available data about the past, including internet archives, DNA samples, advanced nanotech-based archeology, human memories, as well as text, photos and videos. This means that currently living people will be recreated in such a simulation, and in some sense, (...) “resurrected”. Such “resurrectional simulation” could be deliberately created just for this goal: to return to life all people who have ever lived. The main technical problem of such simulation will be uncertainty about the past, which increases exponentially for more remote times. Such problem could be partly addressed by “acausal trade” between different branches of the multiverse, which will create slightly different versions of the simulation using a quantum randomness generator. Such trade will result in resurrection of all possible people (including those who existed in other branches). Ethical problems of such a resurrectional simulation include: a) possible resurrection of some people against their will; b) such simulation may create additional suffering; с) such simulation could be used by hostile AI to return people to life and then torture them. In this work, I explore preliminary ideas about how to address these problems. (shrink)

In quantum theory every state can be diagonalized, i.e. decomposed as a convex combination of perfectly distinguishable pure states. This elementary structure plays an ubiquitous role in quantum mechanics, quantum information theory, and quantum statistical mechanics, where it provides the foundation for the notions of majorization and entropy. A natural question then arises: can we reconstruct these notions from purely operational axioms? We address this question in the framework of general probabilistic theories, presenting a set of (...) axioms that guarantee that every state can be diagonalized. The first axiom is Causality, which ensures that the marginal of a bipartite state is well defined. Then, Purity Preservation states that the set of pure transformations is closed under composition. The third axiom is Purification, which allows to assign a pure state to the composition of a system with its environment. Finally, we introduce the axiom of Pure Sharpness, stating that for every system there exists at least one pure effect occurring with unit probability on some state. For theories satisfying our four axioms, we show a constructive algorithm for diagonalizing every given state. The diagonalization result allows us to formulate a majorization criterion that captures the convertibility of states in the operational resource theory of purity, where random reversible transformations are regarded as free operations. (shrink)

The long unbearable sufferings in the past and agonies experienced in some future timelines in which a malevolent AI could torture people for some idiosyncratic reasons (s-risks) is a significant moral problem. Such events either already happened or will happen in causally disconnected regions of the multiverse and thus it seems unlikely that we can do anything about it. However, at least one pure theoretic way to cure past sufferings exists. If we assume that there is no stable substrate of (...) personal identity and thus a copy equals original, then by creating many copies of the next observer-moment of a person in pain in which he stops suffer, we could create indexical uncertainty in her future location and thus effectively steal her consciousness from her initial location and immediately relieve her sufferings. However, to accomplish this for people who have already died, we need to perform this operation for all possible people thus requiring enormous amounts of computations. Such computation could be performed by the future benevolent AI of Galactic scale. Many such AIs could cooperate acausally by distributing parts of the work between them via quantum randomness. To ensure their success, they need to outnumber all possible evil AIs by orders of magnitude, and thus they need to convert most of the available matter into computronium in all universes where they exist and cooperate acausally across the whole multiverse. Another option for curing past suffering is the use of wormhole time-travel to send a nanobot in the past which will, after a period of secret replication, collect the data about people and secretly upload them when their suffering becomes unbearable. (shrink)

It is well-known that the entangled quantum state of a composite object cannot be reduced to the states of its parts. This quantum holism provides a peculiar challenge to formulate an appropriate mereological model: When a system is in an entangled state, which objects are there on the micro and macro level, and which of the objects carries which properties? This paper chooses a modeling approach to answer these questions: It proceeds from a systematic overview of consistent mereological (...) models for entangled systems and discusses which of them is compatible with the quantum mechanical evidence (where quantum states are understood realistically). It reveals that entangled quantum systems neither describe undivided wholes nor objects that stand in irreducible relations. The appropriate model assumes that the entangled property is an irreducible non-relational plural property carried collectively by the micro objects, while there is no macro object. In this sense, quantum holism is an instance of property holism, not of object holism. (shrink)

It has been argued that quantum mechanics forces us to accept the existence of metaphysical, mind-independent indeterminacy. In this paper we provide an interpretation of the indeterminacy involved in the quantum phenomena in terms of a view that we call Plural Metaphysical Supervaluationism. According to it, quantum indeterminacy is captured in terms of an irreducibly plural relation between the actual world and various misrepresentations of it.

We investigate the meaning of the wave function by analyzing the mass and charge density distributions of a quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a description of either a physical field or the ergodic motion of a particle. (...) The essential difference between a field and the ergodic motion of a particle lies in the property of simultaneity; a field exists throughout space simultaneously, whereas the ergodic motion of a particle exists throughout space in a time-divided way. If the wave function is a physical field, then the mass and charge density will be distributed in space simultaneously for a charged quantum system, and thus there will exist gravitational and electrostatic self-interactions of its wave function. This not only violates the superposition principle of quantum mechanics but also contradicts experimental observations. Thus the wave function cannot be a description of a physical field but a description of the ergodic motion of a particle. For the later there is only a localized particle with mass and charge at every instant, and thus there will not exist any self-interaction for the wave function. Which kind of ergodic motion of particles then? It is argued that the classical ergodic models, which assume continuous motion of particles, cannot be consistent with quantum mechanics. Based on the negative result, we suggest that the wave function is a description of the quantum motion of particles, which is random and discontinuous in nature. On this interpretation, the square of the absolute value of the wave function not only gives the probability of the particle being found in certain locations, but also gives the probability of the particle being there. We show that this new interpretation of the wave function provides a natural realistic alternative to the orthodox interpretation, and its implications for other realistic interpretations of quantum mechanics are also briefly discussed. (shrink)

It is not by thinking that we create worlds. It is by understanding the world that we learn to think. Cosmovision is a term that should mean a set of foundations from which emerges a systemic understanding of the Universe, its components as life, the world we live in, nature, human phenomena, and their relationships. It is, therefore, a field of analytical philosophy fed by the sciences, whose objective is this aggregated and epistemologically sustainable knowledge about everything that we are (...) and contain, that surrounds us, and that relates to us in any way. It is something as old as human thought, and, in addition to using elements of scientific cosmology, it encompasses everything in philosophy and science that refers to the universe and life. A cosmovision is not a set of ideas, hypotheses, and assumptions but a system based on observation, analysis, evidence, and demonstration. No cosmovision intends to define, establish, or propose but only to understand, analyse, and interpret. Each of us builds and transports his cosmovision throughout life, without establishing forms, as a background for our thinking and behaviour. Linguistically, the term “cosmovision” would derive from the German, equivalent to the concept of “ Weltanschauung,” as used by several philosophers. However, this linguistic relationship is not applicable because it contradicts what we propose as a cosmovision. This German word refers to a pre-logical or proto- experimental vision of reality, with an intuitive context and far from critical knowledge still non-existent at the time of its formulation. Undoubtedly, cosmovisions, in the sense in which we understand them, house and use these proto-experimental or pre-logical elements that include history, the collective unconscious, and all the archetypes we carry. However, in the concept that we apply here, the cosmovision goes far beyond this content, firstly by constantly submitting it to present critical thinking, and finally by making the analytic experience ( and not the thought itself or intuition) its actual universe. António Lopes expose the breadth of this content: -/- "Cosmovisions are not the product of thought. They do not spring from the simple desire to know. The apprehension of reality is an important moment in its configuration, but, nevertheless, it is only one. It comes from the vital conduct, from the experience of life's evaluation, and from the structure of our psychic totality. The elevation of life to consciousness in the knowledge of reality, in the valuation, and in the volitional reality is the slow and arduous work that humanity has done in the development of the conceptions of life. (W. Dilthey, 1992 [1911]: 120)”(1) -/- In this work, we seek to outline a cosmovision based on the realities that science offers today. We do not propose, at any time, to do science; or theorise philosophy, but we will always seek to be supported by them or, at least, protected by them from the cognitive distortions that we usually carry. ________________________________________________ (1) Lopes , Antonio – “ Weltanschauung (Cosmovision)” (2009 ) in Carlos Ceia's E-Dictionary of Literary Terms. -/- . (shrink)

We show that the physical meaning of the wave function can be derived based on the established parts of quantum mechanics. It turns out that the wave function represents the state of random discontinuous motion of particles, and its modulus square determines the probability density of the particles appearing in certain positions in space.

宇宙观是一个词汇，应该意味着一组基础，从中产生对 宇宙的系统性理解，包括生命、我们所处的世界、自然 界、人类现象及其相互关系。因此，这是一种由科学支 持的分析哲学领域，其目标是对我们周围及与我们相关 的所有事物的综合而认识，并在认识上具有认识论的支 持。它是与人类思维一样古老的存在，并且除了运用科 学宇宙学的元素外，还涵盖了所有涉及宇宙和生命的哲 学和科学。 一个宇宙观并不是一组想法、假设和假定，而是一个基 于观察、分析、证据和论证的系统。没有一个宇宙观会 试图定义、确立或提出，而只是理解、分析和解释。每 个人在一生中构建和承载着自己的宇宙观，作为我们思 维和行为的背景。 从语言学角度来看，术语“宇宙观”来源于德语，相当 于多位哲学家所使用的“Weltanschauung”概念。然 而，这种语言上的关系并不适用，因为它与我们所提出 的宇宙观相悖。这个德语词指的是一种先前逻辑或原始 实验性的现实观，具有直觉性的背景，并且在其形成时 6 还不存在批判性的认识。毫无疑问，在我们理解的意义 上，宇宙观包含并使用了这些原始实验性或先前逻辑的 元素，包括历史、集体无意识和我们所承载的所有原型。 然而，在我们应用的概念中，宇宙观远远超越了这些内 容，首先是因为它不断地将其置于当前的批判性思维之 下，并最终使经验成为其真实的宇宙，而非仅仅是思维 或直觉。 安东尼奥·洛佩斯展示了这一内容的广度：1 “宇宙观并不是思维的产物。它并非源于简单 的求知欲望。对现实的理解是宇宙观形成的重 要时刻，但仅仅是其中之一。它源自生活的行 为，源自对生命的经验，源自我们心灵的整体 结构。将生命提升到意识中，在对现实的认识、 对生命的价值以及意志的现实性中，是人类在 生活观念的发展中所做的缓慢而艰难的工作。 （W. Dilthey, 1992 [1911]: 120）”。 -/- 在这项工作中，我们试图勾勒出一种基于当今科学所提 供的现实的宇宙观。我们在任何时候都不会试图进行科 学研究，或对哲学进行理论化，而始终努力在它们的支 持下，或至少在它们的保护下，免受我们通常所带有的 认知扭曲的影响。 .

This article analyzes the implications of protective measurement for the meaning of the wave function. According to protective measurement, a charged quantum system has mass and charge density proportional to the modulus square of its wave function. It is shown that the mass and charge density is not real but effective, formed by the ergodic motion of a localized particle with the total mass and charge of the system. Moreover, it is argued that the ergodic motion is not continuous (...) but discontinuous and random. This result suggests a new interpretation of the wave function, according to which the wave function is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations. It is shown that the suggested interpretation of the wave function disfavors the de Broglie-Bohm theory and the many-worlds interpretation but favors the dynamical collapse theories, and the random discontinuous motion of particles may provide an appropriate random source to collapse the wave function. (shrink)

Cosmovisione è un termine che dovrebbe significare un insieme di fondamenti da cui emerge una comprensione sistemica dell'Universo, delle sue componenti come la vita, il mondo in cui viviamo, la natura, il fenomeno umano e le sue relazioni. Si tratta, quindi, di un campo della filosofia analitica alimentato dalle scienze, il cui obiettivo è questa conoscenza aggregata ed epistemologicamente sostenibile su tutto ciò che siamo e conteniamo, che ci circonda e che in qualche modo si relaziona con noi. È qualcosa (...) di antico quanto il pensiero umano e, oltre a utilizzare elementi di cosmologia scientifica, racchiude tutto ciò che nella filosofia e nella scienza si riferisce all'universo e alla vita. Una cosmovisione non è un insieme d’idee, ipotesi e presupposti, ma un sistema basato su osservazione, analisi, prove e dimostrazione. Nessuna cosmovisione intende definire, stabilire, proporre, ma solo comprendere, analizzare e interpretare. Ognuno di noi costruisce e porta avanti la propria cosmovisione per tutta la vita, senza stabilire forme, come sfondo per il proprio pensiero e comportamento. Linguisticamente il termine “cosmovisione” deriverebbe dal tedesco, equivalente al concetto di“Weltanschauung”, utilizzato da diversi filosofi. Tuttavia, questa relazione linguistica non è applicabile perché contraddice ciò che proponiamo come cosmovisione. Questa parola tedesca rimanda a una visione prelogica o proto-sperimentale della realtà, con un contesto intuitivo e lontana da una conoscenza critica che non esisteva ancora al momento della sua formulazione. Senza dubbio, le cosmovisioni, nel senso in cui le intendiamo, ospitano e utilizzano questi elementi proto-sperimentali o prelogici che includono la storia, l’inconscio collettivo e tutti gli archetipi che portiamo con noi. Tuttavia, nel concetto che qui applichiamo, la cosmovisione va ben oltre questo contenuto, dapprima sottoponendolo costantemente al pensiero critico attuale e, infine, facendo dell'esperienza analitica (e non del pensiero o dell'intuizione stessa) il suo universo reale. In questo lavoro, cerchiamo di delineare una cosmovisione basata sulle realtà che la scienza offre oggi. Non proponiamo, in nessun momento, di fare scienza; o teorizzare la filosofia, ma cercheremo sempre di essere supportati da loro o, almeno, protetti da loro dalle distorsioni cognitive che abitualmente ci portiamo dietro. (shrink)

Ang Diyos ay hindi naglalaro ng dado", inulit ni Einstein mula sa taas ng kanyang determinismo, ngunit sa katunayan ang kosmos ay naghahagis ng mga buto nito nang sadyang mapagpasya: ang mga dado nito ay laruin. Hindi sa pag-iisip na tayo ay lumikha ng mga mundo. Sa pamamagitan ng pag-unawa sa mundo natututo tayong mag-isip. Ang Cosmovision ay isang termino na dapat ay nangangahulugang isang hanay ng mga pundasyon kung saan lumalabas ang isang sistematikong pag-unawa sa Uniberso, ang mga bahagi (...) nito bilang buhay, ang mundong ating ginagalawan, kalikasan, mga phenomena ng tao, at ang kanilang mga relasyon. Ito ay, samakatuwid, isang larangan ng analytical na pilosopiya na pinapakain ng mga agham, na ang layunin ay ang pinagsama-samang at epistemologically sustainable na kaalaman tungkol sa lahat ng kung ano tayo at nilalaman, na nakapaligid sa atin, at nauugnay sa atin sa anumang paraan. Ito ay isang bagay na kasingtanda ng pag-iisip ng tao, at, bilang karagdagan sa paggamit ng mga elemento ng siyentipikong kosmolohiya, sinasaklaw nito ang lahat ng bagay sa pilosopiya at agham na tumutukoy sa uniberso at buhay. Ang cosmovision ay hindi isang set ng mga ideya, hypotheses, at assumptions kundi isang sistemang batay sa obserbasyon, pagsusuri, ebidensya, at pagpapakita. Walang cosmovision na naglalayong tukuyin, itatag, o imungkahi ngunit para lamang maunawaan, suriin, at bigyang-kahulugan. Bawat isa sa atin ay nagtatayo at naghahatid ng kanyang kosmobisyon sa buong buhay, nang hindi nagtatatag ng mga anyo, bilang isang background para sa ating pag-iisip at pag-uugali. Sa lingguwistika, ang terminong "cosmovision" ay magmumula sa Aleman, katumbas ng konsepto ng "Weltanschauung," na ginamit ng ilang mga pilosopo. Gayunpaman, ang relasyong pangwika na ito ay hindi naaangkop dahil sumasalungat ito sa aming iminumungkahi bilang isang cosmovision. Ang salitang Aleman na ito ay tumutukoy sa isang pre-logical o proto- experimental na pananaw ng realidad, na may intuitive na konteksto at malayo sa kritikal na kaalaman na wala pa rin sa oras ng pagbabalangkas nito. Walang alinlangan, ang mga cosmovision, sa diwa kung saan natin nauunawaan ang mga ito, ay nagtataglay at gumagamit ng mga proto-experimental o pre-logical na elementong ito na kinabibilangan ng kasaysayan, ang sama-samang walang malay, at lahat ng mga archetype na dala natin. Gayunpaman, sa konseptong inilalapat natin dito, ang cosmovision ay higit na lumalampas sa nilalamang ito, una sa pamamagitan ng patuloy na pagsusumite nito upang ipakita ang kritikal na pag-iisip, at sa wakas sa pamamagitan ng paggawa ng analitikong karanasan (at hindi ang kaisipan mismo o intuwisyon) ang aktwal nitong uniberso. Inilantad ni António Lopes ang lawak ng nilalamang ito: "Ang mga cosmovision ay hindi produkto ng pag-iisip. Hindi sila nagmumula sa simpleng pagnanais na malaman. Ang pagkaunawa sa katotohanan ay isang mahalagang sandali sa pagsasaayos nito, ngunit, gayunpaman, ito ay isa lamang. Ito ay nagmumula sa mahahalagang pag-uugali, mula sa karanasan ng pagsusuri sa buhay, at mula sa istruktura ng ating saykiko na kabuuan Ang pagtaas ng buhay sa kamalayan sa kaalaman sa realidad, sa pagpapahalaga, at sa kusang katotohanan ay ang mabagal at mahirap na gawain. na ginawa ng sangkatauhan sa pagbuo ng mga konsepto ng buhay (W. Dilthey, 1992 [1911]: 120). Sa gawaing ito, hinahangad nating balangkasin ang isang kosmobisyon batay sa mga realidad na inaalok natin ngayon hindi nagmumungkahi, sa anumang oras, na gumawa ng agham; o magteorya ng pilosopiya, ngunit lagi nating hahanapin na suportahan sila o, hindi bababa sa, protektahan nila mula sa mga pang-unawang distorsyon na karaniwan nating dala. (shrink)

There are arguments for determinism. Admittedly, this is opposed by the fact of everyday experience of autonomy. In the following, it is argued for the compatibility of determinism and autonomy. Taking up considerations of Donald MacKay, a fatalistic attitude can be refuted as false. Repeatedly, attempts have been made to defend the possibility of autonomy with reference to quantum physical indeterminacy. But its statistical randomness clearly misses the meaning of autonomy. What is decisive, on the other hand, is (...) the possibility of knowledge, which opens up opportunities for planning, freedom of choice and ultimately 'self-choice'. Results of neurobiological research, especially Benjamin Libet's and more recently John-Dylan Haynes', seem to refute this: Actions are unconsciously initiated before conscious decision. But, as Libet has also shown, consciousness always has the possibility of a veto – and thus also of knowledge-driven action control. Ultimately, the idea of possible self-choice can thus become the determining condition. Only such a form of rational self-determination establishes a spiritual identity and at the same time represents the maximum of autonomy possible for human beings. (shrink)

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

We investigate the implications of protective measurement for de Broglie-Bohm theory, mainly focusing on the interpretation of the wave function. It has been argued that the de Broglie-Bohm theory gives the same predictions as quantum mechanics by means of quantum equilibrium hypothesis. However, this equivalence is based on the premise that the wave function, regarded as a Ψ-field, has no mass and charge density distributions. But this premise turns out to be wrong according to protective measurement; a charged (...) quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. Then in the de Broglie-Bohm theory both Ψ-field and Bohmian particle will have charge density distribution for a charged quantum system. This will result in the existence of an electrostatic self-interaction of the field and an electromagnetic interaction between the field and Bohmian particle, which not only violates the superposition principle of quantum mechanics but also contradicts experimental observations. Therefore, the de Broglie-Bohm theory as a realistic interpretation of quantum mechanics is problematic according to protective measurement. Lastly, we briefly discuss the possibility that the wave function is not a physical field but a description of some sort of ergodic motion (e.g. random discontinuous motion) of particles. (shrink)

Космовидение - термин, под которым следует понимать совокупность оснований, из которых возникает системное понимание Вселенной, таких ее составляющих, как жизнь, мир, в котором мы живем, природа, феномен человека, и их взаимосвязей. таким образом, это область аналитической философии, питаемая науками, целью которой является совокупное и эпистемологически устойчивое знание обо всем, чем мы являемся и что в нас содержится, что нас окружает и что так или иначе с нами связано. это старое, как человеческая мысль, понятие, которое не только использует элементы научной космологии, (...) но и охватывает все, что относится к вселенной и жизни в философии и науке. Космовидение — это не набор идей, гипотез и предположений, а система, основанная на наблюдениях, анализе, доказательствах и демонстрациях. Космовидение не ставит своей целью определить, установить или предложить, а лишь понять, проанализировать и интерпретировать. Каждый из нас строит и переносит свое космовидение в течение жизни, не устанавливая форм, как фон для нашего мышления и поведения. С лингвистической точки зрения термин "космовидение" происходит от немецкого, эквивалентного понятию "Weltanschauung", используемому рядом философов. Однако эта лингвистическая связь неприменима, поскольку противоречит тому, что мы предлагаем в качестве космовидения. Это немецкое слово обозначает дологическое или протоэкспериментальное видение реальности, имеющее интуитивный контекст и далекое от критического знания, еще не существовавшего на момент его формулировки. Несомненно, космовидения в том смысле, как мы их понимаем, содержат и используют эти протоэкспериментальные или дологические элементы, включающие историю, коллективное бессознательное и все архетипы, которые мы носим в себе. Однако в той концепции, которую мы здесь применяем, космовидение выходит далеко за пределы этого содержания, во-первых, постоянно подчиняя его современному критическому мышлению и, наконец, делая аналитический опыт (а не саму мысль или интуицию) своей актуальной вселенной. Антониу Лопес раскрывает широту этого содержания: -/- "Космовидения не являются продуктом мысли. Они не возникают из простого желания знать. Постижение реальности - важный момент в ее конфигурации, но, тем не менее, только один. Оно исходит из жизненного поведения, из жизненного опыта, из структуры нашей психической совокупности. Возвышение жизни до сознания в познании реальности, в оценке жизни и в волевой реальности — это медленная и тяжелая работа, которую проделало человечество в развитии представлений о жизни". (В. Дильтей, 1992 [1911]: 120)". . В данной работе мы стремимся изложить космовидение, основанное на тех реалиях, которые сегодня предлагает наука. Мы ни в коем случае не собираемся заниматься наукой или теоретизировать философию, но всегда будем стремиться опираться на них или, по крайней мере, защищаться ими от тех когнитивных искажений, которые мы обычно несем. (shrink)

The CMI Millennium “P vs NP Problem” can be resolved e.g. if one shows at least one counterexample to the "P = NP" conjecture. A certain class of problems being such counterexamples will be formulated. This implies the rejection of the hypothesis that "P = NP" for any conditions satisfying the formulation of the problem. Thus, the solution "P is different from NP" of the problem in general is proved. The class of counterexamples can be interpreted as any quantum (...) superposition of any finite set of quantum states. The Kochen-Specker theorem is involved. Any fundamentally random choice among a finite set of alternatives belong to "NP" but not to "P". The conjecture that the set complement of "P" to "NP" can be described by that kind of choice exhaustively is formulated. (shrink)

Wigner's quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the compactness properties of the resulting phase spaces at fixed energy, and show that in order for a classical massless particle to be physically sensible, its phase space must feature a classical-particle counterpart of electromagnetic gauge invariance. By examining the connection between massless and massive particles in the massless limit, we also derive (...) a classical-particle version of the Higgs mechanism. (shrink)

Entanglement is one of the most striking features of quantum mechanics, and yet it is not specifically quantum. More specific to quantum mechanics is the connection between entanglement and thermodynamics, which leads to an identification between entropies and measures of pure state entanglement. Here we search for the roots of this connection, investigating the relation between entanglement and thermodynamics in the framework of general probabilistic theories. We first address the question whether an entangled state can be transformed (...) into another by means of local operations and classical communication. Under two operational requirements, we prove a general version of the Lo-Popescu theorem, which lies at the foundations of the theory of pure-state entanglement. We then consider a resource theory of purity where free operations are random reversible transformations, modelling the scenario where an agent has limited control over the dynamics of a closed system. Our key result is a duality between the resource theory of entanglement and the resource theory of purity, valid for every physical theory where all processes arise from pure states and reversible interactions at the fundamental level. As an application of the main result, we establish a one-to-one correspondence between entropies and measures of pure bipartite entanglement and exploit it to define entanglement measures in the general probabilistic framework. In addition, we show a duality between the task of information erasure and the task of entanglement generation, whereby the existence of entropy sinks (systems that can absorb arbitrary amounts of information) becomes equivalent to the existence of entanglement sources (correlated systems from which arbitrary amounts of entanglement can be extracted). (shrink)