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  1. Fermat’s last theorem proved in Hilbert arithmetic. II. Its proof in Hilbert arithmetic by the Kochen-Specker theorem with or without induction.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (10):1-52.
    The paper is a continuation of another paper published as Part I. Now, the case of “n=3” is inferred as a corollary from the Kochen and Specker theorem (1967): the eventual solutions of Fermat’s equation for “n=3” would correspond to an admissible disjunctive division of qubit into two absolutely independent parts therefore versus the contextuality of any qubit, implied by the Kochen – Specker theorem. Incommensurability (implied by the absence of hidden variables) is considered as dual to quantum contextuality. The (...)
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  • Androids, Oracles and Free Will.Maria Sekatskaya - 2021 - Kriterion – Journal of Philosophy 35 (4):359-378.
    Claims about freedom and predestination are ubiquitous in movies, novels, and myths. These claims touch upon the philosophical problem of the compatibility of free will and determination. In order to make an informed judgment about whether these claims are true, it is helpful to know what philosophers have to say about free will. However, philosophical discussions are usually absent in popular culture. It is perhaps no wonder, since free will is a topic that has been discussed for millennia. Consequently, these (...)
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  • The Entanglement of the Social Realm: Towards a Quantum Theory Inspired Ontology for the Social Sciences.Luk Van Langenhove - 2020 - Foundations of Science 26 (1):55-73.
    This paper presents the outline of an ontology of the social realm that aims to provide a new perspective to the study of social phenomena. It will be argued that in order to raise the impact of the social sciences, research should start from a new ontological discursive perspective. This implies that rather than dividing the social and psychological realm into different “disciplines”, the social and the psychological realm need to be imagined as two sides of the same coin. And (...)
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  • Quantum gravity, timelessness, and the folk concept of time.Andrew J. Latham & Kristie Miller - 2020 - Synthese 198 (10):9453-9478.
    What it would take to vindicate folk temporal error theory? This question is significant against a backdrop of new views in quantum gravity—so-called timeless physical theories—that claim to eliminate time by eliminating a one-dimensional substructure of ordered temporal instants. Ought we to conclude that if these views are correct, nothing satisfies the folk concept of time and hence that folk temporal error theory is true? In light of evidence we gathered, we argue that physical theories that entirely eliminate an ordered (...)
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  • The Third Construct of the Universe: Information.C. Barreiro, Jose M. Barreiro, J. A. Lara, D. Lizcano, M. A. Martínez & J. Pazos - 2020 - Foundations of Science 25 (2):425-440.
    Very few scientists today question the fact that information, together with matter and energy, is one of the three constructs forming the ontology of the universe. However, there is still a long way to go before in order to establish the interrelations between information and energy and information and matter, as Einstein did between matter and energy. In this paper, after introducing the energy, matter, information model, which covers the three constructs and their relationships, we illustrate real examples—two qualitative and (...)
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  • Temporal Fictionalism for a Timeless World.Sam Baron, Kristie Miller & Jonathan Tallant - 2019 - Philosophy and Phenomenological Research 102 (2):281-301.
    Current debate in the metaphysics of time ordinarily assumes that we should be realists about time. Recently, however, a number of physicists and philosophers of physics have proposed that time will play no role in a completed theory of quantum gravity. This paper defends fictionalism about temporal thought, on the supposition that our world is timeless. We argue that, in the face of timeless physical theories, realism about temporal thought is unsustainable: some kind of anti-realism must be adopted. We go (...)
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  • Experiencing Multiple Realities: Alfred Schutz’s Sociology of the Finite Provinces of Meaning.Marius Ion Benta - 2018 - London, UK: Routledge.
    This book offers a theoretical investigation into the general problem of reality as a multiplicity of ‘finite provinces of meaning’, as developed in the work of Alfred Schutz. A critical introduction to Schutz’s sociology of multiple realities as well as a sympathetic re-reading and reconstruction of his project, Experiencing Multiple Realities traces the genesis and implications of this concept in Schutz’s writings before presenting an analysis of various ways in which it can shed light on major sociological problems, such as (...)
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  • Quantum gravity, timelessness, and the contents of thought.David Braddon-Mitchell & Kristie Miller - 2019 - Philosophical Studies 176 (7):1807-1829.
    A number of recent theories of quantum gravity lack a one-dimensional structure of ordered temporal instants. Instead, according to many of these views, our world is either best represented as a single three-dimensional object, or as a configuration space composed of such three-dimensional objects, none of which bear temporal relations to one another. Such theories will be empirically self-refuting unless they can accommodate the existence of conscious beings capable of representation. For if representation itself is impossible in a timeless world, (...)
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  • An error in temporal error theory.Jonathan Tallant - 2018 - Journal of the American Philosophical Association 4 (1):14-32.
    Within the philosophy of time there has been a growing interest in positions that deny the reality of time. Those positions, whether motivated by arguments from physics or metaphysics, have a shared conclusion: time is not real. What has not been made wholly clear, however, is exactly what it entails to deny the reality of time. Time is unreal, sure. But what does that mean? There has been only one sustained attempt to spell out exactly what it would mean to (...)
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  • Mathematical Knowledge and Naturalism.Fabio Sterpetti - 2019 - Philosophia 47 (1):225-247.
    How should one conceive of the method of mathematics, if one takes a naturalist stance? Mathematical knowledge is regarded as the paradigm of certain knowledge, since mathematics is based on the axiomatic method. Natural science is deeply mathematized, and science is crucial for any naturalist perspective. But mathematics seems to provide a counterexample both to methodological and ontological naturalism. To face this problem, some naturalists try to naturalize mathematics relying on Darwinism. But several difficulties arise when one tries to naturalize (...)
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  • Quantum Deep Learning Triuniverse.Angus McCoss - 2016 - Journal of Quantum Information Science 6 (4).
    An original quantum foundations concept of a deep learning computational Universe is introduced. The fundamental information of the Universe (or Triuniverse)is postulated to evolve about itself in a Red, Green and Blue (RGB) tricoloured stable self-mutuality in three information processing loops. The colour is a non-optical information label. The information processing loops form a feedback-reinforced deep learning macrocycle with trefoil knot topology. Fundamental information processing is driven by ψ-Epistemic Drive, the Natural appetite for information selected for advantageous knowledge. From its (...)
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  • Quantum Mechanics as Quantum Information, Mostly.Christopher A. Fuchs - 2003 - Journal of Modern Optics 50:987-1023.
    In this paper, I try to cause some good-natured trouble. The issue is, when will we ever stop burdening the taxpayer with conferences devoted to the quantum foundations? The suspicion is expressed that no end will be in sight until a means is found to reduce quantum theory to two or three statements of crisp physical (rather than abstract, axiomatic) significance. In this regard, no tool appears better calibrated for a direct assault than quantum information theory. Far from a strained (...)
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  • Computing as a Science: A Survey of Competing Viewpoints. [REVIEW]Matti Tedre - 2011 - Minds and Machines 21 (3):361-387.
    Since the birth of computing as an academic discipline, the disciplinary identity of computing has been debated fiercely. The most heated question has concerned the scientific status of computing. Some consider computing to be a natural science and some consider it to be an experimental science. Others argue that computing is bad science, whereas some say that computing is not a science at all. This survey article presents viewpoints for and against computing as a science. Those viewpoints are analyzed against (...)
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  • A Taxonomy of Views about Time in Buddhist and Western Philosophy.Kristie Miller - 2017 - Philosophy East and West 67 (3):763-782.
    We find the claim that time is not real in both western and eastern philosophical traditions. In what follows I will call the view that time does not exist temporal error theory. Temporal error theory was made famous in western analytic philosophy in the early 1900s by John McTaggart (1908) and, in much the same tradition, temporal error theory was subsequently defended by Gödel (1949). The idea that time is not real, however, stretches back much further than that. It is (...)
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  • Ecstatic Language of Early Daoism: A Sufi Point of View.Esmaeil Radpour - 2015 - Transcendent Philosophy Journal 16:213-230.
    Various esoteric traditions apply different modes of expression for the same metaphysical truths. We may name the two most known esoteric languages as ecstatic and scholastic. Early Daoist use of reverse symbolism as for metaphysical truths and its critical way of viewing formalist understanding of traditional teachings, common virtues and popular beliefs show that it applies an ecstatic language, which, being called shaṭḥ in Sufi terminology, has a detailed literature and technical description in Sufism. This article tries, after a short (...)
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  • What is temporal error theory?Samuel Baron & Kristie Miller - 2015 - Philosophical Studies 172 (9):2427-2444.
    Much current debate in the metaphysics of time is between A-theorists and B-theorists. Central to this debate is the assumption that time exists and that the task of metaphysics is to catalogue time’s features. Relatively little consideration has been given to an error theory about time. Since there is very little extant work on temporal error theory the goal of this paper is simply to lay the groundwork to allow future discussion of the relative merits of such a view. The (...)
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  • Effective Physical Processes and Active Information in Quantum Computing.Ignazio Licata - 2007 - Quantum Biosystems 1 (1):51-65.
    The recent debate on hypercomputation has raised new questions both on the computational abilities of quantum systems and the Church-Turing Thesis role in Physics.We propose here the idea of “effective physical process” as the essentially physical notion of computation. By using the Bohm and Hiley active information concept we analyze the differences between the standard form (quantum gates) and the non-standard one (adiabatic and morphogenetic) of Quantum Computing, and we point out how its Super-Turing potentialities derive from an incomputable information (...)
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  • Constructor theory.David Deutsch - 2013 - Synthese 190 (18):4331-4359.
    Constructor theory seeks to express all fundamental scientific theories in terms of a dichotomy between possible and impossible physical transformations–those that can be caused to happen and those that cannot. This is a departure from the prevailing conception of fundamental physics which is to predict what will happen from initial conditions and laws of motion. Several converging motivations for expecting constructor theory to be a fundamental branch of physics are discussed. Some principles of the theory are suggested and its potential (...)
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  • (1 other version)What Is Nature-Like Computation? A Behavioural Approach and a Notion of Programmability.Hector Zenil - 2013 - Philosophy and Technology (3):1-23.
    The aim of this paper is to propose an alternative behavioural definition of computation (and of a computer) based simply on whether a system is capable of reacting to the environment—the input—as reflected in a measure of programmability. This definition is intended to have relevance beyond the realm of digital computers, particularly vis-à-vis natural systems. This will be done by using an extension of a phase transition coefficient previously defined in an attempt to characterise the dynamical behaviour of cellular automata (...)
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  • Empirical Encounters with Computational Irreducibility and Unpredictability.Hector Zenil, Fernando Soler-Toscano & Joost J. Joosten - 2012 - Minds and Machines 22 (3):149-165.
    The paper presents an exploration of conceptual issues that have arisen in the course of investigating speed-up and slowdown phenomena in small Turing machines, in particular results of a test that may spur experimental approaches to the notion of computational irreducibility. The test involves a systematic attempt to outrun the computation of a large number of small Turing machines (3 and 4 state, 2 symbol) by means of integer sequence prediction using a specialized function for that purpose. The experiment prompts (...)
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  • Interactive destiny.Andrew Soltau - manuscript
    Mitra demonstrates that memory erasure can cause the observer to end up in a different sector of the multiverse with a different destiny, events in the future remote to any possible influence of the observer having radically different probabilities. The concept only applies to an observer defined by a structure of information, so cannot apply to the physical bodies of human observers. However, Everett defines the functional identity of the observer as the contents of the memory, a structure of information, (...)
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  • Transtemporal phenomenal consciousness.Andrew Soltau - manuscript
    Objectively, time does not pass, physics reveals no such phenomenon. While subjectively we find ourselves at a specific point in time, 'now', and we appear to pass from moment to moment, physics can accommodate neither of these concepts, thus there is no explanation of subjective transtemporal reality, or how an observation could possibly be made. A solution to the puzzle is proposed based on an analysis of the logical type of the system required to explain such subjective experience. Relativity requires (...)
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  • (1 other version)The World Hologram: The Holographic Universe is Everett's Relative State - The Measurement Problem is a Category Error of Logical Type.Andrew Soltau - manuscript
    The key to the measurement problem is the entity at the heart of Everett's formulation, the state of the memory, defined as the record of observations. In humans, the integrated synthesis defines the perceptual reality, a projective, three-dimensional representation of the world. This 'world hologram' is the conscious point of view, the mind in Lockwood's interpretation, the 'phenomenal perspective'. As Everett demonstrates, the collapse dynamics operates only judged by the state of the memory; the physical observer remains in a superposed (...)
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  • The Argument from Locality for Many Worlds Quantum Mechanics.Alyssa Ney - forthcoming - Journal of Philosophy.
    One motivation for preferring the many worlds interpretation of quantum mechanics over realist rivals, such as collapse and hidden variables theories, is that the interpretation is able to preserve locality (in the sense of no action at a distance) in a way these other theories cannot. The primary goal of this paper is to make this argument for the many worlds interpretation precise, in a way that does not rely on controversial assumptions about the metaphysics of many worlds.
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  • Information-Theoretic Interpretation of Quantum Formalism.Michel Feldmann - 2023 - Foundations of Physics 53 (3):1-59.
    We present an information-theoretic interpretation of quantum formalism based on a Bayesian framework and devoid of any extra axiom or principle. Quantum information is construed as a technique for analyzing a logical system subject to classical constraints, based on a question-and-answer procedure. The problem is posed from a particular batch of queries while the constraints are represented by the truth table of a set of Boolean functions. The Bayesian inference technique consists in assigning a probability distribution within a real-valued probability (...)
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  • Statische Zeit, ein lokalisiertes Universum und eine kosmologische Unsicherheitsregel.Jef Zerrudo - manuscript
    Dieses Papier bietet eine Lösung für das Zeitproblem, indem vorgeschlagen wird, dass, wenn das Universum zeitähnlich, stationär und begrenzt ist, es in statische zeitliche Abstufungen oder Konturen unterteilt werden kann. Dies führte zur Formulierung einer Energie-Diffusions-Fluss (EDF) Gleichung, aus der die Planck- und Hubble-Zeiten abgeleitet wurden. Es wurde festgestellt, dass die Zeit nach Anwendung von Gaussschem Gesetz auf EDF unwichtig wird, wenn man nach der charakteristischen Länge des Universums א sucht. Zusätzlich wurde eine Unsicherheitsregel entdeckt, die unser gleichzeitiges Wissen über (...)
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  • Static Time, a Localized Universe, and a Cosmological Uncertainty Rule.Jef Zerrudo - manuscript
    This paper offers a solution to the problem of time by proposing that if the universe is time-like, stationary, and bounded, then it can be divided into static temporal gradations or contours. This led to the establishment of an energy diffusion flux (EDF) equation from which the Planck and Hubble times were derived. It was found that time becomes unimportant after applying Gauss's Law on EDF when searching for the characteristic length of the universe א. Additionally, an uncertainty rule that (...)
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  • Everett’s pure wave mechanics and the notion of worlds.Jeffrey A. Barrett - 2011 - European Journal for Philosophy of Science 1 (2):277-302.
    Everett (1957a, b, 1973) relative-state formulation of quantum mechanics has often been taken to involve a metaphysical commitment to the existence of many splitting worlds each containing physical copies of observers and the objects they observe. While there was earlier talk of splitting worlds in connection with Everett, this is largely due to DeWitt’s (Phys Today 23:30–35, 1970) popular presentation of the theory. While the thought of splitting worlds or parallel universes has captured the popular imagination, Everett himself favored the (...)
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  • Static Time, a Cosmological Uncertainty Rule, and a Quest for a Beginningless Kalam Cosmological Argument.Jef Zerrudo - manuscript
    A simple solution to the problem of time is proposed by postulating that if the Universe is time-like, stationary, and bounded then it could be divided into static temporal gradations or contours. Hence, an energy diffusion flux (EDF) equation was established from which the Planck and the Hubble times have been derived. It is then found that time is unimportant after applying Gauss's Law on EDF when looking for a characteristic length of the Universe א. An uncertainty rule was also (...)
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  • Pierre Teilhard de Chardin: a visionary in controversy.Clément Vidal - 2021 - History and Philosophy of the Life Sciences 43 (4):1-10.
    Teilhard de Chardin developed an evolutionary vision of our planetary future, currently developing from a sphere of life, or biosphere towards a sphere of mind, or noosphere. As a visionary, Teilhard was not only on the brink of formulating the internet, but he also anticipated current academic efforts to understand globalization, as well as human, cultural and technological evolution. However, his ideas are sources of enduring controversies in both scientific and theological circles. Here I uncover some of the core reasons (...)
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  • Towards a Coherent Theory of Physics and Mathematics: The Theory–Experiment Connection.Paul Benioff - 2005 - Foundations of Physics 35 (11):1825-1856.
    The problem of how mathematics and physics are related at a foundational level is of interest. The approach taken here is to work towards a coherent theory of physics and mathematics together by examining the theory experiment connection. The role of an implied theory hierarchy and use of computers in comparing theory and experiment is described. The main idea of the paper is to tighten the theory experiment connection by bringing physical theories, as mathematical structures over C, the complex numbers, (...)
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  • Causation in a timeless world?Jonathan Tallant - 2019 - Inquiry: An Interdisciplinary Journal of Philosophy 62 (3):309-325.
    This paper is an attempt to answer the question, ‘could there be causation in a timeless world?’ My conclusion: tentatively, yes. The paper and argument have three parts. Part one introduces salient issues and spells out the importance of this line of investigation. Section two of the paper reviews recent arguments due to Baron and Miller, who argue in favour of the possibility of causation in a timeless world, and looks to reject their arguments developed there. Section three is a (...)
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  • Time-Symmetrized Counterfactuals in Quantum Theory.Lev Vaidman - 1999 - Foundations of Physics 29 (5):755-765.
    Counterfactuals in quantum theory are briefly reviewed and it is argued that they are very different from counterfactuals considered in the general philosophical literature. The issue of time symmetry of quantum counterfactuals is considered and a novel time-symmetric definition of quantum counterfactuals is proposed. This definition is applied for analyzing several controversies related to quantum counterfactuals.
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  • Fungibility in Quantum Sets.Kenji Tokuo - 2019 - Axiomathes 29 (3):297-310.
    It can be intuitively understood that sets and their elements in mathematics reflect the atomistic way of thinking in physics: Sets correspond to physical properties, and their elements correspond to particles that have these properties. At the same time, quantum statistics and quantum field theory strongly support the view that quantum particles are not individuals. Some of the problems faced in modern physics may be caused by such discrepancy between set theory and physical theory. The question then arises: Is it (...)
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  • Causation in a timeless world.Sam Baron & Kristie Miller - 2014 - Synthese 191 (12):2867-2886.
    This paper offers a new way to evaluate counterfactual conditionals on the supposition that actually, there is no time. We then parlay this method of evaluation into a way of evaluating causal claims. Our primary aim is to preserve, at a minimum, the assertibility of certain counterfactual and causal claims once time has been excised from reality. This is an important first step in a more general reconstruction project that has two important components. First, recovering our ordinary language claims involving (...)
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  • Quantum nonlocality and the challenge to scientific realism.Christopher Norris - 2000 - Foundations of Science 5 (1):3-45.
    In this essay I examine various aspects of the nearcentury-long debate concerning the conceptualfoundations of quantum mechanics and the problems ithas posed for physicists and philosophers fromEinstein to the present. Most crucial here is theissue of realism and the question whether quantumtheory is compatible with any kind of realist orcausal-explanatory account which goes beyond theempirical-predictive data. This was Einstein's chiefconcern in the famous series of exchanges with NielsBohr when he refused to accept the truth orcompleteness of a doctrine (orthodox QM) (...)
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  • Reconstruction and Reinvention in Quantum Theory.Michael Dickson - 2015 - Foundations of Physics 45 (10):1330-1340.
    I consider the fact that there are a number of interesting ways to ‘reconstruct’ quantum theory, and suggest that, very broadly speaking, a form of ‘instrumentalism’ makes good sense of the situation. This view runs against some common wisdom, which dismisses instrumentalism as ‘cheap’. In contrast, I consider how an instrumentalist might think about the reconstruction theorems, and, having made a distinction between ‘reconstructing’ quantum theory and ‘reinventing’ quantum theory, I suggest that there is an adequate instrumentalist approach to the (...)
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  • The potential impact of quantum computers on society.Ronald de Wolf - 2017 - Ethics and Information Technology 19 (4):271-276.
    This paper considers the potential impact that the nascent technology of quantum computing may have on society. It focuses on three areas: cryptography, optimization, and simulation of quantum systems. We will also discuss some ethical aspects of these developments, and ways to mitigate the risks.
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  • A Comparison Between Models of Gravity Induced Decoherence.Sayantani Bera, Sandro Donadi, Kinjalk Lochan & Tejinder P. Singh - 2015 - Foundations of Physics 45 (12):1537-1560.
    It has been suggested in the literature that spatial coherence of the wave function can be dynamically suppressed by fluctuations in the spacetime geometry. These fluctuations represent the minimal uncertainty that is present when one probes spacetime geometry with a quantum probe. Two similar models have been proposed, one by Diósi and one by Karolyhazy and collaborators, based on apparently unrelated minimal spacetime bounds. The two models arrive at somewhat different expressions for the dependence of the localization coherence length on (...)
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