Results for 'Zeropoint energy'

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  1.  9
    Zero-Point Energy: The Case of the Leiden Low-Temperature Laboratory of Heike Kamerlingh Onnes.Zero-Point Energy & Dirk van Delft - 2008 - Annals of Science 65 (3):339-361.
    Summary In this paper we examine the reaction of the Leiden low-temperature laboratory of Heike Kamerlingh Onnes to new ideas in quantum theory. Especially the contributions of Albert Einstein (1906) and Peter Debye (1912) to the theory of specific heat, and the concept of zero-point energy formulated by Max Planck in 1911, gave a boost to solid state research to test these theories. In the case of specific heat measurements, Kamerlingh Onnes's laboratory faced stiff competition from Walter Nernst's Institute (...)
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  2. Hibbert~ journal.Iii Atomic Energy & Lp Jacks - 1946 - Hibbert Journal: A Quarterly Review of Religion, Theology, and Philosophy 44:1.
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  3.  62
    Complex Vector Formalism of Harmonic Oscillator in Geometric Algebra: Particle Mass, Spin and Dynamics in Complex Vector Space.K. Muralidhar - 2014 - Foundations of Physics 44 (3):266-295.
    Elementary particles are considered as local oscillators under the influence of zeropoint fields. Such oscillatory behavior of the particles leads to the deviations in their path of motion. The oscillations of the particle in general may be considered as complex rotations in complex vector space. The local particle harmonic oscillator is analyzed in the complex vector formalism considering the algebra of complex vectors. The particle spin is viewed as zeropoint angular momentum represented by a bivector. It has been (...)
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  4. List of Contents: Volume 12, Number 3, June 1999.Jose L. SaÂnchez-GoÂmez, Jesus Unturbe, Ciprian Dariescu, Marina-Aura Dariescu, Rotationally Symmetric, Fabio Cardone, Mauro Francaviglia, Roberto Mignani, Energy-Dependent Phenomenological Metrics & Five-Dimensional Einstein - 1999 - Foundations of Physics 29 (10).
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  5.  38
    Maxwell electromagnetic theory, Planck's radiation law, and Bose—Einstein statistics.H. M. FranÇa, A. Maia & C. P. Malta - 1996 - Foundations of Physics 26 (8):1055-1068.
    We give an example in which it is possible to understand quantum statistics using classical concepts. This is done by studying the interaction of chargedmatter oscillators with the thermal and zeropoint electromagnetic fields characteristic of quantum electrodynamics and classical stochastic electrodynamics. Planck's formula for the spectral distribution and the elements of energy hw are interpreted without resorting to discontinuities. We also show the aspects in which our model calculation complement other derivations of blackbody radiation spectrum without quantum assumptions.
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  6.  20
    Theory of Stochastic Schrödinger Equation in Complex Vector Space.Kundeti Muralidhar - 2017 - Foundations of Physics 47 (4):532-552.
    A generalized Schrödinger equation containing correction terms to classical kinetic energy, has been derived in the complex vector space by considering an extended particle structure in stochastic electrodynamics with spin. The correction terms are obtained by considering the internal complex structure of the particle which is a consequence of stochastic average of particle oscillations in the zeropoint field. Hence, the generalised Schrödinger equation may be called stochastic Schrödinger equation. It is found that the second order correction terms are (...)
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  7. Vacuum Radiation, Entropy, and Molecular Chaos.Jean E. Burns - 2007 - Foundations of Physics 37 (12):1727-1737.
    Vacuum radiation causes a particle to make a random walk about its dynamical trajectory. In this random walk the root mean square change in spatial coordinate is proportional to t 1/2, and the fractional changes in momentum and energy are proportional to t −1/2, where t is time. Thus the exchange of energy and momentum between a particle and the vacuum tends to zero over time. At the end of a mean free path the fractional change in momentum (...)
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  8.  10
    Zeropoint waves and quantum particles.A. M. Cetto & L. de la Pena - 1995 - In M. Ferrero & A. van der Merwe (eds.), Fundamental Problems in Quantum Physics. pp. 47.
  9. Energy Efficiency Prediction using Artificial Neural Network.Ahmed J. Khalil, Alaa M. Barhoom, Bassem S. Abu-Nasser, Musleh M. Musleh & Samy S. Abu-Naser - 2019 - International Journal of Academic Pedagogical Research (IJAPR) 3 (9):1-7.
    Buildings energy consumption is growing gradually and put away around 40% of total energy use. Predicting heating and cooling loads of a building in the initial phase of the design to find out optimal solutions amongst different designs is very important, as ell as in the operating phase after the building has been finished for efficient energy. In this study, an artificial neural network model was designed and developed for predicting heating and cooling loads of a building (...)
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  10.  6
    Energy Dreams: Of Actuality.Michael Marder - 2017 - Columbia University Press.
    The question of energy is among the most vital for the future of humanity and the flourishing of life on this planet. Yet, only very rarely (if at all) do we ask what energy is, what it means, what ends it serves, and how it is related to actuality, meaning-making, and instrumentality. Energy Dreams interrogates the ontology of energy from the first coinage of the word energeia by Aristotle to the current practice of fracking and the (...)
  11.  8
    L'énergie spirituelle.Henri Bergson - 2017 - F. Alcan.
    "A mesure que végétaux et animaux se différenciaient, la vie se scindait en deux règnes, séparant ainsi l'une de l'autre les deux fonctions primitivement réunies. Ici elle se préoccupait davantage de fabriquer l'explosif, là de le faire détoner. Mais, qu'on l'envisage au début ou au terme de son évolution, toujours la vie dans son ensemble est un double travail d'accumulation graduelle et de dépense brusque : il s'agit pour elle d'obtenir que la matière, par une opération lente et difficile, emmagasine (...)
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  12.  76
    A Primer on Energy Conditions.Erik Curiel - 2016 - In Dennis Lehmkuhl, Gregor Schiemann & Erhard Scholz (eds.), Towards a Theory of Spacetime Theories. New York, NY: Birkhauser. pp. 43-104.
    An energy condition, in the context of a wide class of spacetime theories, is, crudely speaking, a relation one demands the stress-energy tensor of matter satisfy in order to try to capture the idea that "energy should be positive". The remarkable fact I will discuss in this paper is that such simple, general, almost trivial seeming propositions have profound and far-reaching import for our understanding of the structure of relativistic spacetimes. It is therefore especially surprising when one (...)
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  13.  6
    L'énergie d'Aristote à Einstein: Un éternel recommencement.Bertrand Souchard - 2018 - EDP Sciences.
    Si le terme d’énergie est central dans la science physique contemporaine, il est difficile à définir et à enseigner. Pour essayer d’en comprendre le sens, il faut d’abord voir l’écart entre la mécanique classique de Descartes, Galilée ou Newton qui utilisent le mot de force et la thermodynamique qui introduit le terme d’énergie dans la science. Alors que la force est l’action d’un corps à travers un espace vide, l’énergie exprime le bilan d’un système où nous trouvons conservation et transformation (...)
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  14. Free-Energy and the Brain.Karl J. Friston & Klaas E. Stephan - 2007 - Synthese 159 (3):417 - 458.
    If one formulates Helmholtz's ideas about perception in terms of modern-day theories one arrives at a model of perceptual inference and learning that can explain a remarkable range of neurobiological facts. Using constructs from statistical physics it can be shown that the problems of inferring what cause our sensory inputs and learning causal regularities in the sensorium can be resolved using exactly the same principles. Furthermore, inference and learning can proceed in a biologically plausible fashion. The ensuing scheme rests on (...)
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  15. Free energy: a user’s guide.Stephen Francis Mann, Ross Pain & Michael D. Kirchhoff - 2022 - Biology and Philosophy 37 (4):1-35.
    Over the last fifteen years, an ambitious explanatory framework has been proposed to unify explanations across biology and cognitive science. Active inference, whose most famous tenet is the free energy principle, has inspired excitement and confusion in equal measure. Here, we lay the ground for proper critical analysis of active inference, in three ways. First, we give simplified versions of its core mathematical models. Second, we outline the historical development of active inference and its relationship to other theoretical approaches. (...)
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  16.  7
    Energie!: Kräftespiele in den Künsten.Katrin Eggers & Arne Stollberg (eds.) - 2021 - Würzburg: Königshausen & Neumann.
    From the contents:0K. Eggers / A. Stollberg: Vorwort? Antike und Mittelalter? M. Nanni: Musikalische Energeia? 17. bis 19. Jahrhundert? I. Mai Groote:?ut energiam habeat Musica?: Vorstellungen vom Zusammenwirken von Text, Rhythmus und Musik im 17. Jahrhundert? L. Holtmeier: La mécanique des doigts? Energie und Körperlichkeit in der französischen Musiktheorie? A. Stollberg: Schwunglinien und Wellenkurven. Zur Theorie der Melodik im späten 18. und frühen 19. Jahrhundert? M. Schneider: Tugend-Energie. Charakterkraft und Erzählform in Wielands Agathon und Schlegels Lucinde? B. Specht: Die?geheimere Werkstätte (...)
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  17.  12
    Energy humanities: an anthology.Imre Szeman & Dominic Boyer (eds.) - 2017 - Baltimore: Johns Hopkins University Press.
    Energy humanities is a field of scholarship that, like medical humanities and digital humanities before it, overcomes traditional boundaries between the disciplines and between academic and applied research. Like its predecessors, energy humanities highlights the essential contribution that the insights and methods of the human sciences can make to areas of study and analysis once thought best left to the natural sciences. This isn't a case of the humanities simply helping their cross-campus colleagues to learn the mechanics of (...)
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  18. The energy concept.Lewis Guy Rohrbaugh - 1922 - [Iowa City?: University of Iowa?.
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  19.  3
    Conscious energy and the evolution of philosophy.Joseph P. Provenzano - 2021 - Saint Louis, MO: En Route Books and Media, LLC.
    Part 1: What is philosophy? Introduction -- A brief history of philosophy -- Part II: The evolution of philosophy. Reason -- Sense experience -- Reason, sense, and intuition -- Self-preservation/power -- Desire/Free will -- Science -- Language -- Additional human activities -- Philosophy : the lessons learned -- Part III: The philosophy of conscious energy. Pierre Teilhard de Chardin (1881-1955) -- The philosophy of conscious energy -- Comments.
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  20. Energy interdependence encourages nations to work together and avoid serious energy disruptions.Daniel Yergin - 2014 - In David M. Haugen (ed.), War. Detroit: Greenhaven Press, A part of Gale, Cengage Learning.
     
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  21.  40
    Free-energy and the brain.Karl Friston & Klaas Stephan - 2007 - Synthese 159 (3):417-458.
    If one formulates Helmholtz’s ideas about perception in terms of modern-day theories one arrives at a model of perceptual inference and learning that can explain a remarkable range of neurobiological facts. Using constructs from statistical physics it can be shown that the problems of inferring what cause our sensory inputs and learning causal regularities in the sensorium can be resolved using exactly the same principles. Furthermore, inference and learning can proceed in a biologically plausible fashion. The ensuing scheme rests on (...)
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  22.  18
    Against ‘functional gravitational energy’: a critical note on functionalism, selective realism, and geometric objects and gravitational energy.Patrick M. Duerr - 2019 - Synthese 199 (S2):299-333.
    The present paper revisits the debate between realists about gravitational energy in GR and anti-realists/eliminativists. I re-assess the arguments underpinning Hoefer’s seminal eliminativist stance, and those of their realist detractors’ responses. A more circumspect reading of the former is proffered that discloses where the so far not fully appreciated, real challenges lie for realism about gravitational energy. I subsequently turn to Lam and Read’s recent proposals for such a realism. Their arguments are critically examined. Special attention is devoted (...)
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  23.  9
    Energies in the arts.Douglas Kahn (ed.) - 2019 - Cambridge, Massachusetts: The MIT Press.
    Investigating the concepts and material realities of energy coursing through the arts: a foundational text. This book investigates energies—in the plural, the energies embedded and embodied in everything under the sun— as they are expressed in the arts. With contributions from scholars and critics from the visual arts, art history, anthropology, music, literature, and the history of science, it offers the first multidisciplinary investigation of the concepts and material realities of energy coursing through the arts. Just as Douglas (...)
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  24.  76
    Nuclear Energy, Risk, and Emotions.Sabine Roeser - 2011 - Philosophy and Technology 24 (2):197-201.
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  25. Energy Non-conservation in Quantum Mechanics.Sean M. Carroll & Jackie Lodman - 2021 - Foundations of Physics 51 (4):1-15.
    We study the conservation of energy, or lack thereof, when measurements are performed in quantum mechanics. The expectation value of the Hamiltonian of a system changes when wave functions collapse in accordance with the standard textbook treatment of quantum measurement, but one might imagine that the change in energy is compensated by the measuring apparatus or environment. We show that this is not true; the change in the energy of a state after measurement can be arbitrarily large, (...)
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  26.  59
    Energy Constraints.Carl Mitcham & Jessica Smith Rolston - 2013 - Science and Engineering Ethics 19 (2):313-319.
    Building on research in anthropology and philosophy, one can make a distinction between type I and type II energy ethics as a framework for advancing public debate about energy. Type I holds energy production and use as a fundamental good and is grounded in the assumption that increases in energy production and consumption result in increases in human wellbeing. Conversely, type II questions the linear relationship between energy production and progress by examining questions of equity (...)
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  27.  8
    An Energy Approach to Civilization Crisis and Tasks. 최문기 - 2012 - Journal of Ethics: The Korean Association of Ethics 1 (85):133-166.
  28.  35
    Teaching Energy Informed by the History and Epistemology of the Concept with Implications for Teacher Education.Manuel Bächtold & Muriel Guedj - 2014 - In Michael R. Matthews (ed.), International Handbook of Research in History, Philosophy and Science Teaching. Springer. pp. 211-243.
    In this article, we put forward a new strategy for teaching the concept of energy. In the first section, we discuss how the concept is currently treated in educational programmes at primary and secondary level (taking the case of France), the learning difficulties that arise as well as the main teaching strategies presented in science education literature. In the second section, we argue that due to the complexity of the concept of energy, rethinking how it is taught should (...)
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  29.  2
    Energy, force, and matter: the conceptual development of nineteenth-century physics.Peter Michael Harman - 1982 - New York: Cambridge University Press.
    By focusing on the conceptual issues faced by nineteenth century physicists, this book clarifies the status of field theory, the ether, and thermodynamics in the work of the period. A remarkably synthetic account of a difficult and fragmentary period in scientific development.
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  30.  48
    Free Energy and the Self: An Ecological–Enactive Interpretation.Julian Kiverstein - 2020 - Topoi 39 (3):559-574.
    According to the free energy principle all living systems aim to minimise free energy in their sensory exchanges with the environment. Processes of free energy minimisation are thus ubiquitous in the biological world. Indeed it has been argued that even plants engage in free energy minimisation. Not all living things however feel alive. How then did the feeling of being alive get started? In line with the arguments of the phenomenologists, I will claim that every feeling (...)
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  31.  16
    ENERGY 2040: Aligning Innovation, Economics and Decarbonization.Deepak Divan & Suresh Sharma - 2024 - Springer Nature Switzerland.
    Access to energy is essential for our daily lives, economic growth, environment, and sustainability. However, our use of fossil fuels has contributed to global climate change, which poses a significant threat to society and life on this planet. Yet, it has been challenging to reconcile the perceived conflict between economics and climate change, which has created deep divisions in our society. ENERGY 2040: Aligning Innovation, Economics, and Decarbonization provides a holistic and comprehensive analysis of the ongoing energy (...)
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  32.  10
    Sustainable Energy Siting, Affect, and Climate Mitigation: Questions for a Future Research Agenda.Aaron Russell & Jeremy Firestone - 2023 - Emotion Review 15 (4):271-274.
    The affective sciences are essential to research regarding sustainable transition towards renewable energy. We focus on important questions that should be addressed by affective science in relation to the siting of large-scale renewable energy projects like wind and solar. Considering the recent acceleration of the transition, a more holistic understanding of negative and positive emotional responses to energy development will be essential. This is particularly important as the least controversial sites begin to dwindle in number. We break (...)
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  33. Energy Decisions within an Applied Ethics Framework: An Analysis of Five Recent Controversies.Jacob Bethem, Giovanni Frigo, Saurabh Biswas, C. Tyler DesRoches & Martin Pasqualetti - 2020 - Energy, Sustainability and Society 10 (10):29.
    Everywhere in the world, and in every period of human history, it has been common for energy decisions to be made in an ethically haphazard manner. With growing population pressure and increasing demand for energy, this approach is no longer viable. We believe that decision makers must include ethical considerations in energy decisions more routinely and systematically. To this end, we propose an applied ethics framework that accommodates principles from three classical ethical theories—virtue ethics, deontology, consequentialism, and (...)
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  34.  5
    Energy and forces as aesthetic interventions: politics of bodily scenarios.Sabine Huschka & Barbara Gronau (eds.) - 2019 - Bielefeld: Transcript.
    This volume collects academic as well as artistic explorations highlighting historical and contemporary approaches to the energetic in its aesthetic and political potential. Energetic processes straddle dance, performance art, and installations. They transform the body, evoke specific states, and push towards intensities. In contemporary dance and performance art, energetic processes are no longer mere conditions of form but appear as distinct aesthetic interventions. The contributions in this volume submit these to thorough investigation, elucidating maneuvers of mobilization, activation, initiation, regulation, navigation, (...)
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  35. Mass‐energy‐momentum: Only there because of spacetime.Dennis Lehmkuhl - 2011 - British Journal for the Philosophy of Science 62 (3):453-488.
    I describe how relativistic field theory generalizes the paradigm property of material systems, the possession of mass, to the requirement that they have a mass–energy–momentum density tensor T µ associated with them. I argue that T µ does not represent an intrinsic property of matter. For it will become evident that the definition of T µ depends on the metric field g µ in a variety of ways. Accordingly, since g µ represents the geometry of spacetime itself, the properties (...)
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  36. Energy Conservation in GTR.Carl Hoefer - 2000 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 31 (2):187-199.
    The topics of gravitational field energy and energy-momentum conservation in General Relativity theory have been unjustly neglected by philosophers. If the gravitational field in space free of ordinary matter, as represented by the metric g ab itself, can be said to carry genuine energy and momentum, this is a powerful argument for adopting the substantivalist view of spacetime.This paper explores the standard textbook account of gravitational field energy and argues that (a) so-called stress-energy of the (...)
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  37.  15
    Energy Regulation in Africa: Dynamics, Challenges, and Opportunities.Ishmael Ackah & Charly Gatete (eds.) - 2024 - Springer Nature Switzerland.
    This book analyzes the political economy governing energy regulation across the African continent. Presenting case studies that span diverse energy sectors and countries, it provides an overview of their complex political and regulatory frameworks. The book explores emerging technologies and energy markets, highlighting Africa’s preparedness for the energy transition, and sheds light on the pivotal role of cross-border energy trade with regard to energy access. Further, it examines regulators’ influence within regional power pools, as (...)
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  38. Energy security issues in contemporary Europe.Josef Abrhám, Igor Britchenko, Marija Jankovic & Kristina Garškaitė-Milvydienė - 2018 - Journal of Security and Sustainability Issues 7 (3):388-398.
    Throughout the history of mankind, energy security has been always seen as a means of protection from disruptions of essential energy systems. The idea of protection from disorders emerged from the process of securing political and military control over energy resources to set up policies and measures on managing risks that affect all elements of energy systems. The various systems placed in a place to achieve energy security are the driving force towards the energy (...)
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  39.  30
    The Energy Maintenance Theory of Aging: Maintaining Energy Metabolism to Allow Longevity.Snehal N. Chaudhari & Edward T. Kipreos - 2018 - Bioessays 40 (8):1800005.
    Fused, elongated mitochondria are more efficient in generating ATP than fragmented mitochondria. In diverse C. elegans longevity pathways, increased levels of fused mitochondria are associated with lifespan extension. Blocking mitochondrial fusion in these animals abolishes their extended longevity. The long‐lived C. elegans vhl‐1 mutant is an exception that does not have increased fused mitochondria, and is not dependent on fusion for longevity. Loss of mammalian VHL upregulates alternate energy generating pathways. This suggests that mitochondrial fusion facilitates longevity in C. (...)
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  40.  26
    Energy Requirements Undermine Substrate Independence and Mind-Body Functionalism.Paul Thagard - 2022 - Philosophy of Science 89 (1):70-88.
    Substrate independence and mind-body functionalism claim that thinking does not depend on any particular kind of physical implementation. But real-world information processing depends on energy, and energy depends on material substrates. Biological evidence for these claims comes from ecology and neuroscience, while computational evidence comes from neuromorphic computing and deep learning. Attention to energy requirements undermines the use of substrate independence to support claims about the feasibility of artificial intelligence, the moral standing of robots, the possibility that (...)
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  41.  7
    When Energy Justice is Contested: A Systematic Review of a Decade of Research on Sweden's Conflicted Energy Landscape.Vasna Ramasar, Henner Busch, Eric Brandstedt & Krisjanis Rudus - 2022 - Energy Research and Social Science 94:1-13.
    The way in which we produce and consume energy has profound implications for our societies. How we configure our energy systems determines not only our chances of successfully dealing with climate change but also, how benefits and burdens of these systems are distributed. In this paper, we set out to map the literature on conflicts related to the energy system in Sweden using a framework of energy justice. The purpose of this exercise is twofold: first, to (...)
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  42.  85
    Free-Energy Minimization and the Dark-Room Problem.Karl Friston, Christopher Thornton & Andy Clark - 2012 - Frontiers in Psychology 3.
  43.  46
    Energy rate density as a complexity metric and evolutionary driver.E. J. Chaisson - 2011 - Complexity 16 (3):27-40.
  44.  43
    Mind-energy.Henri Bergson - 1920 - New York: Palgrave-Macmillan. Edited by Keith Ansell-Pearson & Michael Kolkman.
    Henri Bergson (1859-1941) is one of the truly great philosophers of the Modernist period, and there is currently a major renaissance of interest in his unduly neglected texts and ideas amongst philosophers, literary theorists, and social theorists. Mind-Energy is a collection of essays and lectures from the period 1901-13 and has long been out of print. It features essays on life and consciousness, soul and body, mind and brain, and on dreams, memory and the phenomenon of false recognition; the (...)
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  45. Energy sovereignty: a values-based conceptual analysis.Cristian Timmermann & Eduardo Noboa - 2022 - Science and Engineering Ethics 28 (6):54.
    Achieving energy sovereignty is increasingly gaining prominence as a goal in energy politics. The aim of this paper is to provide a conceptual analysis of this principle from an ethics and social justice perspective. We rely on the literature on food sovereignty to identify through a comparative analysis the elements energy sovereignty will most likely demand and thereafter distinguish the unique constituencies of the energy sector. The idea of energy sovereignty embraces a series of values, (...)
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  46. Losing energy in classical, relativistic and quantum mechanics.David Atkinson - 2006 - Studies in History and Philosophy of Modern Physics 38 (1):170-180.
    A Zenonian supertask involving an infinite number of colliding balls is considered, under the restriction that the total mass of all the balls is finite. Classical mechanics leads to the conclusion that momentum, but not necessarily energy, must be conserved. Relativistic mechanics, on the other hand, implies that energy and momentum conservation are always violated. Quantum mechanics, however, seems to rule out the Zeno configuration as an inconsistent system.
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  47. Nuclear energy and obligations to the future.R. Routley & V. Routley - 1978 - Inquiry: An Interdisciplinary Journal of Philosophy 21 (1-4):133 – 179.
    The paper considers the morality of nuclear energy development as it concerns future people, especially the creation of highly toxic nuclear wastes requiring long?term storage. On the basis of an example with many parallel moral features it is argued that the imposition of such costs and risks on the future is morally unacceptable. The paper goes on to examine in detail possible ways of escaping this conclusion, especially the escape route of denying that moral obligations of the appropriate type (...)
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  48.  22
    Biological Energy and the Experiencing Subject.Johan Gamper - 2020 - Axiomathes 31 (4):497-506.
    As physical things have mathematical properties we in this paper let mental things have biological properties. The work is based on recent metaphysical findings that shows that there could be interfaces between separate ontological domains. According to this view there could be mathematical objects, physical objects, and also mental objects. The aim of this study is to establish a view of the biological object that allows it to possibly generate the experiencing subject. Based on the notion that energy per (...)
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  49.  26
    Energy Communities and the Tensions Between Neoliberalism and Communitarianism.Erik Laes & Gunter Bombaerts - 2022 - Science and Engineering Ethics 28 (1):1-21.
    The convergent development of distributed electricity sources, storage technologies, ‘big data’ devices, and novel ICT infrastructure matching energy supply and demand enables new local and collective forms of energy consumption and production. This socio-technical evolution has been accompanied by the development of citizen energy communities that have been supported by EU energy governance and directives, adopting a political narrative of placing the citizen central in the ongoing energy transition. But to what extent are the ideals (...)
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  50.  53
    Time-energy uncertainty and relativistic canonical commutation relations in quantum spacetime.Eduard Prugovečki - 1982 - Foundations of Physics 12 (6):555-564.
    It is shown that the time operatorQ 0 appearing in the realization of the RCCR's [Qμ,Pv]=−jhgμv, on Minkowski quantum spacetime is a self adjoint operator on Hilbert space of square integrable functions over Σ m =σ×v m , where σ is a timelike hyperplane. This result leads to time-energy uncertainty relations that match their space-momentum counterparts. The operators Qμ appearing in Born's metric operator in quantum spacetime emerge as internal spacetime operators for exciton states, and the condition that the (...)
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