It is shown that the Kapitza-Dirac effect with atoms, which has been considered to be evidence for their wavelike character, can be interpreted as a scattering of pointlike objects by the periodic laser field.

This is a new volume of original essays on the metaphysics of quantum mechanics. The essays address questions such as: What fundamental metaphysics is best motivated by quantum mechanics? What is the ontological status of the wave function? Does quantum mechanics support the existence of any other fundamental entities, e.g. particles? What is the nature of the fundamental space of quantum mechanics? What is the relationship between the fundamental ontology of quantum mechanics and ordinary, macroscopic objects like tables, chairs, and (...) persons? This collection includes a comprehensive introduction with a history of quantum mechanics and the debate over its metaphysical interpretation focusing especially on the main realist alternatives. (shrink)

This is a new volume of original essays on the metaphysics of quantum mechanics. The essays address questions such as: What fundamental metaphysics is best motivated by quantum mechanics? What is the ontological status of the wave function? What is the nature of the fundamental space (or space-time manifold) of quantum mechanics?

It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the wave-function as a multi-field in three-dimensional space. This approach hasn’t received the attention yet it really deserves. The aim of this paper is threefold: first, we show that the wave-function is naturally and straightforwardly construed as a multi-field; second, we show why this interpretation is superior to other interpretations (...) discussed in the literature; third, we clarify common misconceptions. (shrink)

Hugh Everett III proposed his relative-state formulation of pure wave mechanics as a solution to the quantum measurement problem. He sought to address the theory’s determinate record and probability problems by showing that, while counterintuitive, pure wave mechanics was nevertheless empirically faithful and hence empirical acceptable. We will consider what Everett meant by empirical faithfulness. The suggestion will be that empirical faithfulness is well understood as a weak variety of empirical adequacy. The thought is that the very idea of empirical (...) adequacy might be renegotiated in the context of a new physical theory given the theory’s other virtues. Everett’s argument for pure wave mechanics provides a concrete example of such a renegotiation. (shrink)

Starting from the cyclic principle in the process of a society's development, invoking „the end of history" that Hegel mentions, adding the paradoxical principle of Huntington's civilizations, of a unity in diversity, through which we can have a clear and universal image of the conflicts, as actions generated by a cultural-religious interaction, and passing these through the filter of the noble origin of the Occidental civilization, we renew a typology of the inter-societies conflict and we keep the possibility of finding (...) some methods for settling them. (shrink)

Starting from the cyclic principle in the process of a society's development, invoking „the end of history" that Hegel mentions, adding the paradoxical principle of Huntington's civilizations, of a unity in diversity, through which we can have a clear and universal image of the conflicts, as actions generated by a cultural-religious interaction, and passing these through the filter of the noble origin of the Occidental civilization, we renew a typology of the inter-societies conflict and we keep the possibility of finding (...) some methods for settling them. (shrink)

Antony Gormley's Another Place and Olafur Eliasson's Your watercolour machine exemplify passages and combinations of smooth and striated space as beings of sensation on planes of technical and aesthetic composition. They are frames which striate the smoothness of light, water, molten iron, etc., using scientific planes of reference. Smooth and striated mix as boundaries between visitors’ bodies and installation become permeable. Optic becomes tactile, becomes haptic, generative engagement. Both artists experiment with the interface between striated and smooth to encourage visitors (...) to experiment and experience sensation. The installations are liquid spaces; forms of perpetual non-permanence which affect and react with others’ behaviours in processes of co-emergence. (shrink)

The meaning of the wave function has been a hot topic of debate since the early days of quantum mechanics. Recent years have witnessed a growing interest in this long-standing question. Is the wave function ontic, directly representing a state of reality, or epistemic, merely representing a state of knowledge, or something else? If the wave function is not ontic, then what, if any, is the underlying state of reality? If the wave function is indeed ontic, then exactly what physical (...) state does it represent? In this book, I aim to make sense of the wave function in quantum mechanics and find the ontological content of the theory. The book can be divided into three parts. The first part addresses the question of the nature of the wave function. After giving a comprehensive and critical review of the competing views of the wave function, I present a new argument for the ontic view in terms of protective measurements. In addition, I also analyze the origin of the wave function by deriving the free Schroedinger equation. The second part analyzes the ontological meaning of the wave function. I propose a new ontological interpretation of the wave function in terms of random discontinuous motion of particles, and give two main arguments supporting this interpretation. The third part investigates whether the suggested quantum ontology is complete in accounting for our definite experience and whether it needs to be revised in the relativistic domain. (shrink)

Peter Achinstein (1990, 1991) analyses the scientific debate that took place in the eighteenth and nineteenth centuries concerning the nature of light. He offers a probabilistic account of the methods employed by both particle theorists and wave theorists, and rejects any analysis of this debate in terms of coherence. He characterizes coherence through reference to William Whewell's writings concerning how "consilience of inductions" establishes an acceptable theory (Whewell, 1847) . Achinstein rejects this analysis because of its vagueness and lack of (...) reference to empirical data, concluding that coherence is insufficient to account for the belief change that took place during the wave-particle debate. (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 report on the simultaneous determination of complementary wave and particle aspects of light in a double-slit type “welcher-weg” experiment beyond the limitations set by Bohr’s Principle of Complementarity. Applying classical logic, we verify the presence of sharp interference in the single photon regime, while reliably maintaining the information about the particular pinhole through which each individual photon had passed. This experiment poses interesting questions on the validity of Complementarity in cases where measurements techniques that avoid Heisenberg’s uncertainty principle and (...) quantum entanglement are employed. We further argue that the application of classical concepts of waves and particles as embodied in Complementarity leads to a logical inconsistency in the interpretation of this experiment. (shrink)

The recent detection of gravitational waves by the LIGO team has rightly been hailed as “the crowning achievemen of classical physics”. This detection, which came at the end of a decade-long quest, involved 950 investigators, and cost around one billion US dollars, was the scientific star of the year 2015. What, if any, is the philosophical impact of this scientific breakthrough, which Albert Einstein had anticipated one century earlier? To answer this question we start by examining the central equations (...) of Einstein’s theory of gravitation, also known as general relativity. Subsequently we analyze the special case of a hollow sphere, in an attempt to answer the question of the reality and even materiality of space or, rather, spacetime. As well, the view that gravitation is a manifestation of the curvature of spacetime is discussed, and the reality of gravitational waves is regarded as the coup de grâce to that view. (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.

There have been times in the history of ethical theory, especially in this century, when moral realism was down, but it was never out. The appeal of this doctrine for many moral philosophers is apparently so strong that there are always supporters in its corner who seek to resuscitate the view. The attraction is obvious: moral realism purports to provide a precious philosophical good, viz., objectivity and all that this involves, including right answers to (most) moral questions, and the possibility (...) of knowing those answers. In the last decade, moral realism has re-entered the philosophical ring in powerful-looking naturalistic form. ln this paper we provide a dialectical overview: we situate the new wave position itself, and also our objections to it, in the context of the evolving program of philosophical naturalism in 20th century analytic philosophy. We seek to show that although this new contender might initially look like championship material, it succumbs to punches surprisingly similar to those that knocked out the old-fashioned versions of naturalist moral realism. (shrink)

There have been times in the history of ethical theory, especially in this century, when moral realism was down, but it was never out. The appeal of this doctrine for many moral philosophers is apparently so strong that there are always supporters in its corner who seek to resuscitate the view. The attraction is obvious: moral realism purports to provide a precious philosophical good, viz., objectivity and all that this involves, including right answers to (most) moral questions, and the possibility (...) of knowing those answers. In the last decade, moral realism has re-entered the philosophical ring in powerful-looking naturalistic form. ln this paper we provide a dialectical overview: we situate the new wave position itself, and also our objections to it, in the context of the evolving program of philosophical naturalism in 20th century analytic philosophy. We seek to show that although this new contender might initially look like championship material, it succumbs to punches surprisingly similar to those that knocked out the old-fashioned versions of naturalist moral realism. (shrink)

This volume brings together eleven essays by the distinguished philosopher of science, Peter Achinstein. The unifying theme is the nature of the philosophical problems surrounding the postulation of unobservable entities such as light waves, molecules, and electrons. How, if at all, is it possible to confirm scientific hypotheses about "unobservables"? Achinstein examines this question as it arose in actual scientific practice in three nineteenth-century episodes: the debate between particle and wave theorists of light, Maxwell's kinetic theory of gases, and (...) J.J. Thomson's discovery of the electron. The book contains three parts, each devoted to one of these topics, beginning with an essay presenting the historical background of the episode and an introduction to the philosophical issues. There is an illuminating evaluation of various scientific methodologies, including hypothetico-deductivism, inductivism, and the method of independent warrant which combines features of the first two. Achinstein assesses the philosophical validity of both nineteenth-century and modern answers to questions about unobservables, and presents and defends his own solutions. (shrink)

A century after the discovery of quantum mechanics, the meaning of quantum mechanics still remains elusive. This is largely due to the puzzling nature of the wave function, the central object in quantum mechanics. If we are realists about quantum mechanics, how should we understand the wave function? What does it represent? What is its physical meaning? Answering these questions would improve our understanding of what it means to be a realist about quantum mechanics. In this survey article, I review (...) and compare several realist interpretations of the wave function. They fall into three categories: ontological interpretations, nomological interpretations, and the sui generis interpretation. For simplicity, I will focus on non-relativistic quantum mechanics. (shrink)

Traveling-wave solutions of the standard and compound form of Korteweg–de Vries–Burgers equations are found using factorizations of the corresponding reduced ordinary differential equations. The procedure leads to solutions of Bernoulli equations of non-linearity 3/2 and 2 (Riccati), respectively. Introducing the initial conditions through an imaginary phase in the traveling coordinate, we obtain all the solutions previously reported, some of them being corrected here, and showing, at the same time, the presence of interesting details of these solitary waves that have (...) been overlooked before this investigation. (shrink)

A collection of papers to illustrate new waves in Philosophy of Language: -/- "Linguistic Puzzles and Semantic Pretence" by B. Armour-Garb & J. Woodbridge; "Minimal Semantics and the Nature of Psychological Evidence" by E. Borg; "A Naturalistic Approach to the Philosophy of Language" by J. Collins; "In Praise of our Linguistic Intuitions" by A. Everett; "Phenomenal Continua and Secondary Properties" by P. Greenough; "Semantic Oughts in Context" by A. Hattiangadi; "Content Force and Semantic Norms" by M. Kolbel; "Linguistic Competence (...) and Propositional Knowledge" by G. Longworth; "Expressives and Beyond" by S. Predelli; "Analyticity in Externalist Languages" by G. Russell ; "Names as Predicates" by S. Sawyer; "The Epistemic Reading of Counterfactual Conditionals" by K. Schulz; "Introduction, Transmission, and the Foundations of Meaning" by J. Speaks. (shrink)

I argue that the wave function ontology for quantum mechanics is an undesirable ontology. This ontology holds that the fundamental space in which entities evolve is not three-dimensional, but instead 3N-dimensional, where N is the number of particles standardly thought to exist in three-dimensional space. I show that the state of three-dimensional objects does not supervene on the state of objects in 3N-dimensional space. I also show that the only way to guarantee the existence of the appropriate mental states in (...) the wave function ontology has undesirable metaphysical baggage: either mind/body dualism is true, or circumstances which we take to be logically possible turn out to be logically impossible.“While our theory can be extended formally in a logically consistent way by introducing the concept of a wave in a 3N-dimensional space, it is evident that this procedure is not really acceptable in a physical theory... ” (Bohm 1957, 117). (shrink)

The analysis of long economic cycles allows us to understand long-term worldsystem dynamics, to develop forecasts, to explain crises of the past, as well as the current global economic crisis. The article offers a historical sketch of research on K-waves; it analyzes the nature of Kondratieff waves that are considered as a special form of cyclical dynamics that emerged in the industrial period of the World System history. It offers a historical and theoretical analysis of K-wave dynamics in (...) the World System framework; in particular, it studies the influence of the long wave dynamics on the changes of the world GDP growth rates during the last two centuries. Special attention is paid to the interaction between Kondratieff waves and Juglar cycles. The article is based on substantial statistical data, it extensively employs quantitative analysis, contains numerous tables and diagrams. On the basis of the proposed analysis it offers some forecasts of the world economic development in the next two decades. The article concludes with a section that presents a hypothesis that the change of K-wave upswing and downswing phases correlates significantly with the phases of fluctuations in the relationships between the World-System Core and Periphery, as well as with the World System Core changes. (shrink)

This paper introduces a new theory in temporal ontology, ‘wave theory’, and argues for its attractions over and above existing tensed theories of time.

Although far from unanimous, there seems to be a general consensus that neither mind nor brain can be reduced without remainder to the other. This essay argues that indeed both mind and brain need to be included in a nonreductionistic way in any genuinely integral theory of consciousness. In order to facilitate such integration, this essay presents the results of an extensive cross-cultural literature search on the ‘mind’ side of the equation, suggesting that the mental phenomena that need to be (...) considered in any integral theory include developmental levels or waves of consciousness, developmental lines or streams of consciousness, states of consciousness, and the self . A ‘master template’ of these various phenomena, culled from over one-hundred psychological systems East and West, is presented. It is suggested that this master template represents a general summary of the ‘mind’ side of the brain-mind integration. The essay concludes with reflections on the ‘hard problem', or how the mind-side can be integrated with the brain-side to result a more integral theory of consciousness. (shrink)

"New wave" reductionism aims at advancing a kind of reduction that is stronger than unilateral dependency of the mental on the physical. It revolves around the idea that reduction between theoretical levels is a matter of degree, and can be laid out on a continuum between a "smooth" pole (theoretical identity) and a "bumpy" pole (extremely revisionary). It also entails that both higher and lower levels of the reductive relationship sustain some degree of explanatory autonomy. The new wave predicts that (...) reductions of folk psychology to neuroscience will be located in the middle of this continuum; as neuroscientific evidence about mental states checks in, theoretical folk psychology will therefore be moderately revised. However, the model has conceptual problems which preclude its success in reviving reductionism, and its commitment to a syntactic approach wrecks its attempt to rescue folk psychology. Moreover, the architecture of the continuum operates on a category mistake that sneaks in an eliminativist conclusion. I argue that new wave reductionism therefore tends to be eliminativism in disguise. (shrink)

In this paper I offer a normative account of development expertise. Although extending expertise beyond the traditional development experts to include local stakeholders, this normative account aims to delimit legitimate forms of expertise. I label this normative view third wave development expertise. Third wave expertise is distinguished from both the technocratic and the social constructivist views of development expertise. In particular, I discuss the notions of contributory and interactional expertise. Contributory expertise denotes the extent to which a group of agents (...) possesses knowledge which can make a significant contribution to development decision-making, while interactional expertise denotes the extent to which they are able to communicate this knowledge meaningfully. While local stakeholders may possess contributory expertise in matters of their own development, they may lack interactional expertise to communicate this knowledge. Resolving this issue, I argue, requires a mediator who can interact with and between external experts and local stakeholders. (shrink)

We give a rough statement of the main result. Let D be a compact subset of ℝ3× ℝ. The propagation u of a wave can be noncomputable in any neighborhood of any point of D even though the initial conditions which determine the wave propagation uniquely are computable. A precise statement of the result appears below.

Laudan and Cantor maintain that there exists a methodological gulf between 19th century wave theorists of light, who employed a method of hypothesis, and 18th and 19th century particle theorists, who were inductivists. This paper examines how in fact wave theorists typically argued for their theory, in order to see to what extent their reasoning corresponds to the method of hypothesis or to inductivism in sophisticated versions of these doctrines offered by Whewell and Mill. It also examines how, given the (...) methodology they actually employed, wave theorists could in principle deal with anomalies to their theory, particularly with phenomena, such as dispersion, which their theory could not explain. (shrink)

Recognition memory performance reflects two distinct memory processes: a conscious process of recollection, which allows remembering specific details of a previous event, and familiarity, which emerges in the absence of any conscious information about the context in which the event occurred. Slow wave sleep and rapid eye movement sleep are differentially involved in the consolidation of different types of memory. The study assessed the effects of SWS and REM sleep on recollection, by means of the “remember”/”know” paradigm. Subjects studied three (...) blocks of 12 words before a 3-h retention interval filled with SWS, REM sleep or wakefulness, placed between 3 a.m. and 6 a.m. Afterwards, recognition and recollection were tested. Recollection was higher after a retention interval rich in SWS than after a retention interval rich in REM sleep or filled with wakefulness. The results suggest that SWS facilitates the process of recollection in recognition memory. (shrink)

In this chapter, I propose a new framework for extended epistemology, based on a second-wave approach to extended cognition. The framework is inclusive, in that it takes into account the complex interplay between the diverse embodiments of extended knowers and the salient properties of technological artifacts, as well as the environment in which they are embedded. Thus it both emphasizes and exploits the complementary roles played by these different elements. Finally, I motivate and explain this framework by applying it to (...) a case of interaction with contemporary technologies. (shrink)

There have been times in the history of ethical theory, especially in this century, when moral realism was down, but it was never out. The appeal of this doctrine for many moral philosophers is apparently so strong that there are always supporters in its corner who seek to resuscitate the view. The attraction is obvious: moral realism purports to provide a precious philosophical good, viz., objectivity and all that this involves, including right answers to (most) moral questions, and the possibility (...) of knowing those answers. In the last decade, moral realism has re-entered the philosophical ring in powerful-looking naturalistic form. ln this paper we provide a dialectical overview: we situate the new wave position itself, and also our objections to it, in the context of the evolving program of philosophical naturalism in 20th century analytic philosophy. We seek to show that although this new contender might initially look like championship material, it succumbs to punches surprisingly similar to those that knocked out the old-fashioned versions of naturalist moral realism. (shrink)

This is an introduction to wave function realism for a compendium on the philosophy of quantum mechanics that will be edited and translated into Portuguese by Raoni Arroyo, entitled Compêndio de Filosofia da Física Quântica. This essay presents the history of wave function realism, its various interpretations, the main arguments that are given for the position, and the main objections that have been raised to it.

This dissertation aims to revive wave theory in the philosophy of sound. Wave theory identifies sounds with compression waves. Despite its wide acceptance in the scientific community as the default position, many philosophers have rejected wave theory and opted for different versions of distal theory instead. According to this current majority view, a sound has its stationary location at its source. I argue against this and other alternative philosophical theories of sound and develop wave theory into a more defensible (...) form. Philosophers of sound tend to emphasise how sounds are experienced to be in their arguments. Most often, it is assumed that that which appears to be a distally located bearer of auditory properties in an auditory experience is a sound. Chapter 1 argues that if this distal entity is the sound source instead, many of the existing theories of sound will be severely affected. Chapter 2 discusses auditory perception and criticises the common assumption that we hear non-sound entities in virtue of hearing sounds. I show that this assumption begs the question against certain theories of sound and that the contrary view that sound sources can be directly heard is more plausible. If sound sources can be directly heard, then features commonly attributed to sounds based on auditory experiences might rather be features of sound sources. I examine eight of such features in Chapter 3. Only four of them survive. Chapters 4 and 5 review the existing theories of sound. After a taxonomy of existing theories of sound, each theory is criticised one-by-one. Some of them are problematic precisely because they rely on the implausible assumption that that which appears to be distally located in an auditory experience is a sound rather than a sound source. Lastly, Chapter 6 focuses on wave theory. It begins with two positive arguments for wave theory in general, followed by my replies to two common objections in the literature. I then move on to develop my version of wave theory. There are two core aspects of my view. The first one is a metaphysics of compression waves; the second is an account of what it is to hear compression waves. After comparing my view with a similar theory, I demonstrate the explanatory power of my view in two steps. First, the eight commonly accepted features of sounds examined in Chapter 3 are revisited. It turns out that my view can accommodate all of them. Second, explanations for four special sound-related phenomena are offered at the end of the chapter. I conclude in the last chapter with the suggestion that, as a philosopher, the best way to defend wave theory is to offer a better understanding of auditory perception which explains how compression waves are experienced. (shrink)

New Waves in Ethics brings together the leading future figures in ethics broadly construed, with essays ranging from meta-ethics and normative ethics to applied ethics and political philosophy. Topics include new work on experimental philosophy, feminism, and global justice, incorporating perspectives informed from historical and contemporary approaches alike. An ideal collection for anyone interested in the most important debates in ethics and political philosophy, as well as those with an interest in the latest significant contributions from the leading new (...) generation of philosophers working in ethics. (shrink)

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)

One of the central problems in the philosophy of psychology is an updated version of the old mind-body problem: how levels of theories in the behavioral and brain sciences relate to one another. Many contemporary philosophers of mind believe that cognitive-psychological theories are not reducible to neurological theories. However, this antireductionism has not spawned a revival of dualism. Instead, most nonreductive physicalists prefer the idea of a one-way dependence of the mental on the physical.In Psychoneural Reduction, John Bickle presents a (...) new type of reductionism, one that is stronger than one-way dependency yet sidesteps the arguments that sank classical reductionism. Although he makes some concessions to classical antireductionism, he argues for a relationship between psychology and neurobiology that shares some of the key aims, features, and consequences of classical reductionism. Parts of Bickle's "new wave" reductionism have emerged piecemeal over the past two decades; this is his first comprehensive statement and defense of it to appear. (shrink)

Surfers both cooperate and compete around a scarce natural resource – ocean waves suited for surfing – often with a fraught mix of motives and feelings, pro-social and anti-social. Much as surfers constantly adapt to a dynamic wave environment, their pro- and anti-social motives readily mix and shift, based on their interpretation of quickly changing context. What we learn from surfers is something materialistic focus on self-interest and realities of scarcity or abundance might de-emphasize or miss: a culture of (...) interpretation and reasoning (e.g. ‘localism’) is as important in the formation of shifting pro- and anti-social attitudes as the material reality of wave scarcity or abundance itself. (shrink)

When Einstein formulated his special relativity, he developed his dynamics for point particles. Of course, many valiant efforts have been made to extend his relativity to rigid bodies, but this subject is forgotten in history. This is largely because of the emergence of quantum mechanics with wave-particle duality. Instead of Lorentz-boosting rigid bodies, we now boost waves and have to deal with Lorentz transformations of waves. We now have some nderstanding of plane waves or running waves (...) in the covariant picture, but we do not yet have a clear picture of standing waves. In this report, we show that there is one set of standing waves which can be Lorentz-transformed while being consistent with all physical principle of quantum mechanics and relativity. It is possible to construct a representation of the Poincaré group using harmonic oscillator wave functions satisfying space-time boundary conditions. This set of wave functions is capable of explaining the quantum bound state for both slow and fast hadrons. In particular it can explain the quark model for hadrons at rest, and Feynman’s parton model hadrons moving with a speed close to that of light. (shrink)