Quantum cellular automata and quantum walks provide a framework for the foundations of quantum field theory, since the equations of motion of free relativistic quantum fields can be derived as the small wave-vector limit of quantum automata and walks starting from very general principles. The intrinsic discreteness of this framework is reconciled with the continuous Lorentz symmetry by reformulating the notion of inertial reference frame in terms of the constants of motion of the quantum (...) walk dynamics. In particular, among the symmetries of the quantum walk which recovers the Weyl equation—the so called Weyl walk—one finds a non linear realisation of the Poincaré group, which recovers the usual linear representation in the small wave-vector limit. In this paper we characterise the full symmetry group of the Weyl walk which is shown to be a non linear realization of a group which is the semidirect product of the Poincaré group and the group of dilations. (shrink)

Cognitive decisions are best described by quantum mathematics. Do quantum information devices operate in the brain? What would they look like? Fuss and Navarro () describe quantum lattice registers in which quantum superpositioned pathways interact (compute/integrate) as ‘quantum walks’ akin to Feynman's path integral in a lattice (e.g. the ‘Feynman quantum chessboard’). Simultaneous alternate pathways eventually reduce (collapse), selecting one particular pathway in a cognitive decision, or choice. This paper describes how quantum walks (...) in a Feynman chessboard are conceptually identical to ‘topological qubits’ in brain neuronal microtubules, as described in the Penrose-Hameroff 'Orch OR' theory of consciousness. (shrink)

Quantum walks exhibit different properties compared with classical random walks, most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating random walks, have been studied in the literature where the eventual properties of QWRW coincide with those of QWs. However, we consider that the unique attributes of QWRWs have not been fully utilized in the former studies to obtain deeper or new insights into QWs. (...) In this paper, we highlight the directivity of one-dimensional discrete quantum walks via QWRWs. By exploiting the fact that QWRW allows trajectories of individual walkers to be considered, we first discuss the determination of future directions of QWRWs, through which the effect of linear spreading and localization is manifested in another way. Furthermore, the transition probabilities of QWRWs can also be visualized and show a highly complex shape, representing QWs in a novel way. Moreover, we discuss the first return time to the origin between RWs and QWs, which is made possible via the notion of QWRWs. We observe that the first return time statistics of QWs are quite different from RWs, caused by both the linear spreading and localization properties of QWs. (shrink)

How realistic is it to adopt a quantum random walk model to account for decisions involving two choices? Here, we discuss the neural plausibility and the effect of initial state and boundary thresholds on such a model and contrast it with various features of the classical random walk model of decision making.

We scan Paul K. Feyerabend's work in philosophy of physics and of science more generally for insights that could be useful for the contemporary debate on the foundations of quantum mechanics. We take as our starting point what Feyerabend has actually written about quantum mechanics, but we extend our analysis to his general views on realism, objectivity, pluralism, and the relation between physics and philosophy, finding that these more general views could in fact offer many interesting insights for (...) physicists and philosophers working on quantum foundations. (shrink)

In recent years quantum probability models have been used to explain many aspects of human decision making, and as such quantum models have been considered a viable alternative to Bayesian models based on classical probability. One criticism that is often leveled at both kinds of models is that they lack a clear interpretation in terms of psychological mechanisms. In this paper we discuss the mechanistic underpinnings of a quantum walk model of human decision making and response (...) time. The quantum walk model is compared to standard sequential sampling models, and the architectural assumptions of both are considered. In particular, we show that the quantum model has a natural interpretation in terms of a cognitive architecture that is both massively parallel and involves both co-operative and competitive interactions between units. Additionally, we introduce a family of models that includes aspects of the classical and quantum walk models. (shrink)

AbstractIslam's Quantum Question by Nidhal Guessoum offers a sophisticated approach to reconciling the results of modern science with Islamic tradition. The book provides a valuable critique of existing literature on Islam and science and advocates the promotion of good science and science education in the Muslim world. A central tension in the book revolves around Guessoum's efforts to promote a version of theistic science, while at the same establishing a clear boundary for science and scientific methodology. Although the latter (...) works very well, the project of theistic science presented in the book is, at the very least, contentious. However, Islam's Quantum Question is a milestone in the literature on Islam and science and should be valuable for anyone interested in the search for meaning in both science and religion. (shrink)

Recent advances on quantum foundations achieved the derivation of free quantum field theory from general principles, without referring to mechanical notions and relativistic invariance. From the aforementioned principles a quantum cellular automata theory follows, whose relativistic limit of small wave-vector provides the free dynamics of quantum field theory. The QCA theory can be regarded as an extended quantum field theory that describes in a unified way all scales ranging from an hypothetical discrete Planck scale up (...) to the usual Fermi scale. The present paper reviews the automaton theory for the Weyl field, and the composite automata for Dirac and Maxwell fields. We then give a simple analysis of the dynamics in the momentum space in terms of a dispersive differential equation for narrowband wave-packets. We then review the phenomenology of the free-field automaton and consider possible visible effects arising from the discreteness of the framework. We conclude introducing the consequences of the automaton dispersion relation, leading to a deformed Lorentz covariance and to possible effects on the thermodynamics of ideal gases. (shrink)

Wavefunction collapse models modify Schrödinger's equation so that it describes the rapid evolution of a superposition of macroscopically distinguishable states to one of them. This provides a phenomenological basis for a physical resolution to the so-called “measurement problem.” Such models have experimentally testable differences from standard quantum theory. The most well developed such model at present is the Continuous Spontaneous Localization (CSL) model in which a universal fluctuating classical field interacts with particles to cause collapse. One “side effect” of (...) this interaction is that the field imparts energy to the particles: experimental evidence on this has led to restrictions on the parameters of the model, suggesting that the coupling of the classical field to the particles must be mass-proportional. Another “side effect” is that the field imparts momentum to particles, causing a small blob of matter to undergo random walk. Here we explore this in order to supply predictions which could be experimentally tested. We examine the translational diffusion of a sphere and a disc, and the rotational diffusion of a disc, according to CSL. For example, we find that the rms distance an isolated 10−5 cm radius sphere diffuses is ≈(its diameter, 5 cm) in (20 sec, a day), and that a disc of radius 2 ⋅ 10−5 cm and thickness 0.5 ⋅ 10−5 cm diffuses through 2πrad in about 70 sec (this assumes the “standard” CSL parameter values). The comparable rms diffusions of standard quantum theory are smaller than these by a factor 10−3±1. It is shown that the CSL diffusion in air at STP is much reduced and, indeed, is swamped by the ordinary Brownian motion. It is also shown that the sphere's diffusion in a thermal radiation bath at room temperature is comparable to the CSL diffusion, but is utterly negligible at liquid He temperature. Thus, in order to observe CSL diffusion, the pressure and temperature must be low. At the low reported pressure of 5 ⋅ 10−17 Torr, achieved at 4.2°K, the mean time between air molecule collisions with the (sphere, disc) is ≈(80, 45)min. This is ample time for observation of the putative CSL diffusion with the standard parameters and, it is pointed out, with any parameters in the range over which the theory may be considered viable. This encourages consideration of how such an experiment may actually be performed, and the paper closes with some thoughts on this subject. (shrink)

A discrete quantum mechanics is developed and used to construct models for discrete space-time and for the internal dynamics of elementary particles. This dynamics is given in terms of particles performing a quantum random walk on a multigraph.

Free and weakly interacting particles are described by a second-quantized nonlinear Schrödinger equation, or relativistic versions of it. They describe Gaussian random walks with collisions. By contrast, the fields of strongly interacting particles are governed by effective actions, whose extremum yields fractional field equations. Their particle orbits perform universal Lévy walks with heavy tails, in which rare events are much more frequent than in Gaussian random walks. Such rare events are observed in exceptionally strong windgusts, monster or rogue waves, earthquakes, (...) and financial crashes. While earthquakes may destroy entire cities, the latter have the potential of devastating entire economies. (shrink)

Introduction: The Winding Road to Quantum Gravity Abhay Ashtekar Traveler, there are no paths; Paths are made by walking. ...

We describe how a model of effective interactions between quantum fluctuations under certain assumptions can be constructed in a way so that the large-scale limit gives an effective theory that matches general relativity (GR) in vacuum regions. This is an investigation of a possible scenario of spacetime emergence from quantum interactions directly in the spacetime, and of how effective quantum behaviour might provide a useful link between detailed properties of quantum interactions and GR. The quantum (...) fluctuations are assumed to entangle sufficiently for a cohesive spacetime to form, so that their effective properties can be described relative to a D-dimensional reference frame. To obtain the desired features of a smooth metric with a vanishing Ricci tensor, the quantum fluctuations are modelled as Gaussian probability distributions, with a shape set relative to the interactions coming from the surroundings. At small scales, the propagation through the spacetime is modelled by a Gaussian random walk. (shrink)

Eighty years after de Broglie’s, and a little more than half a century after Bohm’s seminal papers, the de Broglie–Bohm theory (a.k.a. Bohmian mechanics), which is presumably the simplest theory which explains the orthodox quantum mechanics formalism, has reached an exemplary state of conceptual clarity and mathematical integrity. No other theory of quantum mechanics comes even close. Yet anyone curious enough to walk this road to quantum mechanics is soon being confused by many misleading signposts that (...) have been put up, and not just by its detractors, but unfortunately enough also by some of its proponents. This paper outlines a road map to help navigate ones way. (shrink)

Biographical Information: The author is a Professor of Physics at New York University. He has lectured widely in Europe and Latin America, including at the Università di Roma ``La Sapienza'' and, during the Sandinista government, at the Universidad Nacional Autónoma de Nicaragua. He is co-author with Roberto Fernández and Jürg Fröhlich of Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory (Springer, 1992).

This paper presents a realistic, stochastic, and local model that reproduces nonrelativistic quantum mechanics results without using its mathematical formulation. The proposed model only uses integer-valued quantities and operations on probabilities, in particular assuming a discrete spacetime under the form of a Euclidean lattice. Individual particle trajectories are described as random walks. Transition probabilities are simple functions of a few quantities that are either randomly associated to the particles during their preparation, or stored in the lattice nodes they visit (...) during the walk. QM predictions are retrieved as probability distributions of similarly-prepared ensembles of particles. The scenarios considered to assess the model comprise of free particle, constant external force, harmonic oscillator, particle in a box, the Delta potential, particle on a ring, particle on a sphere and include quantization of energy levels and angular momentum, as well as momentum entanglement. (shrink)

We introduce nebit, a classical bit with a signed probability distribution. We study its properties and basic transformations that can be applied to it. Then, we introduce a simple dynamical model – a classical random walk supplemented with nebits. We show that such a model exhibits some counterintuitive non-classical properties and that it can achieve or even exceed the speedup of Grover’s quantum search algorithm. The proposed classical dynamics never reveals negativity of nebits and thus we do not (...) need any operational interpretation of negative probabilities. We argue that nebits can be useful as a measure of non-classicality as well as a tool to find new quantum algorithms. (shrink)

Science has made a mighty advance since it originated in ancient Greece more than 2500 years ago. Yet we still live in Plato's cave today; we think everything around us moves continuously, but continuous motion is merely a shadow of real motion. This book will lead you to walk out the cave along a logical and comprehensible road. After passing Zeno's arrow, Newton's inertia, Einstein's light, and Schrodinger's cat, you will reach the real world, where every thing in the (...) universe, whether it is an atom or a ball or even a star, ceaselessly jumps in a random and discontinuous way. In a famous metaphor, God does play dice with the universe. Discovering motion is not continuous but discontinuous and random is like finding the Earth is not at rest but moving. The new discovery may finally solve Zeno's paradoxes and the quantum puzzle, and it will lead to a profound shift in our world view. (shrink)

The central limit theorem has been found to apply to random vectors in complex Hilbert space. This amounts to sufficient reason to study the complex–valued Gaussian, looking for relevance to quantum mechanics. Here we show that the Gaussian, with all terms fully complex, acting as a propagator, leads to Schrödinger’s non-relativistic equation including scalar and vector potentials, assuming only that the norm is conserved. No physical laws need to be postulated a priori. It thereby presents as a process of (...) irregular motion analogous to the real random walk but executed under the rules of the complex number system. There is a standard view that Schrödinger’s equation is deterministic, whereas wavefunction “collapse” is probabilistic —we have now a demonstrated linkage to the central limit theorem, indicating a stochastic picture at the foundation of Schrödinger’s equation itself. It may be an example of Wheeler’s “It from bit” with “No underlying law”. Reasons for the primary role of \ are open to discussion. The present derivation is compared with recent reconstructions of the quantum formalism, which have the aim of rationalizing its obscurities. (shrink)

Stochastic dynamical reduction for the case of spin-z measurement of a spin-1/2 particle describes a random walk on the spin-z axis. The measurement’s result depends on which of the two points: spin-z=±ħ/2 is reached first. Born’s rule is recovered as long as the expected step size in spin-z is independent of proximity to endpoints. Here, we address the questions raised by this description: (1) When is collapse triggered, and what triggers it? (2) Why is the expected step size in (...) spin-z (as opposed to polar angle) independent of proximity to endpoints? (3) Why does spin “lock” in the vertical directions? The difficulties associated with (1) are rooted, as is Bell’s theorem, in the time-asymmetric assumption that the present distribution over hidden variables is independent of future settings. We believe, a priori of any of the experiments of modern physics, that such a time-asymmetric assumption is dubious when probing the microscopic scale. As for (2) and (3), they are simultaneously resolved by abandoning the fundamental distinction drawn between spin and spatial angular momentum, and by appealing to very tiny (in both magnitude and spatial extent) but numerous patches of magnetic noise in the Stern-Gerlach’s field. (shrink)

A simple random walk model has been shown by Gaveauet al. to give rise to the Klein-Gordon equation under analytic continuation. This absolutely most probable path implies that the components of the Dirac wave function have a common phase; the influence of spin on the motion is neglected. There is a nonclassical path of relative maximum likelihood which satisfies the constraint that the probability density coincide with the quantum mechanical definition. In three space dimensions, and in the presence (...) of electromagnetic interaction, the Lagrangian for this optimal, nonclassical path coincides with the Lagrangian of the Dirac particle. The nonrelativistic, or diffusion, limit is shown to be a formal consequence of Einstein's dynamical equilibrium condition; the continuity equation reduces to the same diffusion equation derived from Schrödinger's equation. The relativistic, massless limit, which would describe a neutrino, is comparable (in the sense of analytic continuation) to a nonviscous liquid whose molecules possess internal degrees of freedom. (shrink)

In the new physics and in the new field of cosmometry, 1 it is the fundamental pattern that results in the motion from which all is created. Everything starts with the point of infinite potential. The tetrahedron at the point gives birth to the cuboctahedron ; its motion and structure result in the creation of the torus structure. The torus structure is self-referencing on a moment by moment basis since all must pass through the center. But isn't self-referencing the basis (...) for consciousness? It is said that all of creation has awareness, but at different levels. We know plants are aware of threats and of death to other living creatures by the work of Cleve Backster. We know we influence random number generators from the PEAR studies at Princeton. We know baby chicks will influence the movement of robots programed to do a random walk from the work of Rene Peoc'h. Quantum physics has embraced geometry with the work in the equations which explain the Feynman diagrams where particles come in and out of existence; those equations form a structure called the Amplituhedron - which is a quarter of a star tetrahedron. We also know that the tetrahedron can form the star tetrahedron and that each point of the star tetrahedron can form its own star tetrahedron, which can go on infinitely. That is, there is infinity in the finite. As in the fractal and holographic universe, each point or tetrahedron is connected to every other point. If each point has awareness due to formation of the torus, then Hermes teaching of "As above, as below" has meaning in the torus structure. If the torus is the fundamental unit of self-reference, is that the fundamental unit from which consciousness arises? The torus or double torus appears to be fundamental to all of creation - from galaxies to planets to atoms to photons. (shrink)

J.N. Mohanty is one of the most distinguished philosophers India has produced in recent years. Written mostly in the 21st century, this collection deals with the nature of consciousness and its interpretation. Starting from the concept of consciousness as an event in time, he investigates the notion of consciousness as a social phenomenon. The temporality and historicity of consciousness are also emphasized. He examines experiences from various walks of life, from religion to quantum physics, from interpretation of perception to (...) that of sacred Indian texts to demonstrate his theory. The introduction locates Mohanty's work in the larger context of philosophical discourses in the West and India. (shrink)

We critically examine the role and status probabilities, as they enter via the Quantum Equilibrium Hypothesis, play in the standard, deterministic interpretation of deBroglie’s and Bohm’s Pilot Wave Theory (dBBT), by considering interpretations of probabilities in terms of ignorance, typicality and Humean Best Systems, respectively. We argue that there is an inherent conflict between dBBT and probabilities, thus construed. The conflict originates in dBBT’s deterministic nature, rooted in the Guidance Equation. Inquiring into the latter’s role within dBBT, we find (...) it explanatorily redundant (in particular for dBBT’s solution of the Measurement Problem, which only requires that the corpuscles possess definite positions), and subject to a number of difficulties. Following a suggestion from Bell, we propose to abandon the Guidance Equation, whilst retaining dBBT’s point particle-based Primitive Ontology, with positions as local beables. The resultant theory, which we identify as a stochastic, minimally deBroglie-Bohmian theory, describes a random walk through configuration space. Its probabilities, we propose, are best understood as dispositions of possible corpuscle configurations to manifest themselves. We subsequently evaluate the merits of sdBBT vis-à-vis dBBT, such as the justification of the Symmetrisation Postulate and the violation of the Action-Reaction Principle. Not only is sdBBT an attractive Bohmian theory that, whilst retaining dBBT's virtues, overcomes many of its shortcomings; it also sparks off a number of exciting follow-up questions, such as a comparison between sdBBT and other stochastic hidden-variable theories, e.g. Nelson Stochastics, or between sdBBT and the Everett interpretation. (shrink)

Weyl famously argued that if space were discrete, then Euclidean geometry could not hold even approximately. Since then, many philosophers have responded to this argument by advancing alternative accounts of discrete geometry that recover approximately Euclidean space. However, they have missed an importantly flawed assumption in Weyl’s argument: physical geometry is determined by fundamental spacetime structures independently from dynamical laws. In this paper, I aim to show its falsity through two rigorous examples: random walks in statistical physics and quantum (...) mechanics. (shrink)

continent. 1.3 (2011): 149-155. The world is teeming. Anything can happen. John Cage, “Silence” 1 Autonomy means that although something is part of something else, or related to it in some way, it has its own “law” or “tendency” (Greek, nomos ). In their book on life sciences, Medawar and Medawar state, “Organs and tissues…are composed of cells which…have a high measure of autonomy.”2 Autonomy also has ethical and political valences. De Grazia writes, “In Kant's enormously influential moral philosophy, autonomy (...) , or freedom from the causal determinism of nature, became prominent in justifying the human use of animals.”3 One of the oldest uses of autonomy in English is a description of the French civil war from the late sixteenth century: “Others of the…rebellion entred in counsell, whether they ought to admit the King vpon reasonable conditions, specially hauing their autonomy.”4 Life, and in particular human life, and in particular human politics, is well served by the usages of autonomy . What about the rest of reality, however? Should it be thought of, if it's even considered real and mind-independent, as pure stuff for the manipulation or decorative tastes of truly autonomous beings? We tend to think of things such as paperweights and iPhones as mere tools of human design and human use. To use them is to cause them to exist as fully and properly as they can. But according to Martin Heidegger, when a tool such as a paperweight is used, it disappears, or withdraws ( Entzug ). We are preoccupied with copying the page that the paperweight is holding down. We are concerned with an essay deadline, and the paperweight simply disappears into this general project. If the paperweight slips, or if the iPhone freezes, we might notice it. All of a sudden it becomes vorhanden (present-at-hand) rather than zuhanden (ready-to-hand).5 Yet Heidegger is unable to draw a meaningful distinction between what happens to a paperweight when it slips from the book I'm copying from and what happens to the paperweight when it presses on the still resilient pages of the thick paperback itself. Further still and related to this point, even when I am using the paperweight as part of some general task, I am not using the entirety of the paperweight as such. My project itself selects a thin slice of paperweight-being for the purposes of holding down a book. Even when it is zuhanden the paperweight is withdrawn. Graham Harman is the architect of this way of thinking.6 Harman discovered a gigantic coral reef of withdrawn entities beneath the Heideggerian submarine of Da-sein, which itself is operating at an ontological depth way below the choppy surface of philosophy, beset by the winds of epistemology, and infested with the sharks of materialism, idealism, empiricism and most of the other isms that have defined what is and what isn't for the last several hundred years. At a moment when the term ontology was left alone like a piece of well chewed old chewing gum that no one wants to have anything to do with, object-oriented ontology (OOO) has put it back on the table. The coral reef isn't going anywhere and once you have discovered it, you can't un-discover it. And it seems to be teeming with strange facts. The first fact is that the entities in the reef—we call them “objects” somewhat provocatively—constitute all there is: from doughnuts to dogfish to the Dog Star to Dobermans to Snoop Dogg. People, plastic clothes pegs, piranhas and particles are all objects. And they are all pretty much the same, at this depth. There is not much of a distinction between life and non-life (as there isn't in contemporary life science). And there is not much of a distinction between intelligence and non-intelligence (as there is in contemporary artificial intelligence theory). A lot of these distinctions are made by humans, for humans (anthropocentrism). And the concept autonomy has come into play in policing such distinctions. In this essay I shall to try to liberate autonomy for the sake of nonhumans. I shall do so by parsing carefully the title, which is taken from Hakim Bey's work The Temporary Autonomous Zone .8 First we shall explore the term autonomous . Then we shall explore what the full meaning of zone is. Finally, we shall investigate what temporary means. Each of these terms is of great value. An object withdraws from access. This means that its very own parts can't access it. Since an object's parts can't fully express the object, the object is not reducible to its parts. OOO is anti-reductionist. But OOO is also anti-holist. An object can't be reduced to its “whole” either, “reduced upwards” as it were. The whole is not greater than the sum of its parts. So we have a strange irreductionist situation in which an object is reducible neither to its parts nor to its whole. A coral reef is made of coral, fish, seaweed, plankton and so on. But one of these things on its own doesn't embody part of a reef. Yet the reef just is an assemblage of these particular parts. You can't find a coral reef in a parking lot. In this way, the vibrant realness of a reef is kept safe both from its parts and from its whole. Moreover, the reef is safe from being mistaken for a parking lot. Objects can't be reduced to tiny Lego bricks such as atoms that can be reused in other things. Nor can be reduced upwards into instantiations of a global process. A coral reef is an expression of the biosphere or of evolution, yes; but so is this sentence, and we ought to be able to distinguish between coral reefs and sentences in English. The preceding facts go under the heading of undermining . Any attempt to undermine an object—in thought, or with a gun, or with heat, or with the ravages of time or global warming—will not get at the withdrawn essence of the object. By essence is meant something very different from essentialism . This is because essentialism depends upon some aspect of an object that OOO holds to be a mere appearance of that object, an appearance-for some object. This reduction to appearance holds even if that object for which the appearance occurs is the object itself! Even a coral reef can't grasp its essential coral reefness. In essentialism, a superficial appearance is taken for the essence of a thing, or of things in general. In thinking essentialism we may be able to discern another way of avoiding OOO. This is what Harman has christened overmining .? The overminer decides that some things are more real than others: say for example human perception. Then the overminer decides that other things are only granted realness status by somehow coming into the purview of the more real entity. When I measure a photon, when I see a coral reef, it becomes what it is. But when I measure a photon, I never measure the actual photon. Indeed, since at the quantum scale to measure means “to hit with a photon or an electron beam” (or whatever), measurement, perception ( aisthesis ), and doing become the same. What I “see” are deflections, tracks in a diffusion cloud chamber or interference patterns. Far from underwriting a world of pure illusion where the mind is king, quantum theory is one of the very first truly rigorous realisms, thinking its objects as irreducibly resistant to full comprehension, by anything.9 So far we have made objects safe from being swallowed up by larger objects and broken down into smaller objects—undermining. And so far we have made objects safe from being mere projections or reflections of some supervenient entity—overmining. That's quite a degree of autonomy. Everything in the coral reef, from the fish to a single coral lifeform to a tiny plankton, is autonomous. But so is the coral reef itself. So are the heads of the coral, a community of tiny polyps. So is each individual head. Each object is like one of Leibniz's monads, in that each one contains a potentially infinite regress of other objects; and around each object, there is a potentially infinite progress of objects, as numerous multiverse theories are now also arguing. But the infinity, the uncountability, is more radical than Leibniz, since there is nothing stopping a group of objects from being an object, just as a coral reef is something like a society of corals. Each object is “a little world made cunningly” (John Donne).10 We are indeed approaching something like the political valance of autonomy . The existence of an object is irreducibly a matter of coexistence. Objects contain other objects, and are contained “in” other objects. Let us, however, explore further the ramifications of the autonomy of objects. We will see that this mereological approach (based on the study of parts) only gets at part of the astonishing autonomy of things. Yet there are some more things to be said about mereology before we move on. Consider the fact that since objects can't be undermined or overmined, it means that there is strictly no bottom object . There is no object to which all other objects can be reduced, so that we can say everything we want to say about them, hypothetically at least, based on the behavior of the bottom object. The idea that we could is roughly E.O Wilson's theory of consilience .11 Likewise, there is no object from which all things can be produced, no top object . Objects are not emanations from some primordial One or from a prime mover. There might be a god, or gods. Suppose there were. In an OOO universe even a god would not know the essential ins and outs of a piece of coral. Unlike even some forms of atheism, the existence of god (or nonexistence) doesn't matter very much for OOO. If you really want to be an atheist, you might consider giving OOO a spin. If there is no top object and no bottom object, neither is there a middle object . That is, there is no such thing as a space, or time, “in” which objects float. There is no environment distinct from objects. There is no Nature (I capitalize the word to reinforce a sense of its deceptive artificiality). There is no world, if by world we mean a kind of “rope” that connects things together.12 All such connections must be emergent properties of objects themselves. And this of course is well in line with post-Einsteinian physics, in which spacetime just is the product of objects, and which may even be an emergent property of a certain scale of object larger than 10?¹?cm).13 Objects don't sit in a box of space or time. It's the other way around: space and time emanate from objects. How does this happen? OOO tries to produce an explanation from objects themselves. Indeed, the ideal situation would be to rely on just one single object. Otherwise we are stuck with a reality in which objects require other entities to function, which would result in some kind of undermining or overmining. We shall see that we have all the fuel we need “inside” one object to have time and space, and even causality. We shall discover that rather than being some kind of machinery or operating system that underlies objects, causality itself is a phenomenon that floats ontologically “in front of” them. In so doing, we will move from the notion of autonomy and begin approaching a full exploration of the notion of zone , which was promised at the outset of this essay. Since an object is withdrawn, even “from itself,” it is a self-contradictory being. It is itself and not-itself, or in a slightly more expanded version, there is a rift between essence and appearance within an object (as well as “between” them). This rift can't be the same as the clichéd split between substance and accidents , which is the default ontology. On this view, things are like somewhat boring cupcakes with somewhat less boring sugar sprinkles on them of different colors and shapes. But on the OOO view, what is called substance is just another limited slice of an object, a way of apprehending something that is ontologically fathoms deeper. What is called substance and what is called accidence are just on the side of what this essay calls appearance. The rift (Greek, chorismos ) between essence and appearance means that an object presents us with something like what in logic is known as the Liar: some version of the sentence “This sentence is false.” The sentence is true, which means that it is a lie, which means that it is false. Or the sentence is false, which means that it is telling the truth, which means that it is true. Now logic since Aristotle has tried desperately to quarantine such beasts in small backwaters and side streets so that they don't act too provocatively.14 But if OOO holds, then at least one very significant thing in the universe is both itself and not-itself: the object. An object is p ? ¬p. To cope with this fact, we shall need some kind of paraconsistent or even fully dialetheic logic, one that is not allergic to dialetheias (double-truthed things). Yet if we accept that objects are dialetheic, p ? ¬p, we can derive all kinds of things easily from objects. Consider the fact of motion. If objects only occupy one location “in” space at any “one” time, then Zeno's paradoxes will apply to trying to think how an object moves. Yet motion seems like a basic, simple fact of our world. Either everything is just an illusion and nothing really moves at all (Parmenides). Or objects are here and not-here “at the same time.”15 This latter possibility provides the basic setup for all the motion we could wish for. Objects are not “in” time and space. Rather, they “time” (a verb) and “space.” They produce time and space. It would be better to think these verbs as intransitive rather than transitive, in the manner of dance or revolt . They emanate from objects, yet they are not the object. “How can we know the dancer from the dance?” (Yeats).16 The point being, that for there to be a question, there must be a distinction—or there must not be (p ? ¬p).17 It becomes impossible to tell: “What constitutes pretense is that, in the end, you don't know whether it's pretense or not.”18 In this notion of the emergence of time and space from an object we can begin to understand the term zone . Zone can mean belt , something that winds around something else. We talk of temperate zones and war zones. A zone is a place where a certain action is taking place: the zone winds around, it radiates heat, bullets fly, armies are defeated. To speak of an autonomous zone is to speak of a place that a certain political act has carved out of some other entity. Cynically, Tibet is called TAR, the Tibetan Autonomous Region, for this very reason. In this phrase, Region tries to emulate zone : it sounds as if the place has its own rules, but of course, it is very much under the control of China. What action is taking place? “[N]ot something that just is what it is, here and now, without mystery, but something like a quest…a tone on its way calling forth echoes and responses…water seeking its liquidity in the sunlight rippling across the cypresses in the back of the garden.”19 If as suggested earlier there is no functional difference between substance and accidence; if there is no difference between perceiving and doing; if there is no real difference between sentience and non-sentience—then causality itself is a strange, ultimately nonlocal aesthetic phenomenon. A phenomenon, moreover, that emanates from objects themselves, wavering in front of them like the astonishingly beautiful real illusion conjured in this quotation of Alphonso Lingis. Lingis's sentence does what it says, casting a compelling, mysterious spell, the spell of causality, like a demonic force field. A real illusion: if we knew it was an illusion, if it were just an illusion, it would cease to waver. It would not be an illusion at all. We would be in the real of noncontradiction. Since it is like an illusion, we can never be sure: “What constitutes pretense…” A zone is what Lingis calls a level . A zone is not entirely a matter of “free will”: this concept has already beaten down most objects into abject submission. Objects are far more threateningly autonomous, and sensually autonomous, than the Kantian version of autonomy cited in the first paragraph of this essay. A zone is not studiously decided upon by an earnest committee before it goes into action. One of its predominant features is that it is already happening . We find ourselves in it, all of a sudden, in the late afternoon as the shadows lengthen around a city square, giving rise to an uncanny sensation of having been here before. Objects emit zones. Wherever I find myself a zone is already happening, an autonomous zone. It is the nonautonomous zones that are impositions on what is already the case. Or rather, these zones are autonomous zones that exclude and police. They are brittle. Every object is autonomous, but some objects try to maintain themselves through rigidity and brittleness, like (and such as) a police state. Paradoxically, the more rigidly one tries to exclude contradiction, the more virulent become the dialetheias that are possible. I can get around “This sentence is false” by imagining that there are metalanguages that explain what counts as a sentence. Then I can decide that this isn't a real sentence. This is basically Alfred Tarski's strategy, since he invented the notion of metalanguage specifically to cope with dialetheias.20 For example we might claim that sentences such as “This sentence is false” are neither true nor false. But then you can imagine a strengthened version of the Liar such as: “This sentence is not true”; or “This sentence is neither true nor false.” And we can go on adding to the strengthened Liar if the counter-attack tries to build immunity by specifying some fourth thing that a sentence can be besides true, false, and neither true nor false: “This sentence is false, or neither true nor false, or the fourth thing.” And so on.21 It seems as if language becomes more brittle the more it tries to police the Liars of this world. Why? I believe that this increasing brittleness is a symptom of a deep fact about reality. What is this deep fact? Simply that there are objects, that these objects are withdrawn, and that they are walking contradictions. This means indeed that (as Lacan put it) “there is no metalanguage,” since a metalanguage would function as a “middle object” that gave coherency and evenness to the others.22 Since there is no metalanguage, there is no rising above the disturbing illusory play of causality. This may even have political implications: no global critique is therefore possible, and attempts to smooth out or totalize are doomed to fail. To think the zone is to think the notion of temporary , which we shall now begin to discuss in greater detail. The zone is not in time: rather it “times.” But because a zone is an emanation of an object, it is based on a wavering fragility, since objects are p ? ¬p. When an object is born, that means that it has broken free of some other object. An object can be born because it and other objects are fragile. If not, no movement would be possible. Objects contain the seeds of their own destruction, a dialetheic sentence that says something like “This sentence cannot be proved.” Kurt Gödel argues that every true system of propositions contains at least one sentence that the system cannot prove. In order to be true, the system must have a minimum incoherence. To be real, it has to be fragile. Imagine a record player. Now imagine a record called I Cannot Be Played on This Record Player . When you play it on this record player, it produces sympathetic vibrations that cause the record player to shudder apart. No matter how many defense mechanisms you build in, there will always be the possibility of at least one record that destroys the record player.23 That is what being physical is. An object is inherently fragile because it is both itself and not-itself. When the rift between appearance and essence collapses, that is called destruction, ending, death. When an object breaks, several new objects are born. An opera singer sings a loud note in tune with the resonant frequency of a wine glass. (See the movie included below.) The singing is a zone, an autonomous level of intensity, opening a rift between appearance and essence. The glass ripples—for a moment it is nakedly a glass and a not-glass—almost as if it were having an orgasm, a little death. It is caught in the rift of the singing. Then its structure can't handle the coherence of the sound waves, and it breaks. It is incoherence and inconsistency that is the mark of existence, not consistency and noncontradiction. When things break or die, they become coherent. Essence disappears into appearance. I become the memories of friends. A glass becomes a dancing wave. Instantly, there are glass fragments, new temporary autonomous zones. The fragments have broken free from the glass. They are no longer its parts, but emanate their own time and space, becoming perhaps accidental weapons as they bury themselves in my flesh. Thus Hakim Bey's instructions on creating temporary autonomous zones oscillate disturbingly between performance art and politics, circus clowning and revolution. To play with the aesthetic is to play with causality, to rip from the sensual ether emanating from things new regions, new zones. Anarchist politics is the creation of fresh objects in a reality without a top or a bottom object, or for that matter a middle object: Everything in nature is perfectly real including consciousness, there's absolutely nothing to worry about. Not only have the chains of the Law been broken, they never existed; demons never guarded the stars, the Empire never got started, Eros never grew a beard. … There is no becoming, no revolution, no struggle, no path; already you're the monarch of your own skin—your inviolable freedom waits to be completed only by the love of other monarchs: a politics of dream, urgent as the blueness of sky.24 Bey imagines that this is because chaos is a primordial “undifferentiated oneness-of-being.” A Parmenides or a Spinoza or a Laruelle would read this a certain way. Individual objects, or decisions to talk about this rather than that, are just maggot-like things crawling around on the surface of the giant cheese of oneness.25 Yet he also describes chaos as “Primordial uncarved block, sole worshipful monster, inert & spontaneous, more ultraviolet than any mythology.” This image is of an inconsistent object, not of an undifferentiated field. An object, indeed, that can be distinguished from other things. If not, then the first part of The Temporary Autonomous Zone , subtitled “The Broadsheets of Ontological Anarchism,” is a kind of onto-theology. Onto-theology proclaims that some things are more real than others. Bey, however, is writing poetically, and thus ambiguously. We are at liberty to read “undifferentiated oneness-of-being” as something like the irreducibility of a thing to its parts and so forth (undermining and overmining). This certainly seems closer to the language in the following paragraph: “There is no becoming … already you're the monarch of your own skin.”26 On this view, there is no difference between art and politics: “When ugliness, poor design & stupid waste are forced upon you, turn Luddite, throw your shoe in the works, retaliate.” Since Romanticism this has been the war cry of the vanguard artist.27 To say to is to fall prey to the tired axioms of the avant-garde, and we think we know how the game goes. But OOO is not simply a way to advocate “new and improved” versions of this shock-the-bourgeoisie boredom. Bey's text is certainly full enough of that. Rather, since causality as such is aesthetic, and since nonhumans are not that different from humans, the new approach would be to form aesthetic–causal alliances with nonhumans. These alliances would have to resist becoming brittle, whether that brittleness is right wing (authoritarianism) or left wing (the endless maze of critique). No “ism,” especially not the ultimate forms, nihilism and cynicism, is in any sense effective at this point. All forms of brittleness are based on the mistaken assumption that there is a metalanguage and that therefore “Anything you can do, I can do meta.” I will not be listing any approaches here, as Bey does. Such lists and manifestos belong to the vanguardism that no longer works. Why? Not because of some marvelous revolution in human consciousness, but because nonhumans have so successfully impinged upon human social, psychic and aesthetic space. It is the time after the end of the world. That happened in 1945, when a thin layer of radioactive materials was deposited in Earth's crust. Geology now calls it this era the Anthropocene . Ironically, this period, named after humans, is the moment at which even the most thick headed of us make decisive contact with nonhumans, from mercury in our blood to manta rays to magnesium. Richard Dawkins, Pat Robertson and Lady Gaga all have to deal with global warming and mass extinction, somehow. We now live in an Age of Asymmetry marked by a skewed, spiraling relationship between vast knowledge and vast nonhuman things—both become vaster and vaster because of one another and for the same reasons.28 This means that coming up with the perfect attitude or the perfect aesthetic prescription just won't work any more. Even the most hardened anthropocentrist now has to pay through the nose for basic food supplies, and has to use more sunscreen. Whether he knows it or acknowledges it, he is already acting with regard towards nonhumans. There is nothing special to think, no special critique that will get rid of the stains of coexistence. The problem won't fit into the well-established modern boxes, which is why the “mystical,” “spiritual” quality of Bey's prose is welcome. Of course, when I put it this way, you may immediately close off and decide that I am talking about perfect attitudes after all, or something outside of politics, or other ways that the radical left marshals to police its thinking of the nonhuman. Because that is what is really at stake in all this: the nonhuman in its coexistence with the human—bosons, gods, clouds, spirits, lifeforms, experiences, the sunlight rippling across the cypresses. Bey begins to get at this in a Latour litany in the second part of The Temporary Autonomous Zone , “The Assassins”: Pomegranate, mulberry, persimmon, the erotic melancholy of cypresses, membrane-pink shirazi roses, braziers of meccan aloes & benzoin, stiff shafts of ottoman tulips, carpets spread like make-believe gardens on actual lawns—a pavilion set with a mosaic of calligrammes—a willow, a stream with watercress—a fountain crystalled underneath with geometry— the metaphysical scandal of bathing odalisques, of wet brown cupbearers hide-&-seeking in the foliage—“water, greenery, beautiful faces.”29 This will be conveniently dismissed as orientalism. If we're never allowed to escape the crumbling prison of modernity for fear of imperialism there is truly no hope. In a similar way, the fear of anthropocentrism and anthropomorphism is very often staged from a place that just is anthropocentrism .30 Critique turns into ressentiment . An object radiates a zone that is aesthetic and therefore causal. Because objects “time” they are temporary. Not because they exist “in” time that eventually gets the better of them. Their very existence implies the possibility of their non-existence. Since objects are not consistent, they can cease to exist. But nothing, no one, will ever be able to insert a blade between appearance and existence, even thought there is a rift there. Now that's what I call autonomy. NOTES 1. John Cage, Silence: Lectures and Writings (Middletown, CT: Wesleyan University Press, 1973), 96. 2. P. B. Medawar and J. S. Medawar, The Life Science: Current Ideas in Biology (London: Wildwood House, 1977), 8. 3. David DeGrazia, Animal Rights: A Very Short Introduction (Oxford: Oxford University Press, 2002), 5. 4. Antony Colynet, A True History of the Civil Warres in France (London, 1591), 480. 5. Martin Heidegger, Being and Time , tr. Joan Stambaugh (Albany, N.Y: State University of New York Press, 1996) 62–71. 6. Graham Harman, Tool-Being: Heidegger and the Metaphysics of Objects (Peru, IL: Open Court, 2002). 7. Hakim Bey, The Temporary Autonomous Zone (Brooklyn: Autonomedia, 1991). 8. Graham Harman, The Quadruple Object (Ripley: Zero Books, 2011), 7–18. 9. This is not the place to get into an argument about quantum theory, but I have argued that quanta also do not endorse a world that I can't speak about because it is only real when measured. This world is that of the reigning Standard Model proposed by Niels Bohr and challenged by De Broglie and Bohm (and now the cosmologist Valentini, among others). See Timothy Morton, “Here Comes Everything: The Promise of Object-Oriented Ontology,” Qui Parle 19.2 (Spring–Summer, 2011), 163–190. 10. John Donne, Holy Sonnets 15, in The Major Works: Including Songs and Sonnets and Sermons , ed. John Carey (Oxford: Oxford University Press, 2009). 11. Edward O. Wilson, Consilience: The Unity of Knowledge (New York: Knopf, 1998). 12. Martin Heidegger, What Is a Thing? (Washington: Regnery, 1968), 243. 13. Albert Einstein, Relativity: The Special and the General Theory (London: Penguin, 2006); Petr Horava, “Quantum Gravity at a Lifshitz Point,” arXiv:0901.3775v2 [hep-th]. 14. Graham Priest, In Contradiction (Oxford University Press, 2006), passim: the most notable recent quarantine officers have been Tarski, Russell, and Frege. 15. Priest, In Contradiction , 172–181. 16. William Butler Yeats, “Among School Children,” Collected Poems , ed. Richard J. Finneran (New York: Scribner, 1996). 17. Paul de Man, “Semiology and Rhetoric,” Diacritics 3.3 (Autumn, 1973), 27–33 (30). 18. Jacques Lacan, Le seminaire, Livre III: Les psychoses (Paris: Editions de Seuil, 1981), 48. See Slavoj Zizek, The Parallax View (Cambridge, Mass.: MIT Press, 2006), 206. 19. Alphonso Lingis, The Imperative (Bloomington: Indiana University Press, 1998), 29. 20. Priest, In Contradiction , 9–27. 21. See Graham Priest and Francesco Berto, “ Dialetheism ,” The Stanford Encyclopedia of Philosophy (Summer 2010 Edition), ed. Edward N. Zalta. 22. Jacques Lacan, Écrits: A Selection , tr. Alan Sheridan (London: Tavistock, 1977), 311. 23. The analogy can be found at length in Douglas Hofstadter, “Contracrostipunctus,” Gödel, Escher, Bach: An Eternal Golden Braid (New York: Basic Books, 1999), 75–81. 24. Bey, “ Chaos: The Broadsheets of Ontological Anarchism ,” Temporary Autonomous Zone . 25. This is closest to the language of François Laruelle in Philosophies of Difference: A Critical Introduction to Non-Philosophy (New York: Continuum, 2011) 179. 26. Bey, “ Chaos: The Broadsheets of Ontological Anarchism ,” Temporary Autonomous Zone . 27. Peter Bürger, Theory of the Avant Garde (Minneapolis: University of Minnesota Press, 1984). 28. For further discussion see Timothy Morton, “From Modernity to the Anthropocene: Ecology and Art in the Age of Asymmetry,” The International Social Science Journal 209 (forthcoming). 29. Bey, “ The Assassins ,” Temporary Autonomous Zone . 30. Timothy Morton, The Ecological Thought (Cambridge, Mass.: Harvard University Press, 2010), 75–76. (shrink)

Images from the nanoworld are not at all disorienting or bewildering, as one might expect from contemplating the strange and surprising features that arise where classical physics comes to an end and quantum effects begin to appear. Instead, we see the traces of explorers in a world that appears to be infinitely malleable. The paper shows that the capability to visualize processes and phenomena at the nanoscale is a matter not only of research technologies and the advancement of observational (...) techniques, but also a matter of developing a visual setting that exhibits knowledge and practice, surprise and control. The surface is such a stage and so is the landscape: they invite us to become immersed and move around like someone who goes for a walk. In order to appreciate this pictorial, as well as discursive, setting we turn to “strollology” as a method of reconstructing the world that is experienced in the manner of walking. With the notion of imagescape this method is applied to the modes of partaking in the nanoworld and its specific features. Rather than articulate theoretical or metaphysical presuppositions these nanoscapes serve to validate the very idea of nanotechnology. (shrink)

The author is a Professor of Physics at New York University. In the summers of 1986{88 he taught mathematics at the Universidad Nacional Autonoma de Nicaragua. He is co-author with Roberto Fernandez and Jurg Frohlich of Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory (Springer, 1992), and co-author with Jean Bricmont of the forthcoming Les impostures scientiques des philosophes (post-)modernes.

continent. 1.4 (2011): 279—285. Concerning its Transitive Nature, the Conversion of Native Americans of Spanish Colonial California, Indoctrinated Catholicism, & the Creation There’s no direct archaeological evidence that Jesus ever existed. 1 I memorized the Act of Contrition. I don’t remember it now, except the beginning: Forgive me Father for I have sinned . . . This was in preparation for the Sacrament of Holy Reconciliation, where in a confessional I confessed my sins to Father Scott, who looked like Jesus, (...) at least in Western cultural representations of Jesus since the middle ages, and if Jesus put on a few pounds. Father Scott was long-haired, redheaded, bearded, chubby, and tall. When he left church with the procession of altar servers and Eucharistic ministers, yelling, “Sing a Good Song Unto the Lord,” he smiled, hands folded, and he gazed over his parishioners, and bounced along. For four months every year he lived among the Crow Nation in Montana, where towards the end of his tenure at Our Lady of Refuge, they adopted him as an honorary member of their tribe. * This is the prayer we chanted, holding hands, every night before dinner: Bless us oh Lord, for these our gifts, which we are about to receive, our bounty through Christ, our Lord, Amen. Then we all said, God bless the cook! When we were with my grandparents, Grandpa said, God bless Chicky, and Holly, and Harvey, and Boots—all the dead dogs. * My sister tells me that she sits next to a handsome man on a flight across the country. After chitchat, she withdraws her book. She’s reading Kevin Sampsell’s A Common Pornography . After a few moments, the handsome man also reads from his book—his leather-bound Bible. Sister thinks, Oh, Jesus—too bad. She falls asleep. Later, settled in Nashville, she opens her volume and out falls a Jesus-covered card that reads, You can still find God and Salvation! Because that handsome God-fearing young man saw that word— pornography . * I suppose Father Jim’s dark hair, beard, and glasses made me think doctoral-ly of him. He called while I was in the midst of a breakup, after I’d twice attempted suicide, and my mother was desperate for help. She somehow found and phoned him. And Jim, now years out of Our Lady of Refuge’s parish, twenty years since my baptism, years even since he’d left the priesthood and the Catholic faith, still made the effort to bring me back into the fold. He said, “Have you seen a priest?” I did not respond, as I was more shocked to hear his voice than anything, so I said, “How are you, Father Jim? Sorry, I guess I shouldn’t call you ‘Father.’” And I said, “Why did you leave the priesthood? Do you have a girlfriend?” He said that I should call him just “Jim.” He said, “Do you need someone to talk to?” I said, “Not really.” He said, “Call your mother; she’s worried about you.” That was the last time I talked to Father Jim. * Mother let me know just how disappointed Jesus was. I cried and cried, and said I was sorry. Into my hands she placed my missal, ordered forty Rosaries. She said next Saturday I would go to confession. I hated confession. Who wouldn’t? * I realize, of course, that this page is a kind of confessional. * The Kumeyaay, Ipai, Tipai, Chumash, Esselen, Rumsen—all Native Americans of Alta California—shared similarities in their religions. Southern Californian tribes made use of Datura, or jimpson weed, a hallucinogen, for religious rituals. In the creation, God made brother sky and sister earth. Brother and sister mated, and sister gave birth to all things on Earth, including people, but it was difficult to distinguish people from all other aspects of Earth because everything was alive: granite and obsidian, the Pacific and its waves, the San Diego and Los Angeles Rivers. Wiyot—a hero—was very powerful, born from lightning, the son of the Creator and a virgin. When Wiyot thought that human women’s legs were more beautiful than Frog’s, Frog became jealous and poisoned Wiyot. The dying Wiyot went to all the people’s villages, and he distributed his power among them. He said, “When I die, I should be cremated.” The people built the fire and funeral pyre. When the fire was ready, and the people about to place Wiyot’s body upon it, Coyote came and snatched away Wiyot’s heart. * My friend Nick told me once how he ate some jimpson weed and that he hallucinated for three days. His family took a road trip and, while driving over the Sierra Nevada mountains, he kept seeing dinosaurs roaming the open meadows and charging down snowy slopes. So it’s no wonder that Native Americans who ingested this plant would have developed religion. * Walking Castroville’s streets after school I got into fights but mostly watched other boys scrabbling on the asphalt. I went to Burger King for Whoppers. Me and my friends cussed. Antonio admonished me when I said, “damn,” while strutting a sidewalk alongside the church. He said, “Jaime”—pronounced Hi-May, which was what all the Mexicans called me—“you’re crazy, eh. Don’t cuss at the church.” He meant while at church, as in, within its vicinity. I said, “We’re not in church.” Once we’d crossed the street, Tony said, “Damn dude, you’re fuckin crazy!” * Blessed Father Fray Junípero Serra raised the Eucharistic goblet to his lips, and candlelight danced on the blood’s tiny waves. Incense clouded the church so completely that some of the Pame natives grew nauseous. So, too, felt Blessed Father Fray Junípero Serra later that night, as he bent over a ceramic bowl and vomited blood, not only the Lord’s, but his own, for poison had laced the sacred vessel into which he poured the sacrament. The physician tending to the sick prelate urged him to take the remedy he’d prepared. But Blessed Father Fray Junípero Serra refused, said that he would pray, for he had never taken any medicine in his life, and he never would. * The Chumash of El Valle de Los Osos called themselves the Stishni, separating themselves from Chumash of other regions, those varying tribes of the central California coast that spoke mutually unintelligible dialects of their Hokan language. This made learning their languages impossible for the Spanish friars, to say nothing of translating the Doctrina. Thus the priests baptized few natives, despite the help that the tribes offered the fledgling settlements in the form of meat and acorn meal, which the Spaniards found repugnant. Some from these cultures, feeling threatened by the newcomers, shot flaming arrows into the thatched roofs of the mission structures. And why wouldn’t they feel threatened when priests chastised them for performing, for example, their Coyote Dance, wherein a man donning a coyote-skin-and-skull costume dances while a singer sings his tale, which laments the human feces strewn imaginatively about the Earth? Coyote, meantime, tries to get an onlooker to lick his genitals, and finally engages in public sexual intercourse with a female tribe member or two, then ends the dance by defecating. Though the Franciscans called such forbidden acts devilry , the Chumash maintained their Datura cult religion, along with the enforced Christianity. For the Chumash, the Earth was made of two enormous snakes that caused earthquakes when they slithered past one another—a vast reptilian tectonics. In the 20th century, long after Blessed Father Fray Junípero Serra and his cohorts had died, when asked by an anthropologist about religious contradictions, conflating the Datura and Christian cults, a Chumash man replied, incredulous: “But these are two different religions.” * When Portolá ordered that if by March 19th, the feast day of St. Joseph, the San Antonio had not arrived in San Diego Bay to relieve them, the Sacred Expedition to Nueva California would be abandoned, Blessed Father Fray Junípero Serra prayed a novena for San José’s intercession. And lo, a lookout sighted the San Antonio ’s sails—what seemed to the priest a miracle—that very Saint’s feast day. Europeans would stay in California, and Blessed Father Fray Junípero Serra would continue to reap a great harvest of souls for the Lord. By the end of mission secularization in 1836—sixty-six years after the San Antonio rescued the Spaniards—Native American populations in California had declined by seventy-three percent. * When Peter the Aleut would not renounce his Eastern Orthodox faith the padre of San Francisco had a toe severed from each foot with each refusal, totaling ten. The native Ohlones employed in this gruesome task—their obsidian chiseled knives tearing through skin and grinding bone—continued as per their orders, and cut off also each of Peter’s fingers (equals a total of twenty refusals). They quartered the martyr, spilled his bowels, as if from bear attack, attack by a bear in the shape of a Catholic. * Blessed Father Fray Junípero Serra absolutely believed that the slow rate of conversion for the native people was due to the influence of the Devil, who had been outraged by the coming of the Catholics to California, this region that he had long held in his dominion. * In his reception speech for the Nobel Prize for Literature, John Steinbeck said, “Man himself has become our greatest hazard and our only hope. So that today, St. John the Apostle may well be paraphrased: In the end is the Word, and the Word is Man—and the Word is with Men.” * In 1602, when Sebastián Vizcaíno and his friars sang mass on Catalina Island, as many as a hundred Pimungans witnessed the rite, asking by signs what it was about. According to Vizcaíno’s records, the Californians marveled not a little at the idea of Heaven and at the image of Jesus crucified. * Vizcaíno was brought to a prairie on Santa Catalina Island where the Pimungans worshipped their sun god. Upon the prairie they had placed an icon, a headless figure with horns protruding from the body, a figure that Vizcaíno predictably described as a demon. The Pimungans urged Vizcaíno not to approach the image of their deity, but he ignored them. He placed his crucifix against the wooden figurine and prayed the Our Father. Vizcaíno told the natives that his prayer was from Heaven, and that their god was the Devil. Vizcaíno held out his crucifix, encouraging the Pimungans to touch it and receive Jesus. He pointed at the sky and indicated Heaven. The Pimungans worshipped a sun deity, so they were impressed with this white man and his description of his god, for their gods seemed to be one and the same. It’s no wonder then that Vizcaíno’s diary reports the natives being pleased with this exchange. “Surely,” the diary says, “they will be converted to our Holy Faith.” * The Miwok women wailed and scratched at their faces when their men consorted with Sir Francis Drake and the other Englishmen who had landed on California’s coast in the summer of 1579. “The blood streaming downe along their brests, besides despoiling the upper parts of their bodies of those single coverings . . .they would with furie cast themselves upon the ground . . . on hard stones, knobby hillocks, stocks of wood, and pricking bushes.” Drake and his men fell themselves to their knees in prayer, their eyes Heavenward, so that the natives might see they prayed to God and they too might worship God then their eyes that had been so blinded by the deceiver might be opened. * Father Fray Antonio de la Ascención—Carmelite friar in Vizcaíno’s party—writes that the Indians of California can “easily and with very little labor be taught our Holy Catholic faith, and that they would receive it well and lovingly.” He calls for two hundred older and honorable soldiers to ensure brotherhood during the conquest, so that peace and love—the best tools to pacify pagans—should reign. The religious, the friar says, should likewise be wise and loving to easily quell animosities between Spaniards and the heathen, and therefore avoid war. The Spaniards should bring with them trinkets—beads, mirrors, knives—to distribute amongst the gentiles, so that they might come to love the Christians, and see “that they are coming to their lands to give them that of which they bring, and not to take away the Indians’ possessions, and may understand that they are seeking the good of their souls.” No women are to accompany the conquest, says Father Fray Antonio, “to avoid offenses to God.” * In 1955 Wallace Stevens admitted himself to St. Francis Hospital in Hartford, Connecticut. There, it’s rumored he converted to Catholicism before dying of stomach cancer, exclaiming to his priest after the baptism, “Now I am in the fold.” Stevens’s late-career poems seem less cynical, more in awe of being and death (read “Metaphor as Degeneration” from The Auroras of Autumn ). He could have chosen from at least three secular hospitals in Hartford at the time. * I was reading Stevens’s Collected Poems when I joined eHarmony and listed that as my “currently reading” book among the “more than twelve” books a year that I would read. I fell in love with my wife when she said, “Are you sending your work out to literary journals?” Prior to this, the first girl I talked to on the phone, when I explained my doctoral exams, said, “So, you’re like, reading Stephen King and stuff?” When I said not exactly she responded defensively: “He must be doing something right, since he makes all that money.” * Mom walked me, my brother, and sister, through the Stations of the Cross. We did this on Ash Wednesdays, or whenever she thought we needed extra God after church. It might’ve happened before church, though that’s unlikely because we were always late. Anyway, it’s easiest to walk the Stations of the Cross when there’s no one else around. To walk the actual Stations means one goes to Jerusalem and walks the Via Dolorosa to the Church of the Holy Sepulchre. So the Stations elsewhere—usually paintings, or low-relief sculptures upon church walls—serve as a kind of virtual Dolorosa. Mom held our hands and started from the rear of Our Lady of Refuge: the First Station. Mom said we should say a prayer at each Station and to think of all the pain Jesus went through so that we could go to Heaven. It was hard to keep thinking about that one thing for so long. My mind went to that Saturday’s little league game, to the donut and chocolate milk (our after-church reward from Castroville Bakery), and as I grew older I thought about girls. When you’re thirteen you can’t not think about the girl’s butt in the pew in front of yours as she kneels and stands to pray throughout mass. * It grew increasingly juvenile to lie awake at night daring myself to utter a simple sentence. Even if I said I didn’t believe in God, wouldn’t He know the truth? He was omniscient, like a narrator. Even the idea of Him as a him ceased making sense. Not only did this come with a budding realization of my paternalistic culture, but due to the simple question of why? If God was everything, everywhere, all knowing, then why would he be a man? There’s that question: If God is a man then God must have a penis, and if so, what for? * The Catholic Church incorporates some modern scientific research into its dogma concerning the formation of the Universe, Solar System, and Earth, as well as evolution. According to Catholic doctrine, in approximately the fifth millennia BCE, humans began to worship the one true God. Those humans were Adam and Eve, though the Church says humans had been around for thousands of years prior to Adam and Eve. The Church claims to be infallible. Every time the Church changes its doctrine it remains infallible. * One Catholic writer, Tom Meagher, writes that “Modernism[—]the idea that we come to our beliefs individually through emotional or personal experiences[—]has crept into our Catholic schools.” * Catholics believe that evil spirits, given power through Original Sin, can imbue ordinary inanimate objects of everyday use. Thus, such objects should be blessed in order to induce in them the desire to serve the good. Such objects are not limited to, but include, “new ships and boats, railways and trains, bridges, fountains, wells, cornmills, limekilns, smelting furnaces, telegrams, steam engines, and machines for providing electricity.” * In The Sound of Music Julie Andrews and Christopher Plummer sing together: “Nothing comes from nothing, nothing ever could...” * To explain competing theories on the very early universe, and pre-verse would be another book. What was the inflaton? Did (mem)branes collide, initiating the Big Bang, as opposed to Lemaître’s primordial atom, a singularity? Without a unified theory there’s gravity hanging out there, fucking everything up. We cannot make sense of the mechanics of the Planck Epoch—0-10-34 seconds into the Universe’s creation—named for Max Planck, who stumbled into the discovery of quantum mechanics in the early twentieth century. * My students often ask if I believe in God, since I espouse evolution, the Big Bang, Science, reject a strictly biblical or creationist theory of the Universe. I tell them that yes, I believe in God, though not the God that they imagine one must believe in. * When questioned regarding the rumor that, before his death, founder of quantum mechanics Max Planck had converted to Catholicism, he replied that he did not believe “in a personal God, let alone a Christian God.” * Physicist and Catholic priest George Lemaître, who formulated the theory and wrote the 1946 book The Primeval Atom Hypothesis , was made a household name by then-detractor Fred Hoyle, who pejoratively referred to the idea as a “Big Bang.” * Suicide is a mortal sin. To end one’s own life one must have despair, which is to lose hope, which is to lose faith, and to disbelieve in God. * Archaeology has uncovered graffiti in all of California’s missions—Indian pictographs inscribed into the adobe, covered with layers of whitewash. Native deities and depictions of cultural practices show that tribespeople never fully gave up their native traditions even after baptism and coming to the missions. There was something inside Native Californians that would never die. (shrink)

This metaphysical and personal exploration of the nature of life provides a rare guide to living and dying fearlessly and with grace. Using the wisdom obtained over a lifetime of spiritual seeking, study, and practice, along with insights gained from the death of her significant other, Clare Goldsberry explores the fundamental nature of life and death, as well as their meaning and purpose. Sharing the wisdom and knowledge of the ancient sages, spiritual teachers like the Buddha, philosophers like Plato and (...) Seneca, and modern-day quantum physicists, Goldsberry walks us through the mystery of death and dying-and explores the meaning and purpose of life. Drawing from Buddhism, Hinduism, and her partner's cancer journey, she provides a profound view of living and dying as seen through the ages by those who have sought answers regarding the most mysterious aspect of life-this thing we call death. Clare Goldsberry has experienced Protestant Christianity, Mormonism, the Ageless Wisdom Teachings, Gnosticism, Hinduism, and Buddhism. She writes about religion and spiritual traditions for Quest magazine and other publications, and her book A Stranger in Zion: A Christian's Journey through the Heart of Utah Mormonism won the Arizona Book Publishers Association's Glyph Award for Best Religion Book in 2003. Goldsberry has also published six books on marketing and sales strategies for small- to mid-sized manufacturing companies, and she founded her own marketing and public relations business in 1989. She lives and works in Arizona. (shrink)

A review of the work of David Finkelstein and others on quantum topology is given, the intention being to present physical ideas and a progress report, which will help readers with the more detailed papers. Some new approaches involving walks on graphs are presented.

Ducklings were placed either singly or in pairs on a platform at two different heights. Both height and pairing influenced performance: More ducklings descended from the platform at low heights, and more single ducklings descended than paired ducklings. The social factor, pairing, made behavior more cautious and decreased the number of distress calls. A similar trend for pairing to influence performance was shown on the visual cliff. Without its peers, the duckling is a distressed animal. Previous careless behavior by ducklings (...) on the visual cliff may be ascribed to testing the ducklings outside their normal social environment. (shrink)

We focus on a particular class of computably enumerable degrees, the array noncomputable degrees defined by Downey, Jockusch, and Stob, to answer questions related to lattice embeddings and definability in the partial ordering of c. e. degrees under Turing reducibility. We demonstrate that the latticeM5 cannot be embedded into the c. e. degrees below every array noncomputable degree, or even below every nonlow array noncomputable degree. As Downey and Shore have proved that M5 can be embedded below every nonlow2 degree, (...) our result is the best possible in terms of array noncomputable degrees and jump classes. Further, this result shows that the array noncomputable degrees are definably different from the nonlow2 degrees. We note also that there are embeddings of M5 in which all five degrees are array noncomputable, and in which the bottom degree is the computable degree 0 but the other four are array noncomputable. (shrink)

A mime presented on videotape Adler’s six great ideas of truth, goodness, beauty, liberty, equality, and justice; their opposites; and the transitions from the positive or “good” concepts to their opposites. Using Johansson’s (1973) technique, the performer’s 12 joints were marked with points of light. Overall, the viewers had marginal success in identifying the concepts, but females were much more successful than males in identifying the “bad” ones of evil, slavery, falsehood, and ugliness, averaging 62% correct to the males’ 23%. (...) The results agree with Hall’s (1984) discussion of sex differences in the interpretation of nonverbal behavior. (shrink)

A computably enumerable (c.e.) degree is a maximal contiguous degree if it is contiguous and no c.e. degree strictly above it is contiguous. We show that there are infinitely many maximal contiguous degrees. Since the contiguous degrees are definable, the class of maximal contiguous degrees provides the first example of a definable infinite anti-chain in the c.e. degrees. In addition, we show that the class of maximal contiguous degrees forms an automorphism base for the c.e. degrees and therefore for the (...) Turing degrees in general. Finally we note that the construction of a maximal contiguous degree can be modified to answer a question of Walk about the array computable degrees and a question of Li about isolated formulas. (shrink)