We consider the historic Harress-Sagnac experiment in the light of our absolute space-time theory, proposing two modifications, and we give an account of its recent practical performance. We show that the effect of the rotating disk experiment is a direct result of the light velocity's direction dependence and we point out that our recently performed coupled-mirrors experiment, with whose help for the first time we have measured the Earth's absolute velocity, can be considered as a logical result of the (...) rotating disk experiment. (shrink)

First recorded in the 14th century, the analogy of spit-roast meat argues that expecting the Sun to rotate around a strictly immobile Earth would be just as ludicrous as trying to move the fire around the roasting meat. On the contrary, it should be the Earth that spins upon itself in order to glean, from all possible angles, all the benefits of the Sun, just as it is the meat’s responsibility to turn on the spit before the motionless (...) fire for it to be perfectly cooked on all sides. Aimed at demonstrating, in geocentricism, the plausibility of the rotation of the Earth and, in heliocentrism, at supporting the physical reality of this terrestrial rotation, nowadays this analogy barely elicits more than an amused, or even condescending, smile. However, its continued long-term existence and its frequency of use — from the 14th to the 19th century, we found it mentioned by no less than 45 different authors — incited us to finally pay attention to it. We then noticed that beyond its explicitly cosmological scope, it raises, in its own way, the question of the purpose of the natural world: had the latter been conceived based upon humankind, then it is normal, despite what this analogy advocates, that the Sun is at the service of something more important than itself by rotating, to the profit of humankind, around the Earth; conversely, since such an infringement of the rule of common sense, as illustrated by this analogy, can neither be justified nor tolerated, it is up to the Earth to move around the Sun. Tracing the vicissitudes of this analogy, over 6 centuries, is thus not only about reconstructing the largely forgotten history of a presently obsolete analogy, but also about discovering the deeper meaning, henceforth incomprehensible, behind it. In describing how this meaning became progressively lost, one can finally pro­vide an understanding of why, in the present day, we are no longer capable of more than an amused smile when happening upon it! (shrink)

The earth, the abode of the only form of intelligent life in the universe of which we are aware, is a minor member of a system of nine planets, 40 or so moons and about 100 billion asteroids orbiting around the Sun, an average-size member of the 100-billion-star community making up our galaxy, the Milky Way. It is the third planet to the Sun, which it orbits, following an almost circular elliptical path maintaining an average distance of 1.5×108 km, (...) with the longest and the shortest radii now being 1.53×108 km and 1.47×10 km respectively (Fig. 1). This orbit is subject to changes in its “eccentricity” (i.e., in how much it deviates from a circle) with periods of 105 and 4×10 years5 years (Fig. 2A). In addition, the elliptical orbit itself slowly rotates as shown in Fig. 2B, in what we call the precession. (shrink)

A passage in Copernicus's De Revolutionibus regarding the rotation of the Earth provides evidence that he was aware, whether directly or indirectly, of an Islamic tradition dealing with this problem that goes back to Na[sdotu]īr al-Dīn al-[Tdotu]ūsī. The most striking similarity is the use of comets by both astronomers to discredit Ptolemy's “proofs” in the Almagest that depended upon observational evidence. The manner in which this question was dealt with by Copernicus, as an astronomical rather than natural philosophical (...) matter, also argues for his being within the tradition of late medieval Islamic astronomy, more so than that of medieval Latin scholasticism. This of course is bolstered by his use of non-Ptolemaic models, such as the [Tdotu]ūsī couple, that have a long history in Islam but virtually none in medieval Europe. Finally, al-Qūshjī, who was in Istanbul just before Copernicus was born, entertained the possibility of the Earth's rotation; this also opens up the possibility of non-textual transmission. (shrink)

Gianantonio Tadini (1754–1830) is the little known protagonist in an important experiment carried out in Bergamo between 1794 and 1795. Based on the measurement of the deviation of a falling body, the experiment owes much to the one that was conducted by Giambattista Guglielmini (1760–1817) in Bologna in 1791, which aimed at demonstrating Earth’s rotation. Tadini’s experimental work represents the most successful attempt carried out before the 19th century, and it led to the first correct formulation of deviation’s (...) measurement. In spite of this, it is not well represented in the general literature on the history of experiments intended to show diurnal Earth’s motion.1 The discovery of Tadini’s diary of experiments as well as some notes and a part of his correspondence – preserved as manuscripts in the Angelo Mai municipal library in Bergamo – allows us now to reconstruct the history of Tadini’s experiment and of his reasoning about Guglielmini’s work. In this paper, I describe the genesis and the development of Tadini’s experiment, clarify the role played by the different personalities involved and set these trials against the background of the widest history of proofs on diurnal Earth’s rotation carried out in Europe in those years. (shrink)

In this article, the rotational invariance of entangled quantum states is investigated as a possible cause of the Pauli exclusion principle. First, it is shown that a certain class of rotationally invariant states can only occur in pairs. This is referred to as the coupling principle. This in turn suggests a natural classification of quantum systems into those containing coupled states and those that do not. Surprisingly, it would seem that Fermi–Dirac statistics follows as a consequence of this coupling while (...) the Bose–Einstein follows by breaking it. In Sec. 5, the above approach is related to Pauli's original spin-statistics theorem and finally in the last two sections, a theoretical justification, based on Clebsch–Gordan coefficients and the experimental evidence respectively, is presented. (shrink)

This study examines the spontaneous use of embodied egocentric transformation in understanding false beliefs in the minds of others. EET involves the participants mentally transforming or rotating themselves into the orientation of an agent when trying to adopt his or her visuospatial perspective. We argue that psychological perspective taking such as false belief reasoning may also involve EET because of what has been widely reported in the embodied cognition literature, showing that our processing of abstract, propositional information is often grounded (...) in concrete bodily sensations which are not apparently linked to higher cognition. In Experiment 1, an agent placed a ball into one of two boxes and left. The ball then rolled out and moved either into the other box or back into the original one. The participants were to decide from which box they themselves or the agent would try to recover the ball. Results showed that false belief performance was affected by increased orientation disparity between the participants and the agent, suggesting involvement of embodied transformation. In Experiment 2, false belief was similarly induced and the participants were to decide if the agent would try to recover the ball in one specific box. Orientation disparity was again found to affect false belief performance. The present results extend previous findings on EET in visuospatial perspective taking and suggest that false belief reasoning, which is a kind of psychological perspective taking, can also involve embodied rotation, consistent with the embodied cognition view. (shrink)

This article puts forward a novel smooth rotated hyperbola model for support vector machine (RHSSVM) for classification. As is well known, the Support vector machine (SVM) is based on Statistical Learning Theory and performs its high precision on data classification. However, the objective function is non-differentiable at the zero point. Therefore the fast algorithms cannot be used to train and test the SVM. To deal with it, the proposed method is based on the approximation property of the hyperbola to its (...) asymptotic lines. Firstly, we describe the development of RHSSVM from the basic linear SVM optimization programming. Then we extend the linear model to non-linear model. We prove the solution of RHSSVM is convergent, unique, and global optimal. We show how RHSSVM can be practically implemented. At last, the theoretical analysis illustrates that compared with other three typical models, the rotated hyperbola model has the least error on approximating the plus function. Meanwhile, computer simulations show that the RHSSVM can reduce the consuming time at most 54.6% and can efficiently handle large scale and high dimensional programming. -/- . (shrink)

ε-support vector regression (ε-SVR) as a constrained minimization problem can be converted into an unconstrained convex quadratic programming. Smooth function is the essence of the ε-smooth support vector regression (ε-SSVR). In this paper, a new rotated hyperbola function is proposed to replace the ε-insensitive loss function. The ε-rotated hyperbola smooth support vector regression (ε-RHSSVR) model is presented. Theoretical analyses show that the derived smooth function has improved approximation precision compared with other smooth approximate functions. The Newton-Armijo algorithm is applied to (...) train the new model. Numerical results and comparisons are given to demonstrate the effectiveness and speed of the method. -/- . (shrink)

Determining how we use our body to support cognition represents an important part of understanding the embodied and embedded nature of cognition. In the present investigation, we pursue this question in the context of a common perceptual task. Specifically, we report a series of experiments investigating head tilt (i.e., external normalization) as a strategy in letter naming and reading stimuli that are upright or rotated. We demonstrate that the frequency of this natural behavior is modulated by the cost of stimulus (...) rotation on performance. In addition, we demonstrate that external normalization can benefit performance. All of the results are consistent with the notion that external normalization represents a form of cognitive offloading and that effort is an important factor in the decision to adopt an internal or external strategy. (shrink)

In “Sideways Music”, Ned Markosian uses aesthetic intuitions about temporally-rotated music to argue that the metaphysics of time is different from the metaphysics of space. In response, I use aesthetic intuitions about spatially-rotated paintings to pose a dilemma for Markosian’s argument: either he accepts the intuitions about spatially-rotated paintings, in which case he must give up on some assumptions in his argument, or he rejects intuitions about spatially-rotated paintings, in which case an analogous response can be given regarding intuitions about (...) temporally-rotated music. That is, if Markosian wants to hold on to the assumptions that underwrite his argument, then he thereby offers his opponent the resources with which to resist his conclusion. As such, Markosian’s argument cannot offer a new independent consideration for adjudicating the metaphysical debate between the Dynamic Theorist and the Spacetime Theorist. [Unpublishable 2019]. (shrink)

We investigate how a uniformly rotating frame is defined as the rest frame of an observer rotating with constant angular velocity Ω around the z axis of an inertial frame. Assuming this frame to be a Lorentz one, we second quantize a free massless scalar field in the rotating frame and obtain that creation-annihilation operators of the field are not the same as those of an inertial frame. This leads to a new vacuum state—a rotating vacuum. After this, introducing an (...) apparatus device coupled linearly with the field, we obtain that there is a strong correlation between the number of Trocheries-Takeno particles (in a given state) obtained via canonical quantization and the response function of the rotating detector. Finally, we analyze polarization effects in circular accelerators in the proper frame of the electron, making a connection with the inertial frame point of view. (shrink)

The rotating discs argument against perdurantism has been mostly discussed by metaphysicians, though the argument of course appeals to ideas from classical mechanics, especially about rotation. In contrast, I assess the RDA from the perspective of the philosophy of physics. I argue for three main conclusions. The first conclusion is that the RDA can be formulated more strongly than is usually recognized: it is not necessary to ‘imagine away’ the dynamical effects of rotation. The second is that in (...) general relativity, the RDA fails because of frame-dragging. The third conclusion is that even setting aside general relativity, the strong formulation of the RDA can after all be defeated, namely, by the perdurantist taking objects in classical mechanics to have only temporally extended temporal parts, which immediately blocks the RDA. Admittedly, this version of perdurantism defines persistence in a weaker sense of ‘definition’ than pointilliste versions that aim to define persistence assuming only instantaneous temporal parts. But I argue that temporally extended temporal parts can do the jobs within the endurantism– perdurantism debate that the perdurantist wants temporal parts to do and are supported by both classical and quantum mechanics. Introduction The story so far 2.1 The RDA 2.2 Intrinsic properties and the idea of velocity 2.2.1 The intrinsic–extrinsic distinction 2.2.2 Velocity to the rescue? 2.3 ‘Naturalism’ 2.4 The accompaniments of rotation 2.5 Two kinds of reply: against the consensus Describing rotation 3.1 Rotation is kinematic 3.2 Beware of rigidity 3.3 An improved RDA: allowing the actual accompaniments 3.4 The RDA fails in general relativity Perdurantism without tears: the classical case 4.1 Rejecting instantaneous temporal parts 4.2 Replying to the RDA 4.2.1 ‘Kinematics’ 4.2.2 ‘Dynamics’ 4.2.3 An ‘anti-pointilliste’ objection and reply 4.3 Intrinsic properties of non-instantaneous temporal parts 4.3.1 Can the perdurantist appeal to them? 4.3.2 Temporal intrinsicality at an instant is rare 4.3.3 A better reason for temporal intrinsicality 4.4 Non-instantaneous parts can do the jobs 4.4.1 Humean supervenience revisited 4.4.2 The problem of change 4.4.3 Puzzles of coincidence 4.5 Instantaneous velocity is hardly extrinsic Support from decoherence in quantum theory 5.1 Classical and quantum: relativizing the intrinsic–extrinsic distinction 5.1.1 Unitarity: momentum as temporally intrinsic 5.2 Position and existence as nomically extrinsic. (shrink)

The proposal to create a chamber selected by sortition would extend this democratic procedure into the legislative branch of government. However, there are good reasons to believe that, as currently conceived by John Gastil and Erik Olin Wright, the proposal will fail to realize sufficiently two fundamental democratic goods, namely, political equality and deliberative reasoning. It is argued through analysis of its historic and contemporary application that sortition must be combined with other institutional devices, in particular, rotation of membership (...) and limited mandate, in order to be democratically effective and to realize political equality and deliberative reasoning. An alternative proposal for a responsive sortition legislature is presented as more realistic and utopian: one that increases substantially the number of members, makes more extensive use of internal sortition and rotation, and recognizes the importance of establishing limited mandates. (shrink)

Motor imagery provides a direct insight into action representations. The aim of the present study was to investigate the level of impairment of action monitoring in schizophrenia by evaluating the performance of schizophrenic patients on mental rotation tasks. We raised the following questions: Are schizophrenic patients impaired in motor imagery both at the explicit and at the implicit level? Are body parts more difficult for them to mentally rotate than objects? Is there any link between the performance and the (...) hallucinating symptom profile? The schizophrenic patients displayed the same pattern of performance as the control subjects . More particularly, schizophrenic patients’ reaction time varied as a function of the angular disparity of the stimuli. On the other hand, they were significantly slower and less accurate. Interestingly, patients suffering from hallucinations made significantly more errors than non-hallucinatory patients. We discussed these latter results in terms of deficit of the forward model. We emphasized the necessity to distinguish different levels of action, more or less impaired in schizophrenia. (shrink)

A central point of controversy in the time of the Copernican Revolution was the motion, or not, of the earth. We now take it for granted that Copernicus and Galileo were right; the earth really does move. But to what extent is this conclusion based on observation? This paper explores the meaning and observability of the rotation of the earth and shows that the phenomenon was not observable at the time of Galileo, and it is not (...) observable now. (shrink)

My aim in this paper is to investigate the variants of directionality implied in visual hieratic texts as religious markers in the sacrosphere, which are substantially expressed in the form of a wayside shrine/cross. The methodological underpinnings for this project rely on the proposed semiotactics : the investigative perspective modeled after phonotactics – a branch of phonology investigating the restrictions on and the possibilities of phoneme combinations in languages. The study draws on digital documentation of wayside shrines, crosses, and sacrality (...) markers on houses collected by the author in various European countries, focusing in particular on the material collected in the area of present Slovakia, Ukraine, Austria, Slovenia, and the region of the Beskid Mountains in Poland. It shows how bodily hexis is inscribed into the phenomenology of a wayside shrine through particular types of hierophanic dynamics. The study also focuses on the aspect of headedness and markedness in the nano-structure of a sign, surfacing as directionality in the conceptualization of the religious sphere by particular communities. (shrink)

Two rotational bands have been identified and characterized in the proton-magic N = Z + 1 nucleus Ni-57. These bands complete the systematics of well-and superdeformed rotational bands in the light nickel isotopes starting from doubly magic Ni-56 to Ni-60. High-spin states in Ni-57 have been produced in the fusion-evaporation reaction Si-28(S-32, 2p1n)Ni-57 and studied with the gamma-ray detection array GAMMASPHERE operated in conjunction with detectors for evaporated light charged particles and neutrons. The features of the rotational bands in Ni-57 (...) are compared to those of neighbouring isotopes and interpreted by means of configuration-dependent cranked Nilsson-Strutinsky calculations. The two observed high-spin bands are considered signature partners and assigned to configurations with one 1g(9/2) proton and one 1g(9/2) neutron, resulting in an unambiguous understanding of the energetically favoured signature alpha = -1/2 band but a somewhat less satisfactory description of the signature alpha = +1/2 band. (shrink)

Much indirect evidence supports the hypothesis that transformations of mental images are at least in part guided by motor processes, even in the case of images of abstract objects rather than of body parts. For example, rotation may be guided by processes that also prime one to see results of a specific motor action. We directly test the hypothesis by means of a dual-task paradigm in which subjects perform the Cooper-Shepard mental rotation task while executing an unseen motor (...) rotation in a given direction and at a previously learned speed. Four results support the inference that mental rotation relies on motor processes. First, motor rotation that is compatible with mental rotation results in faster times and fewer errors in the imagery task than when the two rotations are incompatible. Second, the angle through which subjects rotate their mental images, and the angle through which they rotate a joystick handle are correlated, but only if the directions of the two rotations are compatible. Third, motor rotation modifies the classical inverted V-shaped mental rotation response time function, favoring the direction of the motor rotation; indeed, in some cases motor rotation even shifts the location of the minimum of this curve in the direction of the motor rotation. Fourth, the preceding effect is sensitive not only to the direction of the motor rotation, but also to the motor speed. A change in the speed of motor rotation can correspondingly slow down or speed up the mental rotation. (shrink)

Recent work in the physics literature demonstrates that, in particular classes of rotating spacetimes, physical light rays in general do not traverse null geodesics. Having presented this result, we discuss its philosophical significance, both for the clock hypothesis (and, in particular, a recent purported proof thereof for light clocks), and for the operational meaning of the metric field. 1Introduction 2Fletcher's Theorem 2.1Maudlin on the clock hypothesis in special relativity 2.2Fletcher’s result in special relativity 2.3Fletcher’s theorem in general relativity 3Electromagnetism and (...) the Geometrical-Optical Limit 3.1Maxwell’s equations in curved spacetime 3.2The geometrical-optical limit 3.3Rotating spacetimes 3.4Aren’t Gödel spacetimes unphysical? 4The Clock Hypothesis and Chronogeometry 4.1Natural and mathematical observations 4.2Clock registry discord 4.3Chronogeometry 5Conclusion. (shrink)

It is argued that Grøn's criticism of our treatment of the rotating disk in special relativity is incorrect: Our results pertain to an acceleration program different from his but physically no less legitimate.

is the thesis that everything supervenes upon the spatiotemporal distribution of local intrinsic qualities. A recent threat to HS, originating in thought experiments by Armstrong and Kripke, claims that the mere possibility of rotating homogeneous discs proves HS false. I argue that the rotating disc argument (RDA) fails. If I am right, Humeans needn't abandon or alter HS to make sense of rotating homogeneous discs. Homogeneous discs, as necessarily understood by RDA, are not the sorts of things in which we (...) should believe. These discs do not belong in our ontology - not because there is a problem with their homogeneity, but (surprisingly) because there is a problem with their rotation. RDA is shown to be a kind of parody of classic arguments for spatial substantivalism. (shrink)

Using the time orthogonal spatial line element, which characterizes the spatial geometry inside a given reference frame in a coordinate-invariant way, the condition for uniform rotating motion without tangential strain is deduced. The results are the same as those previously found by Grunbaum and Janis using another method, and shows that my earlier criticism of their work is not valid.

New arguments against Bayesian regularity and an otherwise plausible domination principle are offered on the basis of rotational symmetry. The arguments against Bayesian regularity work in very general settings.

We consider the following question within both Newtonian physics and relativity theory. "Given two point particles X and Y, if Y is rotating relative to X, does it follow that X is rotating relative to Y?" As it stands the question is ambiguous. We discuss one way to make it precise and show that, on that reading at least, the answers given by the two theories are radically different. The relation of relative orbital rotation turns out to be symmetric (...) in Newtonian physics, but not in relativity theory. (shrink)

The subject matter of the article is a standard cosmological model of the Universe. Contemporary opinion regarding origin, structure, and evolution of the Universe is of great interest. The answer to the question of the Universe origin is given by the Big Bang Theory. Is it possible to be sure in this theory correctness, which persuading of the Universe origination from the singularity fluctuation, when the World had appeared from nowhere, that is from abstract nothingness, further accelerated expansion of the (...) Universe following the Big Bang, and its development up to present with inexplicable source of energy for that. However, in the extreme end of the meta-universe the speed of stellar formations runaway is about the light velocity. Further, there is a new problem, the finiteness of the Universe. There are two counter-opinions, if the expanding Universe is finite or infinite. A very important question arises here, the question regarding isolatedness of the Universe as a system. The problem of the Universe heat death is closely connected with it. For this reason it is the time to discuss the Universe entropy. There is a short description of notions and problems with reference to this branch of knowledge, as well as of Doppler and Ritz effects alongside with Habble Law. The authors’ detailed interpretation of an entropy is also suggested. The analysis of the existing model is followed by the idea of the authors about the Universe organization. The style of the article is popular-science. In the first part of the article the existing concept of the Expanding Universe Theory and the dynamical Friedmann-Lemaitre models are described; it deals with the existing concept of the Big Bang Theory as well as the dark energy and the dark matter notions. In the second part the author gives detailed interpretation of an entropy. In the last part the problem of theoretical basis and fact nonconformity within the Expanding Universe Model Theory and the authors’ idea about the Universe organization are considered. (shrink)

Bioethics education in residency helps trainees achieve many of the Accreditation Council for Graduate Medical Education milestones and gives them resources to respond to bioethical dilemmas. For this purpose, The Providence Center for Health Care Ethics has offered a robust clinical ethics rotation since 2000. The importance of bioethics for residents was highlighted as the COVID-19 pandemic raised significant bioethical concerns and moral distress for residents. This, combined with significant COVID-19-related practical stressors on residents led us to develop a (...) virtual ethics rotation. A virtual rotation allowed residents flexibility as they were called to help respond to the unprecedented demands of a pandemic without compromising high quality education. This virtual rotation prioritized flexibility to support resident wellbeing and ethical analysis of resident experiences. This article describes how this rotation was able to serve residents without overstraining limited bandwidth, and address the loci of resident pandemic distress. As pandemic pressures lessened, The Providence Center for Health Care Ethics transitioned to a hybrid rotation which continues to prioritize resident wellbeing and analysis of ongoing stressors while incorporating in-person elements where they can improve learning. This article provides a description of the rotation in its final form and resident feedback on its effectiveness. (shrink)

The disk that rotates in an inertial frame in special relativity has long been analysed by assuming a Lorentz contraction of its peripheral elements in that frame, which has produced widely varying views in the literature. We show that this assumption is unnecessary for a disk that corresponds to the simplest form of rotation in special relativity. After constructing such a disk and showing that observers at rest on it do not constitute a true rotating frame, we choose a (...) “master” observer and calculate a set of disk coordinates and spacetime metric pertinent to that observer. We use this formalism to resolve the “circular twin paradox”, then calculate the speed of light sent around the periphery as measured by the master observer, to show that this speed is a function of sent-direction and disk angle traversed. This result is consistent with the Sagnac Effect, but constitutes a finer analysis of that effect, which is normally expressed using an average speed for a full trip of the periphery. We also use the formalism to give a resolution of “Selleri’s paradox”. (shrink)

Recent work in the physics literature demonstrates that, in particular classes of rotating spacetimes, physical light rays in general do not traverse null geodesics. Having presented this result, we discuss its philosophical significance, both for the clock hypothesis (and, in particular, a recent purported proof thereof for light clocks), and for the operational meaning of the metric field. 1Introduction 2Fletcher's Theorem 2.1Maudlin on the clock hypothesis in special relativity 2.2Fletcher’s result in special relativity 2.3Fletcher’s theorem in general relativity 3Electromagnetism and (...) the Geometrical-Optical Limit 3.1Maxwell’s equations in curved spacetime 3.2The geometrical-optical limit 3.3Rotating spacetimes 3.4Aren’t Gödel spacetimes unphysical? 4The Clock Hypothesis and Chronogeometry 4.1Natural and mathematical observations 4.2Clock registry discord 4.3Chronogeometry 5Conclusion. (shrink)