scholarly journals Gamow’s cyclist: a new look at relativistic measurements for a binocular observer

Author(s):  
E. A. Cryer-Jenkins ◽  
P. D. Stevenson

The visualization of objects moving at relativistic speeds has been a popular topic of study since Special Relativity’s inception. While the standard exposition of the theory describes certain shape-changing effects, such as the Lorentz-contraction, it makes no mention of how an extended object would appear in a snapshot or how apparent distortions could be used for measurement. Previous work on the subject has derived the apparent form of an object, often making mention of George Gamow’s relativistic cyclist thought experiment. Here, a rigorous re-analysis of the cyclist, this time in three dimensions, is undertaken for a binocular observer, accounting for both the distortion in apparent position and the relativistic colour and intensity shifts undergone by a fast-moving object. A methodology for analysing binocular relativistic data is then introduced, allowing the fitting of experimental readings of an object’s apparent position to determine the distance to the object and its velocity. This method is then applied to the simulation of Gamow’s cyclist, producing self-consistent results.

Author(s):  
András Bárány

This chapter turns to object agreement with personal pronouns in Hungarian. Pronouns are interesting because they do not always trigger agreement with the verb: first person objects never trigger object agreement (morphology), and second person pronouns only do with first person singular subjects. It is proposed that the distribution of object agreement is a morphological effect and argues that all personal pronouns do in fact trigger agreement, but agreement is not always spelled out. This means that Hungarian has an inverse agreement system, where the spell-out of agreement is determined by the relative person feature (or person feature sets) of the subject and the object. A formally explicit analysis of the syntax and the morphological spell-out of agreement is provided.


2021 ◽  
Vol 11 (12) ◽  
pp. 5519
Author(s):  
Rui Carvalho ◽  
Alberto Rodrigues da Silva

Sustainable development was defined by the UN in 1987 as development that meets the needs of the present without compromising the ability of future generations to meet their own needs, and this is a core concept in this paper. This work acknowledges the three dimensions of sustainability, i.e., economic, social, and environmental, but its focus is on this last one. A digital twin (DT) is frequently described as a physical entity with a virtual counterpart, and the data, connections between the two, implying the existence of connectors and blocks for efficient and effective data communication. This paper provides a meta systematic literature review (SLR) (i.e., an SLR of SLRs) regarding the sustainability requirements of DT-based systems. Numerous papers on the subject of DT were also selected because they cited the analyzed SLRs and were considered relevant to the purposes of this research. From the selection and analysis of 29 papers, several limitations and challenges were identified: the perceived benefits of DTs are not clearly understood; DTs across the product life cycle or the DT life cycle are not sufficiently studied; it is not clear how DTs can contribute to reducing costs or supporting decision-making; technical implementation of DTs must be improved and better integrated in the context of the IoT; the level of fidelity of DTs is not entirely evaluated in terms of their parameters, accuracy, and level of abstraction; and the ownership of data stored within DTs should be better understood. Furthermore, from our research, it was not possible to find a paper discussing DTs only in regard to environmental sustainability.


2001 ◽  
Vol 16 (11) ◽  
pp. 2119-2124 ◽  
Author(s):  
B.-J. SCHAEFER ◽  
O. BOHR ◽  
J. WAMBACH

Self-consistent new renormalization group flow equations for an O(N)-symmetric scalar theory are approximated in next-to-leading order of the derivative expansion. The Wilson-Fisher fixed point in three dimensions is analyzed in detail and various critical exponents are calculated.


1871 ◽  
Vol 161 ◽  
pp. 413-465 ◽  

The object of the present paper is to bring within the grasp of calculation a much neglected division of ship building scienceand art. Many writers of great ability (French, Spanish, Dutch, Swedish, and English) have studied and explained the forces brought into action upon a ship by her own weight and stability, and by the action of the wind upon her sails and of the waves upon her hull; and the result of their investigations has been to encourage the construction of ships of such forms and such dispositions of weights as conduce to moderate and easy motions in the waves of the sea. The relative positions of the centre of gravity and the metacentre, the excursions of the centres of gravity and buoyancy, the inclinations of the axis of rotation, and many other like questions have been very fully and thoroughly discussed, especially by modern English naval architects; in some cases, I venture to say, with even more elaboration and minuteness of inquiry than their intrinsic importance demands. But while the means of securing ease and moderation of movement of the ship at sea have been thus elaborately studied, in order, mainly, as we have been told, to save the fabric of the ship and its fastenings from excessive strains, comparatively few writers upon naval architecture have pursued the subject to its legitimate and necessary development, by seeking to investigate the actual longitudinal bending- and shearing-strains to which the fabric is in fact exposed in ships of various forms under the various circumstances to which every ship is liable. But more than this: not only has the question of internal strain and strength in the ship been left undeveloped, but a serious fallacy has underlain many of the writings even of men of the greatest eminence upon this subject, viz. the fallacy of considering ease of motion identical with moderation of strain . No doubt ease of motion is very desirable in all ships, and violence of motion tends to distress any given fabric; but at the same time it is quite practicable, as will clearly appear hereafter, to so design and build two ships, that in a sea-way the easier of the two shall be the more distressed even with precisely the same structural arrangements, and therefore it is obviously very desirable to examine the actual strains, both static and dynamic, with which we have to deal. The weakness exhibited by many ships, notwithstanding the greatest care on the part of the designers, has long pointed to the necessity of further investigation in this direction; but two modern events—the introduction of armoured ships, and the use of iron and steel in shipbuilding—have added much to the urgency of the inquiry. A long armoured ship, say, like the ‘Minotaur’ or ‘Agincourt’ (400 feet in length, and with fine tapering extremities burdened with towering masses of armour), when pitching in Atlantic waves, undergoes a succession of stresses of great magnitude, undoubtedly requiring to be brought as much as possible within the grasp of calculation, the more so as these stresses undergo continual changes, sweeping through the fabric, so to speak, with prodigious velocity. The employment of iron and steel, and the improvements which the manufacture of both is undergoing, fortunately facilitate the concentration of the strength of the ship in those parts which are subject to the greatest stresses; and to further this object, a closer knowledge of these stresses than has hitherto been possessed is much needed.


1979 ◽  
Vol 49 (2) ◽  
pp. 343-346 ◽  
Author(s):  
Marcella V. Ridenour

30 boys and 30 girls, 6 yr. old, participated in a study assessing the influence of the visual patterns of moving objects and their respective backgrounds on the prediction of objects' directionality. An apparatus was designed to permit modified spherical objects with interchangeable covers and backgrounds to move in three-dimensional space in three directions at selected speeds. The subject's task was to predict one of three possible directions of an object: the object either moved toward the subject's midline or toward a point 18 in. to the left or right of the midline. The movements of all objects started at the same place which was 19.5 ft. in front of the subject. Prediction time was recorded on 15 trials. Analysis of variance indicated that visual patterns of the moving object did not influence the prediction of the object's directionality. Visual patterns of the background behind the moving object did not influence the prediction of the object's directionality except during the conditions of a light nonpatterned moving object. It was concluded that visual patterns of the background and that of the moving object have a very limited influence on the prediction of direction.


Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 117 ◽  
Author(s):  
Abel Molina

Performing perfect/conclusive quantum state exclusion means to be able to discard with certainty at least one out ofnpossible quantum state preparations by performing a measurement of the resulting state. This task of state exclusion has recently been studied at length in \cite{bandyopadhyay2014conclusive}, and it is at the heart of the celebrated PBR thought experiment \cite{pusey2012reality}. When all the preparations correspond to pure states and there are no more of them than their common dimension, it is an open problem whether POVMs give any additional power for this task with respect to projective measurements. This is the case even for the simple case of three states in three dimensions, which is mentioned in \cite{caves2002conditions} as unsuccessfully tackled. In this paper, we give an analytical proof that in this case considering POVMs does indeed not give any additional power with respect to projective measurements. To do so, we first make without loss of generality some assumptions about the structure of an optimal POVM. The justification of these assumptions involves arguments based on convexity, rank and symmetry properties. We show then that any pure states perfectly excluded by such a POVM meet the conditions identified in \cite{caves2002conditions} for perfect exclusion by a projective measurement of three pure states in three dimensions. We also discuss possible generalizations of our work, including an application of Quadratically Constrained Quadratic Programming that might be of special interest.


2015 ◽  
Author(s):  
Manivannan Subramaniyan ◽  
Alexander S. Ecker ◽  
Saumil S. Patel ◽  
R. James Cotton ◽  
Matthias Bethge ◽  
...  

AbstractWhen the brain has determined the position of a moving object, due to anatomical and processing delays, the object will have already moved to a new location. Given the statistical regularities present in natural motion, the brain may have acquired compensatory mechanisms to minimize the mismatch between the perceived and the real position of a moving object. A well-known visual illusion — the flash lag effect — points towards such a possibility. Although many psychophysical models have been suggested to explain this illusion, their predictions have not been tested at the neural level, particularly in a species of animal known to perceive the illusion. Towards this, we recorded neural responses to flashed and moving bars from primary visual cortex (V1) of awake, fixating macaque monkeys. We found that the response latency to moving bars of varying speed, motion direction and luminance was shorter than that to flashes, in a manner that is consistent with psychophysical results. At the level of V1, our results support the differential latency model positing that flashed and moving bars have different latencies. As we found a neural correlate of the illusion in passively fixating monkeys, our results also suggest that judging the instantaneous position of the moving bar at the time of flash — as required by the postdiction/motion-biasing model — may not be necessary for observing a neural correlate of the illusion. Our results also suggest that the brain may have evolved mechanisms to process moving stimuli faster and closer to real time compared with briefly appearing stationary stimuli.New and NoteworthyWe report several observations in awake macaque V1 that provide support for the differential latency model of the flash lag illusion. We find that the equal latency of flash and moving stimuli as assumed by motion integration/postdiction models does not hold in V1. We show that in macaque V1, motion processing latency depends on stimulus luminance, speed and motion direction in a manner consistent with several psychophysical properties of the flash lag illusion.


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