scholarly journals Transformation of spatial coordinates and time in the transition from inertial reference frame to non-inertial

2018 ◽  
Author(s):  
E. L. Vinogradov
Keyword(s):  
Reference Frame ◽  
Inertial Reference Frame ◽  
Spatial Coordinates

Superluminal Lorentz transformations

2021 ◽  
Vol 34 (1) ◽  
pp. 44-50
Author(s):  
Giorgio Capezzali
Keyword(s):  
Reference Frame ◽  
Physical Meaning ◽  
Lorentz Transformations ◽  
Inertial Reference Frame ◽  
Linear Transformations

In this article, linear transformations of coordinates to a superluminal inertial reference frame are presented. Even if there is no need to use imaginary numbers to maintain c invariant, these functions are just intended as a mathematical curiosity not necessarily having a real physical meaning. Possible applications to our world, if any, are left to the reader.

scholarly journals On the Support that the Special and General Theories of Relativity Provide for Rock’s Argument Concerning Induced Self-Motion and Vice Versa

2020 ◽  
Author(s):  
Douglas Michael Snyder
Keyword(s):  
Reference Frame ◽  
Empirical Work ◽  
Special Theory ◽  
The Other ◽  
Relativity Theory ◽  
Inertial Reference Frame ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Other Hand ◽  
Self Motion

Though Einstein and other physicists recognized the importance of an observer being at rest in an inertial reference frame for the special theory of relativity, the supporting psychological structures were not discussed much by physicists. On the other hand, Rock wrote of the factors involved in the perception of motion, including one’s own motion. Rock thus came to discuss issues of significance to relativity theory, apparently without any significant understanding of how his theory might be related to relativity theory. In this paper, connections between Rock’s theory on the perception of one’s own motion, as well as empirical work supporting it, and relativity theory are explored. Paper available at: https://arxiv.org/abs/physics/9908025v1 .

scholarly journals The Differential Astrometric Reference Frame on short timescales in the Gaia Era

2017 ◽  
Vol 12 (S330) ◽  
pp. 79-80
Author(s):  
Ummi Abbas ◽  
Beatrice Bucciarelli ◽  
Mario G. Lattanzi ◽  
Mariateresa Crosta ◽  
Mario Gai ◽  
...  
Keyword(s):  
Reference Frame ◽  
Large Scale ◽  
Total Error ◽  
Systematic Errors ◽  
Field Of View ◽  
Small Field ◽  
Inertial Reference Frame ◽  
Error Budget ◽  
G 14 ◽  
High Cadence

AbstractWe use methods of differential astrometry to construct a small field inertial reference frame stable at the micro-arcsecond level. Using Gaia measurements of field angles we look at the influence of the number of reference stars and the stars magnitude as well as astrometric systematics on the total error budget with the help of Gaia-like simulations around the Ecliptic Pole in a differential astrometric scenario. We find that the systematic errors are modeled and reliably estimated to the μas level even in fields with a modest number of 37 stars with G <13 mag over a 0.24 sq. degrees field of view for short timescales of the order of a day for a perfect instrument and with high-cadence observations. Accounting for large-scale calibrations by including the geometric instrument model over such short timescales requires fainter stars down to G=14 mag without diminishing the accuracy of the reference frame.

Imagine Your Crossed Hands as Uncrossed: Visual Imagery Impacts the Crossed-Hands Deficit

2021 ◽  
pp. 1-29
Author(s):  
Lisa Lorentz ◽  
Kaian Unwalla ◽  
David I. Shore
Keyword(s):  
Reference Frame ◽  
Reference Frames ◽  
Internal Reference ◽  
Integration Model ◽  
Tactile Localization ◽  
Tactile Stimuli ◽  
External Reference ◽  
Spatial Coordinates ◽  
Localization Performance ◽  
Males And Females

Abstract Successful interaction with our environment requires accurate tactile localization. Although we seem to localize tactile stimuli effortlessly, the processes underlying this ability are complex. This is evidenced by the crossed-hands deficit, in which tactile localization performance suffers when the hands are crossed. The deficit results from the conflict between an internal reference frame, based in somatotopic coordinates, and an external reference frame, based in external spatial coordinates. Previous evidence in favour of the integration model employed manipulations to the external reference frame (e.g., blindfolding participants), which reduced the deficit by reducing conflict between the two reference frames. The present study extends this finding by asking blindfolded participants to visually imagine their crossed arms as uncrossed. This imagery manipulation further decreased the magnitude of the crossed-hands deficit by bringing information in the two reference frames into alignment. This imagery manipulation differentially affected males and females, which was consistent with the previously observed sex difference in this effect: females tend to show a larger crossed-hands deficit than males and females were more impacted by the imagery manipulation. Results are discussed in terms of the integration model of the crossed-hands deficit.

scholarly journals The “twin paradox”: the role of acceleration

2019 ◽  
Vol 97 (10) ◽  
pp. 1049-1063
Author(s):  
J. Gamboa ◽  
F. Mendez ◽  
M.B. Paranjape ◽  
Benoit Sirois
Keyword(s):  
Reference Frame ◽  
Relative Motion ◽  
Complete Resolution ◽  
Proper Time ◽  
The Other ◽  
Twin Paradox ◽  
Age Difference ◽  
Inertial Reference Frame

The “twin paradox” corresponds to the situation where two twins begin at rest in an inertial reference frame, one of them takes a journey, normally very fast and to a distant place, and then returns to the twin at rest. The “twin paradox” evokes the idea that each twin would say that it should be the other who is younger because of their relative motion. A complete resolution of the paradox corresponds to the calculation of the elapsed proper time of each twin, by each twin, and the subsequent observation that they actually get the same answer, that the travelling twin is indeedthe younger twin. Acceleration has a role to play; indeed, if one tries to calculate the age difference from the point of the view of the travelling twin, then the role of the acceleration is crucial and cannot be dismissed. In this tutorial, we show in complete and pedagogical detail, how to do the necessary calculations according to each twin using simple transformations of coordinates.

Accelerated frames and galactic rotation curves

2019 ◽  
Vol 34 (27) ◽  
pp. 1950218
Author(s):  
S. C. Ulhoa ◽  
F. L. Carneiro
Keyword(s):  
Experimental Data ◽  
General Relativity ◽  
Dark Matter ◽  
Reference Frame ◽  
Rotation Curve ◽  
Reference Frames ◽  
Galactic Rotation ◽  
Inertial Reference Frame ◽  
Galactic Rotation Curve ◽  
Accelerated Frames

In this paper, the galactic rotation curve is analyzed as an effect of an accelerated reference frame. Such a rotation curve was the first evidence for the so-called dark matter. We show another possibility for this experimental data: non-inertial reference frame can fit the experimental curve. We also show that general relativity is not enough to completely explain that which encouraged alternatives paths such as the MOND approach. The accelerated reference frames hypothesis is well-suited to deal with the rotation curve of galaxies and perhaps has some role to play concerning other evidences for dark matter.

Object-Centered Neglect in Patients with Unilateral Neglect: Effects of Left-Right Coordinates of Objects

1994 ◽  
Vol 6 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Marlene Behrmann ◽  
Morris Moscovitch
Keyword(s):  
Reference Frame ◽  
Reference Frames ◽  
Frame Of Reference ◽  
The Other ◽  
Unilateral Neglect ◽  
Independent Measure ◽  
Object Based ◽  
Spatial Coordinates ◽  
Left And Right

When patients with right-sided hemispheric lesions neglect information on the left side, with respect to what set of spatial coordinates is left defined? Two potential reference frames were examined in this study, one where left and right are defined with respect to the midline of the viewer and/or environment (viewer/env-centered) and the other where left and right are defined with respect to the midline of the object (object-centered). By rotating the stimulus 90° clockwise or counterclockwise, and instructing patients with neglect to report the colors appearing around the border of a stimulus, an independent measure was obtained for the number of colors reported from the left and right of the viewer/env- and from the object-based reference frame. Whereas significant object-centered neglect was observed only for upper case asymmetrical letters but not for symmetrical letters nor for drawings of familiar animals or objects, significant viewer/env-based neglect was observed with all the stimulus types. We present an account of the coexistence of neglect in more than one frame of reference and the presence of object-centered neglect under a restricted set of conditions.

Sign in / Sign up

Export Citation Format

Share Document